TSTP Solution File: SYN498+1 by Zenon---0.7.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SYN498+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 13:53:37 EDT 2022
% Result : Theorem 0.67s 0.85s
% Output : Proof 0.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYN498+1 : TPTP v8.1.0. Released v2.1.0.
% 0.06/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jul 12 02:18:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.67/0.85 (* PROOF-FOUND *)
% 0.67/0.85 % SZS status Theorem
% 0.67/0.85 (* BEGIN-PROOF *)
% 0.67/0.85 % SZS output start Proof
% 0.67/0.85 Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((c1_1 (a1))/\((c2_1 (a1))/\(~(c3_1 (a1)))))))/\(((~(hskp1))\/((ndr1_0)/\((~(c0_1 (a2)))/\((~(c2_1 (a2)))/\(~(c3_1 (a2)))))))/\(((~(hskp2))\/((ndr1_0)/\((c1_1 (a3))/\((c3_1 (a3))/\(~(c2_1 (a3)))))))/\(((~(hskp3))\/((ndr1_0)/\((c0_1 (a7))/\((c3_1 (a7))/\(~(c2_1 (a7)))))))/\(((~(hskp4))\/((ndr1_0)/\((c0_1 (a9))/\((~(c2_1 (a9)))/\(~(c3_1 (a9)))))))/\(((~(hskp5))\/((ndr1_0)/\((c0_1 (a11))/\((~(c1_1 (a11)))/\(~(c2_1 (a11)))))))/\(((~(hskp6))\/((ndr1_0)/\((~(c0_1 (a13)))/\((~(c1_1 (a13)))/\(~(c3_1 (a13)))))))/\(((~(hskp7))\/((ndr1_0)/\((c1_1 (a14))/\((~(c0_1 (a14)))/\(~(c2_1 (a14)))))))/\(((~(hskp8))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))))/\(((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16)))))))/\(((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18)))))))/\(((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19)))))))/\(((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20)))))))/\(((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21)))))))/\(((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22)))))))/\(((~(hskp15))\/((ndr1_0)/\((~(c0_1 (a24)))/\((~(c1_1 (a24)))/\(~(c2_1 (a24)))))))/\(((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27)))))))/\(((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28)))))))/\(((~(hskp18))\/((ndr1_0)/\((c1_1 (a31))/\((~(c0_1 (a31)))/\(~(c3_1 (a31)))))))/\(((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36)))))))/\(((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37)))))))/\(((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38)))))))/\(((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42)))))))/\(((~(hskp23))\/((ndr1_0)/\((c3_1 (a45))/\((~(c1_1 (a45)))/\(~(c2_1 (a45)))))))/\(((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58)))))))/\(((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70)))))))/\(((~(hskp26))\/((ndr1_0)/\((c1_1 (a99))/\((c2_1 (a99))/\(~(c0_1 (a99)))))))/\(((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12))))))/\(((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25))))))/\(((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35))))))/\(((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c1_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)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))))/\(((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp0)\/(hskp1)))/\(((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp2)\/(hskp1)))/\(((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2)))/\(((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1)))/\(((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0)))/\(((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10))))))))/\(((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))))/\(((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp5)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))))/\(((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp6)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((hskp7)\/(hskp8)))/\(((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))))/\(((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9)))/\(((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp6)))/\(((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10)))/\(((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))))/\(((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp11)))/\(((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12)))/\(((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp13)\/(hskp14)))/\(((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp5)\/(hskp15)))/\(((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7)))/\(((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c3_1 X47)\/(~(c1_1 X47))))))\/((hskp16)\/(hskp17)))/\(((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))))/\(((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6)))/\(((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((hskp3)\/(hskp18)))/\(((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((hskp11)\/(hskp15)))/\(((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(hskp9)))/\(((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19)))/\(((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp20)))/\(((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))))/\(((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp21)\/(hskp17)))/\(((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))))/\(((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))))/\(((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp22)\/(hskp20)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp22)\/(hskp23)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp13)\/(hskp18)))/\(((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp18)))/\(((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1)))/\(((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp12)))/\(((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((hskp9)\/(hskp15)))/\(((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((hskp30)\/(hskp12)))/\(((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20)))/\(((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24)))/\(((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp4)\/(hskp15)))/\(((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp18)\/(hskp23)))/\(((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp21)\/(hskp4)))/\(((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp22)\/(hskp12)))/\(((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))))/\(((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14)))/\(((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp5)\/(hskp25)))/\(((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp17)))/\(((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp24)\/(hskp6)))/\(((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9)))/\(((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9)))/\(((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp28)\/(hskp0)))/\(((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8)))/\(((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10)))/\(((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6)))/\(((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7)))/\(((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11)))/\(((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25)))/\(((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp27)\/(hskp16)))/\(((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3)))/\(((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp22)\/(hskp0)))/\(((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp5)\/(hskp25)))/\(((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24)))/\(((hskp29)\/((hskp26)\/(hskp14)))/\(((hskp27)\/((hskp13)\/(hskp8)))/\(((hskp21)\/((hskp13)\/(hskp24)))/\(((hskp9)\/((hskp2)\/(hskp17)))/\(((hskp16)\/((hskp4)\/(hskp2)))/\(((hskp5)\/((hskp25)\/(hskp28)))/\(((hskp4)\/((hskp28)\/(hskp19)))/\((hskp28)\/((hskp20)\/(hskp1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))).
% 0.67/0.85 Proof.
% 0.67/0.85 assert (zenon_L1_ : (~(hskp16)) -> (hskp16) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H1 zenon_H2.
% 0.67/0.85 exact (zenon_H1 zenon_H2).
% 0.67/0.85 (* end of lemma zenon_L1_ *)
% 0.67/0.85 assert (zenon_L2_ : (~(hskp4)) -> (hskp4) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H3 zenon_H4.
% 0.67/0.85 exact (zenon_H3 zenon_H4).
% 0.67/0.85 (* end of lemma zenon_L2_ *)
% 0.67/0.85 assert (zenon_L3_ : (~(hskp2)) -> (hskp2) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H5 zenon_H6.
% 0.67/0.85 exact (zenon_H5 zenon_H6).
% 0.67/0.85 (* end of lemma zenon_L3_ *)
% 0.67/0.85 assert (zenon_L4_ : ((hskp16)\/((hskp4)\/(hskp2))) -> (~(hskp16)) -> (~(hskp4)) -> (~(hskp2)) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H7 zenon_H1 zenon_H3 zenon_H5.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H2 | zenon_intro zenon_H8 ].
% 0.67/0.85 exact (zenon_H1 zenon_H2).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H8); [ zenon_intro zenon_H4 | zenon_intro zenon_H6 ].
% 0.67/0.85 exact (zenon_H3 zenon_H4).
% 0.67/0.85 exact (zenon_H5 zenon_H6).
% 0.67/0.85 (* end of lemma zenon_L4_ *)
% 0.67/0.85 assert (zenon_L5_ : (~(ndr1_0)) -> (ndr1_0) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H9 zenon_Ha.
% 0.67/0.85 exact (zenon_H9 zenon_Ha).
% 0.67/0.85 (* end of lemma zenon_L5_ *)
% 0.67/0.85 assert (zenon_L6_ : (forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81)))))) -> (ndr1_0) -> (~(c1_1 (a27))) -> (c0_1 (a27)) -> (c3_1 (a27)) -> False).
% 0.67/0.85 do 0 intro. intros zenon_Hb zenon_Ha zenon_Hc zenon_Hd zenon_He.
% 0.67/0.85 generalize (zenon_Hb (a27)). zenon_intro zenon_Hf.
% 0.67/0.85 apply (zenon_imply_s _ _ zenon_Hf); [ zenon_intro zenon_H9 | zenon_intro zenon_H10 ].
% 0.67/0.85 exact (zenon_H9 zenon_Ha).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H10); [ zenon_intro zenon_H12 | zenon_intro zenon_H11 ].
% 0.67/0.85 exact (zenon_Hc zenon_H12).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H11); [ zenon_intro zenon_H14 | zenon_intro zenon_H13 ].
% 0.67/0.85 exact (zenon_H14 zenon_Hd).
% 0.67/0.85 exact (zenon_H13 zenon_He).
% 0.67/0.85 (* end of lemma zenon_L6_ *)
% 0.67/0.85 assert (zenon_L7_ : (~(hskp13)) -> (hskp13) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H15 zenon_H16.
% 0.67/0.85 exact (zenon_H15 zenon_H16).
% 0.67/0.85 (* end of lemma zenon_L7_ *)
% 0.67/0.85 assert (zenon_L8_ : (~(hskp24)) -> (hskp24) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H17 zenon_H18.
% 0.67/0.85 exact (zenon_H17 zenon_H18).
% 0.67/0.85 (* end of lemma zenon_L8_ *)
% 0.67/0.85 assert (zenon_L9_ : ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> (c3_1 (a27)) -> (c0_1 (a27)) -> (~(c1_1 (a27))) -> (ndr1_0) -> (~(hskp13)) -> (~(hskp24)) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H19 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H15 zenon_H17.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H19); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a ].
% 0.67/0.85 apply (zenon_L6_); trivial.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H1a); [ zenon_intro zenon_H16 | zenon_intro zenon_H18 ].
% 0.67/0.85 exact (zenon_H15 zenon_H16).
% 0.67/0.85 exact (zenon_H17 zenon_H18).
% 0.67/0.85 (* end of lemma zenon_L9_ *)
% 0.67/0.85 assert (zenon_L10_ : (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (ndr1_0) -> (~(c0_1 (a58))) -> (~(c1_1 (a58))) -> (c2_1 (a58)) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H1b zenon_Ha zenon_H1c zenon_H1d zenon_H1e.
% 0.67/0.85 generalize (zenon_H1b (a58)). zenon_intro zenon_H1f.
% 0.67/0.85 apply (zenon_imply_s _ _ zenon_H1f); [ zenon_intro zenon_H9 | zenon_intro zenon_H20 ].
% 0.67/0.85 exact (zenon_H9 zenon_Ha).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H20); [ zenon_intro zenon_H22 | zenon_intro zenon_H21 ].
% 0.67/0.85 exact (zenon_H1c zenon_H22).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H24 | zenon_intro zenon_H23 ].
% 0.67/0.85 exact (zenon_H1d zenon_H24).
% 0.67/0.85 exact (zenon_H23 zenon_H1e).
% 0.67/0.85 (* end of lemma zenon_L10_ *)
% 0.67/0.85 assert (zenon_L11_ : (~(hskp3)) -> (hskp3) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H25 zenon_H26.
% 0.67/0.85 exact (zenon_H25 zenon_H26).
% 0.67/0.85 (* end of lemma zenon_L11_ *)
% 0.67/0.85 assert (zenon_L12_ : (~(hskp0)) -> (hskp0) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H27 zenon_H28.
% 0.67/0.85 exact (zenon_H27 zenon_H28).
% 0.67/0.85 (* end of lemma zenon_L12_ *)
% 0.67/0.85 assert (zenon_L13_ : ((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> (~(hskp3)) -> (~(hskp0)) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H29 zenon_H2a zenon_H25 zenon_H27.
% 0.67/0.85 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_Ha. zenon_intro zenon_H2b.
% 0.67/0.85 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 0.67/0.85 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1c. zenon_intro zenon_H1d.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H2a); [ zenon_intro zenon_H1b | zenon_intro zenon_H2d ].
% 0.67/0.85 apply (zenon_L10_); trivial.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H26 | zenon_intro zenon_H28 ].
% 0.67/0.85 exact (zenon_H25 zenon_H26).
% 0.67/0.85 exact (zenon_H27 zenon_H28).
% 0.67/0.85 (* end of lemma zenon_L13_ *)
% 0.67/0.85 assert (zenon_L14_ : ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> (~(hskp0)) -> (~(hskp3)) -> (ndr1_0) -> (~(c1_1 (a27))) -> (c0_1 (a27)) -> (c3_1 (a27)) -> (~(hskp13)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H2e zenon_H2a zenon_H27 zenon_H25 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H15 zenon_H19.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ].
% 0.67/0.85 apply (zenon_L9_); trivial.
% 0.67/0.85 apply (zenon_L13_); trivial.
% 0.67/0.85 (* end of lemma zenon_L14_ *)
% 0.67/0.85 assert (zenon_L15_ : (forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82)))))) -> (ndr1_0) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (c2_1 (a21)) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H2f zenon_Ha zenon_H30 zenon_H31 zenon_H32.
% 0.67/0.85 generalize (zenon_H2f (a21)). zenon_intro zenon_H33.
% 0.67/0.85 apply (zenon_imply_s _ _ zenon_H33); [ zenon_intro zenon_H9 | zenon_intro zenon_H34 ].
% 0.67/0.85 exact (zenon_H9 zenon_Ha).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H36 | zenon_intro zenon_H35 ].
% 0.67/0.85 exact (zenon_H30 zenon_H36).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H38 | zenon_intro zenon_H37 ].
% 0.67/0.85 exact (zenon_H38 zenon_H31).
% 0.67/0.85 exact (zenon_H37 zenon_H32).
% 0.67/0.85 (* end of lemma zenon_L15_ *)
% 0.67/0.85 assert (zenon_L16_ : (~(hskp20)) -> (hskp20) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H39 zenon_H3a.
% 0.67/0.85 exact (zenon_H39 zenon_H3a).
% 0.67/0.85 (* end of lemma zenon_L16_ *)
% 0.67/0.85 assert (zenon_L17_ : ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> (c3_1 (a27)) -> (c0_1 (a27)) -> (~(c1_1 (a27))) -> (c2_1 (a21)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (ndr1_0) -> (~(hskp20)) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H3b zenon_He zenon_Hd zenon_Hc zenon_H32 zenon_H31 zenon_H30 zenon_Ha zenon_H39.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_Hb | zenon_intro zenon_H3c ].
% 0.67/0.85 apply (zenon_L6_); trivial.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H2f | zenon_intro zenon_H3a ].
% 0.67/0.85 apply (zenon_L15_); trivial.
% 0.67/0.85 exact (zenon_H39 zenon_H3a).
% 0.67/0.85 (* end of lemma zenon_L17_ *)
% 0.67/0.85 assert (zenon_L18_ : (~(hskp29)) -> (hskp29) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H3d zenon_H3e.
% 0.67/0.85 exact (zenon_H3d zenon_H3e).
% 0.67/0.85 (* end of lemma zenon_L18_ *)
% 0.67/0.85 assert (zenon_L19_ : (~(hskp19)) -> (hskp19) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H3f zenon_H40.
% 0.67/0.85 exact (zenon_H3f zenon_H40).
% 0.67/0.85 (* end of lemma zenon_L19_ *)
% 0.67/0.85 assert (zenon_L20_ : ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a37)) -> (c1_1 (a37)) -> (~(c0_1 (a37))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp19)) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H41 zenon_H42 zenon_H43 zenon_H44 zenon_Ha zenon_H3d zenon_H3f.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H46 | zenon_intro zenon_H45 ].
% 0.67/0.85 generalize (zenon_H46 (a37)). zenon_intro zenon_H47.
% 0.67/0.85 apply (zenon_imply_s _ _ zenon_H47); [ zenon_intro zenon_H9 | zenon_intro zenon_H48 ].
% 0.67/0.85 exact (zenon_H9 zenon_Ha).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H4a | zenon_intro zenon_H49 ].
% 0.67/0.85 exact (zenon_H44 zenon_H4a).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H4c | zenon_intro zenon_H4b ].
% 0.67/0.85 exact (zenon_H4c zenon_H43).
% 0.67/0.85 exact (zenon_H4b zenon_H42).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H3e | zenon_intro zenon_H40 ].
% 0.67/0.85 exact (zenon_H3d zenon_H3e).
% 0.67/0.85 exact (zenon_H3f zenon_H40).
% 0.67/0.85 (* end of lemma zenon_L20_ *)
% 0.67/0.85 assert (zenon_L21_ : (forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32)))))) -> (ndr1_0) -> (c0_1 (a35)) -> (c1_1 (a35)) -> (c2_1 (a35)) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H4d zenon_Ha zenon_H4e zenon_H4f zenon_H50.
% 0.67/0.85 generalize (zenon_H4d (a35)). zenon_intro zenon_H51.
% 0.67/0.85 apply (zenon_imply_s _ _ zenon_H51); [ zenon_intro zenon_H9 | zenon_intro zenon_H52 ].
% 0.67/0.85 exact (zenon_H9 zenon_Ha).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H54 | zenon_intro zenon_H53 ].
% 0.67/0.85 exact (zenon_H54 zenon_H4e).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H56 | zenon_intro zenon_H55 ].
% 0.67/0.85 exact (zenon_H56 zenon_H4f).
% 0.67/0.85 exact (zenon_H55 zenon_H50).
% 0.67/0.85 (* end of lemma zenon_L21_ *)
% 0.67/0.85 assert (zenon_L22_ : (~(hskp11)) -> (hskp11) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H57 zenon_H58.
% 0.67/0.85 exact (zenon_H57 zenon_H58).
% 0.67/0.85 (* end of lemma zenon_L22_ *)
% 0.67/0.85 assert (zenon_L23_ : ((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> (~(hskp19)) -> (~(hskp11)) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H59 zenon_H5a zenon_H3f zenon_H57.
% 0.67/0.85 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_Ha. zenon_intro zenon_H5b.
% 0.67/0.85 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H4e. zenon_intro zenon_H5c.
% 0.67/0.85 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4f. zenon_intro zenon_H50.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H4d | zenon_intro zenon_H5d ].
% 0.67/0.85 apply (zenon_L21_); trivial.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H40 | zenon_intro zenon_H58 ].
% 0.67/0.85 exact (zenon_H3f zenon_H40).
% 0.67/0.85 exact (zenon_H57 zenon_H58).
% 0.67/0.85 (* end of lemma zenon_L23_ *)
% 0.67/0.85 assert (zenon_L24_ : ((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> (~(hskp11)) -> (~(hskp19)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H5e zenon_H5f zenon_H5a zenon_H57 zenon_H3f zenon_H41.
% 0.67/0.85 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_Ha. zenon_intro zenon_H60.
% 0.67/0.85 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H43. zenon_intro zenon_H61.
% 0.67/0.85 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H42. zenon_intro zenon_H44.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3d | zenon_intro zenon_H59 ].
% 0.67/0.85 apply (zenon_L20_); trivial.
% 0.67/0.85 apply (zenon_L23_); trivial.
% 0.67/0.85 (* end of lemma zenon_L24_ *)
% 0.67/0.85 assert (zenon_L25_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> (~(hskp11)) -> (~(hskp19)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (ndr1_0) -> (~(c1_1 (a27))) -> (c0_1 (a27)) -> (c3_1 (a27)) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (c2_1 (a21)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H62 zenon_H5f zenon_H5a zenon_H57 zenon_H3f zenon_H41 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H30 zenon_H31 zenon_H32 zenon_H3b.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H39 | zenon_intro zenon_H5e ].
% 0.67/0.85 apply (zenon_L17_); trivial.
% 0.67/0.85 apply (zenon_L24_); trivial.
% 0.67/0.85 (* end of lemma zenon_L25_ *)
% 0.67/0.85 assert (zenon_L26_ : (forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))) -> (ndr1_0) -> (c1_1 (a37)) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9)))))) -> (~(c0_1 (a37))) -> (c3_1 (a37)) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H63 zenon_Ha zenon_H43 zenon_H64 zenon_H44 zenon_H42.
% 0.67/0.85 generalize (zenon_H63 (a37)). zenon_intro zenon_H65.
% 0.67/0.85 apply (zenon_imply_s _ _ zenon_H65); [ zenon_intro zenon_H9 | zenon_intro zenon_H66 ].
% 0.67/0.85 exact (zenon_H9 zenon_Ha).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H4c | zenon_intro zenon_H67 ].
% 0.67/0.85 exact (zenon_H4c zenon_H43).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H68 | zenon_intro zenon_H4b ].
% 0.67/0.85 generalize (zenon_H64 (a37)). zenon_intro zenon_H69.
% 0.67/0.85 apply (zenon_imply_s _ _ zenon_H69); [ zenon_intro zenon_H9 | zenon_intro zenon_H6a ].
% 0.67/0.85 exact (zenon_H9 zenon_Ha).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H4a | zenon_intro zenon_H6b ].
% 0.67/0.85 exact (zenon_H44 zenon_H4a).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H6c | zenon_intro zenon_H4b ].
% 0.67/0.85 exact (zenon_H68 zenon_H6c).
% 0.67/0.85 exact (zenon_H4b zenon_H42).
% 0.67/0.85 exact (zenon_H4b zenon_H42).
% 0.67/0.85 (* end of lemma zenon_L26_ *)
% 0.67/0.85 assert (zenon_L27_ : ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (c3_1 (a37)) -> (~(c0_1 (a37))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9)))))) -> (c1_1 (a37)) -> (ndr1_0) -> (~(hskp3)) -> (~(hskp24)) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H6d zenon_H42 zenon_H44 zenon_H64 zenon_H43 zenon_Ha zenon_H25 zenon_H17.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H63 | zenon_intro zenon_H6e ].
% 0.67/0.85 apply (zenon_L26_); trivial.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H26 | zenon_intro zenon_H18 ].
% 0.67/0.85 exact (zenon_H25 zenon_H26).
% 0.67/0.85 exact (zenon_H17 zenon_H18).
% 0.67/0.85 (* end of lemma zenon_L27_ *)
% 0.67/0.85 assert (zenon_L28_ : (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (ndr1_0) -> (~(c1_1 (a36))) -> (c2_1 (a36)) -> (c3_1 (a36)) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H6f zenon_Ha zenon_H70 zenon_H71 zenon_H72.
% 0.67/0.85 generalize (zenon_H6f (a36)). zenon_intro zenon_H73.
% 0.67/0.85 apply (zenon_imply_s _ _ zenon_H73); [ zenon_intro zenon_H9 | zenon_intro zenon_H74 ].
% 0.67/0.85 exact (zenon_H9 zenon_Ha).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H76 | zenon_intro zenon_H75 ].
% 0.67/0.85 exact (zenon_H70 zenon_H76).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H78 | zenon_intro zenon_H77 ].
% 0.67/0.85 exact (zenon_H78 zenon_H71).
% 0.67/0.85 exact (zenon_H77 zenon_H72).
% 0.67/0.85 (* end of lemma zenon_L28_ *)
% 0.67/0.85 assert (zenon_L29_ : (~(hskp10)) -> (hskp10) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H79 zenon_H7a.
% 0.67/0.85 exact (zenon_H79 zenon_H7a).
% 0.67/0.85 (* end of lemma zenon_L29_ *)
% 0.67/0.85 assert (zenon_L30_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp24)) -> (~(hskp3)) -> (c1_1 (a37)) -> (~(c0_1 (a37))) -> (c3_1 (a37)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (c3_1 (a36)) -> (c2_1 (a36)) -> (~(c1_1 (a36))) -> (ndr1_0) -> (~(hskp10)) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H7b zenon_H17 zenon_H25 zenon_H43 zenon_H44 zenon_H42 zenon_H6d zenon_H72 zenon_H71 zenon_H70 zenon_Ha zenon_H79.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H64 | zenon_intro zenon_H7c ].
% 0.67/0.85 apply (zenon_L27_); trivial.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H6f | zenon_intro zenon_H7a ].
% 0.67/0.85 apply (zenon_L28_); trivial.
% 0.67/0.85 exact (zenon_H79 zenon_H7a).
% 0.67/0.85 (* end of lemma zenon_L30_ *)
% 0.67/0.85 assert (zenon_L31_ : ((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (~(c1_1 (a36))) -> (c2_1 (a36)) -> (c3_1 (a36)) -> (~(hskp10)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H5e zenon_H2e zenon_H2a zenon_H27 zenon_H6d zenon_H25 zenon_H70 zenon_H71 zenon_H72 zenon_H79 zenon_H7b.
% 0.67/0.85 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_Ha. zenon_intro zenon_H60.
% 0.67/0.85 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H43. zenon_intro zenon_H61.
% 0.67/0.85 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H42. zenon_intro zenon_H44.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ].
% 0.67/0.85 apply (zenon_L30_); trivial.
% 0.67/0.85 apply (zenon_L13_); trivial.
% 0.67/0.85 (* end of lemma zenon_L31_ *)
% 0.67/0.85 assert (zenon_L32_ : ((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (~(hskp10)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(c1_1 (a27))) -> (c0_1 (a27)) -> (c3_1 (a27)) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (c2_1 (a21)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H7d zenon_H62 zenon_H2e zenon_H2a zenon_H27 zenon_H6d zenon_H25 zenon_H79 zenon_H7b zenon_Hc zenon_Hd zenon_He zenon_H30 zenon_H31 zenon_H32 zenon_H3b.
% 0.67/0.85 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_Ha. zenon_intro zenon_H7e.
% 0.67/0.85 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H71. zenon_intro zenon_H7f.
% 0.67/0.85 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H72. zenon_intro zenon_H70.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H39 | zenon_intro zenon_H5e ].
% 0.67/0.85 apply (zenon_L17_); trivial.
% 0.67/0.85 apply (zenon_L31_); trivial.
% 0.67/0.85 (* end of lemma zenon_L32_ *)
% 0.67/0.85 assert (zenon_L33_ : ((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (~(hskp10)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> (c2_1 (a21)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H80 zenon_H81 zenon_H2e zenon_H2a zenon_H27 zenon_H6d zenon_H25 zenon_H79 zenon_H7b zenon_H3b zenon_H32 zenon_H31 zenon_H30 zenon_H41 zenon_H57 zenon_H5a zenon_H5f zenon_H62.
% 0.67/0.85 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H82.
% 0.67/0.85 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Hd. zenon_intro zenon_H83.
% 0.67/0.85 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ].
% 0.67/0.85 apply (zenon_L25_); trivial.
% 0.67/0.85 apply (zenon_L32_); trivial.
% 0.67/0.85 (* end of lemma zenon_L33_ *)
% 0.67/0.85 assert (zenon_L34_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (~(hskp10)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> (c2_1 (a21)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> (~(hskp4)) -> (~(hskp2)) -> ((hskp16)\/((hskp4)\/(hskp2))) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H84 zenon_H81 zenon_H2e zenon_H2a zenon_H27 zenon_H6d zenon_H25 zenon_H79 zenon_H7b zenon_H3b zenon_H32 zenon_H31 zenon_H30 zenon_H41 zenon_H57 zenon_H5a zenon_H5f zenon_H62 zenon_H3 zenon_H5 zenon_H7.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ].
% 0.67/0.85 apply (zenon_L4_); trivial.
% 0.67/0.85 apply (zenon_L33_); trivial.
% 0.67/0.85 (* end of lemma zenon_L34_ *)
% 0.67/0.85 assert (zenon_L35_ : (forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48)))))) -> (ndr1_0) -> (~(c0_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H85 zenon_Ha zenon_H86 zenon_H87 zenon_H88.
% 0.67/0.85 generalize (zenon_H85 (a19)). zenon_intro zenon_H89.
% 0.67/0.85 apply (zenon_imply_s _ _ zenon_H89); [ zenon_intro zenon_H9 | zenon_intro zenon_H8a ].
% 0.67/0.85 exact (zenon_H9 zenon_Ha).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H8c | zenon_intro zenon_H8b ].
% 0.67/0.85 exact (zenon_H86 zenon_H8c).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H8e | zenon_intro zenon_H8d ].
% 0.67/0.85 exact (zenon_H87 zenon_H8e).
% 0.67/0.85 exact (zenon_H8d zenon_H88).
% 0.67/0.85 (* end of lemma zenon_L35_ *)
% 0.67/0.85 assert (zenon_L36_ : (forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))) -> (ndr1_0) -> (~(c3_1 (a19))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c0_1 (a19))) -> (c2_1 (a19)) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H8f zenon_Ha zenon_H87 zenon_H1b zenon_H86 zenon_H88.
% 0.67/0.85 generalize (zenon_H8f (a19)). zenon_intro zenon_H90.
% 0.67/0.85 apply (zenon_imply_s _ _ zenon_H90); [ zenon_intro zenon_H9 | zenon_intro zenon_H91 ].
% 0.67/0.85 exact (zenon_H9 zenon_Ha).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ].
% 0.67/0.85 exact (zenon_H87 zenon_H8e).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H93 | zenon_intro zenon_H8d ].
% 0.67/0.85 generalize (zenon_H1b (a19)). zenon_intro zenon_H94.
% 0.67/0.85 apply (zenon_imply_s _ _ zenon_H94); [ zenon_intro zenon_H9 | zenon_intro zenon_H95 ].
% 0.67/0.85 exact (zenon_H9 zenon_Ha).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H8c | zenon_intro zenon_H96 ].
% 0.67/0.85 exact (zenon_H86 zenon_H8c).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H97 | zenon_intro zenon_H8d ].
% 0.67/0.85 exact (zenon_H93 zenon_H97).
% 0.67/0.85 exact (zenon_H8d zenon_H88).
% 0.67/0.85 exact (zenon_H8d zenon_H88).
% 0.67/0.85 (* end of lemma zenon_L36_ *)
% 0.67/0.85 assert (zenon_L37_ : (~(hskp6)) -> (hskp6) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H98 zenon_H99.
% 0.67/0.85 exact (zenon_H98 zenon_H99).
% 0.67/0.85 (* end of lemma zenon_L37_ *)
% 0.67/0.85 assert (zenon_L38_ : ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6))) -> (c2_1 (a19)) -> (~(c0_1 (a19))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c3_1 (a19))) -> (ndr1_0) -> (~(hskp6)) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H9a zenon_H88 zenon_H86 zenon_H1b zenon_H87 zenon_Ha zenon_H98.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H85 | zenon_intro zenon_H9b ].
% 0.67/0.85 apply (zenon_L35_); trivial.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H9b); [ zenon_intro zenon_H8f | zenon_intro zenon_H99 ].
% 0.67/0.85 apply (zenon_L36_); trivial.
% 0.67/0.85 exact (zenon_H98 zenon_H99).
% 0.67/0.85 (* end of lemma zenon_L38_ *)
% 0.67/0.85 assert (zenon_L39_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> (~(hskp6)) -> (ndr1_0) -> (~(c3_1 (a19))) -> (~(c0_1 (a19))) -> (c2_1 (a19)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6))) -> (~(hskp3)) -> (~(hskp0)) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H2a zenon_H98 zenon_Ha zenon_H87 zenon_H86 zenon_H88 zenon_H9a zenon_H25 zenon_H27.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H2a); [ zenon_intro zenon_H1b | zenon_intro zenon_H2d ].
% 0.67/0.85 apply (zenon_L38_); trivial.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H26 | zenon_intro zenon_H28 ].
% 0.67/0.85 exact (zenon_H25 zenon_H26).
% 0.67/0.85 exact (zenon_H27 zenon_H28).
% 0.67/0.85 (* end of lemma zenon_L39_ *)
% 0.67/0.85 assert (zenon_L40_ : (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (ndr1_0) -> (~(c0_1 (a18))) -> (c2_1 (a18)) -> (c3_1 (a18)) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H9c zenon_Ha zenon_H9d zenon_H9e zenon_H9f.
% 0.67/0.85 generalize (zenon_H9c (a18)). zenon_intro zenon_Ha0.
% 0.67/0.85 apply (zenon_imply_s _ _ zenon_Ha0); [ zenon_intro zenon_H9 | zenon_intro zenon_Ha1 ].
% 0.67/0.85 exact (zenon_H9 zenon_Ha).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha2 ].
% 0.67/0.85 exact (zenon_H9d zenon_Ha3).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Ha4 ].
% 0.67/0.85 exact (zenon_Ha5 zenon_H9e).
% 0.67/0.85 exact (zenon_Ha4 zenon_H9f).
% 0.67/0.85 (* end of lemma zenon_L40_ *)
% 0.67/0.85 assert (zenon_L41_ : (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9)))))) -> (ndr1_0) -> (~(c0_1 (a18))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (c3_1 (a18)) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H64 zenon_Ha zenon_H9d zenon_H9c zenon_H9f.
% 0.67/0.85 generalize (zenon_H64 (a18)). zenon_intro zenon_Ha6.
% 0.67/0.85 apply (zenon_imply_s _ _ zenon_Ha6); [ zenon_intro zenon_H9 | zenon_intro zenon_Ha7 ].
% 0.67/0.85 exact (zenon_H9 zenon_Ha).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha8 ].
% 0.67/0.85 exact (zenon_H9d zenon_Ha3).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H9e | zenon_intro zenon_Ha4 ].
% 0.67/0.85 apply (zenon_L40_); trivial.
% 0.67/0.85 exact (zenon_Ha4 zenon_H9f).
% 0.67/0.85 (* end of lemma zenon_L41_ *)
% 0.67/0.85 assert (zenon_L42_ : (~(hskp21)) -> (hskp21) -> False).
% 0.67/0.85 do 0 intro. intros zenon_Ha9 zenon_Haa.
% 0.67/0.85 exact (zenon_Ha9 zenon_Haa).
% 0.67/0.85 (* end of lemma zenon_L42_ *)
% 0.67/0.85 assert (zenon_L43_ : (~(hskp17)) -> (hskp17) -> False).
% 0.67/0.85 do 0 intro. intros zenon_Hab zenon_Hac.
% 0.67/0.85 exact (zenon_Hab zenon_Hac).
% 0.67/0.85 (* end of lemma zenon_L43_ *)
% 0.67/0.85 assert (zenon_L44_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp21)\/(hskp17))) -> (c3_1 (a18)) -> (~(c0_1 (a18))) -> (ndr1_0) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9)))))) -> (~(hskp21)) -> (~(hskp17)) -> False).
% 0.67/0.85 do 0 intro. intros zenon_Had zenon_H9f zenon_H9d zenon_Ha zenon_H64 zenon_Ha9 zenon_Hab.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H9c | zenon_intro zenon_Hae ].
% 0.67/0.85 apply (zenon_L41_); trivial.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_Haa | zenon_intro zenon_Hac ].
% 0.67/0.85 exact (zenon_Ha9 zenon_Haa).
% 0.67/0.85 exact (zenon_Hab zenon_Hac).
% 0.67/0.85 (* end of lemma zenon_L44_ *)
% 0.67/0.85 assert (zenon_L45_ : (~(hskp28)) -> (hskp28) -> False).
% 0.67/0.85 do 0 intro. intros zenon_Haf zenon_Hb0.
% 0.67/0.85 exact (zenon_Haf zenon_Hb0).
% 0.67/0.85 (* end of lemma zenon_L45_ *)
% 0.67/0.85 assert (zenon_L46_ : (~(hskp7)) -> (hskp7) -> False).
% 0.67/0.85 do 0 intro. intros zenon_Hb1 zenon_Hb2.
% 0.67/0.85 exact (zenon_Hb1 zenon_Hb2).
% 0.67/0.85 (* end of lemma zenon_L46_ *)
% 0.67/0.85 assert (zenon_L47_ : (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (ndr1_0) -> (forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32)))))) -> (c1_1 (a25)) -> (c2_1 (a25)) -> (c3_1 (a25)) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H9c zenon_Ha zenon_H4d zenon_Hb3 zenon_Hb4 zenon_Hb5.
% 0.67/0.85 generalize (zenon_H9c (a25)). zenon_intro zenon_Hb6.
% 0.67/0.85 apply (zenon_imply_s _ _ zenon_Hb6); [ zenon_intro zenon_H9 | zenon_intro zenon_Hb7 ].
% 0.67/0.85 exact (zenon_H9 zenon_Ha).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ].
% 0.67/0.85 generalize (zenon_H4d (a25)). zenon_intro zenon_Hba.
% 0.67/0.85 apply (zenon_imply_s _ _ zenon_Hba); [ zenon_intro zenon_H9 | zenon_intro zenon_Hbb ].
% 0.67/0.85 exact (zenon_H9 zenon_Ha).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hbc ].
% 0.67/0.85 exact (zenon_Hbd zenon_Hb9).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hbe ].
% 0.67/0.85 exact (zenon_Hbf zenon_Hb3).
% 0.67/0.85 exact (zenon_Hbe zenon_Hb4).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ].
% 0.67/0.85 exact (zenon_Hbe zenon_Hb4).
% 0.67/0.85 exact (zenon_Hc0 zenon_Hb5).
% 0.67/0.85 (* end of lemma zenon_L47_ *)
% 0.67/0.85 assert (zenon_L48_ : (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (ndr1_0) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (c2_1 (a25)) -> (c3_1 (a25)) -> (c1_1 (a25)) -> False).
% 0.67/0.85 do 0 intro. intros zenon_Hc1 zenon_Ha zenon_H9c zenon_Hb4 zenon_Hb5 zenon_Hb3.
% 0.67/0.85 generalize (zenon_Hc1 (a25)). zenon_intro zenon_Hc2.
% 0.67/0.85 apply (zenon_imply_s _ _ zenon_Hc2); [ zenon_intro zenon_H9 | zenon_intro zenon_Hc3 ].
% 0.67/0.85 exact (zenon_H9 zenon_Ha).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc4 ].
% 0.67/0.85 generalize (zenon_H9c (a25)). zenon_intro zenon_Hb6.
% 0.67/0.85 apply (zenon_imply_s _ _ zenon_Hb6); [ zenon_intro zenon_H9 | zenon_intro zenon_Hb7 ].
% 0.67/0.85 exact (zenon_H9 zenon_Ha).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ].
% 0.67/0.85 exact (zenon_Hbd zenon_Hb9).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ].
% 0.67/0.85 exact (zenon_Hbe zenon_Hb4).
% 0.67/0.85 exact (zenon_Hc0 zenon_Hb5).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hc0 ].
% 0.67/0.85 exact (zenon_Hbf zenon_Hb3).
% 0.67/0.85 exact (zenon_Hc0 zenon_Hb5).
% 0.67/0.85 (* end of lemma zenon_L48_ *)
% 0.67/0.85 assert (zenon_L49_ : ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (c1_1 (a25)) -> (c3_1 (a25)) -> (c2_1 (a25)) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (ndr1_0) -> (~(hskp7)) -> False).
% 0.67/0.85 do 0 intro. intros zenon_Hc5 zenon_Hb3 zenon_Hb5 zenon_Hb4 zenon_H9c zenon_Ha zenon_Hb1.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H4d | zenon_intro zenon_Hc6 ].
% 0.67/0.85 apply (zenon_L47_); trivial.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hb2 ].
% 0.67/0.85 apply (zenon_L48_); trivial.
% 0.67/0.85 exact (zenon_Hb1 zenon_Hb2).
% 0.67/0.85 (* end of lemma zenon_L49_ *)
% 0.67/0.85 assert (zenon_L50_ : ((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp21)\/(hskp17))) -> (~(hskp7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp21)) -> (~(hskp17)) -> False).
% 0.67/0.85 do 0 intro. intros zenon_Hc7 zenon_Had zenon_Hb1 zenon_Hc5 zenon_Ha9 zenon_Hab.
% 0.67/0.85 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Ha. zenon_intro zenon_Hc8.
% 0.67/0.85 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb3. zenon_intro zenon_Hc9.
% 0.67/0.85 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H9c | zenon_intro zenon_Hae ].
% 0.67/0.85 apply (zenon_L49_); trivial.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_Haa | zenon_intro zenon_Hac ].
% 0.67/0.85 exact (zenon_Ha9 zenon_Haa).
% 0.67/0.85 exact (zenon_Hab zenon_Hac).
% 0.67/0.85 (* end of lemma zenon_L50_ *)
% 0.67/0.85 assert (zenon_L51_ : (forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))) -> (ndr1_0) -> (~(c2_1 (a38))) -> (c0_1 (a38)) -> (c1_1 (a38)) -> False).
% 0.67/0.85 do 0 intro. intros zenon_Hca zenon_Ha zenon_Hcb zenon_Hcc zenon_Hcd.
% 0.67/0.85 generalize (zenon_Hca (a38)). zenon_intro zenon_Hce.
% 0.67/0.85 apply (zenon_imply_s _ _ zenon_Hce); [ zenon_intro zenon_H9 | zenon_intro zenon_Hcf ].
% 0.67/0.85 exact (zenon_H9 zenon_Ha).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd0 ].
% 0.67/0.85 exact (zenon_Hcb zenon_Hd1).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hd2 ].
% 0.67/0.85 exact (zenon_Hd3 zenon_Hcc).
% 0.67/0.85 exact (zenon_Hd2 zenon_Hcd).
% 0.67/0.85 (* end of lemma zenon_L51_ *)
% 0.67/0.85 assert (zenon_L52_ : (~(hskp14)) -> (hskp14) -> False).
% 0.67/0.85 do 0 intro. intros zenon_Hd4 zenon_Hd5.
% 0.67/0.85 exact (zenon_Hd4 zenon_Hd5).
% 0.67/0.85 (* end of lemma zenon_L52_ *)
% 0.67/0.85 assert (zenon_L53_ : ((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp17))) -> (~(hskp14)) -> (~(hskp17)) -> False).
% 0.67/0.85 do 0 intro. intros zenon_Hd6 zenon_Hd7 zenon_Hd4 zenon_Hab.
% 0.67/0.85 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha. zenon_intro zenon_Hd8.
% 0.67/0.85 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcc. zenon_intro zenon_Hd9.
% 0.67/0.85 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hca | zenon_intro zenon_Hda ].
% 0.67/0.85 apply (zenon_L51_); trivial.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hac ].
% 0.67/0.85 exact (zenon_Hd4 zenon_Hd5).
% 0.67/0.85 exact (zenon_Hab zenon_Hac).
% 0.67/0.85 (* end of lemma zenon_L53_ *)
% 0.67/0.85 assert (zenon_L54_ : (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9)))))) -> (ndr1_0) -> (~(c0_1 (a28))) -> (~(c2_1 (a28))) -> (c3_1 (a28)) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H64 zenon_Ha zenon_Hdb zenon_Hdc zenon_Hdd.
% 0.67/0.85 generalize (zenon_H64 (a28)). zenon_intro zenon_Hde.
% 0.67/0.85 apply (zenon_imply_s _ _ zenon_Hde); [ zenon_intro zenon_H9 | zenon_intro zenon_Hdf ].
% 0.67/0.85 exact (zenon_H9 zenon_Ha).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_He1 | zenon_intro zenon_He0 ].
% 0.67/0.85 exact (zenon_Hdb zenon_He1).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_He3 | zenon_intro zenon_He2 ].
% 0.67/0.85 exact (zenon_Hdc zenon_He3).
% 0.67/0.85 exact (zenon_He2 zenon_Hdd).
% 0.67/0.85 (* end of lemma zenon_L54_ *)
% 0.67/0.85 assert (zenon_L55_ : (forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))) -> (ndr1_0) -> (c1_1 (a25)) -> (c2_1 (a25)) -> (c3_1 (a25)) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H63 zenon_Ha zenon_Hb3 zenon_Hb4 zenon_Hb5.
% 0.67/0.85 generalize (zenon_H63 (a25)). zenon_intro zenon_He4.
% 0.67/0.85 apply (zenon_imply_s _ _ zenon_He4); [ zenon_intro zenon_H9 | zenon_intro zenon_He5 ].
% 0.67/0.85 exact (zenon_H9 zenon_Ha).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hb8 ].
% 0.67/0.85 exact (zenon_Hbf zenon_Hb3).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ].
% 0.67/0.85 exact (zenon_Hbe zenon_Hb4).
% 0.67/0.85 exact (zenon_Hc0 zenon_Hb5).
% 0.67/0.85 (* end of lemma zenon_L55_ *)
% 0.67/0.85 assert (zenon_L56_ : ((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (~(hskp24)) -> False).
% 0.67/0.85 do 0 intro. intros zenon_Hc7 zenon_H6d zenon_H25 zenon_H17.
% 0.67/0.85 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Ha. zenon_intro zenon_Hc8.
% 0.67/0.85 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb3. zenon_intro zenon_Hc9.
% 0.67/0.85 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H63 | zenon_intro zenon_H6e ].
% 0.67/0.85 apply (zenon_L55_); trivial.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H26 | zenon_intro zenon_H18 ].
% 0.67/0.85 exact (zenon_H25 zenon_H26).
% 0.67/0.85 exact (zenon_H17 zenon_H18).
% 0.67/0.85 (* end of lemma zenon_L56_ *)
% 0.67/0.85 assert (zenon_L57_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp24)) -> (~(hskp3)) -> (ndr1_0) -> (~(c0_1 (a28))) -> (~(c2_1 (a28))) -> (c3_1 (a28)) -> (~(hskp7)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> False).
% 0.67/0.85 do 0 intro. intros zenon_He6 zenon_H6d zenon_H17 zenon_H25 zenon_Ha zenon_Hdb zenon_Hdc zenon_Hdd zenon_Hb1 zenon_He7.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ].
% 0.67/0.85 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H64 | zenon_intro zenon_He8 ].
% 0.67/0.85 apply (zenon_L54_); trivial.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb2 ].
% 0.67/0.85 exact (zenon_Haf zenon_Hb0).
% 0.67/0.85 exact (zenon_Hb1 zenon_Hb2).
% 0.67/0.85 apply (zenon_L56_); trivial.
% 0.67/0.85 (* end of lemma zenon_L57_ *)
% 0.67/0.85 assert (zenon_L58_ : (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4)))))) -> (ndr1_0) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))) -> (~(c2_1 (a28))) -> (c3_1 (a28)) -> False).
% 0.67/0.85 do 0 intro. intros zenon_He9 zenon_Ha zenon_Hea zenon_Hdc zenon_Hdd.
% 0.67/0.85 generalize (zenon_He9 (a28)). zenon_intro zenon_Heb.
% 0.67/0.85 apply (zenon_imply_s _ _ zenon_Heb); [ zenon_intro zenon_H9 | zenon_intro zenon_Hec ].
% 0.67/0.85 exact (zenon_H9 zenon_Ha).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hed | zenon_intro zenon_He0 ].
% 0.67/0.85 generalize (zenon_Hea (a28)). zenon_intro zenon_Hee.
% 0.67/0.85 apply (zenon_imply_s _ _ zenon_Hee); [ zenon_intro zenon_H9 | zenon_intro zenon_Hef ].
% 0.67/0.85 exact (zenon_H9 zenon_Ha).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_He3 | zenon_intro zenon_Hf0 ].
% 0.67/0.85 exact (zenon_Hdc zenon_He3).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hf1 | zenon_intro zenon_He2 ].
% 0.67/0.85 exact (zenon_Hf1 zenon_Hed).
% 0.67/0.85 exact (zenon_He2 zenon_Hdd).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_He3 | zenon_intro zenon_He2 ].
% 0.67/0.85 exact (zenon_Hdc zenon_He3).
% 0.67/0.85 exact (zenon_He2 zenon_Hdd).
% 0.67/0.85 (* end of lemma zenon_L58_ *)
% 0.67/0.85 assert (zenon_L59_ : (~(hskp1)) -> (hskp1) -> False).
% 0.67/0.85 do 0 intro. intros zenon_Hf2 zenon_Hf3.
% 0.67/0.85 exact (zenon_Hf2 zenon_Hf3).
% 0.67/0.85 (* end of lemma zenon_L59_ *)
% 0.67/0.85 assert (zenon_L60_ : ((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp1)) -> (~(c2_1 (a28))) -> (c3_1 (a28)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp2)) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H29 zenon_Hf4 zenon_Hf2 zenon_Hdc zenon_Hdd zenon_Hf5 zenon_H5.
% 0.67/0.85 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_Ha. zenon_intro zenon_H2b.
% 0.67/0.85 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 0.67/0.85 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1c. zenon_intro zenon_H1d.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1b | zenon_intro zenon_Hf6 ].
% 0.67/0.85 apply (zenon_L10_); trivial.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He9 | zenon_intro zenon_H6 ].
% 0.67/0.85 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1b | zenon_intro zenon_Hf7 ].
% 0.67/0.85 apply (zenon_L10_); trivial.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hea | zenon_intro zenon_Hf3 ].
% 0.67/0.85 apply (zenon_L58_); trivial.
% 0.67/0.85 exact (zenon_Hf2 zenon_Hf3).
% 0.67/0.85 exact (zenon_H5 zenon_H6).
% 0.67/0.85 (* end of lemma zenon_L60_ *)
% 0.67/0.85 assert (zenon_L61_ : (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (ndr1_0) -> (~(c0_1 (a22))) -> (c2_1 (a22)) -> (c3_1 (a22)) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H9c zenon_Ha zenon_Hf8 zenon_Hf9 zenon_Hfa.
% 0.67/0.85 generalize (zenon_H9c (a22)). zenon_intro zenon_Hfb.
% 0.67/0.85 apply (zenon_imply_s _ _ zenon_Hfb); [ zenon_intro zenon_H9 | zenon_intro zenon_Hfc ].
% 0.67/0.85 exact (zenon_H9 zenon_Ha).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hfe | zenon_intro zenon_Hfd ].
% 0.67/0.85 exact (zenon_Hf8 zenon_Hfe).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H100 | zenon_intro zenon_Hff ].
% 0.67/0.85 exact (zenon_H100 zenon_Hf9).
% 0.67/0.85 exact (zenon_Hff zenon_Hfa).
% 0.67/0.85 (* end of lemma zenon_L61_ *)
% 0.67/0.85 assert (zenon_L62_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp21)\/(hskp17))) -> (c3_1 (a22)) -> (c2_1 (a22)) -> (~(c0_1 (a22))) -> (ndr1_0) -> (~(hskp21)) -> (~(hskp17)) -> False).
% 0.67/0.85 do 0 intro. intros zenon_Had zenon_Hfa zenon_Hf9 zenon_Hf8 zenon_Ha zenon_Ha9 zenon_Hab.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H9c | zenon_intro zenon_Hae ].
% 0.67/0.85 apply (zenon_L61_); trivial.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_Haa | zenon_intro zenon_Hac ].
% 0.67/0.85 exact (zenon_Ha9 zenon_Haa).
% 0.67/0.85 exact (zenon_Hab zenon_Hac).
% 0.67/0.85 (* end of lemma zenon_L62_ *)
% 0.67/0.85 assert (zenon_L63_ : ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp24)\/(hskp6))) -> (c1_1 (a38)) -> (c0_1 (a38)) -> (~(c2_1 (a38))) -> (ndr1_0) -> (~(hskp24)) -> (~(hskp6)) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H101 zenon_Hcd zenon_Hcc zenon_Hcb zenon_Ha zenon_H17 zenon_H98.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hca | zenon_intro zenon_H102 ].
% 0.67/0.85 apply (zenon_L51_); trivial.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H18 | zenon_intro zenon_H99 ].
% 0.67/0.85 exact (zenon_H17 zenon_H18).
% 0.67/0.85 exact (zenon_H98 zenon_H99).
% 0.67/0.85 (* end of lemma zenon_L63_ *)
% 0.67/0.85 assert (zenon_L64_ : ((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> (~(hskp0)) -> (~(hskp3)) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp24)\/(hskp6))) -> False).
% 0.67/0.85 do 0 intro. intros zenon_Hd6 zenon_H2e zenon_H2a zenon_H27 zenon_H25 zenon_H98 zenon_H101.
% 0.67/0.85 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha. zenon_intro zenon_Hd8.
% 0.67/0.85 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcc. zenon_intro zenon_Hd9.
% 0.67/0.85 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ].
% 0.67/0.85 apply (zenon_L63_); trivial.
% 0.67/0.85 apply (zenon_L13_); trivial.
% 0.67/0.85 (* end of lemma zenon_L64_ *)
% 0.67/0.85 assert (zenon_L65_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> (~(hskp0)) -> (~(hskp3)) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp24)\/(hskp6))) -> (ndr1_0) -> (~(c0_1 (a22))) -> (c2_1 (a22)) -> (c3_1 (a22)) -> (~(hskp17)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp21)\/(hskp17))) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H103 zenon_H2e zenon_H2a zenon_H27 zenon_H25 zenon_H98 zenon_H101 zenon_Ha zenon_Hf8 zenon_Hf9 zenon_Hfa zenon_Hab zenon_Had.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hd6 ].
% 0.67/0.85 apply (zenon_L62_); trivial.
% 0.67/0.85 apply (zenon_L64_); trivial.
% 0.67/0.85 (* end of lemma zenon_L65_ *)
% 0.67/0.85 assert (zenon_L66_ : (forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c0_1 (a22))) -> (c2_1 (a22)) -> (c3_1 (a22)) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H63 zenon_Ha zenon_H1b zenon_Hf8 zenon_Hf9 zenon_Hfa.
% 0.67/0.85 generalize (zenon_H63 (a22)). zenon_intro zenon_H104.
% 0.67/0.85 apply (zenon_imply_s _ _ zenon_H104); [ zenon_intro zenon_H9 | zenon_intro zenon_H105 ].
% 0.67/0.85 exact (zenon_H9 zenon_Ha).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H106 | zenon_intro zenon_Hfd ].
% 0.67/0.85 generalize (zenon_H1b (a22)). zenon_intro zenon_H107.
% 0.67/0.85 apply (zenon_imply_s _ _ zenon_H107); [ zenon_intro zenon_H9 | zenon_intro zenon_H108 ].
% 0.67/0.85 exact (zenon_H9 zenon_Ha).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hfe | zenon_intro zenon_H109 ].
% 0.67/0.85 exact (zenon_Hf8 zenon_Hfe).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H10a | zenon_intro zenon_H100 ].
% 0.67/0.85 exact (zenon_H106 zenon_H10a).
% 0.67/0.85 exact (zenon_H100 zenon_Hf9).
% 0.67/0.85 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H100 | zenon_intro zenon_Hff ].
% 0.67/0.85 exact (zenon_H100 zenon_Hf9).
% 0.67/0.85 exact (zenon_Hff zenon_Hfa).
% 0.67/0.85 (* end of lemma zenon_L66_ *)
% 0.67/0.85 assert (zenon_L67_ : ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (c3_1 (a22)) -> (c2_1 (a22)) -> (~(c0_1 (a22))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (ndr1_0) -> (~(hskp3)) -> (~(hskp24)) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H6d zenon_Hfa zenon_Hf9 zenon_Hf8 zenon_H1b zenon_Ha zenon_H25 zenon_H17.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H63 | zenon_intro zenon_H6e ].
% 0.67/0.85 apply (zenon_L66_); trivial.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H26 | zenon_intro zenon_H18 ].
% 0.67/0.85 exact (zenon_H25 zenon_H26).
% 0.67/0.85 exact (zenon_H17 zenon_H18).
% 0.67/0.85 (* end of lemma zenon_L67_ *)
% 0.67/0.85 assert (zenon_L68_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp21)\/(hskp17))) -> (c3_1 (a22)) -> (c2_1 (a22)) -> (~(c0_1 (a22))) -> (ndr1_0) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (~(hskp3)) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H10b zenon_H6d zenon_Hf5 zenon_Hf2 zenon_H5 zenon_Hf4 zenon_Had zenon_Hfa zenon_Hf9 zenon_Hf8 zenon_Ha zenon_H101 zenon_H98 zenon_H25 zenon_H27 zenon_H2a zenon_H2e zenon_H103.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hab | zenon_intro zenon_H10c ].
% 0.67/0.85 apply (zenon_L65_); trivial.
% 0.67/0.85 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Ha. zenon_intro zenon_H10d.
% 0.67/0.85 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Hdd. zenon_intro zenon_H10e.
% 0.67/0.85 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ].
% 0.67/0.85 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1b | zenon_intro zenon_Hf6 ].
% 0.67/0.85 apply (zenon_L67_); trivial.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He9 | zenon_intro zenon_H6 ].
% 0.67/0.85 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1b | zenon_intro zenon_Hf7 ].
% 0.67/0.85 apply (zenon_L67_); trivial.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hea | zenon_intro zenon_Hf3 ].
% 0.67/0.85 apply (zenon_L58_); trivial.
% 0.67/0.85 exact (zenon_Hf2 zenon_Hf3).
% 0.67/0.85 exact (zenon_H5 zenon_H6).
% 0.67/0.85 apply (zenon_L60_); trivial.
% 0.67/0.85 (* end of lemma zenon_L68_ *)
% 0.67/0.85 assert (zenon_L69_ : ((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp21)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (~(hskp3)) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H10f zenon_H10b zenon_H6d zenon_Hf5 zenon_Hf2 zenon_H5 zenon_Hf4 zenon_Had zenon_H101 zenon_H98 zenon_H25 zenon_H27 zenon_H2a zenon_H2e zenon_H103.
% 0.67/0.85 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha. zenon_intro zenon_H110.
% 0.67/0.85 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Hf9. zenon_intro zenon_H111.
% 0.67/0.85 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_Hfa. zenon_intro zenon_Hf8.
% 0.67/0.85 apply (zenon_L68_); trivial.
% 0.67/0.85 (* end of lemma zenon_L69_ *)
% 0.67/0.85 assert (zenon_L70_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp17))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> (ndr1_0) -> (~(c0_1 (a18))) -> (c3_1 (a18)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp21)\/(hskp17))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> False).
% 0.67/0.85 do 0 intro. intros zenon_H112 zenon_H101 zenon_H98 zenon_H27 zenon_H2a zenon_H103 zenon_Hd7 zenon_He7 zenon_Hb1 zenon_Ha zenon_H9d zenon_H9f zenon_Had zenon_Hc5 zenon_He6 zenon_H6d zenon_H25 zenon_Hf5 zenon_Hf2 zenon_H5 zenon_Hf4 zenon_H2e zenon_H10b.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ].
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hab | zenon_intro zenon_H10c ].
% 0.67/0.85 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hd6 ].
% 0.67/0.85 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ].
% 0.67/0.85 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H64 | zenon_intro zenon_He8 ].
% 0.67/0.85 apply (zenon_L44_); trivial.
% 0.67/0.85 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb2 ].
% 0.67/0.85 exact (zenon_Haf zenon_Hb0).
% 0.67/0.85 exact (zenon_Hb1 zenon_Hb2).
% 0.67/0.85 apply (zenon_L50_); trivial.
% 0.67/0.85 apply (zenon_L53_); trivial.
% 0.67/0.85 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Ha. zenon_intro zenon_H10d.
% 0.67/0.85 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Hdd. zenon_intro zenon_H10e.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ].
% 0.67/0.86 apply (zenon_L57_); trivial.
% 0.67/0.86 apply (zenon_L60_); trivial.
% 0.67/0.86 apply (zenon_L69_); trivial.
% 0.67/0.86 (* end of lemma zenon_L70_ *)
% 0.67/0.86 assert (zenon_L71_ : (~(hskp26)) -> (hskp26) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H113 zenon_H114.
% 0.67/0.86 exact (zenon_H113 zenon_H114).
% 0.67/0.86 (* end of lemma zenon_L71_ *)
% 0.67/0.86 assert (zenon_L72_ : ((hskp29)\/((hskp26)\/(hskp14))) -> (~(hskp29)) -> (~(hskp26)) -> (~(hskp14)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H115 zenon_H3d zenon_H113 zenon_Hd4.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H3e | zenon_intro zenon_H116 ].
% 0.67/0.86 exact (zenon_H3d zenon_H3e).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H114 | zenon_intro zenon_Hd5 ].
% 0.67/0.86 exact (zenon_H113 zenon_H114).
% 0.67/0.86 exact (zenon_Hd4 zenon_Hd5).
% 0.67/0.86 (* end of lemma zenon_L72_ *)
% 0.67/0.86 assert (zenon_L73_ : (forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28)))))) -> (ndr1_0) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H117 zenon_Ha zenon_H118 zenon_H119 zenon_H11a.
% 0.67/0.86 generalize (zenon_H117 (a14)). zenon_intro zenon_H11b.
% 0.67/0.86 apply (zenon_imply_s _ _ zenon_H11b); [ zenon_intro zenon_H9 | zenon_intro zenon_H11c ].
% 0.67/0.86 exact (zenon_H9 zenon_Ha).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H11e | zenon_intro zenon_H11d ].
% 0.67/0.86 exact (zenon_H118 zenon_H11e).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H120 | zenon_intro zenon_H11f ].
% 0.67/0.86 exact (zenon_H119 zenon_H120).
% 0.67/0.86 exact (zenon_H11f zenon_H11a).
% 0.67/0.86 (* end of lemma zenon_L73_ *)
% 0.67/0.86 assert (zenon_L74_ : ((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp6))) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> (~(hskp6)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H59 zenon_H121 zenon_H11a zenon_H119 zenon_H118 zenon_H98.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_Ha. zenon_intro zenon_H5b.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H4e. zenon_intro zenon_H5c.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4f. zenon_intro zenon_H50.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H117 | zenon_intro zenon_H122 ].
% 0.67/0.86 apply (zenon_L73_); trivial.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H4d | zenon_intro zenon_H99 ].
% 0.67/0.86 apply (zenon_L21_); trivial.
% 0.67/0.86 exact (zenon_H98 zenon_H99).
% 0.67/0.86 (* end of lemma zenon_L74_ *)
% 0.67/0.86 assert (zenon_L75_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> (~(hskp26)) -> (~(hskp14)) -> ((hskp29)\/((hskp26)\/(hskp14))) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H5f zenon_H121 zenon_H98 zenon_H11a zenon_H119 zenon_H118 zenon_H113 zenon_Hd4 zenon_H115.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3d | zenon_intro zenon_H59 ].
% 0.67/0.86 apply (zenon_L72_); trivial.
% 0.67/0.86 apply (zenon_L74_); trivial.
% 0.67/0.86 (* end of lemma zenon_L75_ *)
% 0.67/0.86 assert (zenon_L76_ : (forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))) -> (ndr1_0) -> (c1_1 (a99)) -> (c2_1 (a99)) -> (c3_1 (a99)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H63 zenon_Ha zenon_H123 zenon_H124 zenon_H125.
% 0.67/0.86 generalize (zenon_H63 (a99)). zenon_intro zenon_H126.
% 0.67/0.86 apply (zenon_imply_s _ _ zenon_H126); [ zenon_intro zenon_H9 | zenon_intro zenon_H127 ].
% 0.67/0.86 exact (zenon_H9 zenon_Ha).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H129 | zenon_intro zenon_H128 ].
% 0.67/0.86 exact (zenon_H129 zenon_H123).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H12b | zenon_intro zenon_H12a ].
% 0.67/0.86 exact (zenon_H12b zenon_H124).
% 0.67/0.86 exact (zenon_H12a zenon_H125).
% 0.67/0.86 (* end of lemma zenon_L76_ *)
% 0.67/0.86 assert (zenon_L77_ : (forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48)))))) -> (ndr1_0) -> (~(c0_1 (a99))) -> (forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))) -> (c1_1 (a99)) -> (c2_1 (a99)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H85 zenon_Ha zenon_H12c zenon_H63 zenon_H123 zenon_H124.
% 0.67/0.86 generalize (zenon_H85 (a99)). zenon_intro zenon_H12d.
% 0.67/0.86 apply (zenon_imply_s _ _ zenon_H12d); [ zenon_intro zenon_H9 | zenon_intro zenon_H12e ].
% 0.67/0.86 exact (zenon_H9 zenon_Ha).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H130 | zenon_intro zenon_H12f ].
% 0.67/0.86 exact (zenon_H12c zenon_H130).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H125 | zenon_intro zenon_H12b ].
% 0.67/0.86 apply (zenon_L76_); trivial.
% 0.67/0.86 exact (zenon_H12b zenon_H124).
% 0.67/0.86 (* end of lemma zenon_L77_ *)
% 0.67/0.86 assert (zenon_L78_ : ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (c2_1 (a99)) -> (c1_1 (a99)) -> (~(c0_1 (a99))) -> (ndr1_0) -> (forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48)))))) -> (~(hskp3)) -> (~(hskp24)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H6d zenon_H124 zenon_H123 zenon_H12c zenon_Ha zenon_H85 zenon_H25 zenon_H17.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H63 | zenon_intro zenon_H6e ].
% 0.67/0.86 apply (zenon_L77_); trivial.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H26 | zenon_intro zenon_H18 ].
% 0.67/0.86 exact (zenon_H25 zenon_H26).
% 0.67/0.86 exact (zenon_H17 zenon_H18).
% 0.67/0.86 (* end of lemma zenon_L78_ *)
% 0.67/0.86 assert (zenon_L79_ : ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (c2_1 (a99)) -> (c1_1 (a99)) -> (ndr1_0) -> (forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))) -> (~(hskp3)) -> (~(hskp24)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H6d zenon_H124 zenon_H123 zenon_Ha zenon_H8f zenon_H25 zenon_H17.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H63 | zenon_intro zenon_H6e ].
% 0.67/0.86 generalize (zenon_H8f (a99)). zenon_intro zenon_H131.
% 0.67/0.86 apply (zenon_imply_s _ _ zenon_H131); [ zenon_intro zenon_H9 | zenon_intro zenon_H132 ].
% 0.67/0.86 exact (zenon_H9 zenon_Ha).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H125 | zenon_intro zenon_H133 ].
% 0.67/0.86 apply (zenon_L76_); trivial.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H129 | zenon_intro zenon_H12b ].
% 0.67/0.86 exact (zenon_H129 zenon_H123).
% 0.67/0.86 exact (zenon_H12b zenon_H124).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H26 | zenon_intro zenon_H18 ].
% 0.67/0.86 exact (zenon_H25 zenon_H26).
% 0.67/0.86 exact (zenon_H17 zenon_H18).
% 0.67/0.86 (* end of lemma zenon_L79_ *)
% 0.67/0.86 assert (zenon_L80_ : ((ndr1_0)/\((c1_1 (a99))/\((c2_1 (a99))/\(~(c0_1 (a99)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6))) -> (~(hskp24)) -> (~(hskp3)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp6)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H134 zenon_H9a zenon_H17 zenon_H25 zenon_H6d zenon_H98.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_Ha. zenon_intro zenon_H135.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H123. zenon_intro zenon_H136.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H124. zenon_intro zenon_H12c.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H85 | zenon_intro zenon_H9b ].
% 0.67/0.86 apply (zenon_L78_); trivial.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H9b); [ zenon_intro zenon_H8f | zenon_intro zenon_H99 ].
% 0.67/0.86 apply (zenon_L79_); trivial.
% 0.67/0.86 exact (zenon_H98 zenon_H99).
% 0.67/0.86 (* end of lemma zenon_L80_ *)
% 0.67/0.86 assert (zenon_L81_ : ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> (~(hskp14)) -> ((hskp29)\/((hskp26)\/(hskp14))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a99))/\((c2_1 (a99))/\(~(c0_1 (a99))))))) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H2e zenon_H2a zenon_H27 zenon_H5f zenon_H121 zenon_H98 zenon_H11a zenon_H119 zenon_H118 zenon_Hd4 zenon_H115 zenon_H6d zenon_H25 zenon_H9a zenon_H137.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ].
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H113 | zenon_intro zenon_H134 ].
% 0.67/0.86 apply (zenon_L75_); trivial.
% 0.67/0.86 apply (zenon_L80_); trivial.
% 0.67/0.86 apply (zenon_L13_); trivial.
% 0.67/0.86 (* end of lemma zenon_L81_ *)
% 0.67/0.86 assert (zenon_L82_ : (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X))))) -> (ndr1_0) -> (~(c0_1 (a13))) -> (~(c1_1 (a13))) -> (~(c3_1 (a13))) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H138 zenon_Ha zenon_H139 zenon_H13a zenon_H13b.
% 0.67/0.86 generalize (zenon_H138 (a13)). zenon_intro zenon_H13c.
% 0.67/0.86 apply (zenon_imply_s _ _ zenon_H13c); [ zenon_intro zenon_H9 | zenon_intro zenon_H13d ].
% 0.67/0.86 exact (zenon_H9 zenon_Ha).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H13f | zenon_intro zenon_H13e ].
% 0.67/0.86 exact (zenon_H139 zenon_H13f).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H141 | zenon_intro zenon_H140 ].
% 0.67/0.86 exact (zenon_H13a zenon_H141).
% 0.67/0.86 exact (zenon_H13b zenon_H140).
% 0.67/0.86 (* end of lemma zenon_L82_ *)
% 0.67/0.86 assert (zenon_L83_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp2)\/(hskp1))) -> (~(c3_1 (a13))) -> (~(c1_1 (a13))) -> (~(c0_1 (a13))) -> (ndr1_0) -> (~(hskp2)) -> (~(hskp1)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H142 zenon_H13b zenon_H13a zenon_H139 zenon_Ha zenon_H5 zenon_Hf2.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H138 | zenon_intro zenon_H143 ].
% 0.67/0.86 apply (zenon_L82_); trivial.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H6 | zenon_intro zenon_Hf3 ].
% 0.67/0.86 exact (zenon_H5 zenon_H6).
% 0.67/0.86 exact (zenon_Hf2 zenon_Hf3).
% 0.67/0.86 (* end of lemma zenon_L83_ *)
% 0.67/0.86 assert (zenon_L84_ : (~(hskp9)) -> (hskp9) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H144 zenon_H145.
% 0.67/0.86 exact (zenon_H144 zenon_H145).
% 0.67/0.86 (* end of lemma zenon_L84_ *)
% 0.67/0.86 assert (zenon_L85_ : ((hskp9)\/((hskp2)\/(hskp17))) -> (~(hskp9)) -> (~(hskp2)) -> (~(hskp17)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H146 zenon_H144 zenon_H5 zenon_Hab.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ].
% 0.67/0.86 exact (zenon_H144 zenon_H145).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H6 | zenon_intro zenon_Hac ].
% 0.67/0.86 exact (zenon_H5 zenon_H6).
% 0.67/0.86 exact (zenon_Hab zenon_Hac).
% 0.67/0.86 (* end of lemma zenon_L85_ *)
% 0.67/0.86 assert (zenon_L86_ : (forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))) -> (ndr1_0) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H148 zenon_Ha zenon_H149 zenon_H14a zenon_H14b.
% 0.67/0.86 generalize (zenon_H148 (a9)). zenon_intro zenon_H14c.
% 0.67/0.86 apply (zenon_imply_s _ _ zenon_H14c); [ zenon_intro zenon_H9 | zenon_intro zenon_H14d ].
% 0.67/0.86 exact (zenon_H9 zenon_Ha).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H14f | zenon_intro zenon_H14e ].
% 0.67/0.86 exact (zenon_H149 zenon_H14f).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H151 | zenon_intro zenon_H150 ].
% 0.67/0.86 exact (zenon_H14a zenon_H151).
% 0.67/0.86 exact (zenon_H150 zenon_H14b).
% 0.67/0.86 (* end of lemma zenon_L86_ *)
% 0.67/0.86 assert (zenon_L87_ : (~(hskp22)) -> (hskp22) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H152 zenon_H153.
% 0.67/0.86 exact (zenon_H152 zenon_H153).
% 0.67/0.86 (* end of lemma zenon_L87_ *)
% 0.67/0.86 assert (zenon_L88_ : (~(hskp12)) -> (hskp12) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H154 zenon_H155.
% 0.67/0.86 exact (zenon_H154 zenon_H155).
% 0.67/0.86 (* end of lemma zenon_L88_ *)
% 0.67/0.86 assert (zenon_L89_ : ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp22)\/(hskp12))) -> (c0_1 (a9)) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> (ndr1_0) -> (~(hskp22)) -> (~(hskp12)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H156 zenon_H14b zenon_H14a zenon_H149 zenon_Ha zenon_H152 zenon_H154.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H148 | zenon_intro zenon_H157 ].
% 0.67/0.86 apply (zenon_L86_); trivial.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ].
% 0.67/0.86 exact (zenon_H152 zenon_H153).
% 0.67/0.86 exact (zenon_H154 zenon_H155).
% 0.67/0.86 (* end of lemma zenon_L89_ *)
% 0.67/0.86 assert (zenon_L90_ : (forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21)))))) -> (ndr1_0) -> (~(c1_1 (a42))) -> (c0_1 (a42)) -> (c2_1 (a42)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H158 zenon_Ha zenon_H159 zenon_H15a zenon_H15b.
% 0.67/0.86 generalize (zenon_H158 (a42)). zenon_intro zenon_H15c.
% 0.67/0.86 apply (zenon_imply_s _ _ zenon_H15c); [ zenon_intro zenon_H9 | zenon_intro zenon_H15d ].
% 0.67/0.86 exact (zenon_H9 zenon_Ha).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H15f | zenon_intro zenon_H15e ].
% 0.67/0.86 exact (zenon_H159 zenon_H15f).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H161 | zenon_intro zenon_H160 ].
% 0.67/0.86 exact (zenon_H161 zenon_H15a).
% 0.67/0.86 exact (zenon_H160 zenon_H15b).
% 0.67/0.86 (* end of lemma zenon_L90_ *)
% 0.67/0.86 assert (zenon_L91_ : (~(hskp30)) -> (hskp30) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H162 zenon_H163.
% 0.67/0.86 exact (zenon_H162 zenon_H163).
% 0.67/0.86 (* end of lemma zenon_L91_ *)
% 0.67/0.86 assert (zenon_L92_ : ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((hskp30)\/(hskp12))) -> (c2_1 (a42)) -> (c0_1 (a42)) -> (~(c1_1 (a42))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp12)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H164 zenon_H15b zenon_H15a zenon_H159 zenon_Ha zenon_H162 zenon_H154.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H158 | zenon_intro zenon_H165 ].
% 0.67/0.86 apply (zenon_L90_); trivial.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H163 | zenon_intro zenon_H155 ].
% 0.67/0.86 exact (zenon_H162 zenon_H163).
% 0.67/0.86 exact (zenon_H154 zenon_H155).
% 0.67/0.86 (* end of lemma zenon_L92_ *)
% 0.67/0.86 assert (zenon_L93_ : (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (ndr1_0) -> (c0_1 (a54)) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (c2_1 (a54)) -> (c3_1 (a54)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_Hc1 zenon_Ha zenon_H166 zenon_H6f zenon_H167 zenon_H168.
% 0.67/0.86 generalize (zenon_Hc1 (a54)). zenon_intro zenon_H169.
% 0.67/0.86 apply (zenon_imply_s _ _ zenon_H169); [ zenon_intro zenon_H9 | zenon_intro zenon_H16a ].
% 0.67/0.86 exact (zenon_H9 zenon_Ha).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H16c | zenon_intro zenon_H16b ].
% 0.67/0.86 exact (zenon_H16c zenon_H166).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H16e | zenon_intro zenon_H16d ].
% 0.67/0.86 generalize (zenon_H6f (a54)). zenon_intro zenon_H16f.
% 0.67/0.86 apply (zenon_imply_s _ _ zenon_H16f); [ zenon_intro zenon_H9 | zenon_intro zenon_H170 ].
% 0.67/0.86 exact (zenon_H9 zenon_Ha).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H172 | zenon_intro zenon_H171 ].
% 0.67/0.86 exact (zenon_H16e zenon_H172).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H173 | zenon_intro zenon_H16d ].
% 0.67/0.86 exact (zenon_H173 zenon_H167).
% 0.67/0.86 exact (zenon_H16d zenon_H168).
% 0.67/0.86 exact (zenon_H16d zenon_H168).
% 0.67/0.86 (* end of lemma zenon_L93_ *)
% 0.67/0.86 assert (zenon_L94_ : ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (c2_1 (a35)) -> (c1_1 (a35)) -> (c0_1 (a35)) -> (c3_1 (a54)) -> (c2_1 (a54)) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (c0_1 (a54)) -> (ndr1_0) -> (~(hskp7)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_Hc5 zenon_H50 zenon_H4f zenon_H4e zenon_H168 zenon_H167 zenon_H6f zenon_H166 zenon_Ha zenon_Hb1.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H4d | zenon_intro zenon_Hc6 ].
% 0.67/0.86 apply (zenon_L21_); trivial.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hb2 ].
% 0.67/0.86 apply (zenon_L93_); trivial.
% 0.67/0.86 exact (zenon_Hb1 zenon_Hb2).
% 0.67/0.86 (* end of lemma zenon_L94_ *)
% 0.67/0.86 assert (zenon_L95_ : ((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (c3_1 (a28)) -> (~(c2_1 (a28))) -> (~(c0_1 (a28))) -> (~(c1_1 (a42))) -> (c0_1 (a42)) -> (c2_1 (a42)) -> (~(hskp12)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((hskp30)\/(hskp12))) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H59 zenon_H174 zenon_H7b zenon_H79 zenon_Hb1 zenon_Hc5 zenon_Hdd zenon_Hdc zenon_Hdb zenon_H159 zenon_H15a zenon_H15b zenon_H154 zenon_H164.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_Ha. zenon_intro zenon_H5b.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H4e. zenon_intro zenon_H5c.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4f. zenon_intro zenon_H50.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H162 | zenon_intro zenon_H175 ].
% 0.67/0.86 apply (zenon_L92_); trivial.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H177.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H167. zenon_intro zenon_H168.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H64 | zenon_intro zenon_H7c ].
% 0.67/0.86 apply (zenon_L54_); trivial.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H6f | zenon_intro zenon_H7a ].
% 0.67/0.86 apply (zenon_L94_); trivial.
% 0.67/0.86 exact (zenon_H79 zenon_H7a).
% 0.67/0.86 (* end of lemma zenon_L95_ *)
% 0.67/0.86 assert (zenon_L96_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (c3_1 (a28)) -> (~(c2_1 (a28))) -> (~(c0_1 (a28))) -> (~(c1_1 (a42))) -> (c0_1 (a42)) -> (c2_1 (a42)) -> (~(hskp12)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((hskp30)\/(hskp12))) -> (~(hskp26)) -> (~(hskp14)) -> ((hskp29)\/((hskp26)\/(hskp14))) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H5f zenon_H174 zenon_H7b zenon_H79 zenon_Hb1 zenon_Hc5 zenon_Hdd zenon_Hdc zenon_Hdb zenon_H159 zenon_H15a zenon_H15b zenon_H154 zenon_H164 zenon_H113 zenon_Hd4 zenon_H115.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3d | zenon_intro zenon_H59 ].
% 0.67/0.86 apply (zenon_L72_); trivial.
% 0.67/0.86 apply (zenon_L95_); trivial.
% 0.67/0.86 (* end of lemma zenon_L96_ *)
% 0.67/0.86 assert (zenon_L97_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a99))/\((c2_1 (a99))/\(~(c0_1 (a99))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6))) -> (~(hskp6)) -> (~(hskp3)) -> (~(hskp24)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> ((hskp29)\/((hskp26)\/(hskp14))) -> (~(hskp14)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((hskp30)\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a42)) -> (c0_1 (a42)) -> (~(c1_1 (a42))) -> (~(c0_1 (a28))) -> (~(c2_1 (a28))) -> (c3_1 (a28)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp10)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H137 zenon_H9a zenon_H98 zenon_H25 zenon_H17 zenon_H6d zenon_H115 zenon_Hd4 zenon_H164 zenon_H154 zenon_H15b zenon_H15a zenon_H159 zenon_Hdb zenon_Hdc zenon_Hdd zenon_Hc5 zenon_Hb1 zenon_H79 zenon_H7b zenon_H174 zenon_H5f.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H113 | zenon_intro zenon_H134 ].
% 0.67/0.86 apply (zenon_L96_); trivial.
% 0.67/0.86 apply (zenon_L80_); trivial.
% 0.67/0.86 (* end of lemma zenon_L97_ *)
% 0.67/0.86 assert (zenon_L98_ : (forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61)))))) -> (ndr1_0) -> (c0_1 (a54)) -> (c2_1 (a54)) -> (c3_1 (a54)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H178 zenon_Ha zenon_H166 zenon_H167 zenon_H168.
% 0.67/0.86 generalize (zenon_H178 (a54)). zenon_intro zenon_H179.
% 0.67/0.86 apply (zenon_imply_s _ _ zenon_H179); [ zenon_intro zenon_H9 | zenon_intro zenon_H17a ].
% 0.67/0.86 exact (zenon_H9 zenon_Ha).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H16c | zenon_intro zenon_H171 ].
% 0.67/0.86 exact (zenon_H16c zenon_H166).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H173 | zenon_intro zenon_H16d ].
% 0.67/0.86 exact (zenon_H173 zenon_H167).
% 0.67/0.86 exact (zenon_H16d zenon_H168).
% 0.67/0.86 (* end of lemma zenon_L98_ *)
% 0.67/0.86 assert (zenon_L99_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a54)) -> (c2_1 (a54)) -> (c0_1 (a54)) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c0_1 (a22))) -> (c2_1 (a22)) -> (c3_1 (a22)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H17b zenon_H168 zenon_H167 zenon_H166 zenon_Ha zenon_H1b zenon_Hf8 zenon_Hf9 zenon_Hfa.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H9c | zenon_intro zenon_H17c ].
% 0.67/0.86 apply (zenon_L61_); trivial.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H178 | zenon_intro zenon_H63 ].
% 0.67/0.86 apply (zenon_L98_); trivial.
% 0.67/0.86 apply (zenon_L66_); trivial.
% 0.67/0.86 (* end of lemma zenon_L99_ *)
% 0.67/0.86 assert (zenon_L100_ : ((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp1)) -> (~(c2_1 (a28))) -> (c3_1 (a28)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(c0_1 (a22))) -> (c2_1 (a22)) -> (c3_1 (a22)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp2)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H175 zenon_Hf4 zenon_Hf2 zenon_Hdc zenon_Hdd zenon_H17b zenon_Hf8 zenon_Hf9 zenon_Hfa zenon_Hf5 zenon_H5.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H177.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H167. zenon_intro zenon_H168.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1b | zenon_intro zenon_Hf6 ].
% 0.67/0.86 apply (zenon_L99_); trivial.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He9 | zenon_intro zenon_H6 ].
% 0.67/0.86 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1b | zenon_intro zenon_Hf7 ].
% 0.67/0.86 apply (zenon_L99_); trivial.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hea | zenon_intro zenon_Hf3 ].
% 0.67/0.86 apply (zenon_L58_); trivial.
% 0.67/0.86 exact (zenon_Hf2 zenon_Hf3).
% 0.67/0.86 exact (zenon_H5 zenon_H6).
% 0.67/0.86 (* end of lemma zenon_L100_ *)
% 0.67/0.86 assert (zenon_L101_ : (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (ndr1_0) -> (~(c1_1 (a20))) -> (~(c3_1 (a20))) -> (c2_1 (a20)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H17d zenon_Ha zenon_H17e zenon_H17f zenon_H180.
% 0.67/0.86 generalize (zenon_H17d (a20)). zenon_intro zenon_H181.
% 0.67/0.86 apply (zenon_imply_s _ _ zenon_H181); [ zenon_intro zenon_H9 | zenon_intro zenon_H182 ].
% 0.67/0.86 exact (zenon_H9 zenon_Ha).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H184 | zenon_intro zenon_H183 ].
% 0.67/0.86 exact (zenon_H17e zenon_H184).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H186 | zenon_intro zenon_H185 ].
% 0.67/0.86 exact (zenon_H17f zenon_H186).
% 0.67/0.86 exact (zenon_H185 zenon_H180).
% 0.67/0.86 (* end of lemma zenon_L101_ *)
% 0.67/0.86 assert (zenon_L102_ : ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (c2_1 (a20)) -> (~(c3_1 (a20))) -> (~(c1_1 (a20))) -> (ndr1_0) -> (~(hskp10)) -> (~(hskp1)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H187 zenon_H180 zenon_H17f zenon_H17e zenon_Ha zenon_H79 zenon_Hf2.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H17d | zenon_intro zenon_H188 ].
% 0.67/0.86 apply (zenon_L101_); trivial.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H7a | zenon_intro zenon_Hf3 ].
% 0.67/0.86 exact (zenon_H79 zenon_H7a).
% 0.67/0.86 exact (zenon_Hf2 zenon_Hf3).
% 0.67/0.86 (* end of lemma zenon_L102_ *)
% 0.67/0.86 assert (zenon_L103_ : ((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp10)) -> (~(hskp1)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H189 zenon_H187 zenon_H79 zenon_Hf2.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_Ha. zenon_intro zenon_H18a.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H180. zenon_intro zenon_H18b.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17e. zenon_intro zenon_H17f.
% 0.67/0.86 apply (zenon_L102_); trivial.
% 0.67/0.86 (* end of lemma zenon_L103_ *)
% 0.67/0.86 assert (zenon_L104_ : ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((hskp30)\/(hskp12))) -> ((hskp29)\/((hskp26)\/(hskp14))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a99))/\((c2_1 (a99))/\(~(c0_1 (a99))))))) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp22)\/(hskp12))) -> (~(hskp9)) -> (~(hskp2)) -> ((hskp9)\/((hskp2)\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H18c zenon_H187 zenon_H10b zenon_H18d zenon_H2e zenon_H2a zenon_H27 zenon_H5f zenon_H174 zenon_H7b zenon_H79 zenon_Hb1 zenon_Hc5 zenon_H164 zenon_H115 zenon_H6d zenon_H25 zenon_H98 zenon_H9a zenon_H137 zenon_H149 zenon_H14a zenon_H14b zenon_H156 zenon_H144 zenon_H5 zenon_H146 zenon_H17b zenon_Hf5 zenon_Hf2 zenon_Hf4 zenon_H112.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H154 | zenon_intro zenon_H189 ].
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ].
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hab | zenon_intro zenon_H10c ].
% 0.67/0.86 apply (zenon_L85_); trivial.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Ha. zenon_intro zenon_H10d.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Hdd. zenon_intro zenon_H10e.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ].
% 0.67/0.86 apply (zenon_L89_); trivial.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15a. zenon_intro zenon_H190.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ].
% 0.67/0.86 apply (zenon_L97_); trivial.
% 0.67/0.86 apply (zenon_L13_); trivial.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha. zenon_intro zenon_H110.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Hf9. zenon_intro zenon_H111.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_Hfa. zenon_intro zenon_Hf8.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hab | zenon_intro zenon_H10c ].
% 0.67/0.86 apply (zenon_L85_); trivial.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Ha. zenon_intro zenon_H10d.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Hdd. zenon_intro zenon_H10e.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ].
% 0.67/0.86 apply (zenon_L89_); trivial.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15a. zenon_intro zenon_H190.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H162 | zenon_intro zenon_H175 ].
% 0.67/0.86 apply (zenon_L92_); trivial.
% 0.67/0.86 apply (zenon_L100_); trivial.
% 0.67/0.86 apply (zenon_L103_); trivial.
% 0.67/0.86 (* end of lemma zenon_L104_ *)
% 0.67/0.86 assert (zenon_L105_ : ((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp17))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp21)\/(hskp17))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H191 zenon_H112 zenon_H101 zenon_H98 zenon_H27 zenon_H2a zenon_H103 zenon_Hd7 zenon_He7 zenon_Hb1 zenon_Had zenon_Hc5 zenon_He6 zenon_H6d zenon_H25 zenon_Hf5 zenon_Hf2 zenon_H5 zenon_Hf4 zenon_H2e zenon_H10b.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194.
% 0.67/0.86 apply (zenon_L70_); trivial.
% 0.67/0.86 (* end of lemma zenon_L105_ *)
% 0.67/0.86 assert (zenon_L106_ : (forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))) -> (ndr1_0) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H195 zenon_Ha zenon_H196 zenon_H197 zenon_H198.
% 0.67/0.86 generalize (zenon_H195 (a16)). zenon_intro zenon_H199.
% 0.67/0.86 apply (zenon_imply_s _ _ zenon_H199); [ zenon_intro zenon_H9 | zenon_intro zenon_H19a ].
% 0.67/0.86 exact (zenon_H9 zenon_Ha).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H19c | zenon_intro zenon_H19b ].
% 0.67/0.86 exact (zenon_H196 zenon_H19c).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H19e | zenon_intro zenon_H19d ].
% 0.67/0.86 exact (zenon_H19e zenon_H197).
% 0.67/0.86 exact (zenon_H19d zenon_H198).
% 0.67/0.86 (* end of lemma zenon_L106_ *)
% 0.67/0.86 assert (zenon_L107_ : ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (ndr1_0) -> (~(hskp21)) -> (~(hskp10)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H19f zenon_H198 zenon_H197 zenon_H196 zenon_Ha zenon_Ha9 zenon_H79.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H195 | zenon_intro zenon_H1a0 ].
% 0.67/0.86 apply (zenon_L106_); trivial.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Haa | zenon_intro zenon_H7a ].
% 0.67/0.86 exact (zenon_Ha9 zenon_Haa).
% 0.67/0.86 exact (zenon_H79 zenon_H7a).
% 0.67/0.86 (* end of lemma zenon_L107_ *)
% 0.67/0.86 assert (zenon_L108_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> (~(hskp0)) -> (~(hskp3)) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp24)\/(hskp6))) -> (ndr1_0) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> (~(hskp10)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H103 zenon_H2e zenon_H2a zenon_H27 zenon_H25 zenon_H98 zenon_H101 zenon_Ha zenon_H196 zenon_H197 zenon_H198 zenon_H79 zenon_H19f.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hd6 ].
% 0.67/0.86 apply (zenon_L107_); trivial.
% 0.67/0.86 apply (zenon_L64_); trivial.
% 0.67/0.86 (* end of lemma zenon_L108_ *)
% 0.67/0.86 assert (zenon_L109_ : ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp17))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp21)\/(hskp17))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (ndr1_0) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (~(hskp3)) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H1a1 zenon_H112 zenon_Hd7 zenon_He7 zenon_Hb1 zenon_Had zenon_Hc5 zenon_He6 zenon_H6d zenon_Hf5 zenon_Hf2 zenon_H5 zenon_Hf4 zenon_H10b zenon_H19f zenon_H198 zenon_H197 zenon_H196 zenon_Ha zenon_H101 zenon_H98 zenon_H25 zenon_H27 zenon_H2a zenon_H2e zenon_H103.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ].
% 0.67/0.86 apply (zenon_L108_); trivial.
% 0.67/0.86 apply (zenon_L105_); trivial.
% 0.67/0.86 (* end of lemma zenon_L109_ *)
% 0.67/0.86 assert (zenon_L110_ : ((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp17))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp21)\/(hskp17))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (~(hskp3)) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H1a2 zenon_H1a1 zenon_H112 zenon_Hd7 zenon_He7 zenon_Hb1 zenon_Had zenon_Hc5 zenon_He6 zenon_H6d zenon_Hf5 zenon_Hf2 zenon_H5 zenon_Hf4 zenon_H10b zenon_H19f zenon_H101 zenon_H98 zenon_H25 zenon_H27 zenon_H2a zenon_H2e zenon_H103.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196.
% 0.67/0.86 apply (zenon_L109_); trivial.
% 0.67/0.86 (* end of lemma zenon_L110_ *)
% 0.67/0.86 assert (zenon_L111_ : (forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))) -> (ndr1_0) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (c2_1 (a22)) -> (c3_1 (a22)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H63 zenon_Ha zenon_H6f zenon_Hf9 zenon_Hfa.
% 0.67/0.86 generalize (zenon_H63 (a22)). zenon_intro zenon_H104.
% 0.67/0.86 apply (zenon_imply_s _ _ zenon_H104); [ zenon_intro zenon_H9 | zenon_intro zenon_H105 ].
% 0.67/0.86 exact (zenon_H9 zenon_Ha).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H106 | zenon_intro zenon_Hfd ].
% 0.67/0.86 generalize (zenon_H6f (a22)). zenon_intro zenon_H1a5.
% 0.67/0.86 apply (zenon_imply_s _ _ zenon_H1a5); [ zenon_intro zenon_H9 | zenon_intro zenon_H1a6 ].
% 0.67/0.86 exact (zenon_H9 zenon_Ha).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H10a | zenon_intro zenon_Hfd ].
% 0.67/0.86 exact (zenon_H106 zenon_H10a).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H100 | zenon_intro zenon_Hff ].
% 0.67/0.86 exact (zenon_H100 zenon_Hf9).
% 0.67/0.86 exact (zenon_Hff zenon_Hfa).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H100 | zenon_intro zenon_Hff ].
% 0.67/0.86 exact (zenon_H100 zenon_Hf9).
% 0.67/0.86 exact (zenon_Hff zenon_Hfa).
% 0.67/0.86 (* end of lemma zenon_L111_ *)
% 0.67/0.86 assert (zenon_L112_ : ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (c3_1 (a22)) -> (c2_1 (a22)) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (ndr1_0) -> (~(hskp3)) -> (~(hskp24)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H6d zenon_Hfa zenon_Hf9 zenon_H6f zenon_Ha zenon_H25 zenon_H17.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H63 | zenon_intro zenon_H6e ].
% 0.67/0.86 apply (zenon_L111_); trivial.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H26 | zenon_intro zenon_H18 ].
% 0.67/0.86 exact (zenon_H25 zenon_H26).
% 0.67/0.86 exact (zenon_H17 zenon_H18).
% 0.67/0.86 (* end of lemma zenon_L112_ *)
% 0.67/0.86 assert (zenon_L113_ : ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> (~(hskp24)) -> (~(hskp3)) -> (c2_1 (a22)) -> (c3_1 (a22)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (ndr1_0) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H1a7 zenon_H11a zenon_H119 zenon_H118 zenon_H17 zenon_H25 zenon_Hf9 zenon_Hfa zenon_H6d zenon_Ha zenon_H149 zenon_H14a zenon_H14b.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H117 | zenon_intro zenon_H1a8 ].
% 0.67/0.86 apply (zenon_L73_); trivial.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6f | zenon_intro zenon_H148 ].
% 0.67/0.86 apply (zenon_L112_); trivial.
% 0.67/0.86 apply (zenon_L86_); trivial.
% 0.67/0.86 (* end of lemma zenon_L113_ *)
% 0.67/0.86 assert (zenon_L114_ : ((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (c3_1 (a22)) -> (c2_1 (a22)) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H10c zenon_H2e zenon_Hf4 zenon_H5 zenon_Hf2 zenon_Hf5 zenon_H118 zenon_H119 zenon_H11a zenon_H6d zenon_H25 zenon_Hfa zenon_Hf9 zenon_H149 zenon_H14a zenon_H14b zenon_H1a7.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Ha. zenon_intro zenon_H10d.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Hdd. zenon_intro zenon_H10e.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ].
% 0.67/0.86 apply (zenon_L113_); trivial.
% 0.67/0.86 apply (zenon_L60_); trivial.
% 0.67/0.86 (* end of lemma zenon_L114_ *)
% 0.67/0.86 assert (zenon_L115_ : ((ndr1_0)/\((~(c0_1 (a13)))/\((~(c1_1 (a13)))/\(~(c3_1 (a13)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp0)\/(hskp1))) -> (~(hskp0)) -> (~(hskp1)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H1a9 zenon_H1aa zenon_H27 zenon_Hf2.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1ab.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H139. zenon_intro zenon_H1ac.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H13a. zenon_intro zenon_H13b.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H138 | zenon_intro zenon_H1ad ].
% 0.67/0.86 apply (zenon_L82_); trivial.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H28 | zenon_intro zenon_Hf3 ].
% 0.67/0.86 exact (zenon_H27 zenon_H28).
% 0.67/0.86 exact (zenon_Hf2 zenon_Hf3).
% 0.67/0.86 (* end of lemma zenon_L115_ *)
% 0.67/0.86 assert (zenon_L116_ : (forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41)))))) -> (ndr1_0) -> (~(c2_1 (a7))) -> (c0_1 (a7)) -> (c3_1 (a7)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H1ae zenon_Ha zenon_H1af zenon_H1b0 zenon_H1b1.
% 0.67/0.86 generalize (zenon_H1ae (a7)). zenon_intro zenon_H1b2.
% 0.67/0.86 apply (zenon_imply_s _ _ zenon_H1b2); [ zenon_intro zenon_H9 | zenon_intro zenon_H1b3 ].
% 0.67/0.86 exact (zenon_H9 zenon_Ha).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b4 ].
% 0.67/0.86 exact (zenon_H1af zenon_H1b5).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1b6 ].
% 0.67/0.86 exact (zenon_H1b7 zenon_H1b0).
% 0.67/0.86 exact (zenon_H1b6 zenon_H1b1).
% 0.67/0.86 (* end of lemma zenon_L116_ *)
% 0.67/0.86 assert (zenon_L117_ : ((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp11))) -> (c3_1 (a7)) -> (c0_1 (a7)) -> (~(c2_1 (a7))) -> (~(hskp11)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H10c zenon_H1b8 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H57.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Ha. zenon_intro zenon_H10d.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Hdd. zenon_intro zenon_H10e.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H64 | zenon_intro zenon_H1b9 ].
% 0.67/0.86 apply (zenon_L54_); trivial.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1ae | zenon_intro zenon_H58 ].
% 0.67/0.86 apply (zenon_L116_); trivial.
% 0.67/0.86 exact (zenon_H57 zenon_H58).
% 0.67/0.86 (* end of lemma zenon_L117_ *)
% 0.67/0.86 assert (zenon_L118_ : ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (c3_1 (a7)) -> (c0_1 (a7)) -> (~(c2_1 (a7))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp9)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H1ba zenon_H1b1 zenon_H1b0 zenon_H1af zenon_Ha zenon_H3d zenon_H144.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1bb ].
% 0.67/0.86 apply (zenon_L116_); trivial.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H3e | zenon_intro zenon_H145 ].
% 0.67/0.86 exact (zenon_H3d zenon_H3e).
% 0.67/0.86 exact (zenon_H144 zenon_H145).
% 0.67/0.86 (* end of lemma zenon_L118_ *)
% 0.67/0.86 assert (zenon_L119_ : (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (ndr1_0) -> (c0_1 (a7)) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4)))))) -> (~(c2_1 (a7))) -> (c3_1 (a7)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_Hc1 zenon_Ha zenon_H1b0 zenon_He9 zenon_H1af zenon_H1b1.
% 0.67/0.86 generalize (zenon_Hc1 (a7)). zenon_intro zenon_H1bc.
% 0.67/0.86 apply (zenon_imply_s _ _ zenon_H1bc); [ zenon_intro zenon_H9 | zenon_intro zenon_H1bd ].
% 0.67/0.86 exact (zenon_H9 zenon_Ha).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1be ].
% 0.67/0.86 exact (zenon_H1b7 zenon_H1b0).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1bf | zenon_intro zenon_H1b6 ].
% 0.67/0.86 generalize (zenon_He9 (a7)). zenon_intro zenon_H1c0.
% 0.67/0.86 apply (zenon_imply_s _ _ zenon_H1c0); [ zenon_intro zenon_H9 | zenon_intro zenon_H1c1 ].
% 0.67/0.86 exact (zenon_H9 zenon_Ha).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1c2 ].
% 0.67/0.86 exact (zenon_H1bf zenon_H1c3).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b6 ].
% 0.67/0.86 exact (zenon_H1af zenon_H1b5).
% 0.67/0.86 exact (zenon_H1b6 zenon_H1b1).
% 0.67/0.86 exact (zenon_H1b6 zenon_H1b1).
% 0.67/0.86 (* end of lemma zenon_L119_ *)
% 0.67/0.86 assert (zenon_L120_ : ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (c2_1 (a35)) -> (c1_1 (a35)) -> (c0_1 (a35)) -> (c3_1 (a7)) -> (~(c2_1 (a7))) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4)))))) -> (c0_1 (a7)) -> (ndr1_0) -> (~(hskp7)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_Hc5 zenon_H50 zenon_H4f zenon_H4e zenon_H1b1 zenon_H1af zenon_He9 zenon_H1b0 zenon_Ha zenon_Hb1.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H4d | zenon_intro zenon_Hc6 ].
% 0.67/0.86 apply (zenon_L21_); trivial.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hb2 ].
% 0.67/0.86 apply (zenon_L119_); trivial.
% 0.67/0.86 exact (zenon_Hb1 zenon_Hb2).
% 0.67/0.86 (* end of lemma zenon_L120_ *)
% 0.67/0.86 assert (zenon_L121_ : ((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp6)) -> (~(c3_1 (a19))) -> (~(c0_1 (a19))) -> (c2_1 (a19)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6))) -> (~(hskp7)) -> (c0_1 (a7)) -> (~(c2_1 (a7))) -> (c3_1 (a7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp2)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H59 zenon_Hf4 zenon_H98 zenon_H87 zenon_H86 zenon_H88 zenon_H9a zenon_Hb1 zenon_H1b0 zenon_H1af zenon_H1b1 zenon_Hc5 zenon_H5.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_Ha. zenon_intro zenon_H5b.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H4e. zenon_intro zenon_H5c.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4f. zenon_intro zenon_H50.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1b | zenon_intro zenon_Hf6 ].
% 0.67/0.86 apply (zenon_L38_); trivial.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He9 | zenon_intro zenon_H6 ].
% 0.67/0.86 apply (zenon_L120_); trivial.
% 0.67/0.86 exact (zenon_H5 zenon_H6).
% 0.67/0.86 (* end of lemma zenon_L121_ *)
% 0.67/0.86 assert (zenon_L122_ : ((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6))) -> (~(c2_1 (a7))) -> (c0_1 (a7)) -> (c3_1 (a7)) -> (~(hskp9)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H1c4 zenon_H5f zenon_Hf4 zenon_H5 zenon_Hb1 zenon_Hc5 zenon_H98 zenon_H9a zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H144 zenon_H1ba.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_Ha. zenon_intro zenon_H1c5.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H88. zenon_intro zenon_H1c6.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H86. zenon_intro zenon_H87.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3d | zenon_intro zenon_H59 ].
% 0.67/0.86 apply (zenon_L118_); trivial.
% 0.67/0.86 apply (zenon_L121_); trivial.
% 0.67/0.86 (* end of lemma zenon_L122_ *)
% 0.67/0.86 assert (zenon_L123_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> ((hskp9)\/((hskp2)\/(hskp17))) -> (~(hskp2)) -> (~(hskp9)) -> (~(c2_1 (a7))) -> (c0_1 (a7)) -> (c3_1 (a7)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H1c7 zenon_H5f zenon_Hf4 zenon_Hb1 zenon_Hc5 zenon_H98 zenon_H9a zenon_H1ba zenon_H146 zenon_H5 zenon_H144 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H1b8 zenon_H10b.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c4 ].
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hab | zenon_intro zenon_H10c ].
% 0.67/0.86 apply (zenon_L85_); trivial.
% 0.67/0.86 apply (zenon_L117_); trivial.
% 0.67/0.86 apply (zenon_L122_); trivial.
% 0.67/0.86 (* end of lemma zenon_L123_ *)
% 0.67/0.86 assert (zenon_L124_ : ((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c3_1 (a7)) -> (c0_1 (a7)) -> (~(c2_1 (a7))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_Hd6 zenon_H1c8 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H196 zenon_H197 zenon_H198.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha. zenon_intro zenon_Hd8.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcc. zenon_intro zenon_Hd9.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Hca | zenon_intro zenon_H1c9 ].
% 0.67/0.86 apply (zenon_L51_); trivial.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1ae | zenon_intro zenon_H195 ].
% 0.67/0.86 apply (zenon_L116_); trivial.
% 0.67/0.86 apply (zenon_L106_); trivial.
% 0.67/0.86 (* end of lemma zenon_L124_ *)
% 0.67/0.86 assert (zenon_L125_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c3_1 (a7)) -> (c0_1 (a7)) -> (~(c2_1 (a7))) -> (ndr1_0) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> (~(hskp10)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H103 zenon_H1c8 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_Ha zenon_H196 zenon_H197 zenon_H198 zenon_H79 zenon_H19f.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hd6 ].
% 0.67/0.86 apply (zenon_L107_); trivial.
% 0.67/0.86 apply (zenon_L124_); trivial.
% 0.67/0.86 (* end of lemma zenon_L125_ *)
% 0.67/0.86 assert (zenon_L126_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (c3_1 (a7)) -> (c0_1 (a7)) -> (~(c2_1 (a7))) -> (ndr1_0) -> (~(c0_1 (a22))) -> (c2_1 (a22)) -> (c3_1 (a22)) -> (~(hskp17)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp21)\/(hskp17))) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H103 zenon_H1c8 zenon_H198 zenon_H197 zenon_H196 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_Ha zenon_Hf8 zenon_Hf9 zenon_Hfa zenon_Hab zenon_Had.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hd6 ].
% 0.67/0.86 apply (zenon_L62_); trivial.
% 0.67/0.86 apply (zenon_L124_); trivial.
% 0.67/0.86 (* end of lemma zenon_L126_ *)
% 0.67/0.86 assert (zenon_L127_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp21)\/(hskp17))) -> (c3_1 (a18)) -> (~(c0_1 (a18))) -> (ndr1_0) -> (~(c2_1 (a7))) -> (c0_1 (a7)) -> (c3_1 (a7)) -> (~(hskp11)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H112 zenon_H196 zenon_H197 zenon_H198 zenon_H1c8 zenon_H103 zenon_Hd7 zenon_Had zenon_H9f zenon_H9d zenon_Ha zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H57 zenon_H1b8 zenon_H10b.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ].
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hab | zenon_intro zenon_H10c ].
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hd6 ].
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H64 | zenon_intro zenon_H1b9 ].
% 0.67/0.86 apply (zenon_L44_); trivial.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1ae | zenon_intro zenon_H58 ].
% 0.67/0.86 apply (zenon_L116_); trivial.
% 0.67/0.86 exact (zenon_H57 zenon_H58).
% 0.67/0.86 apply (zenon_L53_); trivial.
% 0.67/0.86 apply (zenon_L117_); trivial.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha. zenon_intro zenon_H110.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Hf9. zenon_intro zenon_H111.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_Hfa. zenon_intro zenon_Hf8.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hab | zenon_intro zenon_H10c ].
% 0.67/0.86 apply (zenon_L126_); trivial.
% 0.67/0.86 apply (zenon_L117_); trivial.
% 0.67/0.86 (* end of lemma zenon_L127_ *)
% 0.67/0.86 assert (zenon_L128_ : (~(hskp8)) -> (hskp8) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H1ca zenon_H1cb.
% 0.67/0.86 exact (zenon_H1ca zenon_H1cb).
% 0.67/0.86 (* end of lemma zenon_L128_ *)
% 0.67/0.86 assert (zenon_L129_ : ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (c3_1 (a7)) -> (~(c2_1 (a7))) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4)))))) -> (c0_1 (a7)) -> (ndr1_0) -> (~(hskp8)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H1cc zenon_H198 zenon_H197 zenon_H196 zenon_H1b1 zenon_H1af zenon_He9 zenon_H1b0 zenon_Ha zenon_H1ca.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H195 | zenon_intro zenon_H1cd ].
% 0.67/0.86 apply (zenon_L106_); trivial.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H1cb ].
% 0.67/0.86 apply (zenon_L119_); trivial.
% 0.67/0.86 exact (zenon_H1ca zenon_H1cb).
% 0.67/0.86 (* end of lemma zenon_L129_ *)
% 0.67/0.86 assert (zenon_L130_ : ((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp21)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp17))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> (~(c2_1 (a7))) -> (c0_1 (a7)) -> (c3_1 (a7)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H1a2 zenon_H1a1 zenon_H1c7 zenon_Hf4 zenon_H5 zenon_H1ca zenon_H1cc zenon_H98 zenon_H9a zenon_H10b zenon_H1b8 zenon_Had zenon_Hd7 zenon_H112 zenon_H19f zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H1c8 zenon_H103.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ].
% 0.67/0.86 apply (zenon_L125_); trivial.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c4 ].
% 0.67/0.86 apply (zenon_L127_); trivial.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_Ha. zenon_intro zenon_H1c5.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H88. zenon_intro zenon_H1c6.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H86. zenon_intro zenon_H87.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1b | zenon_intro zenon_Hf6 ].
% 0.67/0.86 apply (zenon_L38_); trivial.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He9 | zenon_intro zenon_H6 ].
% 0.67/0.86 apply (zenon_L129_); trivial.
% 0.67/0.86 exact (zenon_H5 zenon_H6).
% 0.67/0.86 (* end of lemma zenon_L130_ *)
% 0.67/0.86 assert (zenon_L131_ : (~(hskp5)) -> (hskp5) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H1ce zenon_H1cf.
% 0.67/0.86 exact (zenon_H1ce zenon_H1cf).
% 0.67/0.86 (* end of lemma zenon_L131_ *)
% 0.67/0.86 assert (zenon_L132_ : (~(hskp25)) -> (hskp25) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H1d0 zenon_H1d1.
% 0.67/0.86 exact (zenon_H1d0 zenon_H1d1).
% 0.67/0.86 (* end of lemma zenon_L132_ *)
% 0.67/0.86 assert (zenon_L133_ : ((hskp5)\/((hskp25)\/(hskp28))) -> (~(hskp5)) -> (~(hskp25)) -> (~(hskp28)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H1d2 zenon_H1ce zenon_H1d0 zenon_Haf.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H1cf | zenon_intro zenon_H1d3 ].
% 0.67/0.86 exact (zenon_H1ce zenon_H1cf).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H1d1 | zenon_intro zenon_Hb0 ].
% 0.67/0.86 exact (zenon_H1d0 zenon_H1d1).
% 0.67/0.86 exact (zenon_Haf zenon_Hb0).
% 0.67/0.86 (* end of lemma zenon_L133_ *)
% 0.67/0.86 assert (zenon_L134_ : ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> (c3_1 (a7)) -> (~(c2_1 (a7))) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4)))))) -> (c0_1 (a7)) -> (c3_1 (a25)) -> (c2_1 (a25)) -> (c1_1 (a25)) -> (ndr1_0) -> (~(hskp25)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H1d4 zenon_H1b1 zenon_H1af zenon_He9 zenon_H1b0 zenon_Hb5 zenon_Hb4 zenon_Hb3 zenon_Ha zenon_H1d0.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H1d5 ].
% 0.67/0.86 apply (zenon_L119_); trivial.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H63 | zenon_intro zenon_H1d1 ].
% 0.67/0.86 apply (zenon_L55_); trivial.
% 0.67/0.86 exact (zenon_H1d0 zenon_H1d1).
% 0.67/0.86 (* end of lemma zenon_L134_ *)
% 0.67/0.86 assert (zenon_L135_ : ((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp6)) -> (~(c3_1 (a19))) -> (~(c0_1 (a19))) -> (c2_1 (a19)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6))) -> (~(hskp25)) -> (c0_1 (a7)) -> (~(c2_1 (a7))) -> (c3_1 (a7)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> (~(hskp2)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_Hc7 zenon_Hf4 zenon_H98 zenon_H87 zenon_H86 zenon_H88 zenon_H9a zenon_H1d0 zenon_H1b0 zenon_H1af zenon_H1b1 zenon_H1d4 zenon_H5.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Ha. zenon_intro zenon_Hc8.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb3. zenon_intro zenon_Hc9.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1b | zenon_intro zenon_Hf6 ].
% 0.67/0.86 apply (zenon_L38_); trivial.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He9 | zenon_intro zenon_H6 ].
% 0.67/0.86 apply (zenon_L134_); trivial.
% 0.67/0.86 exact (zenon_H5 zenon_H6).
% 0.67/0.86 (* end of lemma zenon_L135_ *)
% 0.67/0.86 assert (zenon_L136_ : (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16))))) -> (ndr1_0) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H1d6 zenon_Ha zenon_H1d7 zenon_H1d8 zenon_H1d9.
% 0.67/0.86 generalize (zenon_H1d6 (a15)). zenon_intro zenon_H1da.
% 0.67/0.86 apply (zenon_imply_s _ _ zenon_H1da); [ zenon_intro zenon_H9 | zenon_intro zenon_H1db ].
% 0.67/0.86 exact (zenon_H9 zenon_Ha).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1dd | zenon_intro zenon_H1dc ].
% 0.67/0.86 exact (zenon_H1d7 zenon_H1dd).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1df | zenon_intro zenon_H1de ].
% 0.67/0.86 exact (zenon_H1d8 zenon_H1df).
% 0.67/0.86 exact (zenon_H1d9 zenon_H1de).
% 0.67/0.86 (* end of lemma zenon_L136_ *)
% 0.67/0.86 assert (zenon_L137_ : (forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))) -> (ndr1_0) -> (~(c1_1 (a70))) -> (~(c3_1 (a70))) -> (c0_1 (a70)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H1e0 zenon_Ha zenon_H1e1 zenon_H1e2 zenon_H1e3.
% 0.67/0.86 generalize (zenon_H1e0 (a70)). zenon_intro zenon_H1e4.
% 0.67/0.86 apply (zenon_imply_s _ _ zenon_H1e4); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e5 ].
% 0.67/0.86 exact (zenon_H9 zenon_Ha).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1e6 ].
% 0.67/0.86 exact (zenon_H1e1 zenon_H1e7).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H1e8 ].
% 0.67/0.86 exact (zenon_H1e2 zenon_H1e9).
% 0.67/0.86 exact (zenon_H1e8 zenon_H1e3).
% 0.67/0.86 (* end of lemma zenon_L137_ *)
% 0.67/0.86 assert (zenon_L138_ : ((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c0_1 (a19))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H1ea zenon_H1eb zenon_H88 zenon_H87 zenon_H86 zenon_H1d9 zenon_H1d8 zenon_H1d7.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1e3. zenon_intro zenon_H1ed.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1e1. zenon_intro zenon_H1e2.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H85 | zenon_intro zenon_H1ee ].
% 0.67/0.86 apply (zenon_L35_); trivial.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e0 ].
% 0.67/0.86 apply (zenon_L136_); trivial.
% 0.67/0.86 apply (zenon_L137_); trivial.
% 0.67/0.86 (* end of lemma zenon_L138_ *)
% 0.67/0.86 assert (zenon_L139_ : ((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((hskp5)\/((hskp25)\/(hskp28))) -> (~(hskp5)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp21)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp17))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> (~(c2_1 (a7))) -> (c0_1 (a7)) -> (c3_1 (a7)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H1a2 zenon_H1a1 zenon_H1c7 zenon_H1ef zenon_H1eb zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H1d2 zenon_H1ce zenon_H9a zenon_H98 zenon_H1d4 zenon_H5 zenon_Hf4 zenon_He6 zenon_H10b zenon_H1b8 zenon_Had zenon_Hd7 zenon_H112 zenon_H19f zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H1c8 zenon_H103.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ].
% 0.67/0.86 apply (zenon_L125_); trivial.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c4 ].
% 0.67/0.86 apply (zenon_L127_); trivial.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_Ha. zenon_intro zenon_H1c5.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H88. zenon_intro zenon_H1c6.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H86. zenon_intro zenon_H87.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1ea ].
% 0.67/0.86 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ].
% 0.67/0.86 apply (zenon_L133_); trivial.
% 0.67/0.86 apply (zenon_L135_); trivial.
% 0.67/0.86 apply (zenon_L138_); trivial.
% 0.67/0.86 (* end of lemma zenon_L139_ *)
% 0.67/0.86 assert (zenon_L140_ : ((~(hskp8))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((hskp5)\/((hskp25)\/(hskp28))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> ((hskp9)\/((hskp2)\/(hskp17))) -> (~(hskp2)) -> (~(c2_1 (a7))) -> (c0_1 (a7)) -> (c3_1 (a7)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp21)\/(hskp17))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16))))))) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H1f0 zenon_H1ef zenon_H1eb zenon_H1d2 zenon_H1ce zenon_H1d4 zenon_He6 zenon_H1c7 zenon_H5f zenon_Hf4 zenon_Hb1 zenon_Hc5 zenon_H98 zenon_H9a zenon_H1ba zenon_H146 zenon_H5 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H1b8 zenon_H10b zenon_H103 zenon_H1c8 zenon_H19f zenon_H112 zenon_Hd7 zenon_Had zenon_H1cc zenon_H1a1 zenon_H1f1.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ].
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.86 apply (zenon_L123_); trivial.
% 0.67/0.86 apply (zenon_L130_); trivial.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.86 apply (zenon_L123_); trivial.
% 0.67/0.86 apply (zenon_L139_); trivial.
% 0.67/0.86 (* end of lemma zenon_L140_ *)
% 0.67/0.86 assert (zenon_L141_ : ((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> (~(hskp9)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H59 zenon_H1f5 zenon_H11a zenon_H119 zenon_H118 zenon_H144.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_Ha. zenon_intro zenon_H5b.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H4e. zenon_intro zenon_H5c.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4f. zenon_intro zenon_H50.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H117 | zenon_intro zenon_H1f6 ].
% 0.67/0.86 apply (zenon_L73_); trivial.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H4d | zenon_intro zenon_H145 ].
% 0.67/0.86 apply (zenon_L21_); trivial.
% 0.67/0.86 exact (zenon_H144 zenon_H145).
% 0.67/0.86 (* end of lemma zenon_L141_ *)
% 0.67/0.86 assert (zenon_L142_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> (ndr1_0) -> (~(c2_1 (a7))) -> (c0_1 (a7)) -> (c3_1 (a7)) -> (~(hskp9)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H5f zenon_H1f5 zenon_H11a zenon_H119 zenon_H118 zenon_Ha zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H144 zenon_H1ba.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3d | zenon_intro zenon_H59 ].
% 0.67/0.86 apply (zenon_L118_); trivial.
% 0.67/0.86 apply (zenon_L141_); trivial.
% 0.67/0.86 (* end of lemma zenon_L142_ *)
% 0.67/0.86 assert (zenon_L143_ : (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8)))))) -> (ndr1_0) -> (~(c0_1 (a18))) -> (~(c1_1 (a18))) -> (c3_1 (a18)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H1f7 zenon_Ha zenon_H9d zenon_H194 zenon_H9f.
% 0.67/0.86 generalize (zenon_H1f7 (a18)). zenon_intro zenon_H1f8.
% 0.67/0.86 apply (zenon_imply_s _ _ zenon_H1f8); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f9 ].
% 0.67/0.86 exact (zenon_H9 zenon_Ha).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H1fa ].
% 0.67/0.86 exact (zenon_H9d zenon_Ha3).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H1fb | zenon_intro zenon_Ha4 ].
% 0.67/0.86 exact (zenon_H194 zenon_H1fb).
% 0.67/0.86 exact (zenon_Ha4 zenon_H9f).
% 0.67/0.86 (* end of lemma zenon_L143_ *)
% 0.67/0.86 assert (zenon_L144_ : (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))) -> (ndr1_0) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H1fc zenon_Ha zenon_H1fd zenon_H1fe zenon_H1ff.
% 0.67/0.86 generalize (zenon_H1fc (a11)). zenon_intro zenon_H200.
% 0.67/0.86 apply (zenon_imply_s _ _ zenon_H200); [ zenon_intro zenon_H9 | zenon_intro zenon_H201 ].
% 0.67/0.86 exact (zenon_H9 zenon_Ha).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H203 | zenon_intro zenon_H202 ].
% 0.67/0.86 exact (zenon_H1fd zenon_H203).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H205 | zenon_intro zenon_H204 ].
% 0.67/0.86 exact (zenon_H1fe zenon_H205).
% 0.67/0.86 exact (zenon_H204 zenon_H1ff).
% 0.67/0.86 (* end of lemma zenon_L144_ *)
% 0.67/0.86 assert (zenon_L145_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (~(c1_1 (a18))) -> (~(hskp17)) -> (~(hskp21)) -> (~(c0_1 (a18))) -> (c3_1 (a18)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp21)\/(hskp17))) -> (ndr1_0) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H206 zenon_H194 zenon_Hab zenon_Ha9 zenon_H9d zenon_H9f zenon_Had zenon_Ha zenon_H1fd zenon_H1fe zenon_H1ff.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H207 ].
% 0.67/0.86 apply (zenon_L143_); trivial.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H64 | zenon_intro zenon_H1fc ].
% 0.67/0.86 apply (zenon_L44_); trivial.
% 0.67/0.86 apply (zenon_L144_); trivial.
% 0.67/0.86 (* end of lemma zenon_L145_ *)
% 0.67/0.86 assert (zenon_L146_ : ((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (c3_1 (a18)) -> (~(c1_1 (a18))) -> (~(c0_1 (a18))) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H10c zenon_H206 zenon_H9f zenon_H194 zenon_H9d zenon_H1fd zenon_H1fe zenon_H1ff.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Ha. zenon_intro zenon_H10d.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Hdd. zenon_intro zenon_H10e.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H207 ].
% 0.67/0.86 apply (zenon_L143_); trivial.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H64 | zenon_intro zenon_H1fc ].
% 0.67/0.86 apply (zenon_L54_); trivial.
% 0.67/0.86 apply (zenon_L144_); trivial.
% 0.67/0.86 (* end of lemma zenon_L146_ *)
% 0.67/0.86 assert (zenon_L147_ : ((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp21)\/(hskp17))) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> (~(c2_1 (a7))) -> (c0_1 (a7)) -> (c3_1 (a7)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H1a2 zenon_H1a1 zenon_H112 zenon_Hd7 zenon_Had zenon_H1fd zenon_H1fe zenon_H1ff zenon_H206 zenon_H10b zenon_H19f zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H1c8 zenon_H103.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ].
% 0.67/0.86 apply (zenon_L125_); trivial.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ].
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hab | zenon_intro zenon_H10c ].
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hd6 ].
% 0.67/0.86 apply (zenon_L145_); trivial.
% 0.67/0.86 apply (zenon_L53_); trivial.
% 0.67/0.86 apply (zenon_L146_); trivial.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha. zenon_intro zenon_H110.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Hf9. zenon_intro zenon_H111.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_Hfa. zenon_intro zenon_Hf8.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hab | zenon_intro zenon_H10c ].
% 0.67/0.86 apply (zenon_L126_); trivial.
% 0.67/0.86 apply (zenon_L146_); trivial.
% 0.67/0.86 (* end of lemma zenon_L147_ *)
% 0.67/0.86 assert (zenon_L148_ : ((ndr1_0)/\((~(c0_1 (a13)))/\((~(c1_1 (a13)))/\(~(c3_1 (a13)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp2)\/(hskp1))) -> (~(hskp2)) -> (~(hskp1)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H1a9 zenon_H142 zenon_H5 zenon_Hf2.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1ab.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H139. zenon_intro zenon_H1ac.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H13a. zenon_intro zenon_H13b.
% 0.67/0.86 apply (zenon_L83_); trivial.
% 0.67/0.86 (* end of lemma zenon_L148_ *)
% 0.67/0.86 assert (zenon_L149_ : (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9)))))) -> (ndr1_0) -> (~(c0_1 (a3))) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H64 zenon_Ha zenon_H208 zenon_H209 zenon_H20a.
% 0.67/0.86 generalize (zenon_H64 (a3)). zenon_intro zenon_H20b.
% 0.67/0.86 apply (zenon_imply_s _ _ zenon_H20b); [ zenon_intro zenon_H9 | zenon_intro zenon_H20c ].
% 0.67/0.86 exact (zenon_H9 zenon_Ha).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H20e | zenon_intro zenon_H20d ].
% 0.67/0.86 exact (zenon_H208 zenon_H20e).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H210 | zenon_intro zenon_H20f ].
% 0.67/0.86 exact (zenon_H209 zenon_H210).
% 0.67/0.86 exact (zenon_H20f zenon_H20a).
% 0.67/0.86 (* end of lemma zenon_L149_ *)
% 0.67/0.86 assert (zenon_L150_ : (forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41)))))) -> (ndr1_0) -> (~(c2_1 (a3))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9)))))) -> (c3_1 (a3)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H1ae zenon_Ha zenon_H209 zenon_H64 zenon_H20a.
% 0.67/0.86 generalize (zenon_H1ae (a3)). zenon_intro zenon_H211.
% 0.67/0.86 apply (zenon_imply_s _ _ zenon_H211); [ zenon_intro zenon_H9 | zenon_intro zenon_H212 ].
% 0.67/0.86 exact (zenon_H9 zenon_Ha).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H210 | zenon_intro zenon_H213 ].
% 0.67/0.86 exact (zenon_H209 zenon_H210).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H208 | zenon_intro zenon_H20f ].
% 0.67/0.86 apply (zenon_L149_); trivial.
% 0.67/0.86 exact (zenon_H20f zenon_H20a).
% 0.67/0.86 (* end of lemma zenon_L150_ *)
% 0.67/0.86 assert (zenon_L151_ : ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (c3_1 (a3)) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9)))))) -> (~(c2_1 (a3))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp9)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H1ba zenon_H20a zenon_H64 zenon_H209 zenon_Ha zenon_H3d zenon_H144.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1bb ].
% 0.67/0.86 apply (zenon_L150_); trivial.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H3e | zenon_intro zenon_H145 ].
% 0.67/0.86 exact (zenon_H3d zenon_H3e).
% 0.67/0.86 exact (zenon_H144 zenon_H145).
% 0.67/0.86 (* end of lemma zenon_L151_ *)
% 0.67/0.86 assert (zenon_L152_ : (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (ndr1_0) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9)))))) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_Hc1 zenon_Ha zenon_H64 zenon_H209 zenon_H20a zenon_H214.
% 0.67/0.86 generalize (zenon_Hc1 (a3)). zenon_intro zenon_H215.
% 0.67/0.86 apply (zenon_imply_s _ _ zenon_H215); [ zenon_intro zenon_H9 | zenon_intro zenon_H216 ].
% 0.67/0.86 exact (zenon_H9 zenon_Ha).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H208 | zenon_intro zenon_H217 ].
% 0.67/0.86 apply (zenon_L149_); trivial.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H218 | zenon_intro zenon_H20f ].
% 0.67/0.86 exact (zenon_H218 zenon_H214).
% 0.67/0.86 exact (zenon_H20f zenon_H20a).
% 0.67/0.86 (* end of lemma zenon_L152_ *)
% 0.67/0.86 assert (zenon_L153_ : ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (c2_1 (a35)) -> (c1_1 (a35)) -> (c0_1 (a35)) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9)))))) -> (ndr1_0) -> (~(hskp7)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_Hc5 zenon_H50 zenon_H4f zenon_H4e zenon_H214 zenon_H20a zenon_H209 zenon_H64 zenon_Ha zenon_Hb1.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H4d | zenon_intro zenon_Hc6 ].
% 0.67/0.86 apply (zenon_L21_); trivial.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hb2 ].
% 0.67/0.86 apply (zenon_L152_); trivial.
% 0.67/0.86 exact (zenon_Hb1 zenon_Hb2).
% 0.67/0.86 (* end of lemma zenon_L153_ *)
% 0.67/0.86 assert (zenon_L154_ : ((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp28)) -> (~(hskp7)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H59 zenon_He7 zenon_H209 zenon_H20a zenon_H214 zenon_Hc5 zenon_Haf zenon_Hb1.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_Ha. zenon_intro zenon_H5b.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H4e. zenon_intro zenon_H5c.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4f. zenon_intro zenon_H50.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H64 | zenon_intro zenon_He8 ].
% 0.67/0.86 apply (zenon_L153_); trivial.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb2 ].
% 0.67/0.86 exact (zenon_Haf zenon_Hb0).
% 0.67/0.86 exact (zenon_Hb1 zenon_Hb2).
% 0.67/0.86 (* end of lemma zenon_L154_ *)
% 0.67/0.86 assert (zenon_L155_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> (c1_1 (a3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp7)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H5f zenon_H214 zenon_Hc5 zenon_H1ba zenon_H144 zenon_H20a zenon_H209 zenon_Ha zenon_Haf zenon_Hb1 zenon_He7.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3d | zenon_intro zenon_H59 ].
% 0.67/0.86 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H64 | zenon_intro zenon_He8 ].
% 0.67/0.86 apply (zenon_L151_); trivial.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb2 ].
% 0.67/0.86 exact (zenon_Haf zenon_Hb0).
% 0.67/0.86 exact (zenon_Hb1 zenon_Hb2).
% 0.67/0.86 apply (zenon_L154_); trivial.
% 0.67/0.86 (* end of lemma zenon_L155_ *)
% 0.67/0.86 assert (zenon_L156_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp24)) -> (~(hskp3)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> (ndr1_0) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (~(hskp9)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (c1_1 (a3)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> False).
% 0.67/0.86 do 0 intro. intros zenon_He6 zenon_H6d zenon_H17 zenon_H25 zenon_He7 zenon_Hb1 zenon_Ha zenon_H209 zenon_H20a zenon_H144 zenon_H1ba zenon_Hc5 zenon_H214 zenon_H5f.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ].
% 0.67/0.86 apply (zenon_L155_); trivial.
% 0.67/0.86 apply (zenon_L56_); trivial.
% 0.67/0.86 (* end of lemma zenon_L156_ *)
% 0.67/0.86 assert (zenon_L157_ : (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))) -> (ndr1_0) -> (~(c2_1 (a3))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_Hea zenon_Ha zenon_H209 zenon_H214 zenon_H20a.
% 0.67/0.86 generalize (zenon_Hea (a3)). zenon_intro zenon_H219.
% 0.67/0.86 apply (zenon_imply_s _ _ zenon_H219); [ zenon_intro zenon_H9 | zenon_intro zenon_H21a ].
% 0.67/0.86 exact (zenon_H9 zenon_Ha).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H210 | zenon_intro zenon_H217 ].
% 0.67/0.86 exact (zenon_H209 zenon_H210).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H218 | zenon_intro zenon_H20f ].
% 0.67/0.86 exact (zenon_H218 zenon_H214).
% 0.67/0.86 exact (zenon_H20f zenon_H20a).
% 0.67/0.86 (* end of lemma zenon_L157_ *)
% 0.67/0.86 assert (zenon_L158_ : ((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(c2_1 (a3))) -> (~(hskp1)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H29 zenon_Hf5 zenon_H20a zenon_H214 zenon_H209 zenon_Hf2.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_Ha. zenon_intro zenon_H2b.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1c. zenon_intro zenon_H1d.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1b | zenon_intro zenon_Hf7 ].
% 0.67/0.86 apply (zenon_L10_); trivial.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hea | zenon_intro zenon_Hf3 ].
% 0.67/0.86 apply (zenon_L157_); trivial.
% 0.67/0.86 exact (zenon_Hf2 zenon_Hf3).
% 0.67/0.86 (* end of lemma zenon_L158_ *)
% 0.67/0.86 assert (zenon_L159_ : (forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))) -> (ndr1_0) -> (~(c2_1 (a3))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9)))))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_Hca zenon_Ha zenon_H209 zenon_H64 zenon_H20a zenon_H214.
% 0.67/0.86 generalize (zenon_Hca (a3)). zenon_intro zenon_H21b.
% 0.67/0.86 apply (zenon_imply_s _ _ zenon_H21b); [ zenon_intro zenon_H9 | zenon_intro zenon_H21c ].
% 0.67/0.86 exact (zenon_H9 zenon_Ha).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H210 | zenon_intro zenon_H21d ].
% 0.67/0.86 exact (zenon_H209 zenon_H210).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H208 | zenon_intro zenon_H218 ].
% 0.67/0.86 apply (zenon_L149_); trivial.
% 0.67/0.86 exact (zenon_H218 zenon_H214).
% 0.67/0.86 (* end of lemma zenon_L159_ *)
% 0.67/0.86 assert (zenon_L160_ : ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9)))))) -> (~(c2_1 (a3))) -> (ndr1_0) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H1c8 zenon_H214 zenon_H20a zenon_H64 zenon_H209 zenon_Ha zenon_H196 zenon_H197 zenon_H198.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Hca | zenon_intro zenon_H1c9 ].
% 0.67/0.86 apply (zenon_L159_); trivial.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1ae | zenon_intro zenon_H195 ].
% 0.67/0.86 apply (zenon_L150_); trivial.
% 0.67/0.86 apply (zenon_L106_); trivial.
% 0.67/0.86 (* end of lemma zenon_L160_ *)
% 0.67/0.86 assert (zenon_L161_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (ndr1_0) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (~(hskp28)) -> (~(hskp7)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_He7 zenon_H198 zenon_H197 zenon_H196 zenon_Ha zenon_H209 zenon_H20a zenon_H214 zenon_H1c8 zenon_Haf zenon_Hb1.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H64 | zenon_intro zenon_He8 ].
% 0.67/0.86 apply (zenon_L160_); trivial.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb2 ].
% 0.67/0.86 exact (zenon_Haf zenon_Hb0).
% 0.67/0.86 exact (zenon_Hb1 zenon_Hb2).
% 0.67/0.86 (* end of lemma zenon_L161_ *)
% 0.67/0.86 assert (zenon_L162_ : ((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (~(hskp3)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H1a2 zenon_H2e zenon_Hf5 zenon_Hf2 zenon_He7 zenon_Hb1 zenon_H209 zenon_H20a zenon_H214 zenon_H1c8 zenon_H25 zenon_H6d zenon_He6.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ].
% 0.67/0.86 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ].
% 0.67/0.86 apply (zenon_L161_); trivial.
% 0.67/0.86 apply (zenon_L56_); trivial.
% 0.67/0.86 apply (zenon_L158_); trivial.
% 0.67/0.86 (* end of lemma zenon_L162_ *)
% 0.67/0.86 assert (zenon_L163_ : ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> (ndr1_0) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (c1_1 (a3)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H1f1 zenon_H1c8 zenon_He6 zenon_H6d zenon_H25 zenon_He7 zenon_Hb1 zenon_Ha zenon_H209 zenon_H20a zenon_H1ba zenon_Hc5 zenon_H214 zenon_H5f zenon_Hf2 zenon_Hf5 zenon_H2e.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ].
% 0.67/0.86 apply (zenon_L156_); trivial.
% 0.67/0.86 apply (zenon_L158_); trivial.
% 0.67/0.86 apply (zenon_L162_); trivial.
% 0.67/0.86 (* end of lemma zenon_L163_ *)
% 0.67/0.86 assert (zenon_L164_ : ((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (~(c2_1 (a3))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H10f zenon_H2e zenon_H6d zenon_H25 zenon_H209 zenon_H214 zenon_H20a zenon_Hf2 zenon_Hf5.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha. zenon_intro zenon_H110.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Hf9. zenon_intro zenon_H111.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_Hfa. zenon_intro zenon_Hf8.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ].
% 0.67/0.86 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1b | zenon_intro zenon_Hf7 ].
% 0.67/0.86 apply (zenon_L67_); trivial.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hea | zenon_intro zenon_Hf3 ].
% 0.67/0.86 apply (zenon_L157_); trivial.
% 0.67/0.86 exact (zenon_Hf2 zenon_Hf3).
% 0.67/0.86 apply (zenon_L158_); trivial.
% 0.67/0.86 (* end of lemma zenon_L164_ *)
% 0.67/0.86 assert (zenon_L165_ : ((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(c2_1 (a3))) -> (~(hskp1)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H1c4 zenon_Hf5 zenon_H98 zenon_H9a zenon_H20a zenon_H214 zenon_H209 zenon_Hf2.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_Ha. zenon_intro zenon_H1c5.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H88. zenon_intro zenon_H1c6.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H86. zenon_intro zenon_H87.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1b | zenon_intro zenon_Hf7 ].
% 0.67/0.86 apply (zenon_L38_); trivial.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hea | zenon_intro zenon_Hf3 ].
% 0.67/0.86 apply (zenon_L157_); trivial.
% 0.67/0.86 exact (zenon_Hf2 zenon_Hf3).
% 0.67/0.86 (* end of lemma zenon_L165_ *)
% 0.67/0.86 assert (zenon_L166_ : ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9)))))) -> (~(c2_1 (a3))) -> (c3_1 (a7)) -> (c0_1 (a7)) -> (~(c2_1 (a7))) -> (ndr1_0) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H1c8 zenon_H214 zenon_H20a zenon_H64 zenon_H209 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_Ha zenon_H196 zenon_H197 zenon_H198.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Hca | zenon_intro zenon_H1c9 ].
% 0.67/0.86 apply (zenon_L159_); trivial.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1ae | zenon_intro zenon_H195 ].
% 0.67/0.86 apply (zenon_L116_); trivial.
% 0.67/0.86 apply (zenon_L106_); trivial.
% 0.67/0.86 (* end of lemma zenon_L166_ *)
% 0.67/0.86 assert (zenon_L167_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp11))) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c3_1 (a7)) -> (c0_1 (a7)) -> (~(c2_1 (a7))) -> (ndr1_0) -> (~(hskp11)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H1b8 zenon_H198 zenon_H197 zenon_H196 zenon_H209 zenon_H20a zenon_H214 zenon_H1c8 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_Ha zenon_H57.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H64 | zenon_intro zenon_H1b9 ].
% 0.67/0.86 apply (zenon_L166_); trivial.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1ae | zenon_intro zenon_H58 ].
% 0.67/0.86 apply (zenon_L116_); trivial.
% 0.67/0.86 exact (zenon_H57 zenon_H58).
% 0.67/0.86 (* end of lemma zenon_L167_ *)
% 0.67/0.86 assert (zenon_L168_ : ((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c3_1 (a7)) -> (c0_1 (a7)) -> (~(c2_1 (a7))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp11))) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H1a2 zenon_H1c7 zenon_Hf5 zenon_Hf2 zenon_H98 zenon_H9a zenon_H1c8 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H214 zenon_H20a zenon_H209 zenon_H1b8.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c4 ].
% 0.67/0.86 apply (zenon_L167_); trivial.
% 0.67/0.86 apply (zenon_L165_); trivial.
% 0.67/0.86 (* end of lemma zenon_L168_ *)
% 0.67/0.86 assert (zenon_L169_ : ((~(hskp7))\/((ndr1_0)/\((c1_1 (a14))/\((~(c0_1 (a14)))/\(~(c2_1 (a14))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (c3_1 (a7)) -> (c0_1 (a7)) -> (~(c2_1 (a7))) -> (ndr1_0) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16))))))) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H21e zenon_H1f5 zenon_H1c7 zenon_Hf5 zenon_Hf2 zenon_H98 zenon_H9a zenon_H1ba zenon_H1b1 zenon_H1b0 zenon_H1af zenon_Ha zenon_Hc5 zenon_H214 zenon_H20a zenon_H209 zenon_H1b8 zenon_H5f zenon_H1c8 zenon_H1f1.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ].
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c4 ].
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3d | zenon_intro zenon_H59 ].
% 0.67/0.86 apply (zenon_L118_); trivial.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_Ha. zenon_intro zenon_H5b.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H4e. zenon_intro zenon_H5c.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4f. zenon_intro zenon_H50.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H64 | zenon_intro zenon_H1b9 ].
% 0.67/0.86 apply (zenon_L153_); trivial.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1ae | zenon_intro zenon_H58 ].
% 0.67/0.86 apply (zenon_L116_); trivial.
% 0.67/0.86 exact (zenon_H57 zenon_H58).
% 0.67/0.86 apply (zenon_L165_); trivial.
% 0.67/0.86 apply (zenon_L168_); trivial.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.86 apply (zenon_L142_); trivial.
% 0.67/0.86 apply (zenon_L168_); trivial.
% 0.67/0.86 (* end of lemma zenon_L169_ *)
% 0.67/0.86 assert (zenon_L170_ : (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13))))) -> (ndr1_0) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H222 zenon_Ha zenon_H223 zenon_H224 zenon_H225.
% 0.67/0.86 generalize (zenon_H222 (a2)). zenon_intro zenon_H226.
% 0.67/0.86 apply (zenon_imply_s _ _ zenon_H226); [ zenon_intro zenon_H9 | zenon_intro zenon_H227 ].
% 0.67/0.86 exact (zenon_H9 zenon_Ha).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H229 | zenon_intro zenon_H228 ].
% 0.67/0.86 exact (zenon_H223 zenon_H229).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H22b | zenon_intro zenon_H22a ].
% 0.67/0.86 exact (zenon_H224 zenon_H22b).
% 0.67/0.86 exact (zenon_H225 zenon_H22a).
% 0.67/0.86 (* end of lemma zenon_L170_ *)
% 0.67/0.86 assert (zenon_L171_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((hskp7)\/(hskp8))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (ndr1_0) -> (~(hskp7)) -> (~(hskp8)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H22c zenon_H225 zenon_H224 zenon_H223 zenon_Ha zenon_Hb1 zenon_H1ca.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H222 | zenon_intro zenon_H22d ].
% 0.67/0.86 apply (zenon_L170_); trivial.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H1cb ].
% 0.67/0.86 exact (zenon_Hb1 zenon_Hb2).
% 0.67/0.86 exact (zenon_H1ca zenon_H1cb).
% 0.67/0.86 (* end of lemma zenon_L171_ *)
% 0.67/0.86 assert (zenon_L172_ : ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> (~(hskp21)) -> (~(hskp20)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H22e zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_Ha zenon_Ha9 zenon_H39.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H22f ].
% 0.67/0.86 apply (zenon_L136_); trivial.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_Haa | zenon_intro zenon_H3a ].
% 0.67/0.86 exact (zenon_Ha9 zenon_Haa).
% 0.67/0.86 exact (zenon_H39 zenon_H3a).
% 0.67/0.86 (* end of lemma zenon_L172_ *)
% 0.67/0.86 assert (zenon_L173_ : ((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (~(hskp16)) -> (~(hskp14)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_Hd6 zenon_H230 zenon_H1 zenon_Hd4.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha. zenon_intro zenon_Hd8.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcc. zenon_intro zenon_Hd9.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_Hca | zenon_intro zenon_H231 ].
% 0.67/0.86 apply (zenon_L51_); trivial.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H2 | zenon_intro zenon_Hd5 ].
% 0.67/0.86 exact (zenon_H1 zenon_H2).
% 0.67/0.86 exact (zenon_Hd4 zenon_Hd5).
% 0.67/0.86 (* end of lemma zenon_L173_ *)
% 0.67/0.86 assert (zenon_L174_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (~(hskp14)) -> (~(hskp16)) -> (ndr1_0) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(hskp20)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H103 zenon_H230 zenon_Hd4 zenon_H1 zenon_Ha zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H39 zenon_H22e.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hd6 ].
% 0.67/0.86 apply (zenon_L172_); trivial.
% 0.67/0.86 apply (zenon_L173_); trivial.
% 0.67/0.86 (* end of lemma zenon_L174_ *)
% 0.67/0.86 assert (zenon_L175_ : ((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H7d zenon_H232 zenon_H225 zenon_H224 zenon_H223 zenon_H1d9 zenon_H1d8 zenon_H1d7.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_Ha. zenon_intro zenon_H7e.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H71. zenon_intro zenon_H7f.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H72. zenon_intro zenon_H70.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H222 | zenon_intro zenon_H233 ].
% 0.67/0.86 apply (zenon_L170_); trivial.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H6f ].
% 0.67/0.86 apply (zenon_L136_); trivial.
% 0.67/0.86 apply (zenon_L28_); trivial.
% 0.67/0.86 (* end of lemma zenon_L175_ *)
% 0.67/0.86 assert (zenon_L176_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (~(hskp14)) -> (~(hskp16)) -> (ndr1_0) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H81 zenon_H232 zenon_H225 zenon_H224 zenon_H223 zenon_H103 zenon_H230 zenon_Hd4 zenon_H1 zenon_Ha zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H22e zenon_H41 zenon_H57 zenon_H5a zenon_H5f zenon_H62.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ].
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H39 | zenon_intro zenon_H5e ].
% 0.67/0.86 apply (zenon_L174_); trivial.
% 0.67/0.86 apply (zenon_L24_); trivial.
% 0.67/0.86 apply (zenon_L175_); trivial.
% 0.67/0.86 (* end of lemma zenon_L176_ *)
% 0.67/0.86 assert (zenon_L177_ : (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (ndr1_0) -> (~(c1_1 (a27))) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4)))))) -> (c3_1 (a27)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H6f zenon_Ha zenon_Hc zenon_He9 zenon_He.
% 0.67/0.86 generalize (zenon_H6f (a27)). zenon_intro zenon_H234.
% 0.67/0.86 apply (zenon_imply_s _ _ zenon_H234); [ zenon_intro zenon_H9 | zenon_intro zenon_H235 ].
% 0.67/0.86 exact (zenon_H9 zenon_Ha).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H12 | zenon_intro zenon_H236 ].
% 0.67/0.86 exact (zenon_Hc zenon_H12).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H237 | zenon_intro zenon_H13 ].
% 0.67/0.86 generalize (zenon_He9 (a27)). zenon_intro zenon_H238.
% 0.67/0.86 apply (zenon_imply_s _ _ zenon_H238); [ zenon_intro zenon_H9 | zenon_intro zenon_H239 ].
% 0.67/0.86 exact (zenon_H9 zenon_Ha).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H12 | zenon_intro zenon_H23a ].
% 0.67/0.86 exact (zenon_Hc zenon_H12).
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H23b | zenon_intro zenon_H13 ].
% 0.67/0.86 exact (zenon_H237 zenon_H23b).
% 0.67/0.86 exact (zenon_H13 zenon_He).
% 0.67/0.86 exact (zenon_H13 zenon_He).
% 0.67/0.86 (* end of lemma zenon_L177_ *)
% 0.67/0.86 assert (zenon_L178_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> (~(c1_1 (a27))) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4)))))) -> (c3_1 (a27)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H232 zenon_H225 zenon_H224 zenon_H223 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_Ha zenon_Hc zenon_He9 zenon_He.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H222 | zenon_intro zenon_H233 ].
% 0.67/0.86 apply (zenon_L170_); trivial.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H6f ].
% 0.67/0.86 apply (zenon_L136_); trivial.
% 0.67/0.86 apply (zenon_L177_); trivial.
% 0.67/0.86 (* end of lemma zenon_L178_ *)
% 0.67/0.86 assert (zenon_L179_ : ((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (c3_1 (a27)) -> (~(c1_1 (a27))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp2)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H29 zenon_Hf4 zenon_He zenon_Hc zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H223 zenon_H224 zenon_H225 zenon_H232 zenon_H5.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_Ha. zenon_intro zenon_H2b.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1c. zenon_intro zenon_H1d.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1b | zenon_intro zenon_Hf6 ].
% 0.67/0.86 apply (zenon_L10_); trivial.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He9 | zenon_intro zenon_H6 ].
% 0.67/0.86 apply (zenon_L178_); trivial.
% 0.67/0.86 exact (zenon_H5 zenon_H6).
% 0.67/0.86 (* end of lemma zenon_L179_ *)
% 0.67/0.86 assert (zenon_L180_ : ((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp13)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H80 zenon_H2e zenon_Hf4 zenon_H5 zenon_H223 zenon_H224 zenon_H225 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H232 zenon_H15 zenon_H19.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H82.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Hd. zenon_intro zenon_H83.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ].
% 0.67/0.86 apply (zenon_L9_); trivial.
% 0.67/0.86 apply (zenon_L179_); trivial.
% 0.67/0.86 (* end of lemma zenon_L180_ *)
% 0.67/0.86 assert (zenon_L181_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp13)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> (~(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H84 zenon_H2e zenon_Hf4 zenon_H5 zenon_H15 zenon_H19 zenon_H62 zenon_H5f zenon_H5a zenon_H57 zenon_H41 zenon_H22e zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_Ha zenon_Hd4 zenon_H230 zenon_H103 zenon_H223 zenon_H224 zenon_H225 zenon_H232 zenon_H81.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ].
% 0.67/0.86 apply (zenon_L176_); trivial.
% 0.67/0.86 apply (zenon_L180_); trivial.
% 0.67/0.86 (* end of lemma zenon_L181_ *)
% 0.67/0.86 assert (zenon_L182_ : ((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (~(hskp0)) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H10f zenon_H23c zenon_H225 zenon_H224 zenon_H223 zenon_H27.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha. zenon_intro zenon_H110.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Hf9. zenon_intro zenon_H111.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_Hfa. zenon_intro zenon_Hf8.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H222 | zenon_intro zenon_H23d ].
% 0.67/0.86 apply (zenon_L170_); trivial.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H9c | zenon_intro zenon_H28 ].
% 0.67/0.86 apply (zenon_L61_); trivial.
% 0.67/0.86 exact (zenon_H27 zenon_H28).
% 0.67/0.86 (* end of lemma zenon_L182_ *)
% 0.67/0.86 assert (zenon_L183_ : ((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> (c2_1 (a21)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> False).
% 0.67/0.86 do 0 intro. intros zenon_H80 zenon_H81 zenon_H232 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H225 zenon_H224 zenon_H223 zenon_H3b zenon_H32 zenon_H31 zenon_H30 zenon_H41 zenon_H57 zenon_H5a zenon_H5f zenon_H62.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H82.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Hd. zenon_intro zenon_H83.
% 0.67/0.86 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 0.67/0.86 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ].
% 0.67/0.86 apply (zenon_L25_); trivial.
% 0.67/0.86 apply (zenon_L175_); trivial.
% 0.67/0.86 (* end of lemma zenon_L183_ *)
% 0.67/0.86 assert (zenon_L184_ : ((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H23e zenon_H112 zenon_H23c zenon_H27 zenon_H81 zenon_H232 zenon_H225 zenon_H224 zenon_H223 zenon_H103 zenon_H230 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H22e zenon_H41 zenon_H57 zenon_H5a zenon_H5f zenon_H62 zenon_H3b zenon_H84.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H23f.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H31. zenon_intro zenon_H240.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H32. zenon_intro zenon_H30.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ].
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ].
% 0.67/0.87 apply (zenon_L176_); trivial.
% 0.67/0.87 apply (zenon_L183_); trivial.
% 0.67/0.87 apply (zenon_L182_); trivial.
% 0.67/0.87 (* end of lemma zenon_L184_ *)
% 0.67/0.87 assert (zenon_L185_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> (~(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> (~(hskp0)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H241 zenon_H3b zenon_H84 zenon_H2e zenon_Hf4 zenon_H5 zenon_H19 zenon_H62 zenon_H5f zenon_H5a zenon_H57 zenon_H41 zenon_H22e zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_Ha zenon_H230 zenon_H103 zenon_H223 zenon_H224 zenon_H225 zenon_H232 zenon_H81 zenon_H27 zenon_H23c zenon_H112.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ].
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ].
% 0.67/0.87 apply (zenon_L181_); trivial.
% 0.67/0.87 apply (zenon_L182_); trivial.
% 0.67/0.87 apply (zenon_L184_); trivial.
% 0.67/0.87 (* end of lemma zenon_L185_ *)
% 0.67/0.87 assert (zenon_L186_ : ((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> (~(hskp0)) -> (~(hskp3)) -> (~(hskp13)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H80 zenon_H2e zenon_H2a zenon_H27 zenon_H25 zenon_H15 zenon_H19.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H82.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Hd. zenon_intro zenon_H83.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 0.67/0.87 apply (zenon_L14_); trivial.
% 0.67/0.87 (* end of lemma zenon_L186_ *)
% 0.67/0.87 assert (zenon_L187_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> (~(hskp0)) -> (~(hskp3)) -> (~(hskp13)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> (~(hskp4)) -> (~(hskp2)) -> ((hskp16)\/((hskp4)\/(hskp2))) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H84 zenon_H2e zenon_H2a zenon_H27 zenon_H25 zenon_H15 zenon_H19 zenon_H3 zenon_H5 zenon_H7.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ].
% 0.67/0.87 apply (zenon_L4_); trivial.
% 0.67/0.87 apply (zenon_L186_); trivial.
% 0.67/0.87 (* end of lemma zenon_L187_ *)
% 0.67/0.87 assert (zenon_L188_ : (forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41)))))) -> (ndr1_0) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (~(c1_1 (a27))) -> (c3_1 (a27)) -> (c0_1 (a27)) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H1ae zenon_Ha zenon_H6f zenon_Hc zenon_He zenon_Hd.
% 0.67/0.87 generalize (zenon_H1ae (a27)). zenon_intro zenon_H242.
% 0.67/0.87 apply (zenon_imply_s _ _ zenon_H242); [ zenon_intro zenon_H9 | zenon_intro zenon_H243 ].
% 0.67/0.87 exact (zenon_H9 zenon_Ha).
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H23b | zenon_intro zenon_H11 ].
% 0.67/0.87 generalize (zenon_H6f (a27)). zenon_intro zenon_H234.
% 0.67/0.87 apply (zenon_imply_s _ _ zenon_H234); [ zenon_intro zenon_H9 | zenon_intro zenon_H235 ].
% 0.67/0.87 exact (zenon_H9 zenon_Ha).
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H12 | zenon_intro zenon_H236 ].
% 0.67/0.87 exact (zenon_Hc zenon_H12).
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H237 | zenon_intro zenon_H13 ].
% 0.67/0.87 exact (zenon_H237 zenon_H23b).
% 0.67/0.87 exact (zenon_H13 zenon_He).
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H11); [ zenon_intro zenon_H14 | zenon_intro zenon_H13 ].
% 0.67/0.87 exact (zenon_H14 zenon_Hd).
% 0.67/0.87 exact (zenon_H13 zenon_He).
% 0.67/0.87 (* end of lemma zenon_L188_ *)
% 0.67/0.87 assert (zenon_L189_ : (forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))) -> (ndr1_0) -> (~(c3_1 (a21))) -> (forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))) -> (c0_1 (a21)) -> (c2_1 (a21)) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H8f zenon_Ha zenon_H30 zenon_H1e0 zenon_H31 zenon_H32.
% 0.67/0.87 generalize (zenon_H8f (a21)). zenon_intro zenon_H244.
% 0.67/0.87 apply (zenon_imply_s _ _ zenon_H244); [ zenon_intro zenon_H9 | zenon_intro zenon_H245 ].
% 0.67/0.87 exact (zenon_H9 zenon_Ha).
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H36 | zenon_intro zenon_H246 ].
% 0.67/0.87 exact (zenon_H30 zenon_H36).
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H247 | zenon_intro zenon_H37 ].
% 0.67/0.87 generalize (zenon_H1e0 (a21)). zenon_intro zenon_H248.
% 0.67/0.87 apply (zenon_imply_s _ _ zenon_H248); [ zenon_intro zenon_H9 | zenon_intro zenon_H249 ].
% 0.67/0.87 exact (zenon_H9 zenon_Ha).
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H24b | zenon_intro zenon_H24a ].
% 0.67/0.87 exact (zenon_H247 zenon_H24b).
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H36 | zenon_intro zenon_H38 ].
% 0.67/0.87 exact (zenon_H30 zenon_H36).
% 0.67/0.87 exact (zenon_H38 zenon_H31).
% 0.67/0.87 exact (zenon_H37 zenon_H32).
% 0.67/0.87 (* end of lemma zenon_L189_ *)
% 0.67/0.87 assert (zenon_L190_ : ((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c0_1 (a19))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (c2_1 (a21)) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H80 zenon_H232 zenon_H225 zenon_H224 zenon_H223 zenon_H1eb zenon_H88 zenon_H87 zenon_H86 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H24c zenon_H30 zenon_H31 zenon_H32.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H82.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Hd. zenon_intro zenon_H83.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H222 | zenon_intro zenon_H233 ].
% 0.67/0.87 apply (zenon_L170_); trivial.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H6f ].
% 0.67/0.87 apply (zenon_L136_); trivial.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H85 | zenon_intro zenon_H1ee ].
% 0.67/0.87 apply (zenon_L35_); trivial.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e0 ].
% 0.67/0.87 apply (zenon_L136_); trivial.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_He9 | zenon_intro zenon_H24d ].
% 0.67/0.87 apply (zenon_L177_); trivial.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1ae | zenon_intro zenon_H8f ].
% 0.67/0.87 apply (zenon_L188_); trivial.
% 0.67/0.87 apply (zenon_L189_); trivial.
% 0.67/0.87 (* end of lemma zenon_L190_ *)
% 0.67/0.87 assert (zenon_L191_ : ((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (~(hskp4)) -> (~(hskp2)) -> ((hskp16)\/((hskp4)\/(hskp2))) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H23e zenon_H84 zenon_H232 zenon_H86 zenon_H87 zenon_H88 zenon_H24c zenon_H1eb zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H225 zenon_H224 zenon_H223 zenon_H3 zenon_H5 zenon_H7.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H23f.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H31. zenon_intro zenon_H240.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H32. zenon_intro zenon_H30.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ].
% 0.67/0.87 apply (zenon_L4_); trivial.
% 0.67/0.87 apply (zenon_L190_); trivial.
% 0.67/0.87 (* end of lemma zenon_L191_ *)
% 0.67/0.87 assert (zenon_L192_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((hskp16)\/((hskp4)\/(hskp2))) -> (~(hskp4)) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H1f2 zenon_H1c7 zenon_H24c zenon_H1eb zenon_H7 zenon_H3 zenon_H25 zenon_H2a zenon_H112 zenon_H23c zenon_H27 zenon_H81 zenon_H232 zenon_H225 zenon_H224 zenon_H223 zenon_H103 zenon_H230 zenon_H22e zenon_H41 zenon_H5a zenon_H5f zenon_H62 zenon_H19 zenon_H5 zenon_Hf4 zenon_H2e zenon_H84 zenon_H3b zenon_H241.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c4 ].
% 0.67/0.87 apply (zenon_L185_); trivial.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_Ha. zenon_intro zenon_H1c5.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H88. zenon_intro zenon_H1c6.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H86. zenon_intro zenon_H87.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ].
% 0.67/0.87 apply (zenon_L187_); trivial.
% 0.67/0.87 apply (zenon_L191_); trivial.
% 0.67/0.87 (* end of lemma zenon_L192_ *)
% 0.67/0.87 assert (zenon_L193_ : ((~(hskp8))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((hskp16)\/((hskp4)\/(hskp2))) -> (~(hskp4)) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> (ndr1_0) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> (~(hskp7)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((hskp7)\/(hskp8))) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H1f0 zenon_H1c7 zenon_H24c zenon_H1eb zenon_H7 zenon_H3 zenon_H25 zenon_H2a zenon_H112 zenon_H23c zenon_H27 zenon_H81 zenon_H232 zenon_H103 zenon_H230 zenon_H22e zenon_H41 zenon_H5a zenon_H5f zenon_H62 zenon_H19 zenon_H5 zenon_Hf4 zenon_H2e zenon_H84 zenon_H3b zenon_H241 zenon_Ha zenon_H223 zenon_H224 zenon_H225 zenon_Hb1 zenon_H22c.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ].
% 0.67/0.87 apply (zenon_L171_); trivial.
% 0.67/0.87 apply (zenon_L192_); trivial.
% 0.67/0.87 (* end of lemma zenon_L193_ *)
% 0.67/0.87 assert (zenon_L194_ : ((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> (~(hskp19)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H5e zenon_H5f zenon_H1f5 zenon_H144 zenon_H11a zenon_H119 zenon_H118 zenon_H3f zenon_H41.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_Ha. zenon_intro zenon_H60.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H43. zenon_intro zenon_H61.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H42. zenon_intro zenon_H44.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3d | zenon_intro zenon_H59 ].
% 0.67/0.87 apply (zenon_L20_); trivial.
% 0.67/0.87 apply (zenon_L141_); trivial.
% 0.67/0.87 (* end of lemma zenon_L194_ *)
% 0.67/0.87 assert (zenon_L195_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> (~(hskp19)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (ndr1_0) -> (~(c1_1 (a27))) -> (c0_1 (a27)) -> (c3_1 (a27)) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (c2_1 (a21)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H62 zenon_H5f zenon_H1f5 zenon_H144 zenon_H11a zenon_H119 zenon_H118 zenon_H3f zenon_H41 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H30 zenon_H31 zenon_H32 zenon_H3b.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H39 | zenon_intro zenon_H5e ].
% 0.67/0.87 apply (zenon_L17_); trivial.
% 0.67/0.87 apply (zenon_L194_); trivial.
% 0.67/0.87 (* end of lemma zenon_L195_ *)
% 0.67/0.87 assert (zenon_L196_ : ((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (~(hskp10)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> (c2_1 (a21)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> (~(hskp9)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H80 zenon_H81 zenon_H2e zenon_H2a zenon_H27 zenon_H6d zenon_H25 zenon_H79 zenon_H7b zenon_H3b zenon_H32 zenon_H31 zenon_H30 zenon_H41 zenon_H118 zenon_H119 zenon_H11a zenon_H144 zenon_H1f5 zenon_H5f zenon_H62.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H82.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Hd. zenon_intro zenon_H83.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ].
% 0.67/0.87 apply (zenon_L195_); trivial.
% 0.67/0.87 apply (zenon_L32_); trivial.
% 0.67/0.87 (* end of lemma zenon_L196_ *)
% 0.67/0.87 assert (zenon_L197_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp10)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> (~(hskp9)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((hskp16)\/((hskp4)\/(hskp2))) -> (~(hskp2)) -> (~(hskp4)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> (~(hskp3)) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H241 zenon_H81 zenon_H6d zenon_H79 zenon_H7b zenon_H3b zenon_H41 zenon_H118 zenon_H119 zenon_H11a zenon_H144 zenon_H1f5 zenon_H5f zenon_H62 zenon_H7 zenon_H5 zenon_H3 zenon_H19 zenon_H25 zenon_H27 zenon_H2a zenon_H2e zenon_H84.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ].
% 0.67/0.87 apply (zenon_L187_); trivial.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H23f.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H31. zenon_intro zenon_H240.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H32. zenon_intro zenon_H30.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ].
% 0.67/0.87 apply (zenon_L4_); trivial.
% 0.67/0.87 apply (zenon_L196_); trivial.
% 0.67/0.87 (* end of lemma zenon_L197_ *)
% 0.67/0.87 assert (zenon_L198_ : (~(hskp27)) -> (hskp27) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H24e zenon_H24f.
% 0.67/0.87 exact (zenon_H24e zenon_H24f).
% 0.67/0.87 (* end of lemma zenon_L198_ *)
% 0.67/0.87 assert (zenon_L199_ : ((hskp27)\/((hskp13)\/(hskp8))) -> (~(hskp27)) -> (~(hskp13)) -> (~(hskp8)) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H250 zenon_H24e zenon_H15 zenon_H1ca.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H24f | zenon_intro zenon_H251 ].
% 0.67/0.87 exact (zenon_H24e zenon_H24f).
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H16 | zenon_intro zenon_H1cb ].
% 0.67/0.87 exact (zenon_H15 zenon_H16).
% 0.67/0.87 exact (zenon_H1ca zenon_H1cb).
% 0.67/0.87 (* end of lemma zenon_L199_ *)
% 0.67/0.87 assert (zenon_L200_ : (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (ndr1_0) -> (c0_1 (a12)) -> (c1_1 (a12)) -> (c3_1 (a12)) -> False).
% 0.67/0.87 do 0 intro. intros zenon_Hc1 zenon_Ha zenon_H252 zenon_H253 zenon_H254.
% 0.67/0.87 generalize (zenon_Hc1 (a12)). zenon_intro zenon_H255.
% 0.67/0.87 apply (zenon_imply_s _ _ zenon_H255); [ zenon_intro zenon_H9 | zenon_intro zenon_H256 ].
% 0.67/0.87 exact (zenon_H9 zenon_Ha).
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H258 | zenon_intro zenon_H257 ].
% 0.67/0.87 exact (zenon_H258 zenon_H252).
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H25a | zenon_intro zenon_H259 ].
% 0.67/0.87 exact (zenon_H25a zenon_H253).
% 0.67/0.87 exact (zenon_H259 zenon_H254).
% 0.67/0.87 (* end of lemma zenon_L200_ *)
% 0.67/0.87 assert (zenon_L201_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (c3_1 (a18)) -> (~(c1_1 (a18))) -> (~(c0_1 (a18))) -> (~(hskp4)) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H25b zenon_H25c zenon_H9f zenon_H194 zenon_H9d zenon_H3.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_Ha. zenon_intro zenon_H25d.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H252. zenon_intro zenon_H25e.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H253. zenon_intro zenon_H254.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H25f ].
% 0.67/0.87 apply (zenon_L143_); trivial.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H4 ].
% 0.67/0.87 apply (zenon_L200_); trivial.
% 0.67/0.87 exact (zenon_H3 zenon_H4).
% 0.67/0.87 (* end of lemma zenon_L201_ *)
% 0.67/0.87 assert (zenon_L202_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a18)) -> (~(c1_1 (a18))) -> (~(c0_1 (a18))) -> (~(hskp13)) -> (~(hskp8)) -> ((hskp27)\/((hskp13)\/(hskp8))) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H260 zenon_H25c zenon_H3 zenon_H9f zenon_H194 zenon_H9d zenon_H15 zenon_H1ca zenon_H250.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H24e | zenon_intro zenon_H25b ].
% 0.67/0.87 apply (zenon_L199_); trivial.
% 0.67/0.87 apply (zenon_L201_); trivial.
% 0.67/0.87 (* end of lemma zenon_L202_ *)
% 0.67/0.87 assert (zenon_L203_ : (forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32)))))) -> (ndr1_0) -> (c0_1 (a21)) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (~(c3_1 (a21))) -> (c2_1 (a21)) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H4d zenon_Ha zenon_H31 zenon_H17d zenon_H30 zenon_H32.
% 0.67/0.87 generalize (zenon_H4d (a21)). zenon_intro zenon_H261.
% 0.67/0.87 apply (zenon_imply_s _ _ zenon_H261); [ zenon_intro zenon_H9 | zenon_intro zenon_H262 ].
% 0.67/0.87 exact (zenon_H9 zenon_Ha).
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H38 | zenon_intro zenon_H246 ].
% 0.67/0.87 exact (zenon_H38 zenon_H31).
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H247 | zenon_intro zenon_H37 ].
% 0.67/0.87 generalize (zenon_H17d (a21)). zenon_intro zenon_H263.
% 0.67/0.87 apply (zenon_imply_s _ _ zenon_H263); [ zenon_intro zenon_H9 | zenon_intro zenon_H264 ].
% 0.67/0.87 exact (zenon_H9 zenon_Ha).
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H24b | zenon_intro zenon_H265 ].
% 0.67/0.87 exact (zenon_H247 zenon_H24b).
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ].
% 0.67/0.87 exact (zenon_H30 zenon_H36).
% 0.67/0.87 exact (zenon_H37 zenon_H32).
% 0.67/0.87 exact (zenon_H37 zenon_H32).
% 0.67/0.87 (* end of lemma zenon_L203_ *)
% 0.67/0.87 assert (zenon_L204_ : ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> (c2_1 (a21)) -> (~(c3_1 (a21))) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (c0_1 (a21)) -> (ndr1_0) -> (~(hskp9)) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H1f5 zenon_H11a zenon_H119 zenon_H118 zenon_H32 zenon_H30 zenon_H17d zenon_H31 zenon_Ha zenon_H144.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H117 | zenon_intro zenon_H1f6 ].
% 0.67/0.87 apply (zenon_L73_); trivial.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H4d | zenon_intro zenon_H145 ].
% 0.67/0.87 apply (zenon_L203_); trivial.
% 0.67/0.87 exact (zenon_H144 zenon_H145).
% 0.67/0.87 (* end of lemma zenon_L204_ *)
% 0.67/0.87 assert (zenon_L205_ : ((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp5))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (~(hskp9)) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> (~(hskp5)) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H23e zenon_H266 zenon_H225 zenon_H224 zenon_H223 zenon_H144 zenon_H118 zenon_H119 zenon_H11a zenon_H1f5 zenon_H1ce.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H23f.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H31. zenon_intro zenon_H240.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H32. zenon_intro zenon_H30.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H222 | zenon_intro zenon_H267 ].
% 0.67/0.87 apply (zenon_L170_); trivial.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H17d | zenon_intro zenon_H1cf ].
% 0.67/0.87 apply (zenon_L204_); trivial.
% 0.67/0.87 exact (zenon_H1ce zenon_H1cf).
% 0.67/0.87 (* end of lemma zenon_L205_ *)
% 0.67/0.87 assert (zenon_L206_ : ((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> (~(hskp9)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((hskp27)\/((hskp13)\/(hskp8))) -> (~(hskp8)) -> (~(hskp4)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H191 zenon_H241 zenon_H266 zenon_H1ce zenon_H118 zenon_H119 zenon_H11a zenon_H144 zenon_H1f5 zenon_H225 zenon_H224 zenon_H223 zenon_H250 zenon_H1ca zenon_H3 zenon_H25c zenon_H260.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ].
% 0.67/0.87 apply (zenon_L202_); trivial.
% 0.67/0.87 apply (zenon_L205_); trivial.
% 0.67/0.87 (* end of lemma zenon_L206_ *)
% 0.67/0.87 assert (zenon_L207_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (c1_1 (a38)) -> (c0_1 (a38)) -> (~(c2_1 (a38))) -> (ndr1_0) -> (~(hskp27)) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H268 zenon_H225 zenon_H224 zenon_H223 zenon_Hcd zenon_Hcc zenon_Hcb zenon_Ha zenon_H24e.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H222 | zenon_intro zenon_H269 ].
% 0.67/0.87 apply (zenon_L170_); trivial.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_Hca | zenon_intro zenon_H24f ].
% 0.67/0.87 apply (zenon_L51_); trivial.
% 0.67/0.87 exact (zenon_H24e zenon_H24f).
% 0.67/0.87 (* end of lemma zenon_L207_ *)
% 0.67/0.87 assert (zenon_L208_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(hskp8)) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H25b zenon_H1cc zenon_H198 zenon_H197 zenon_H196 zenon_H1ca.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_Ha. zenon_intro zenon_H25d.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H252. zenon_intro zenon_H25e.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H253. zenon_intro zenon_H254.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H195 | zenon_intro zenon_H1cd ].
% 0.67/0.87 apply (zenon_L106_); trivial.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H1cb ].
% 0.67/0.87 apply (zenon_L200_); trivial.
% 0.67/0.87 exact (zenon_H1ca zenon_H1cb).
% 0.67/0.87 (* end of lemma zenon_L208_ *)
% 0.67/0.87 assert (zenon_L209_ : ((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> False).
% 0.67/0.87 do 0 intro. intros zenon_Hd6 zenon_H260 zenon_H1cc zenon_H1ca zenon_H198 zenon_H197 zenon_H196 zenon_H223 zenon_H224 zenon_H225 zenon_H268.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha. zenon_intro zenon_Hd8.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcc. zenon_intro zenon_Hd9.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H24e | zenon_intro zenon_H25b ].
% 0.67/0.87 apply (zenon_L207_); trivial.
% 0.67/0.87 apply (zenon_L208_); trivial.
% 0.67/0.87 (* end of lemma zenon_L209_ *)
% 0.67/0.87 assert (zenon_L210_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (ndr1_0) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> (~(hskp10)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H103 zenon_H260 zenon_H1cc zenon_H1ca zenon_H223 zenon_H224 zenon_H225 zenon_H268 zenon_Ha zenon_H196 zenon_H197 zenon_H198 zenon_H79 zenon_H19f.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hd6 ].
% 0.67/0.87 apply (zenon_L107_); trivial.
% 0.67/0.87 apply (zenon_L209_); trivial.
% 0.67/0.87 (* end of lemma zenon_L210_ *)
% 0.67/0.87 assert (zenon_L211_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> (~(hskp24)) -> (~(hskp3)) -> (c1_1 (a37)) -> (~(c0_1 (a37))) -> (c3_1 (a37)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (ndr1_0) -> (~(hskp12)) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H26a zenon_H17 zenon_H25 zenon_H43 zenon_H44 zenon_H42 zenon_H6d zenon_H198 zenon_H197 zenon_H196 zenon_Ha zenon_H154.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H64 | zenon_intro zenon_H26b ].
% 0.67/0.87 apply (zenon_L27_); trivial.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H195 | zenon_intro zenon_H155 ].
% 0.67/0.87 apply (zenon_L106_); trivial.
% 0.67/0.87 exact (zenon_H154 zenon_H155).
% 0.67/0.87 (* end of lemma zenon_L211_ *)
% 0.67/0.87 assert (zenon_L212_ : (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4)))))) -> (ndr1_0) -> (~(c1_1 (a18))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (~(c0_1 (a18))) -> (c3_1 (a18)) -> False).
% 0.67/0.87 do 0 intro. intros zenon_He9 zenon_Ha zenon_H194 zenon_H9c zenon_H9d zenon_H9f.
% 0.67/0.87 generalize (zenon_He9 (a18)). zenon_intro zenon_H26c.
% 0.67/0.87 apply (zenon_imply_s _ _ zenon_H26c); [ zenon_intro zenon_H9 | zenon_intro zenon_H26d ].
% 0.67/0.87 exact (zenon_H9 zenon_Ha).
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H1fb | zenon_intro zenon_Ha8 ].
% 0.67/0.87 exact (zenon_H194 zenon_H1fb).
% 0.67/0.87 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H9e | zenon_intro zenon_Ha4 ].
% 0.67/0.87 apply (zenon_L40_); trivial.
% 0.67/0.87 exact (zenon_Ha4 zenon_H9f).
% 0.67/0.87 (* end of lemma zenon_L212_ *)
% 0.67/0.87 assert (zenon_L213_ : (forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61)))))) -> (ndr1_0) -> (c0_1 (a27)) -> (c2_1 (a27)) -> (c3_1 (a27)) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H178 zenon_Ha zenon_Hd zenon_H23b zenon_He.
% 0.67/0.87 generalize (zenon_H178 (a27)). zenon_intro zenon_H26e.
% 0.67/0.87 apply (zenon_imply_s _ _ zenon_H26e); [ zenon_intro zenon_H9 | zenon_intro zenon_H26f ].
% 0.67/0.87 exact (zenon_H9 zenon_Ha).
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H14 | zenon_intro zenon_H236 ].
% 0.67/0.87 exact (zenon_H14 zenon_Hd).
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H237 | zenon_intro zenon_H13 ].
% 0.67/0.87 exact (zenon_H237 zenon_H23b).
% 0.67/0.87 exact (zenon_H13 zenon_He).
% 0.67/0.87 (* end of lemma zenon_L213_ *)
% 0.67/0.87 assert (zenon_L214_ : (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4)))))) -> (ndr1_0) -> (~(c1_1 (a27))) -> (forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61)))))) -> (c0_1 (a27)) -> (c3_1 (a27)) -> False).
% 0.67/0.87 do 0 intro. intros zenon_He9 zenon_Ha zenon_Hc zenon_H178 zenon_Hd zenon_He.
% 0.67/0.87 generalize (zenon_He9 (a27)). zenon_intro zenon_H238.
% 0.67/0.87 apply (zenon_imply_s _ _ zenon_H238); [ zenon_intro zenon_H9 | zenon_intro zenon_H239 ].
% 0.67/0.87 exact (zenon_H9 zenon_Ha).
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H12 | zenon_intro zenon_H23a ].
% 0.67/0.87 exact (zenon_Hc zenon_H12).
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H23b | zenon_intro zenon_H13 ].
% 0.67/0.87 apply (zenon_L213_); trivial.
% 0.67/0.87 exact (zenon_H13 zenon_He).
% 0.67/0.87 (* end of lemma zenon_L214_ *)
% 0.67/0.87 assert (zenon_L215_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a18)) -> (~(c0_1 (a18))) -> (~(c1_1 (a18))) -> (c3_1 (a27)) -> (c0_1 (a27)) -> (~(c1_1 (a27))) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4)))))) -> (ndr1_0) -> (c1_1 (a37)) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9)))))) -> (~(c0_1 (a37))) -> (c3_1 (a37)) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H17b zenon_H9f zenon_H9d zenon_H194 zenon_He zenon_Hd zenon_Hc zenon_He9 zenon_Ha zenon_H43 zenon_H64 zenon_H44 zenon_H42.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H9c | zenon_intro zenon_H17c ].
% 0.67/0.87 apply (zenon_L212_); trivial.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H178 | zenon_intro zenon_H63 ].
% 0.67/0.87 apply (zenon_L214_); trivial.
% 0.67/0.87 apply (zenon_L26_); trivial.
% 0.67/0.87 (* end of lemma zenon_L215_ *)
% 0.67/0.87 assert (zenon_L216_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> (c3_1 (a37)) -> (~(c0_1 (a37))) -> (c1_1 (a37)) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4)))))) -> (~(c1_1 (a27))) -> (c0_1 (a27)) -> (c3_1 (a27)) -> (~(c1_1 (a18))) -> (~(c0_1 (a18))) -> (c3_1 (a18)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (ndr1_0) -> (~(hskp12)) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H26a zenon_H42 zenon_H44 zenon_H43 zenon_He9 zenon_Hc zenon_Hd zenon_He zenon_H194 zenon_H9d zenon_H9f zenon_H17b zenon_H198 zenon_H197 zenon_H196 zenon_Ha zenon_H154.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H64 | zenon_intro zenon_H26b ].
% 0.67/0.87 apply (zenon_L215_); trivial.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H195 | zenon_intro zenon_H155 ].
% 0.67/0.87 apply (zenon_L106_); trivial.
% 0.67/0.87 exact (zenon_H154 zenon_H155).
% 0.67/0.87 (* end of lemma zenon_L216_ *)
% 0.67/0.87 assert (zenon_L217_ : ((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp12)) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a18)) -> (~(c0_1 (a18))) -> (~(c1_1 (a18))) -> (c3_1 (a27)) -> (c0_1 (a27)) -> (~(c1_1 (a27))) -> (c1_1 (a37)) -> (~(c0_1 (a37))) -> (c3_1 (a37)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> (~(hskp2)) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H29 zenon_Hf4 zenon_H154 zenon_H196 zenon_H197 zenon_H198 zenon_H17b zenon_H9f zenon_H9d zenon_H194 zenon_He zenon_Hd zenon_Hc zenon_H43 zenon_H44 zenon_H42 zenon_H26a zenon_H5.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_Ha. zenon_intro zenon_H2b.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1c. zenon_intro zenon_H1d.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1b | zenon_intro zenon_Hf6 ].
% 0.67/0.87 apply (zenon_L10_); trivial.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He9 | zenon_intro zenon_H6 ].
% 0.67/0.87 apply (zenon_L216_); trivial.
% 0.67/0.87 exact (zenon_H5 zenon_H6).
% 0.67/0.87 (* end of lemma zenon_L217_ *)
% 0.67/0.87 assert (zenon_L218_ : ((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a27)) -> (c0_1 (a27)) -> (~(c1_1 (a27))) -> (c3_1 (a18)) -> (~(c0_1 (a18))) -> (~(c1_1 (a18))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> (~(hskp12)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H5e zenon_H2e zenon_Hf4 zenon_H5 zenon_H17b zenon_He zenon_Hd zenon_Hc zenon_H9f zenon_H9d zenon_H194 zenon_H6d zenon_H25 zenon_H196 zenon_H197 zenon_H198 zenon_H154 zenon_H26a.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_Ha. zenon_intro zenon_H60.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H43. zenon_intro zenon_H61.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H42. zenon_intro zenon_H44.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ].
% 0.67/0.87 apply (zenon_L211_); trivial.
% 0.67/0.87 apply (zenon_L217_); trivial.
% 0.67/0.87 (* end of lemma zenon_L218_ *)
% 0.67/0.87 assert (zenon_L219_ : ((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp5))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (~(hskp5)) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H189 zenon_H266 zenon_H225 zenon_H224 zenon_H223 zenon_H1ce.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_Ha. zenon_intro zenon_H18a.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H180. zenon_intro zenon_H18b.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17e. zenon_intro zenon_H17f.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H222 | zenon_intro zenon_H267 ].
% 0.67/0.87 apply (zenon_L170_); trivial.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H17d | zenon_intro zenon_H1cf ].
% 0.67/0.87 apply (zenon_L101_); trivial.
% 0.67/0.87 exact (zenon_H1ce zenon_H1cf).
% 0.67/0.87 (* end of lemma zenon_L219_ *)
% 0.67/0.87 assert (zenon_L220_ : ((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp27)\/((hskp13)\/(hskp8))) -> ((hskp16)\/((hskp4)\/(hskp2))) -> (~(hskp2)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> (~(hskp3)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H1a2 zenon_H1a1 zenon_H18c zenon_H266 zenon_H1ce zenon_H25c zenon_H3 zenon_H250 zenon_H7 zenon_H5 zenon_H3b zenon_H26a zenon_H25 zenon_H6d zenon_H17b zenon_Hf4 zenon_H2e zenon_H62 zenon_H84 zenon_H241 zenon_H19f zenon_H268 zenon_H225 zenon_H224 zenon_H223 zenon_H1ca zenon_H1cc zenon_H260 zenon_H103.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ].
% 0.67/0.87 apply (zenon_L210_); trivial.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H154 | zenon_intro zenon_H189 ].
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ].
% 0.67/0.87 apply (zenon_L202_); trivial.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H23f.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H31. zenon_intro zenon_H240.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H32. zenon_intro zenon_H30.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ].
% 0.67/0.87 apply (zenon_L4_); trivial.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H82.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Hd. zenon_intro zenon_H83.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H39 | zenon_intro zenon_H5e ].
% 0.67/0.87 apply (zenon_L17_); trivial.
% 0.67/0.87 apply (zenon_L218_); trivial.
% 0.67/0.87 apply (zenon_L219_); trivial.
% 0.67/0.87 (* end of lemma zenon_L220_ *)
% 0.67/0.87 assert (zenon_L221_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (c3_1 (a18)) -> (~(c1_1 (a18))) -> (~(c0_1 (a18))) -> (~(hskp24)) -> (~(hskp3)) -> (c1_1 (a37)) -> (~(c0_1 (a37))) -> (c3_1 (a37)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (ndr1_0) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H206 zenon_H9f zenon_H194 zenon_H9d zenon_H17 zenon_H25 zenon_H43 zenon_H44 zenon_H42 zenon_H6d zenon_Ha zenon_H1fd zenon_H1fe zenon_H1ff.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H207 ].
% 0.67/0.87 apply (zenon_L143_); trivial.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H64 | zenon_intro zenon_H1fc ].
% 0.67/0.87 apply (zenon_L27_); trivial.
% 0.67/0.87 apply (zenon_L144_); trivial.
% 0.67/0.87 (* end of lemma zenon_L221_ *)
% 0.67/0.87 assert (zenon_L222_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (c3_1 (a37)) -> (~(c0_1 (a37))) -> (c1_1 (a37)) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4)))))) -> (~(c1_1 (a27))) -> (c0_1 (a27)) -> (c3_1 (a27)) -> (~(c1_1 (a18))) -> (~(c0_1 (a18))) -> (c3_1 (a18)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (ndr1_0) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H206 zenon_H42 zenon_H44 zenon_H43 zenon_He9 zenon_Hc zenon_Hd zenon_He zenon_H194 zenon_H9d zenon_H9f zenon_H17b zenon_Ha zenon_H1fd zenon_H1fe zenon_H1ff.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H207 ].
% 0.67/0.87 apply (zenon_L143_); trivial.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H64 | zenon_intro zenon_H1fc ].
% 0.67/0.87 apply (zenon_L215_); trivial.
% 0.67/0.87 apply (zenon_L144_); trivial.
% 0.67/0.87 (* end of lemma zenon_L222_ *)
% 0.67/0.87 assert (zenon_L223_ : ((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (c0_1 (a11)) -> (~(c2_1 (a11))) -> (~(c1_1 (a11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a18)) -> (~(c0_1 (a18))) -> (~(c1_1 (a18))) -> (c3_1 (a27)) -> (c0_1 (a27)) -> (~(c1_1 (a27))) -> (c1_1 (a37)) -> (~(c0_1 (a37))) -> (c3_1 (a37)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (~(hskp2)) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H29 zenon_Hf4 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H17b zenon_H9f zenon_H9d zenon_H194 zenon_He zenon_Hd zenon_Hc zenon_H43 zenon_H44 zenon_H42 zenon_H206 zenon_H5.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_Ha. zenon_intro zenon_H2b.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1c. zenon_intro zenon_H1d.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1b | zenon_intro zenon_Hf6 ].
% 0.67/0.87 apply (zenon_L10_); trivial.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He9 | zenon_intro zenon_H6 ].
% 0.67/0.87 apply (zenon_L222_); trivial.
% 0.67/0.87 exact (zenon_H5 zenon_H6).
% 0.67/0.87 (* end of lemma zenon_L223_ *)
% 0.67/0.87 assert (zenon_L224_ : ((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a27)) -> (c0_1 (a27)) -> (~(c1_1 (a27))) -> (~(c0_1 (a18))) -> (~(c1_1 (a18))) -> (c3_1 (a18)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H5e zenon_H2e zenon_Hf4 zenon_H5 zenon_H17b zenon_He zenon_Hd zenon_Hc zenon_H9d zenon_H194 zenon_H9f zenon_H6d zenon_H25 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H206.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_Ha. zenon_intro zenon_H60.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H43. zenon_intro zenon_H61.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H42. zenon_intro zenon_H44.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ].
% 0.67/0.87 apply (zenon_L221_); trivial.
% 0.67/0.87 apply (zenon_L223_); trivial.
% 0.67/0.87 (* end of lemma zenon_L224_ *)
% 0.67/0.87 assert (zenon_L225_ : ((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(c0_1 (a18))) -> (~(c1_1 (a18))) -> (c3_1 (a18)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (c2_1 (a21)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H80 zenon_H62 zenon_H2e zenon_Hf4 zenon_H5 zenon_H17b zenon_H9d zenon_H194 zenon_H9f zenon_H6d zenon_H25 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H206 zenon_H30 zenon_H31 zenon_H32 zenon_H3b.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H82.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Hd. zenon_intro zenon_H83.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H39 | zenon_intro zenon_H5e ].
% 0.67/0.87 apply (zenon_L17_); trivial.
% 0.67/0.87 apply (zenon_L224_); trivial.
% 0.67/0.87 (* end of lemma zenon_L225_ *)
% 0.67/0.87 assert (zenon_L226_ : ((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(c0_1 (a18))) -> (~(c1_1 (a18))) -> (c3_1 (a18)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> (~(hskp4)) -> (~(hskp2)) -> ((hskp16)\/((hskp4)\/(hskp2))) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H23e zenon_H84 zenon_H62 zenon_H2e zenon_Hf4 zenon_H17b zenon_H9d zenon_H194 zenon_H9f zenon_H6d zenon_H25 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H206 zenon_H3b zenon_H3 zenon_H5 zenon_H7.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H23f.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H31. zenon_intro zenon_H240.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H32. zenon_intro zenon_H30.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ].
% 0.67/0.87 apply (zenon_L4_); trivial.
% 0.67/0.87 apply (zenon_L225_); trivial.
% 0.67/0.87 (* end of lemma zenon_L226_ *)
% 0.67/0.87 assert (zenon_L227_ : ((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> (~(hskp2)) -> ((hskp16)\/((hskp4)\/(hskp2))) -> ((hskp27)\/((hskp13)\/(hskp8))) -> (~(hskp8)) -> (~(hskp4)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H191 zenon_H241 zenon_H84 zenon_H62 zenon_H2e zenon_Hf4 zenon_H17b zenon_H6d zenon_H25 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H206 zenon_H3b zenon_H5 zenon_H7 zenon_H250 zenon_H1ca zenon_H3 zenon_H25c zenon_H260.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ].
% 0.67/0.87 apply (zenon_L202_); trivial.
% 0.67/0.87 apply (zenon_L226_); trivial.
% 0.67/0.87 (* end of lemma zenon_L227_ *)
% 0.67/0.87 assert (zenon_L228_ : ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> ((hskp27)\/((hskp13)\/(hskp8))) -> (~(hskp8)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> (~(hskp0)) -> (~(hskp3)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> (~(hskp4)) -> (~(hskp2)) -> ((hskp16)\/((hskp4)\/(hskp2))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H1a1 zenon_Hf4 zenon_H17b zenon_H1fd zenon_H1fe zenon_H1ff zenon_H206 zenon_H250 zenon_H1ca zenon_H25c zenon_H260 zenon_H84 zenon_H2e zenon_H2a zenon_H27 zenon_H25 zenon_H19 zenon_H3 zenon_H5 zenon_H7 zenon_H62 zenon_H5f zenon_H1f5 zenon_H144 zenon_H11a zenon_H119 zenon_H118 zenon_H41 zenon_H3b zenon_H7b zenon_H6d zenon_H81 zenon_H241.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ].
% 0.67/0.87 apply (zenon_L197_); trivial.
% 0.67/0.87 apply (zenon_L227_); trivial.
% 0.67/0.87 (* end of lemma zenon_L228_ *)
% 0.67/0.87 assert (zenon_L229_ : ((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> (~(hskp2)) -> ((hskp16)\/((hskp4)\/(hskp2))) -> ((hskp27)\/((hskp13)\/(hskp8))) -> (~(hskp4)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H1a2 zenon_H1a1 zenon_H241 zenon_H84 zenon_H62 zenon_H2e zenon_Hf4 zenon_H17b zenon_H6d zenon_H25 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H206 zenon_H3b zenon_H5 zenon_H7 zenon_H250 zenon_H3 zenon_H25c zenon_H19f zenon_H268 zenon_H225 zenon_H224 zenon_H223 zenon_H1ca zenon_H1cc zenon_H260 zenon_H103.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ].
% 0.67/0.87 apply (zenon_L210_); trivial.
% 0.67/0.87 apply (zenon_L227_); trivial.
% 0.67/0.87 (* end of lemma zenon_L229_ *)
% 0.67/0.87 assert (zenon_L230_ : (forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c1_1 W)))))) -> (ndr1_0) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c1_1 (a9)) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H270 zenon_Ha zenon_H149 zenon_H14a zenon_H271.
% 0.67/0.87 generalize (zenon_H270 (a9)). zenon_intro zenon_H272.
% 0.67/0.87 apply (zenon_imply_s _ _ zenon_H272); [ zenon_intro zenon_H9 | zenon_intro zenon_H273 ].
% 0.67/0.87 exact (zenon_H9 zenon_Ha).
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H14f | zenon_intro zenon_H274 ].
% 0.67/0.87 exact (zenon_H149 zenon_H14f).
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H151 | zenon_intro zenon_H275 ].
% 0.67/0.87 exact (zenon_H14a zenon_H151).
% 0.67/0.87 exact (zenon_H275 zenon_H271).
% 0.67/0.87 (* end of lemma zenon_L230_ *)
% 0.67/0.87 assert (zenon_L231_ : (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16))))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c1_1 W)))))) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H1d6 zenon_Ha zenon_H270 zenon_H149 zenon_H14a.
% 0.67/0.87 generalize (zenon_H1d6 (a9)). zenon_intro zenon_H276.
% 0.67/0.87 apply (zenon_imply_s _ _ zenon_H276); [ zenon_intro zenon_H9 | zenon_intro zenon_H277 ].
% 0.67/0.87 exact (zenon_H9 zenon_Ha).
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H271 | zenon_intro zenon_H278 ].
% 0.67/0.87 apply (zenon_L230_); trivial.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H14f | zenon_intro zenon_H151 ].
% 0.67/0.87 exact (zenon_H149 zenon_H14f).
% 0.67/0.87 exact (zenon_H14a zenon_H151).
% 0.67/0.87 (* end of lemma zenon_L231_ *)
% 0.67/0.87 assert (zenon_L232_ : ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> (forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c1_1 W)))))) -> (ndr1_0) -> (~(hskp21)) -> (~(hskp20)) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H22e zenon_H14a zenon_H149 zenon_H270 zenon_Ha zenon_Ha9 zenon_H39.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H22f ].
% 0.67/0.87 apply (zenon_L231_); trivial.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_Haa | zenon_intro zenon_H3a ].
% 0.67/0.87 exact (zenon_Ha9 zenon_Haa).
% 0.67/0.87 exact (zenon_H39 zenon_H3a).
% 0.67/0.87 (* end of lemma zenon_L232_ *)
% 0.67/0.87 assert (zenon_L233_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> (c2_1 (a19)) -> (~(c0_1 (a19))) -> (~(c3_1 (a19))) -> (ndr1_0) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> (~(hskp21)) -> (~(hskp20)) -> (~(c0_1 (a28))) -> (~(c2_1 (a28))) -> (c3_1 (a28)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(hskp3)) -> (~(hskp0)) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H2a zenon_H88 zenon_H86 zenon_H87 zenon_Ha zenon_H22e zenon_H14a zenon_H149 zenon_Ha9 zenon_H39 zenon_Hdb zenon_Hdc zenon_Hdd zenon_H279 zenon_H25 zenon_H27.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H2a); [ zenon_intro zenon_H1b | zenon_intro zenon_H2d ].
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H64 | zenon_intro zenon_H27a ].
% 0.67/0.87 apply (zenon_L54_); trivial.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H270 | zenon_intro zenon_H8f ].
% 0.67/0.87 apply (zenon_L232_); trivial.
% 0.67/0.87 apply (zenon_L36_); trivial.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H26 | zenon_intro zenon_H28 ].
% 0.67/0.87 exact (zenon_H25 zenon_H26).
% 0.67/0.87 exact (zenon_H27 zenon_H28).
% 0.67/0.87 (* end of lemma zenon_L233_ *)
% 0.67/0.87 assert (zenon_L234_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (~(hskp14)) -> (~(hskp16)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (c2_1 (a19)) -> (~(c0_1 (a19))) -> (~(c3_1 (a19))) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (~(hskp20)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> (c3_1 (a28)) -> (~(c2_1 (a28))) -> (~(c0_1 (a28))) -> (ndr1_0) -> (~(hskp3)) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H103 zenon_H230 zenon_Hd4 zenon_H1 zenon_H279 zenon_H88 zenon_H86 zenon_H87 zenon_H149 zenon_H14a zenon_H39 zenon_H22e zenon_Hdd zenon_Hdc zenon_Hdb zenon_Ha zenon_H25 zenon_H27 zenon_H2a.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hd6 ].
% 0.67/0.87 apply (zenon_L233_); trivial.
% 0.67/0.87 apply (zenon_L173_); trivial.
% 0.67/0.87 (* end of lemma zenon_L234_ *)
% 0.67/0.87 assert (zenon_L235_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp24)) -> (~(hskp3)) -> (c3_1 (a37)) -> (~(c0_1 (a37))) -> (c1_1 (a37)) -> (ndr1_0) -> (~(hskp7)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> False).
% 0.67/0.87 do 0 intro. intros zenon_He6 zenon_H6d zenon_H17 zenon_H25 zenon_H42 zenon_H44 zenon_H43 zenon_Ha zenon_Hb1 zenon_He7.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ].
% 0.67/0.87 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H64 | zenon_intro zenon_He8 ].
% 0.67/0.87 apply (zenon_L27_); trivial.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb2 ].
% 0.67/0.87 exact (zenon_Haf zenon_Hb0).
% 0.67/0.87 exact (zenon_Hb1 zenon_Hb2).
% 0.67/0.87 apply (zenon_L56_); trivial.
% 0.67/0.87 (* end of lemma zenon_L235_ *)
% 0.67/0.87 assert (zenon_L236_ : ((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> (~(hskp0)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> (~(hskp3)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H5e zenon_H2e zenon_H2a zenon_H27 zenon_He7 zenon_Hb1 zenon_H25 zenon_H6d zenon_He6.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_Ha. zenon_intro zenon_H60.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H43. zenon_intro zenon_H61.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H42. zenon_intro zenon_H44.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ].
% 0.67/0.87 apply (zenon_L235_); trivial.
% 0.67/0.87 apply (zenon_L13_); trivial.
% 0.67/0.87 (* end of lemma zenon_L236_ *)
% 0.67/0.87 assert (zenon_L237_ : ((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> (~(hskp0)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> (~(c3_1 (a19))) -> (~(c0_1 (a19))) -> (c2_1 (a19)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(hskp16)) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H10c zenon_H62 zenon_H2e zenon_He7 zenon_Hb1 zenon_H6d zenon_He6 zenon_H2a zenon_H27 zenon_H25 zenon_H22e zenon_H14a zenon_H149 zenon_H87 zenon_H86 zenon_H88 zenon_H279 zenon_H1 zenon_Hd4 zenon_H230 zenon_H103.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Ha. zenon_intro zenon_H10d.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Hdd. zenon_intro zenon_H10e.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H39 | zenon_intro zenon_H5e ].
% 0.67/0.87 apply (zenon_L234_); trivial.
% 0.67/0.87 apply (zenon_L236_); trivial.
% 0.67/0.87 (* end of lemma zenon_L237_ *)
% 0.67/0.87 assert (zenon_L238_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> (~(hskp0)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> (~(c3_1 (a19))) -> (~(c0_1 (a19))) -> (c2_1 (a19)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(hskp16)) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> (~(hskp9)) -> (~(hskp2)) -> ((hskp9)\/((hskp2)\/(hskp17))) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H10b zenon_H62 zenon_H2e zenon_He7 zenon_Hb1 zenon_H6d zenon_He6 zenon_H2a zenon_H27 zenon_H25 zenon_H22e zenon_H14a zenon_H149 zenon_H87 zenon_H86 zenon_H88 zenon_H279 zenon_H1 zenon_Hd4 zenon_H230 zenon_H103 zenon_H144 zenon_H5 zenon_H146.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hab | zenon_intro zenon_H10c ].
% 0.67/0.87 apply (zenon_L85_); trivial.
% 0.67/0.87 apply (zenon_L237_); trivial.
% 0.67/0.87 (* end of lemma zenon_L238_ *)
% 0.67/0.87 assert (zenon_L239_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((hskp9)\/((hskp2)\/(hskp17))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp7)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (ndr1_0) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H1c7 zenon_H1eb zenon_H24c zenon_H146 zenon_H144 zenon_H279 zenon_H149 zenon_H14a zenon_H25 zenon_H2a zenon_He6 zenon_H6d zenon_Hb1 zenon_He7 zenon_H10b zenon_H112 zenon_H23c zenon_H27 zenon_H81 zenon_H232 zenon_H225 zenon_H224 zenon_H223 zenon_H103 zenon_H230 zenon_Ha zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H22e zenon_H41 zenon_H5a zenon_H5f zenon_H62 zenon_H19 zenon_H5 zenon_Hf4 zenon_H2e zenon_H84 zenon_H3b zenon_H241.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c4 ].
% 0.67/0.87 apply (zenon_L185_); trivial.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_Ha. zenon_intro zenon_H1c5.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H88. zenon_intro zenon_H1c6.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H86. zenon_intro zenon_H87.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ].
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ].
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ].
% 0.67/0.87 apply (zenon_L238_); trivial.
% 0.67/0.87 apply (zenon_L186_); trivial.
% 0.67/0.87 apply (zenon_L182_); trivial.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H23f.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H31. zenon_intro zenon_H240.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H32. zenon_intro zenon_H30.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ].
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ].
% 0.67/0.87 apply (zenon_L238_); trivial.
% 0.67/0.87 apply (zenon_L190_); trivial.
% 0.67/0.87 apply (zenon_L182_); trivial.
% 0.67/0.87 (* end of lemma zenon_L239_ *)
% 0.67/0.87 assert (zenon_L240_ : ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3))) -> (c3_1 (a12)) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp3)) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H27b zenon_H254 zenon_H253 zenon_H252 zenon_Ha zenon_H162 zenon_H25.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H27c ].
% 0.67/0.87 apply (zenon_L200_); trivial.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H163 | zenon_intro zenon_H26 ].
% 0.67/0.87 exact (zenon_H162 zenon_H163).
% 0.67/0.87 exact (zenon_H25 zenon_H26).
% 0.67/0.87 (* end of lemma zenon_L240_ *)
% 0.67/0.87 assert (zenon_L241_ : (forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))) -> (ndr1_0) -> (c1_1 (a12)) -> (c2_1 (a12)) -> (c3_1 (a12)) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H63 zenon_Ha zenon_H253 zenon_H27d zenon_H254.
% 0.67/0.87 generalize (zenon_H63 (a12)). zenon_intro zenon_H27e.
% 0.67/0.87 apply (zenon_imply_s _ _ zenon_H27e); [ zenon_intro zenon_H9 | zenon_intro zenon_H27f ].
% 0.67/0.87 exact (zenon_H9 zenon_Ha).
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H25a | zenon_intro zenon_H280 ].
% 0.67/0.87 exact (zenon_H25a zenon_H253).
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H281 | zenon_intro zenon_H259 ].
% 0.67/0.87 exact (zenon_H281 zenon_H27d).
% 0.67/0.87 exact (zenon_H259 zenon_H254).
% 0.67/0.87 (* end of lemma zenon_L241_ *)
% 0.67/0.87 assert (zenon_L242_ : (forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))) -> (ndr1_0) -> (forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))) -> (c1_1 (a12)) -> (c3_1 (a12)) -> (c0_1 (a12)) -> False).
% 0.67/0.87 do 0 intro. intros zenon_Hca zenon_Ha zenon_H63 zenon_H253 zenon_H254 zenon_H252.
% 0.67/0.87 generalize (zenon_Hca (a12)). zenon_intro zenon_H282.
% 0.67/0.87 apply (zenon_imply_s _ _ zenon_H282); [ zenon_intro zenon_H9 | zenon_intro zenon_H283 ].
% 0.67/0.87 exact (zenon_H9 zenon_Ha).
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H27d | zenon_intro zenon_H284 ].
% 0.67/0.87 apply (zenon_L241_); trivial.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H258 | zenon_intro zenon_H25a ].
% 0.67/0.87 exact (zenon_H258 zenon_H252).
% 0.67/0.87 exact (zenon_H25a zenon_H253).
% 0.67/0.87 (* end of lemma zenon_L242_ *)
% 0.67/0.87 assert (zenon_L243_ : (forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41)))))) -> (ndr1_0) -> (forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))) -> (c1_1 (a12)) -> (c3_1 (a12)) -> (c0_1 (a12)) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H1ae zenon_Ha zenon_H63 zenon_H253 zenon_H254 zenon_H252.
% 0.67/0.87 generalize (zenon_H1ae (a12)). zenon_intro zenon_H285.
% 0.67/0.87 apply (zenon_imply_s _ _ zenon_H285); [ zenon_intro zenon_H9 | zenon_intro zenon_H286 ].
% 0.67/0.87 exact (zenon_H9 zenon_Ha).
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H27d | zenon_intro zenon_H287 ].
% 0.67/0.87 apply (zenon_L241_); trivial.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H258 | zenon_intro zenon_H259 ].
% 0.67/0.87 exact (zenon_H258 zenon_H252).
% 0.67/0.87 exact (zenon_H259 zenon_H254).
% 0.67/0.87 (* end of lemma zenon_L243_ *)
% 0.67/0.87 assert (zenon_L244_ : ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c0_1 (a12)) -> (c3_1 (a12)) -> (c1_1 (a12)) -> (forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))) -> (ndr1_0) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H1c8 zenon_H252 zenon_H254 zenon_H253 zenon_H63 zenon_Ha zenon_H196 zenon_H197 zenon_H198.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Hca | zenon_intro zenon_H1c9 ].
% 0.67/0.87 apply (zenon_L242_); trivial.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1ae | zenon_intro zenon_H195 ].
% 0.67/0.87 apply (zenon_L243_); trivial.
% 0.67/0.87 apply (zenon_L106_); trivial.
% 0.67/0.87 (* end of lemma zenon_L244_ *)
% 0.67/0.87 assert (zenon_L245_ : ((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a22)) -> (c2_1 (a22)) -> (~(c0_1 (a22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c0_1 (a12)) -> (c3_1 (a12)) -> (c1_1 (a12)) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H175 zenon_H17b zenon_Hfa zenon_Hf9 zenon_Hf8 zenon_H1c8 zenon_H252 zenon_H254 zenon_H253 zenon_H196 zenon_H197 zenon_H198.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H177.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H167. zenon_intro zenon_H168.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H9c | zenon_intro zenon_H17c ].
% 0.67/0.87 apply (zenon_L61_); trivial.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H178 | zenon_intro zenon_H63 ].
% 0.67/0.87 apply (zenon_L98_); trivial.
% 0.67/0.87 apply (zenon_L244_); trivial.
% 0.67/0.87 (* end of lemma zenon_L245_ *)
% 0.67/0.87 assert (zenon_L246_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c3_1 (a22)) -> (c2_1 (a22)) -> (~(c0_1 (a22))) -> (~(hskp3)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3))) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H25b zenon_H174 zenon_H17b zenon_H196 zenon_H197 zenon_H198 zenon_H1c8 zenon_Hfa zenon_Hf9 zenon_Hf8 zenon_H25 zenon_H27b.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_Ha. zenon_intro zenon_H25d.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H252. zenon_intro zenon_H25e.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H253. zenon_intro zenon_H254.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H162 | zenon_intro zenon_H175 ].
% 0.67/0.87 apply (zenon_L240_); trivial.
% 0.67/0.87 apply (zenon_L245_); trivial.
% 0.67/0.87 (* end of lemma zenon_L246_ *)
% 0.67/0.87 assert (zenon_L247_ : ((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (~(hskp3)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> (~(hskp10)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H10f zenon_H103 zenon_H260 zenon_H174 zenon_H17b zenon_H1c8 zenon_H25 zenon_H27b zenon_H223 zenon_H224 zenon_H225 zenon_H268 zenon_H196 zenon_H197 zenon_H198 zenon_H79 zenon_H19f.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha. zenon_intro zenon_H110.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Hf9. zenon_intro zenon_H111.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_Hfa. zenon_intro zenon_Hf8.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hd6 ].
% 0.67/0.87 apply (zenon_L107_); trivial.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha. zenon_intro zenon_Hd8.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcc. zenon_intro zenon_Hd9.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H24e | zenon_intro zenon_H25b ].
% 0.67/0.87 apply (zenon_L207_); trivial.
% 0.67/0.87 apply (zenon_L246_); trivial.
% 0.67/0.87 (* end of lemma zenon_L247_ *)
% 0.67/0.87 assert (zenon_L248_ : ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> (c0_1 (a12)) -> (c3_1 (a12)) -> (c1_1 (a12)) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))) -> (~(hskp25)) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H1d4 zenon_H252 zenon_H254 zenon_H253 zenon_Ha zenon_Hca zenon_H1d0.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H1d5 ].
% 0.67/0.87 apply (zenon_L200_); trivial.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H63 | zenon_intro zenon_H1d1 ].
% 0.67/0.87 apply (zenon_L242_); trivial.
% 0.67/0.87 exact (zenon_H1d0 zenon_H1d1).
% 0.67/0.87 (* end of lemma zenon_L248_ *)
% 0.67/0.87 assert (zenon_L249_ : ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> (c0_1 (a12)) -> (c3_1 (a12)) -> (c1_1 (a12)) -> (ndr1_0) -> (forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41)))))) -> (~(hskp25)) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H1d4 zenon_H252 zenon_H254 zenon_H253 zenon_Ha zenon_H1ae zenon_H1d0.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H1d5 ].
% 0.67/0.87 apply (zenon_L200_); trivial.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H63 | zenon_intro zenon_H1d1 ].
% 0.67/0.87 apply (zenon_L243_); trivial.
% 0.67/0.87 exact (zenon_H1d0 zenon_H1d1).
% 0.67/0.87 (* end of lemma zenon_L249_ *)
% 0.67/0.87 assert (zenon_L250_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (~(hskp25)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H25b zenon_H1c8 zenon_H1d0 zenon_H1d4 zenon_H196 zenon_H197 zenon_H198.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_Ha. zenon_intro zenon_H25d.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H252. zenon_intro zenon_H25e.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H253. zenon_intro zenon_H254.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Hca | zenon_intro zenon_H1c9 ].
% 0.67/0.87 apply (zenon_L248_); trivial.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1ae | zenon_intro zenon_H195 ].
% 0.67/0.87 apply (zenon_L249_); trivial.
% 0.67/0.87 apply (zenon_L106_); trivial.
% 0.67/0.87 (* end of lemma zenon_L250_ *)
% 0.67/0.87 assert (zenon_L251_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(hskp25)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> (ndr1_0) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> (~(c2_1 (a38))) -> (c0_1 (a38)) -> (c1_1 (a38)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H260 zenon_H1c8 zenon_H198 zenon_H197 zenon_H196 zenon_H1d0 zenon_H1d4 zenon_Ha zenon_H223 zenon_H224 zenon_H225 zenon_Hcb zenon_Hcc zenon_Hcd zenon_H268.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H24e | zenon_intro zenon_H25b ].
% 0.67/0.87 apply (zenon_L207_); trivial.
% 0.67/0.87 apply (zenon_L250_); trivial.
% 0.67/0.87 (* end of lemma zenon_L251_ *)
% 0.67/0.87 assert (zenon_L252_ : ((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c0_1 (a19))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> False).
% 0.67/0.87 do 0 intro. intros zenon_Hd6 zenon_H1ef zenon_H1eb zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H88 zenon_H87 zenon_H86 zenon_H268 zenon_H225 zenon_H224 zenon_H223 zenon_H1d4 zenon_H196 zenon_H197 zenon_H198 zenon_H1c8 zenon_H260.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha. zenon_intro zenon_Hd8.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcc. zenon_intro zenon_Hd9.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1ea ].
% 0.67/0.87 apply (zenon_L251_); trivial.
% 0.67/0.87 apply (zenon_L138_); trivial.
% 0.67/0.87 (* end of lemma zenon_L252_ *)
% 0.67/0.87 assert (zenon_L253_ : ((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> (~(hskp10)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H1c4 zenon_H103 zenon_H1ef zenon_H1eb zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H268 zenon_H225 zenon_H224 zenon_H223 zenon_H1d4 zenon_H1c8 zenon_H260 zenon_H196 zenon_H197 zenon_H198 zenon_H79 zenon_H19f.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_Ha. zenon_intro zenon_H1c5.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H88. zenon_intro zenon_H1c6.
% 0.67/0.87 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H86. zenon_intro zenon_H87.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hd6 ].
% 0.67/0.87 apply (zenon_L107_); trivial.
% 0.67/0.87 apply (zenon_L252_); trivial.
% 0.67/0.87 (* end of lemma zenon_L253_ *)
% 0.67/0.87 assert (zenon_L254_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (~(hskp3)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> (~(hskp10)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (ndr1_0) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> (~(hskp0)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H1c7 zenon_H1ef zenon_H1eb zenon_H1d4 zenon_H112 zenon_H260 zenon_H174 zenon_H17b zenon_H1c8 zenon_H25 zenon_H27b zenon_H268 zenon_H196 zenon_H197 zenon_H198 zenon_H79 zenon_H19f zenon_H81 zenon_H232 zenon_H225 zenon_H224 zenon_H223 zenon_H103 zenon_H230 zenon_Ha zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H22e zenon_H41 zenon_H5a zenon_H5f zenon_H62 zenon_H19 zenon_H5 zenon_Hf4 zenon_H2e zenon_H84 zenon_H3b zenon_H27 zenon_H23c zenon_H241.
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c4 ].
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ].
% 0.67/0.87 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ].
% 0.67/0.87 apply (zenon_L181_); trivial.
% 0.67/0.87 apply (zenon_L247_); trivial.
% 0.67/0.87 apply (zenon_L184_); trivial.
% 0.67/0.87 apply (zenon_L253_); trivial.
% 0.67/0.87 (* end of lemma zenon_L254_ *)
% 0.67/0.87 assert (zenon_L255_ : (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9)))))) -> (ndr1_0) -> (~(c0_1 (a18))) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (~(c1_1 (a18))) -> (c3_1 (a18)) -> False).
% 0.67/0.87 do 0 intro. intros zenon_H64 zenon_Ha zenon_H9d zenon_H6f zenon_H194 zenon_H9f.
% 0.67/0.87 generalize (zenon_H64 (a18)). zenon_intro zenon_Ha6.
% 0.67/0.87 apply (zenon_imply_s _ _ zenon_Ha6); [ zenon_intro zenon_H9 | zenon_intro zenon_Ha7 ].
% 0.67/0.87 exact (zenon_H9 zenon_Ha).
% 0.67/0.87 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha8 ].
% 0.67/0.88 exact (zenon_H9d zenon_Ha3).
% 0.67/0.88 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H9e | zenon_intro zenon_Ha4 ].
% 0.67/0.88 generalize (zenon_H6f (a18)). zenon_intro zenon_H288.
% 0.67/0.88 apply (zenon_imply_s _ _ zenon_H288); [ zenon_intro zenon_H9 | zenon_intro zenon_H289 ].
% 0.67/0.88 exact (zenon_H9 zenon_Ha).
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H1fb | zenon_intro zenon_Ha2 ].
% 0.67/0.88 exact (zenon_H194 zenon_H1fb).
% 0.67/0.88 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Ha4 ].
% 0.67/0.88 exact (zenon_Ha5 zenon_H9e).
% 0.67/0.88 exact (zenon_Ha4 zenon_H9f).
% 0.67/0.88 exact (zenon_Ha4 zenon_H9f).
% 0.67/0.88 (* end of lemma zenon_L255_ *)
% 0.67/0.88 assert (zenon_L256_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9)))))) -> (ndr1_0) -> (~(c0_1 (a18))) -> (~(c1_1 (a18))) -> (c3_1 (a18)) -> False).
% 0.67/0.88 do 0 intro. intros zenon_H232 zenon_H225 zenon_H224 zenon_H223 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H64 zenon_Ha zenon_H9d zenon_H194 zenon_H9f.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H222 | zenon_intro zenon_H233 ].
% 0.67/0.88 apply (zenon_L170_); trivial.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H6f ].
% 0.67/0.88 apply (zenon_L136_); trivial.
% 0.67/0.88 apply (zenon_L255_); trivial.
% 0.67/0.88 (* end of lemma zenon_L256_ *)
% 0.67/0.88 assert (zenon_L257_ : ((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18)))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> False).
% 0.67/0.88 do 0 intro. intros zenon_H191 zenon_H18c zenon_H266 zenon_H1ce zenon_H232 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H225 zenon_H224 zenon_H223 zenon_H196 zenon_H197 zenon_H198 zenon_H26a.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H154 | zenon_intro zenon_H189 ].
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H64 | zenon_intro zenon_H26b ].
% 0.67/0.88 apply (zenon_L256_); trivial.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H195 | zenon_intro zenon_H155 ].
% 0.67/0.88 apply (zenon_L106_); trivial.
% 0.67/0.88 exact (zenon_H154 zenon_H155).
% 0.67/0.88 apply (zenon_L219_); trivial.
% 0.67/0.88 (* end of lemma zenon_L257_ *)
% 0.67/0.88 assert (zenon_L258_ : ((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> False).
% 0.67/0.88 do 0 intro. intros zenon_H1a2 zenon_H1a1 zenon_H18c zenon_H266 zenon_H1ce zenon_H26a zenon_H241 zenon_H23c zenon_H27 zenon_H3b zenon_H84 zenon_H2e zenon_Hf4 zenon_H5 zenon_H19 zenon_H62 zenon_H5f zenon_H5a zenon_H41 zenon_H22e zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H230 zenon_H103 zenon_H223 zenon_H224 zenon_H225 zenon_H232 zenon_H81 zenon_H19f zenon_H268 zenon_H27b zenon_H25 zenon_H1c8 zenon_H17b zenon_H174 zenon_H260 zenon_H112 zenon_H1d4 zenon_H1eb zenon_H1ef zenon_H1c7.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ].
% 0.67/0.88 apply (zenon_L254_); trivial.
% 0.67/0.88 apply (zenon_L257_); trivial.
% 0.67/0.88 (* end of lemma zenon_L258_ *)
% 0.67/0.88 assert (zenon_L259_ : ((~(hskp8))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16))))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> (~(hskp0)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> (~(hskp3)) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((hskp9)\/((hskp2)\/(hskp17))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> (ndr1_0) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> (~(hskp7)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((hskp7)\/(hskp8))) -> False).
% 0.67/0.88 do 0 intro. intros zenon_H1f0 zenon_H1f1 zenon_H1a1 zenon_H18c zenon_H266 zenon_H1ce zenon_H26a zenon_H19f zenon_H268 zenon_H27b zenon_H1c8 zenon_H17b zenon_H174 zenon_H260 zenon_H1d4 zenon_H1ef zenon_H241 zenon_H3b zenon_H84 zenon_H2e zenon_Hf4 zenon_H5 zenon_H19 zenon_H62 zenon_H5f zenon_H5a zenon_H41 zenon_H22e zenon_H230 zenon_H103 zenon_H232 zenon_H81 zenon_H27 zenon_H23c zenon_H112 zenon_H10b zenon_He7 zenon_H6d zenon_He6 zenon_H2a zenon_H25 zenon_H14a zenon_H149 zenon_H279 zenon_H146 zenon_H24c zenon_H1eb zenon_H1c7 zenon_Ha zenon_H223 zenon_H224 zenon_H225 zenon_Hb1 zenon_H22c.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ].
% 0.67/0.88 apply (zenon_L171_); trivial.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.88 apply (zenon_L239_); trivial.
% 0.67/0.88 apply (zenon_L258_); trivial.
% 0.67/0.88 (* end of lemma zenon_L259_ *)
% 0.67/0.88 assert (zenon_L260_ : ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp22)\/(hskp20))) -> (c3_1 (a28)) -> (~(c2_1 (a28))) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))) -> (ndr1_0) -> (~(hskp22)) -> (~(hskp20)) -> False).
% 0.67/0.88 do 0 intro. intros zenon_H28a zenon_Hdd zenon_Hdc zenon_Hea zenon_Ha zenon_H152 zenon_H39.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_He9 | zenon_intro zenon_H28b ].
% 0.67/0.88 apply (zenon_L58_); trivial.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H153 | zenon_intro zenon_H3a ].
% 0.67/0.88 exact (zenon_H152 zenon_H153).
% 0.67/0.88 exact (zenon_H39 zenon_H3a).
% 0.67/0.88 (* end of lemma zenon_L260_ *)
% 0.67/0.88 assert (zenon_L261_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a99))/\((c2_1 (a99))/\(~(c0_1 (a99))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(hskp3)) -> (~(hskp24)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (c2_1 (a42)) -> (c0_1 (a42)) -> (~(c1_1 (a42))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((hskp29)\/((hskp26)\/(hskp14))) -> (~(hskp14)) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> (~(hskp6)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp6))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> False).
% 0.67/0.88 do 0 intro. intros zenon_H137 zenon_H28c zenon_H25 zenon_H17 zenon_H6d zenon_H15b zenon_H15a zenon_H159 zenon_H225 zenon_H224 zenon_H223 zenon_H115 zenon_Hd4 zenon_H118 zenon_H119 zenon_H11a zenon_H98 zenon_H121 zenon_H5f.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H113 | zenon_intro zenon_H134 ].
% 0.67/0.88 apply (zenon_L75_); trivial.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_Ha. zenon_intro zenon_H135.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H123. zenon_intro zenon_H136.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H124. zenon_intro zenon_H12c.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H222 | zenon_intro zenon_H28d ].
% 0.67/0.88 apply (zenon_L170_); trivial.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H158 | zenon_intro zenon_H8f ].
% 0.67/0.88 apply (zenon_L90_); trivial.
% 0.67/0.88 apply (zenon_L79_); trivial.
% 0.67/0.88 (* end of lemma zenon_L261_ *)
% 0.67/0.88 assert (zenon_L262_ : ((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> False).
% 0.67/0.88 do 0 intro. intros zenon_H7d zenon_H1a7 zenon_H11a zenon_H119 zenon_H118 zenon_H149 zenon_H14a zenon_H14b.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_Ha. zenon_intro zenon_H7e.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H71. zenon_intro zenon_H7f.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H72. zenon_intro zenon_H70.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H117 | zenon_intro zenon_H1a8 ].
% 0.67/0.88 apply (zenon_L73_); trivial.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6f | zenon_intro zenon_H148 ].
% 0.67/0.88 apply (zenon_L28_); trivial.
% 0.67/0.88 apply (zenon_L86_); trivial.
% 0.67/0.88 (* end of lemma zenon_L262_ *)
% 0.67/0.88 assert (zenon_L263_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> ((hskp9)\/((hskp2)\/(hskp17))) -> (~(hskp2)) -> (~(hskp9)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp22)\/(hskp20))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a99))/\((c2_1 (a99))/\(~(c0_1 (a99))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(hskp3)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> ((hskp29)\/((hskp26)\/(hskp14))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp6))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> False).
% 0.67/0.88 do 0 intro. intros zenon_H112 zenon_H23c zenon_H146 zenon_H5 zenon_H144 zenon_H62 zenon_H1f5 zenon_H41 zenon_H28e zenon_H98 zenon_H28a zenon_H225 zenon_H224 zenon_H223 zenon_H137 zenon_H28c zenon_H25 zenon_H6d zenon_H115 zenon_H118 zenon_H119 zenon_H11a zenon_H121 zenon_H5f zenon_H27 zenon_H2a zenon_H2e zenon_H18d zenon_H149 zenon_H14a zenon_H14b zenon_H1a7 zenon_H81 zenon_H10b.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ].
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hab | zenon_intro zenon_H10c ].
% 0.67/0.88 apply (zenon_L85_); trivial.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Ha. zenon_intro zenon_H10d.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Hdd. zenon_intro zenon_H10e.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ].
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H39 | zenon_intro zenon_H5e ].
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ].
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H222 | zenon_intro zenon_H28f ].
% 0.67/0.88 apply (zenon_L170_); trivial.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_Hea | zenon_intro zenon_H99 ].
% 0.67/0.88 apply (zenon_L260_); trivial.
% 0.67/0.88 exact (zenon_H98 zenon_H99).
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15a. zenon_intro zenon_H190.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ].
% 0.67/0.88 apply (zenon_L261_); trivial.
% 0.67/0.88 apply (zenon_L13_); trivial.
% 0.67/0.88 apply (zenon_L194_); trivial.
% 0.67/0.88 apply (zenon_L262_); trivial.
% 0.67/0.88 apply (zenon_L182_); trivial.
% 0.67/0.88 (* end of lemma zenon_L263_ *)
% 0.67/0.88 assert (zenon_L264_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> (c3_1 (a18)) -> (~(c1_1 (a18))) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (~(c0_1 (a18))) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (ndr1_0) -> (~(hskp12)) -> False).
% 0.67/0.88 do 0 intro. intros zenon_H26a zenon_H9f zenon_H194 zenon_H6f zenon_H9d zenon_H198 zenon_H197 zenon_H196 zenon_Ha zenon_H154.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H64 | zenon_intro zenon_H26b ].
% 0.67/0.88 apply (zenon_L255_); trivial.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H195 | zenon_intro zenon_H155 ].
% 0.67/0.88 apply (zenon_L106_); trivial.
% 0.67/0.88 exact (zenon_H154 zenon_H155).
% 0.67/0.88 (* end of lemma zenon_L264_ *)
% 0.67/0.88 assert (zenon_L265_ : ((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18)))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> False).
% 0.67/0.88 do 0 intro. intros zenon_H191 zenon_H18c zenon_H266 zenon_H1ce zenon_H225 zenon_H224 zenon_H223 zenon_H118 zenon_H119 zenon_H11a zenon_H26a zenon_H198 zenon_H197 zenon_H196 zenon_H149 zenon_H14a zenon_H14b zenon_H1a7.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H154 | zenon_intro zenon_H189 ].
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H117 | zenon_intro zenon_H1a8 ].
% 0.67/0.88 apply (zenon_L73_); trivial.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6f | zenon_intro zenon_H148 ].
% 0.67/0.88 apply (zenon_L264_); trivial.
% 0.67/0.88 apply (zenon_L86_); trivial.
% 0.67/0.88 apply (zenon_L219_); trivial.
% 0.67/0.88 (* end of lemma zenon_L265_ *)
% 0.67/0.88 assert (zenon_L266_ : ((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> False).
% 0.67/0.88 do 0 intro. intros zenon_H1a2 zenon_H1a1 zenon_H18c zenon_H266 zenon_H1ce zenon_H118 zenon_H119 zenon_H11a zenon_H26a zenon_H149 zenon_H14a zenon_H14b zenon_H1a7 zenon_H19f zenon_H268 zenon_H225 zenon_H224 zenon_H223 zenon_H1ca zenon_H1cc zenon_H260 zenon_H103.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ].
% 0.67/0.88 apply (zenon_L210_); trivial.
% 0.67/0.88 apply (zenon_L265_); trivial.
% 0.67/0.88 (* end of lemma zenon_L266_ *)
% 0.67/0.88 assert (zenon_L267_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (c0_1 (a9)) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (~(hskp14)) -> (~(hskp16)) -> (ndr1_0) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> (~(hskp9)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> False).
% 0.67/0.88 do 0 intro. intros zenon_H81 zenon_H1a7 zenon_H14b zenon_H14a zenon_H149 zenon_H103 zenon_H230 zenon_Hd4 zenon_H1 zenon_Ha zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H22e zenon_H41 zenon_H118 zenon_H119 zenon_H11a zenon_H144 zenon_H1f5 zenon_H5f zenon_H62.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ].
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H39 | zenon_intro zenon_H5e ].
% 0.67/0.88 apply (zenon_L174_); trivial.
% 0.67/0.88 apply (zenon_L194_); trivial.
% 0.67/0.88 apply (zenon_L262_); trivial.
% 0.67/0.88 (* end of lemma zenon_L267_ *)
% 0.67/0.88 assert (zenon_L268_ : ((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (c0_1 (a9)) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> (c2_1 (a21)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> (~(hskp9)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> False).
% 0.67/0.88 do 0 intro. intros zenon_H80 zenon_H81 zenon_H1a7 zenon_H14b zenon_H14a zenon_H149 zenon_H3b zenon_H32 zenon_H31 zenon_H30 zenon_H41 zenon_H118 zenon_H119 zenon_H11a zenon_H144 zenon_H1f5 zenon_H5f zenon_H62.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H82.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Hd. zenon_intro zenon_H83.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ].
% 0.67/0.88 apply (zenon_L195_); trivial.
% 0.67/0.88 apply (zenon_L262_); trivial.
% 0.67/0.88 (* end of lemma zenon_L268_ *)
% 0.67/0.88 assert (zenon_L269_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> (~(hskp0)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> False).
% 0.67/0.88 do 0 intro. intros zenon_H241 zenon_H3b zenon_H84 zenon_H2e zenon_Hf4 zenon_H5 zenon_H223 zenon_H224 zenon_H225 zenon_H232 zenon_H19 zenon_H62 zenon_H5f zenon_H1f5 zenon_H144 zenon_H11a zenon_H119 zenon_H118 zenon_H41 zenon_H22e zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_Ha zenon_H230 zenon_H103 zenon_H149 zenon_H14a zenon_H14b zenon_H1a7 zenon_H81 zenon_H27 zenon_H23c zenon_H112.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ].
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ].
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ].
% 0.67/0.88 apply (zenon_L267_); trivial.
% 0.67/0.88 apply (zenon_L180_); trivial.
% 0.67/0.88 apply (zenon_L182_); trivial.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H23f.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H31. zenon_intro zenon_H240.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H32. zenon_intro zenon_H30.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ].
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ].
% 0.67/0.88 apply (zenon_L267_); trivial.
% 0.67/0.88 apply (zenon_L268_); trivial.
% 0.67/0.88 apply (zenon_L182_); trivial.
% 0.67/0.88 (* end of lemma zenon_L269_ *)
% 0.67/0.88 assert (zenon_L270_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16))))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (c0_1 (a9)) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> False).
% 0.67/0.88 do 0 intro. intros zenon_H1f2 zenon_H1f1 zenon_H1a1 zenon_H18c zenon_H266 zenon_H1ce zenon_H26a zenon_H5a zenon_H19f zenon_H268 zenon_H27b zenon_H25 zenon_H1c8 zenon_H17b zenon_H174 zenon_H260 zenon_H1d4 zenon_H1eb zenon_H1ef zenon_H1c7 zenon_H112 zenon_H23c zenon_H27 zenon_H81 zenon_H1a7 zenon_H14b zenon_H14a zenon_H149 zenon_H103 zenon_H230 zenon_H22e zenon_H41 zenon_H118 zenon_H119 zenon_H11a zenon_H1f5 zenon_H5f zenon_H62 zenon_H19 zenon_H232 zenon_H225 zenon_H224 zenon_H223 zenon_H5 zenon_Hf4 zenon_H2e zenon_H84 zenon_H3b zenon_H241.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.88 apply (zenon_L269_); trivial.
% 0.67/0.88 apply (zenon_L258_); trivial.
% 0.67/0.88 (* end of lemma zenon_L270_ *)
% 0.67/0.88 assert (zenon_L271_ : (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (ndr1_0) -> (~(c0_1 (a13))) -> (~(c1_1 (a13))) -> (c2_1 (a13)) -> False).
% 0.67/0.88 do 0 intro. intros zenon_H1b zenon_Ha zenon_H139 zenon_H13a zenon_H290.
% 0.67/0.88 generalize (zenon_H1b (a13)). zenon_intro zenon_H291.
% 0.67/0.88 apply (zenon_imply_s _ _ zenon_H291); [ zenon_intro zenon_H9 | zenon_intro zenon_H292 ].
% 0.67/0.88 exact (zenon_H9 zenon_Ha).
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H13f | zenon_intro zenon_H293 ].
% 0.67/0.88 exact (zenon_H139 zenon_H13f).
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H141 | zenon_intro zenon_H294 ].
% 0.67/0.88 exact (zenon_H13a zenon_H141).
% 0.67/0.88 exact (zenon_H294 zenon_H290).
% 0.67/0.88 (* end of lemma zenon_L271_ *)
% 0.67/0.88 assert (zenon_L272_ : (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16))))) -> (ndr1_0) -> (~(c1_1 (a13))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c0_1 (a13))) -> (~(c3_1 (a13))) -> False).
% 0.67/0.88 do 0 intro. intros zenon_H1d6 zenon_Ha zenon_H13a zenon_H1b zenon_H139 zenon_H13b.
% 0.67/0.88 generalize (zenon_H1d6 (a13)). zenon_intro zenon_H295.
% 0.67/0.88 apply (zenon_imply_s _ _ zenon_H295); [ zenon_intro zenon_H9 | zenon_intro zenon_H296 ].
% 0.67/0.88 exact (zenon_H9 zenon_Ha).
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H296); [ zenon_intro zenon_H141 | zenon_intro zenon_H297 ].
% 0.67/0.88 exact (zenon_H13a zenon_H141).
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H297); [ zenon_intro zenon_H290 | zenon_intro zenon_H140 ].
% 0.67/0.88 apply (zenon_L271_); trivial.
% 0.67/0.88 exact (zenon_H13b zenon_H140).
% 0.67/0.88 (* end of lemma zenon_L272_ *)
% 0.67/0.88 assert (zenon_L273_ : ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> (~(c3_1 (a13))) -> (~(c0_1 (a13))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c1_1 (a13))) -> (ndr1_0) -> (~(hskp21)) -> (~(hskp20)) -> False).
% 0.67/0.88 do 0 intro. intros zenon_H22e zenon_H13b zenon_H139 zenon_H1b zenon_H13a zenon_Ha zenon_Ha9 zenon_H39.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H22f ].
% 0.67/0.88 apply (zenon_L272_); trivial.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_Haa | zenon_intro zenon_H3a ].
% 0.67/0.88 exact (zenon_Ha9 zenon_Haa).
% 0.67/0.88 exact (zenon_H39 zenon_H3a).
% 0.67/0.88 (* end of lemma zenon_L273_ *)
% 0.67/0.88 assert (zenon_L274_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (c0_1 (a9)) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (~(hskp14)) -> (~(hskp16)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> (~(c3_1 (a13))) -> (~(c0_1 (a13))) -> (~(c1_1 (a13))) -> (ndr1_0) -> (~(hskp3)) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> False).
% 0.67/0.88 do 0 intro. intros zenon_H81 zenon_H1a7 zenon_H14b zenon_H14a zenon_H149 zenon_H11a zenon_H119 zenon_H118 zenon_H103 zenon_H230 zenon_Hd4 zenon_H1 zenon_H22e zenon_H13b zenon_H139 zenon_H13a zenon_Ha zenon_H25 zenon_H27 zenon_H2a zenon_H41 zenon_H57 zenon_H5a zenon_H5f zenon_H62.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ].
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H39 | zenon_intro zenon_H5e ].
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hd6 ].
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H2a); [ zenon_intro zenon_H1b | zenon_intro zenon_H2d ].
% 0.67/0.88 apply (zenon_L273_); trivial.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H26 | zenon_intro zenon_H28 ].
% 0.67/0.88 exact (zenon_H25 zenon_H26).
% 0.67/0.88 exact (zenon_H27 zenon_H28).
% 0.67/0.88 apply (zenon_L173_); trivial.
% 0.67/0.88 apply (zenon_L24_); trivial.
% 0.67/0.88 apply (zenon_L262_); trivial.
% 0.67/0.88 (* end of lemma zenon_L274_ *)
% 0.67/0.88 assert (zenon_L275_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (c0_1 (a9)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (~(hskp14)) -> (~(hskp16)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (c2_1 (a19)) -> (~(c0_1 (a19))) -> (~(c3_1 (a19))) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> (~(hskp3)) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> (~(hskp9)) -> (~(hskp2)) -> ((hskp9)\/((hskp2)\/(hskp17))) -> False).
% 0.67/0.88 do 0 intro. intros zenon_H10b zenon_H81 zenon_H1a7 zenon_H14b zenon_H103 zenon_H230 zenon_Hd4 zenon_H1 zenon_H279 zenon_H88 zenon_H86 zenon_H87 zenon_H149 zenon_H14a zenon_H22e zenon_H25 zenon_H27 zenon_H2a zenon_H41 zenon_H118 zenon_H119 zenon_H11a zenon_H1f5 zenon_H5f zenon_H62 zenon_H144 zenon_H5 zenon_H146.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hab | zenon_intro zenon_H10c ].
% 0.67/0.88 apply (zenon_L85_); trivial.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Ha. zenon_intro zenon_H10d.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Hdd. zenon_intro zenon_H10e.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ].
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H39 | zenon_intro zenon_H5e ].
% 0.67/0.88 apply (zenon_L234_); trivial.
% 0.67/0.88 apply (zenon_L194_); trivial.
% 0.67/0.88 apply (zenon_L262_); trivial.
% 0.67/0.88 (* end of lemma zenon_L275_ *)
% 0.67/0.88 assert (zenon_L276_ : ((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> ((hskp9)\/((hskp2)\/(hskp17))) -> (~(hskp2)) -> (~(hskp9)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> (~(hskp0)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> (c0_1 (a9)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> False).
% 0.67/0.88 do 0 intro. intros zenon_H1c4 zenon_H241 zenon_H3b zenon_H84 zenon_H2e zenon_H19 zenon_H146 zenon_H5 zenon_H144 zenon_H62 zenon_H5f zenon_H1f5 zenon_H11a zenon_H119 zenon_H118 zenon_H41 zenon_H2a zenon_H27 zenon_H25 zenon_H22e zenon_H14a zenon_H149 zenon_H279 zenon_H230 zenon_H103 zenon_H14b zenon_H1a7 zenon_H81 zenon_H10b zenon_H223 zenon_H224 zenon_H225 zenon_H23c zenon_H112.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_Ha. zenon_intro zenon_H1c5.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H88. zenon_intro zenon_H1c6.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H86. zenon_intro zenon_H87.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ].
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ].
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ].
% 0.67/0.88 apply (zenon_L275_); trivial.
% 0.67/0.88 apply (zenon_L186_); trivial.
% 0.67/0.88 apply (zenon_L182_); trivial.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H23f.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H31. zenon_intro zenon_H240.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H32. zenon_intro zenon_H30.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ].
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ].
% 0.67/0.88 apply (zenon_L275_); trivial.
% 0.67/0.88 apply (zenon_L268_); trivial.
% 0.67/0.88 apply (zenon_L182_); trivial.
% 0.67/0.88 (* end of lemma zenon_L276_ *)
% 0.67/0.88 assert (zenon_L277_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> ((hskp9)\/((hskp2)\/(hskp17))) -> (~(hskp2)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (c0_1 (a9)) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> (~(c3_1 (a13))) -> (~(c0_1 (a13))) -> (~(c1_1 (a13))) -> (ndr1_0) -> (~(hskp3)) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> (~(hskp9)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> False).
% 0.67/0.88 do 0 intro. intros zenon_H1c7 zenon_H146 zenon_H5 zenon_H279 zenon_H10b zenon_H112 zenon_H23c zenon_H225 zenon_H224 zenon_H223 zenon_H81 zenon_H1a7 zenon_H14b zenon_H14a zenon_H149 zenon_H11a zenon_H119 zenon_H118 zenon_H103 zenon_H230 zenon_H22e zenon_H13b zenon_H139 zenon_H13a zenon_Ha zenon_H25 zenon_H27 zenon_H2a zenon_H41 zenon_H5a zenon_H5f zenon_H62 zenon_H19 zenon_H2e zenon_H84 zenon_H3b zenon_H144 zenon_H1f5 zenon_H241.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c4 ].
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ].
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ].
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ].
% 0.67/0.88 apply (zenon_L274_); trivial.
% 0.67/0.88 apply (zenon_L186_); trivial.
% 0.67/0.88 apply (zenon_L182_); trivial.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H23f.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H31. zenon_intro zenon_H240.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H32. zenon_intro zenon_H30.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ].
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ].
% 0.67/0.88 apply (zenon_L274_); trivial.
% 0.67/0.88 apply (zenon_L268_); trivial.
% 0.67/0.88 apply (zenon_L182_); trivial.
% 0.67/0.88 apply (zenon_L276_); trivial.
% 0.67/0.88 (* end of lemma zenon_L277_ *)
% 0.67/0.88 assert (zenon_L278_ : ((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> False).
% 0.67/0.88 do 0 intro. intros zenon_H191 zenon_H206 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H223 zenon_H224 zenon_H225 zenon_H232 zenon_H1fd zenon_H1fe zenon_H1ff.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H207 ].
% 0.67/0.88 apply (zenon_L143_); trivial.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H64 | zenon_intro zenon_H1fc ].
% 0.67/0.88 apply (zenon_L256_); trivial.
% 0.67/0.88 apply (zenon_L144_); trivial.
% 0.67/0.88 (* end of lemma zenon_L278_ *)
% 0.67/0.88 assert (zenon_L279_ : ((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (c0_1 (a11)) -> (~(c2_1 (a11))) -> (~(c1_1 (a11))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> False).
% 0.67/0.88 do 0 intro. intros zenon_H1a2 zenon_H1a1 zenon_H206 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H241 zenon_H23c zenon_H27 zenon_H3b zenon_H84 zenon_H2e zenon_Hf4 zenon_H5 zenon_H19 zenon_H62 zenon_H5f zenon_H5a zenon_H41 zenon_H22e zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H230 zenon_H103 zenon_H223 zenon_H224 zenon_H225 zenon_H232 zenon_H81 zenon_H19f zenon_H268 zenon_H27b zenon_H25 zenon_H1c8 zenon_H17b zenon_H174 zenon_H260 zenon_H112 zenon_H1d4 zenon_H1eb zenon_H1ef zenon_H1c7.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ].
% 0.67/0.88 apply (zenon_L254_); trivial.
% 0.67/0.88 apply (zenon_L278_); trivial.
% 0.67/0.88 (* end of lemma zenon_L279_ *)
% 0.67/0.88 assert (zenon_L280_ : ((~(hskp8))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16))))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (c0_1 (a11)) -> (~(c2_1 (a11))) -> (~(c1_1 (a11))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> (~(hskp0)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> (~(hskp3)) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((hskp9)\/((hskp2)\/(hskp17))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> (ndr1_0) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> (~(hskp7)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((hskp7)\/(hskp8))) -> False).
% 0.67/0.88 do 0 intro. intros zenon_H1f0 zenon_H1f1 zenon_H1a1 zenon_H206 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H19f zenon_H268 zenon_H27b zenon_H1c8 zenon_H17b zenon_H174 zenon_H260 zenon_H1d4 zenon_H1ef zenon_H241 zenon_H3b zenon_H84 zenon_H2e zenon_Hf4 zenon_H5 zenon_H19 zenon_H62 zenon_H5f zenon_H5a zenon_H41 zenon_H22e zenon_H230 zenon_H103 zenon_H232 zenon_H81 zenon_H27 zenon_H23c zenon_H112 zenon_H10b zenon_He7 zenon_H6d zenon_He6 zenon_H2a zenon_H25 zenon_H14a zenon_H149 zenon_H279 zenon_H146 zenon_H24c zenon_H1eb zenon_H1c7 zenon_Ha zenon_H223 zenon_H224 zenon_H225 zenon_Hb1 zenon_H22c.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ].
% 0.67/0.88 apply (zenon_L171_); trivial.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.88 apply (zenon_L239_); trivial.
% 0.67/0.88 apply (zenon_L279_); trivial.
% 0.67/0.88 (* end of lemma zenon_L280_ *)
% 0.67/0.88 assert (zenon_L281_ : ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> (c3_1 (a18)) -> (~(c1_1 (a18))) -> (~(c0_1 (a18))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9)))))) -> (ndr1_0) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> False).
% 0.67/0.88 do 0 intro. intros zenon_H1a7 zenon_H11a zenon_H119 zenon_H118 zenon_H9f zenon_H194 zenon_H9d zenon_H64 zenon_Ha zenon_H149 zenon_H14a zenon_H14b.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H117 | zenon_intro zenon_H1a8 ].
% 0.67/0.88 apply (zenon_L73_); trivial.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6f | zenon_intro zenon_H148 ].
% 0.67/0.88 apply (zenon_L255_); trivial.
% 0.67/0.88 apply (zenon_L86_); trivial.
% 0.67/0.88 (* end of lemma zenon_L281_ *)
% 0.67/0.88 assert (zenon_L282_ : ((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (c0_1 (a9)) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> False).
% 0.67/0.88 do 0 intro. intros zenon_H191 zenon_H206 zenon_H14b zenon_H14a zenon_H149 zenon_H118 zenon_H119 zenon_H11a zenon_H1a7 zenon_H1fd zenon_H1fe zenon_H1ff.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H207 ].
% 0.67/0.88 apply (zenon_L143_); trivial.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H64 | zenon_intro zenon_H1fc ].
% 0.67/0.88 apply (zenon_L281_); trivial.
% 0.67/0.88 apply (zenon_L144_); trivial.
% 0.67/0.88 (* end of lemma zenon_L282_ *)
% 0.67/0.88 assert (zenon_L283_ : ((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (c0_1 (a11)) -> (~(c2_1 (a11))) -> (~(c1_1 (a11))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> False).
% 0.67/0.88 do 0 intro. intros zenon_H1a2 zenon_H1a1 zenon_H206 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H118 zenon_H119 zenon_H11a zenon_H149 zenon_H14a zenon_H14b zenon_H1a7 zenon_H19f zenon_H268 zenon_H225 zenon_H224 zenon_H223 zenon_H1ca zenon_H1cc zenon_H260 zenon_H103.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ].
% 0.67/0.88 apply (zenon_L210_); trivial.
% 0.67/0.88 apply (zenon_L282_); trivial.
% 0.67/0.88 (* end of lemma zenon_L283_ *)
% 0.67/0.88 assert (zenon_L284_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16))))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (c0_1 (a11)) -> (~(c2_1 (a11))) -> (~(c1_1 (a11))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (c0_1 (a9)) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> False).
% 0.67/0.88 do 0 intro. intros zenon_H1f2 zenon_H1f1 zenon_H1a1 zenon_H206 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H5a zenon_H19f zenon_H268 zenon_H27b zenon_H25 zenon_H1c8 zenon_H17b zenon_H174 zenon_H260 zenon_H1d4 zenon_H1eb zenon_H1ef zenon_H1c7 zenon_H112 zenon_H23c zenon_H27 zenon_H81 zenon_H1a7 zenon_H14b zenon_H14a zenon_H149 zenon_H103 zenon_H230 zenon_H22e zenon_H41 zenon_H118 zenon_H119 zenon_H11a zenon_H1f5 zenon_H5f zenon_H62 zenon_H19 zenon_H232 zenon_H225 zenon_H224 zenon_H223 zenon_H5 zenon_Hf4 zenon_H2e zenon_H84 zenon_H3b zenon_H241.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.88 apply (zenon_L269_); trivial.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ].
% 0.67/0.88 apply (zenon_L254_); trivial.
% 0.67/0.88 apply (zenon_L282_); trivial.
% 0.67/0.88 (* end of lemma zenon_L284_ *)
% 0.67/0.88 assert (zenon_L285_ : ((hskp21)\/((hskp13)\/(hskp24))) -> (~(hskp21)) -> (~(hskp13)) -> (~(hskp24)) -> False).
% 0.67/0.88 do 0 intro. intros zenon_H298 zenon_Ha9 zenon_H15 zenon_H17.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_Haa | zenon_intro zenon_H1a ].
% 0.67/0.88 exact (zenon_Ha9 zenon_Haa).
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H1a); [ zenon_intro zenon_H16 | zenon_intro zenon_H18 ].
% 0.67/0.88 exact (zenon_H15 zenon_H16).
% 0.67/0.88 exact (zenon_H17 zenon_H18).
% 0.67/0.88 (* end of lemma zenon_L285_ *)
% 0.67/0.88 assert (zenon_L286_ : ((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(c2_1 (a7))) -> (c0_1 (a7)) -> (c3_1 (a7)) -> (~(hskp9)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> False).
% 0.67/0.88 do 0 intro. intros zenon_H29 zenon_H5f zenon_Hf4 zenon_H5 zenon_Hb1 zenon_Hc5 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H144 zenon_H1ba.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_Ha. zenon_intro zenon_H2b.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1c. zenon_intro zenon_H1d.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3d | zenon_intro zenon_H59 ].
% 0.67/0.88 apply (zenon_L118_); trivial.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_Ha. zenon_intro zenon_H5b.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H4e. zenon_intro zenon_H5c.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4f. zenon_intro zenon_H50.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1b | zenon_intro zenon_Hf6 ].
% 0.67/0.88 apply (zenon_L10_); trivial.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He9 | zenon_intro zenon_H6 ].
% 0.67/0.88 apply (zenon_L120_); trivial.
% 0.67/0.88 exact (zenon_H5 zenon_H6).
% 0.67/0.88 (* end of lemma zenon_L286_ *)
% 0.67/0.88 assert (zenon_L287_ : ((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (c3_1 (a12)) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(hskp7)) -> False).
% 0.67/0.88 do 0 intro. intros zenon_H59 zenon_Hc5 zenon_H254 zenon_H253 zenon_H252 zenon_Hb1.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_Ha. zenon_intro zenon_H5b.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H4e. zenon_intro zenon_H5c.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4f. zenon_intro zenon_H50.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H4d | zenon_intro zenon_Hc6 ].
% 0.67/0.88 apply (zenon_L21_); trivial.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hb2 ].
% 0.67/0.88 apply (zenon_L200_); trivial.
% 0.67/0.88 exact (zenon_Hb1 zenon_Hb2).
% 0.67/0.88 (* end of lemma zenon_L287_ *)
% 0.67/0.88 assert (zenon_L288_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a37))) -> (c1_1 (a37)) -> (c3_1 (a37)) -> (~(hskp19)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> False).
% 0.67/0.88 do 0 intro. intros zenon_H25b zenon_H5f zenon_Hc5 zenon_Hb1 zenon_H44 zenon_H43 zenon_H42 zenon_H3f zenon_H41.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_Ha. zenon_intro zenon_H25d.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H252. zenon_intro zenon_H25e.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H253. zenon_intro zenon_H254.
% 0.67/0.88 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3d | zenon_intro zenon_H59 ].
% 0.67/0.88 apply (zenon_L20_); trivial.
% 0.67/0.88 apply (zenon_L287_); trivial.
% 0.67/0.88 (* end of lemma zenon_L288_ *)
% 0.67/0.88 assert (zenon_L289_ : ((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a37))) -> (c1_1 (a37)) -> (c3_1 (a37)) -> (~(hskp19)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> False).
% 0.67/0.88 do 0 intro. intros zenon_Hd6 zenon_H260 zenon_H5f zenon_Hc5 zenon_Hb1 zenon_H44 zenon_H43 zenon_H42 zenon_H3f zenon_H41 zenon_H223 zenon_H224 zenon_H225 zenon_H268.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha. zenon_intro zenon_Hd8.
% 0.67/0.88 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcc. zenon_intro zenon_Hd9.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H24e | zenon_intro zenon_H25b ].
% 0.67/0.89 apply (zenon_L207_); trivial.
% 0.67/0.89 apply (zenon_L288_); trivial.
% 0.67/0.89 (* end of lemma zenon_L289_ *)
% 0.67/0.89 assert (zenon_L290_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (ndr1_0) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(c2_1 (a7))) -> (c0_1 (a7)) -> (c3_1 (a7)) -> (~(hskp9)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (~(hskp13)) -> ((hskp21)\/((hskp13)\/(hskp24))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H112 zenon_H23c zenon_H27 zenon_H81 zenon_H232 zenon_H103 zenon_H230 zenon_Ha zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H22e zenon_H2e zenon_H5f zenon_Hf4 zenon_H5 zenon_Hb1 zenon_Hc5 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H144 zenon_H1ba zenon_H15 zenon_H298 zenon_H268 zenon_H225 zenon_H224 zenon_H223 zenon_H41 zenon_H260 zenon_H62 zenon_H19 zenon_H84.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ].
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ].
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ].
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H39 | zenon_intro zenon_H5e ].
% 0.67/0.89 apply (zenon_L174_); trivial.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_Ha. zenon_intro zenon_H60.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H43. zenon_intro zenon_H61.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H42. zenon_intro zenon_H44.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hd6 ].
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ].
% 0.67/0.89 apply (zenon_L285_); trivial.
% 0.67/0.89 apply (zenon_L286_); trivial.
% 0.67/0.89 apply (zenon_L289_); trivial.
% 0.67/0.89 apply (zenon_L175_); trivial.
% 0.67/0.89 apply (zenon_L180_); trivial.
% 0.67/0.89 apply (zenon_L182_); trivial.
% 0.67/0.89 (* end of lemma zenon_L290_ *)
% 0.67/0.89 assert (zenon_L291_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((hskp21)\/((hskp13)\/(hskp24))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a7)) -> (c0_1 (a7)) -> (~(c2_1 (a7))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> (~(hskp0)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H241 zenon_H57 zenon_H5a zenon_H3b zenon_H84 zenon_H19 zenon_H62 zenon_H260 zenon_H41 zenon_H223 zenon_H224 zenon_H225 zenon_H268 zenon_H298 zenon_H1ba zenon_H144 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_Hc5 zenon_Hb1 zenon_H5 zenon_Hf4 zenon_H5f zenon_H2e zenon_H22e zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_Ha zenon_H230 zenon_H103 zenon_H232 zenon_H81 zenon_H27 zenon_H23c zenon_H112.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ].
% 0.67/0.89 apply (zenon_L290_); trivial.
% 0.67/0.89 apply (zenon_L184_); trivial.
% 0.67/0.89 (* end of lemma zenon_L291_ *)
% 0.67/0.89 assert (zenon_L292_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> (~(hskp4)) -> ((hskp16)\/((hskp4)\/(hskp2))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (ndr1_0) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(c2_1 (a7))) -> (c0_1 (a7)) -> (c3_1 (a7)) -> (~(hskp9)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> ((hskp21)\/((hskp13)\/(hskp24))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H1c7 zenon_H24c zenon_H1eb zenon_H3 zenon_H7 zenon_H112 zenon_H23c zenon_H27 zenon_H81 zenon_H232 zenon_H103 zenon_H230 zenon_Ha zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H22e zenon_H2e zenon_H5f zenon_Hf4 zenon_H5 zenon_Hb1 zenon_Hc5 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H144 zenon_H1ba zenon_H298 zenon_H268 zenon_H225 zenon_H224 zenon_H223 zenon_H41 zenon_H260 zenon_H62 zenon_H19 zenon_H84 zenon_H3b zenon_H5a zenon_H241.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c4 ].
% 0.67/0.89 apply (zenon_L291_); trivial.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_Ha. zenon_intro zenon_H1c5.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H88. zenon_intro zenon_H1c6.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H86. zenon_intro zenon_H87.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ].
% 0.67/0.89 apply (zenon_L290_); trivial.
% 0.67/0.89 apply (zenon_L191_); trivial.
% 0.67/0.89 (* end of lemma zenon_L292_ *)
% 0.67/0.89 assert (zenon_L293_ : ((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> (~(c2_1 (a7))) -> (c0_1 (a7)) -> (c3_1 (a7)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H1a2 zenon_H1a1 zenon_H18c zenon_H266 zenon_H1ce zenon_H232 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H225 zenon_H224 zenon_H223 zenon_H26a zenon_H19f zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H1c8 zenon_H103.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ].
% 0.67/0.89 apply (zenon_L125_); trivial.
% 0.67/0.89 apply (zenon_L257_); trivial.
% 0.67/0.89 (* end of lemma zenon_L293_ *)
% 0.67/0.89 assert (zenon_L294_ : ((~(hskp8))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16))))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((hskp21)\/((hskp13)\/(hskp24))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (c3_1 (a7)) -> (c0_1 (a7)) -> (~(c2_1 (a7))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> (~(hskp0)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((hskp16)\/((hskp4)\/(hskp2))) -> (~(hskp4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> (ndr1_0) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> (~(hskp7)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((hskp7)\/(hskp8))) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H1f0 zenon_H1f1 zenon_H1a1 zenon_H18c zenon_H266 zenon_H1ce zenon_H26a zenon_H19f zenon_H1c8 zenon_H241 zenon_H5a zenon_H3b zenon_H84 zenon_H19 zenon_H62 zenon_H260 zenon_H41 zenon_H268 zenon_H298 zenon_H1ba zenon_H1b1 zenon_H1b0 zenon_H1af zenon_Hc5 zenon_H5 zenon_Hf4 zenon_H5f zenon_H2e zenon_H22e zenon_H230 zenon_H103 zenon_H232 zenon_H81 zenon_H27 zenon_H23c zenon_H112 zenon_H7 zenon_H3 zenon_H1eb zenon_H24c zenon_H1c7 zenon_Ha zenon_H223 zenon_H224 zenon_H225 zenon_Hb1 zenon_H22c.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ].
% 0.67/0.89 apply (zenon_L171_); trivial.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.89 apply (zenon_L292_); trivial.
% 0.67/0.89 apply (zenon_L293_); trivial.
% 0.67/0.89 (* end of lemma zenon_L294_ *)
% 0.67/0.89 assert (zenon_L295_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16))))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (c3_1 (a7)) -> (c0_1 (a7)) -> (~(c2_1 (a7))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H1f2 zenon_H1f1 zenon_H1a1 zenon_H18c zenon_H266 zenon_H1ce zenon_H232 zenon_H225 zenon_H224 zenon_H223 zenon_H26a zenon_H19f zenon_H1c8 zenon_H103 zenon_H1ba zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H118 zenon_H119 zenon_H11a zenon_H1f5 zenon_H5f.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.89 apply (zenon_L142_); trivial.
% 0.67/0.89 apply (zenon_L293_); trivial.
% 0.67/0.89 (* end of lemma zenon_L295_ *)
% 0.67/0.89 assert (zenon_L296_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (~(c3_1 (a13))) -> (~(c0_1 (a13))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c1_1 (a13))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> (c3_1 (a18)) -> (~(c1_1 (a18))) -> (~(c0_1 (a18))) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (ndr1_0) -> (~(hskp12)) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H232 zenon_H225 zenon_H224 zenon_H223 zenon_H13b zenon_H139 zenon_H1b zenon_H13a zenon_H26a zenon_H9f zenon_H194 zenon_H9d zenon_H198 zenon_H197 zenon_H196 zenon_Ha zenon_H154.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H222 | zenon_intro zenon_H233 ].
% 0.67/0.89 apply (zenon_L170_); trivial.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H6f ].
% 0.67/0.89 apply (zenon_L272_); trivial.
% 0.67/0.89 apply (zenon_L264_); trivial.
% 0.67/0.89 (* end of lemma zenon_L296_ *)
% 0.67/0.89 assert (zenon_L297_ : ((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (c0_1 (a11)) -> (~(c2_1 (a11))) -> (~(c1_1 (a11))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> (~(c2_1 (a7))) -> (c0_1 (a7)) -> (c3_1 (a7)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H1a2 zenon_H1a1 zenon_H206 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H223 zenon_H224 zenon_H225 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H232 zenon_H19f zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H1c8 zenon_H103.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ].
% 0.67/0.89 apply (zenon_L125_); trivial.
% 0.67/0.89 apply (zenon_L278_); trivial.
% 0.67/0.89 (* end of lemma zenon_L297_ *)
% 0.67/0.89 assert (zenon_L298_ : ((~(hskp8))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16))))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (c0_1 (a11)) -> (~(c2_1 (a11))) -> (~(c1_1 (a11))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((hskp21)\/((hskp13)\/(hskp24))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (c3_1 (a7)) -> (c0_1 (a7)) -> (~(c2_1 (a7))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> (~(hskp0)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((hskp16)\/((hskp4)\/(hskp2))) -> (~(hskp4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> (ndr1_0) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> (~(hskp7)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((hskp7)\/(hskp8))) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H1f0 zenon_H1f1 zenon_H1a1 zenon_H206 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H19f zenon_H1c8 zenon_H241 zenon_H5a zenon_H3b zenon_H84 zenon_H19 zenon_H62 zenon_H260 zenon_H41 zenon_H268 zenon_H298 zenon_H1ba zenon_H1b1 zenon_H1b0 zenon_H1af zenon_Hc5 zenon_H5 zenon_Hf4 zenon_H5f zenon_H2e zenon_H22e zenon_H230 zenon_H103 zenon_H232 zenon_H81 zenon_H27 zenon_H23c zenon_H112 zenon_H7 zenon_H3 zenon_H1eb zenon_H24c zenon_H1c7 zenon_Ha zenon_H223 zenon_H224 zenon_H225 zenon_Hb1 zenon_H22c.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ].
% 0.67/0.89 apply (zenon_L171_); trivial.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.89 apply (zenon_L292_); trivial.
% 0.67/0.89 apply (zenon_L297_); trivial.
% 0.67/0.89 (* end of lemma zenon_L298_ *)
% 0.67/0.89 assert (zenon_L299_ : ((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (~(hskp0)) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H191 zenon_H206 zenon_H27 zenon_H223 zenon_H224 zenon_H225 zenon_H23c zenon_H1fd zenon_H1fe zenon_H1ff.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H207 ].
% 0.67/0.89 apply (zenon_L143_); trivial.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H64 | zenon_intro zenon_H1fc ].
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H222 | zenon_intro zenon_H23d ].
% 0.67/0.89 apply (zenon_L170_); trivial.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H9c | zenon_intro zenon_H28 ].
% 0.67/0.89 apply (zenon_L41_); trivial.
% 0.67/0.89 exact (zenon_H27 zenon_H28).
% 0.67/0.89 apply (zenon_L144_); trivial.
% 0.67/0.89 (* end of lemma zenon_L299_ *)
% 0.67/0.89 assert (zenon_L300_ : ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c0_1 (a19))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))) -> (ndr1_0) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (c2_1 (a21)) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H1eb zenon_H88 zenon_H87 zenon_H86 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H8f zenon_Ha zenon_H30 zenon_H31 zenon_H32.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H85 | zenon_intro zenon_H1ee ].
% 0.67/0.89 apply (zenon_L35_); trivial.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e0 ].
% 0.67/0.89 apply (zenon_L136_); trivial.
% 0.67/0.89 apply (zenon_L189_); trivial.
% 0.67/0.89 (* end of lemma zenon_L300_ *)
% 0.67/0.89 assert (zenon_L301_ : ((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c0_1 (a19))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (c2_1 (a21)) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H18e zenon_H28c zenon_H225 zenon_H224 zenon_H223 zenon_H1eb zenon_H88 zenon_H87 zenon_H86 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H30 zenon_H31 zenon_H32.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15a. zenon_intro zenon_H190.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H222 | zenon_intro zenon_H28d ].
% 0.67/0.89 apply (zenon_L170_); trivial.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H158 | zenon_intro zenon_H8f ].
% 0.67/0.89 apply (zenon_L90_); trivial.
% 0.67/0.89 apply (zenon_L300_); trivial.
% 0.67/0.89 (* end of lemma zenon_L301_ *)
% 0.67/0.89 assert (zenon_L302_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(c0_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> (~(hskp12)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp22)\/(hskp12))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((hskp21)\/((hskp13)\/(hskp24))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a7)) -> (c0_1 (a7)) -> (~(c2_1 (a7))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> (~(hskp0)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H241 zenon_H18d zenon_H28c zenon_H86 zenon_H87 zenon_H88 zenon_H1eb zenon_H149 zenon_H14a zenon_H14b zenon_H154 zenon_H156 zenon_H84 zenon_H19 zenon_H62 zenon_H260 zenon_H41 zenon_H223 zenon_H224 zenon_H225 zenon_H268 zenon_H298 zenon_H1ba zenon_H144 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_Hc5 zenon_Hb1 zenon_H5 zenon_Hf4 zenon_H5f zenon_H2e zenon_H22e zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_Ha zenon_H230 zenon_H103 zenon_H232 zenon_H81 zenon_H27 zenon_H23c zenon_H112.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ].
% 0.67/0.89 apply (zenon_L290_); trivial.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H23f.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H31. zenon_intro zenon_H240.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H32. zenon_intro zenon_H30.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ].
% 0.67/0.89 apply (zenon_L89_); trivial.
% 0.67/0.89 apply (zenon_L301_); trivial.
% 0.67/0.89 (* end of lemma zenon_L302_ *)
% 0.67/0.89 assert (zenon_L303_ : (forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48)))))) -> (ndr1_0) -> (forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21)))))) -> (~(c1_1 (a20))) -> (c2_1 (a20)) -> (~(c3_1 (a20))) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H85 zenon_Ha zenon_H158 zenon_H17e zenon_H180 zenon_H17f.
% 0.67/0.89 generalize (zenon_H85 (a20)). zenon_intro zenon_H299.
% 0.67/0.89 apply (zenon_imply_s _ _ zenon_H299); [ zenon_intro zenon_H9 | zenon_intro zenon_H29a ].
% 0.67/0.89 exact (zenon_H9 zenon_Ha).
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H29b | zenon_intro zenon_H183 ].
% 0.67/0.89 generalize (zenon_H158 (a20)). zenon_intro zenon_H29c.
% 0.67/0.89 apply (zenon_imply_s _ _ zenon_H29c); [ zenon_intro zenon_H9 | zenon_intro zenon_H29d ].
% 0.67/0.89 exact (zenon_H9 zenon_Ha).
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H29d); [ zenon_intro zenon_H184 | zenon_intro zenon_H29e ].
% 0.67/0.89 exact (zenon_H17e zenon_H184).
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H29f | zenon_intro zenon_H185 ].
% 0.67/0.89 exact (zenon_H29f zenon_H29b).
% 0.67/0.89 exact (zenon_H185 zenon_H180).
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H186 | zenon_intro zenon_H185 ].
% 0.67/0.89 exact (zenon_H17f zenon_H186).
% 0.67/0.89 exact (zenon_H185 zenon_H180).
% 0.67/0.89 (* end of lemma zenon_L303_ *)
% 0.67/0.89 assert (zenon_L304_ : ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp27)\/(hskp16))) -> (c3_1 (a7)) -> (~(c2_1 (a7))) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4)))))) -> (c0_1 (a7)) -> (ndr1_0) -> (~(hskp27)) -> (~(hskp16)) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H2a0 zenon_H1b1 zenon_H1af zenon_He9 zenon_H1b0 zenon_Ha zenon_H24e zenon_H1.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H2a1 ].
% 0.67/0.89 apply (zenon_L119_); trivial.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H24f | zenon_intro zenon_H2 ].
% 0.67/0.89 exact (zenon_H24e zenon_H24f).
% 0.67/0.89 exact (zenon_H1 zenon_H2).
% 0.67/0.89 (* end of lemma zenon_L304_ *)
% 0.67/0.89 assert (zenon_L305_ : ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> (~(c3_1 (a20))) -> (c2_1 (a20)) -> (~(c1_1 (a20))) -> (forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21)))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(hskp16)) -> (~(hskp27)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp27)\/(hskp16))) -> (c3_1 (a7)) -> (c0_1 (a7)) -> (~(c2_1 (a7))) -> (ndr1_0) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (c2_1 (a21)) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H1eb zenon_H17f zenon_H180 zenon_H17e zenon_H158 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H24c zenon_H1 zenon_H24e zenon_H2a0 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_Ha zenon_H30 zenon_H31 zenon_H32.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H85 | zenon_intro zenon_H1ee ].
% 0.67/0.89 apply (zenon_L303_); trivial.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e0 ].
% 0.67/0.89 apply (zenon_L136_); trivial.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_He9 | zenon_intro zenon_H24d ].
% 0.67/0.89 apply (zenon_L304_); trivial.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1ae | zenon_intro zenon_H8f ].
% 0.67/0.89 apply (zenon_L116_); trivial.
% 0.67/0.89 apply (zenon_L189_); trivial.
% 0.67/0.89 (* end of lemma zenon_L305_ *)
% 0.67/0.89 assert (zenon_L306_ : ((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(c0_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp27)\/(hskp16))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((hskp21)\/((hskp13)\/(hskp24))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a7)) -> (c0_1 (a7)) -> (~(c2_1 (a7))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> (~(hskp0)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H189 zenon_H241 zenon_H28c zenon_H86 zenon_H87 zenon_H88 zenon_H24c zenon_H2a0 zenon_H1eb zenon_H84 zenon_H19 zenon_H62 zenon_H260 zenon_H41 zenon_H223 zenon_H224 zenon_H225 zenon_H268 zenon_H298 zenon_H1ba zenon_H144 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_Hc5 zenon_Hb1 zenon_H5 zenon_Hf4 zenon_H5f zenon_H2e zenon_H22e zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H230 zenon_H103 zenon_H232 zenon_H81 zenon_H27 zenon_H23c zenon_H112.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_Ha. zenon_intro zenon_H18a.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H180. zenon_intro zenon_H18b.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17e. zenon_intro zenon_H17f.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ].
% 0.67/0.89 apply (zenon_L290_); trivial.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H23f.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H31. zenon_intro zenon_H240.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H32. zenon_intro zenon_H30.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ].
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ].
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ].
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H39 | zenon_intro zenon_H5e ].
% 0.67/0.89 apply (zenon_L174_); trivial.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_Ha. zenon_intro zenon_H60.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H43. zenon_intro zenon_H61.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H42. zenon_intro zenon_H44.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H24e | zenon_intro zenon_H25b ].
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H222 | zenon_intro zenon_H28d ].
% 0.67/0.89 apply (zenon_L170_); trivial.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H158 | zenon_intro zenon_H8f ].
% 0.67/0.89 apply (zenon_L305_); trivial.
% 0.67/0.89 apply (zenon_L300_); trivial.
% 0.67/0.89 apply (zenon_L288_); trivial.
% 0.67/0.89 apply (zenon_L175_); trivial.
% 0.67/0.89 apply (zenon_L190_); trivial.
% 0.67/0.89 apply (zenon_L182_); trivial.
% 0.67/0.89 (* end of lemma zenon_L306_ *)
% 0.67/0.89 assert (zenon_L307_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp27)\/(hskp16))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp22)\/(hskp12))) -> (c0_1 (a9)) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (ndr1_0) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(c2_1 (a7))) -> (c0_1 (a7)) -> (c3_1 (a7)) -> (~(hskp9)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> ((hskp21)\/((hskp13)\/(hskp24))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H1c7 zenon_H18c zenon_H24c zenon_H2a0 zenon_H156 zenon_H14b zenon_H14a zenon_H149 zenon_H1eb zenon_H28c zenon_H18d zenon_H112 zenon_H23c zenon_H27 zenon_H81 zenon_H232 zenon_H103 zenon_H230 zenon_Ha zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H22e zenon_H2e zenon_H5f zenon_Hf4 zenon_H5 zenon_Hb1 zenon_Hc5 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H144 zenon_H1ba zenon_H298 zenon_H268 zenon_H225 zenon_H224 zenon_H223 zenon_H41 zenon_H260 zenon_H62 zenon_H19 zenon_H84 zenon_H3b zenon_H5a zenon_H241.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c4 ].
% 0.67/0.89 apply (zenon_L291_); trivial.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_Ha. zenon_intro zenon_H1c5.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H88. zenon_intro zenon_H1c6.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H86. zenon_intro zenon_H87.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H154 | zenon_intro zenon_H189 ].
% 0.67/0.89 apply (zenon_L302_); trivial.
% 0.67/0.89 apply (zenon_L306_); trivial.
% 0.67/0.89 (* end of lemma zenon_L307_ *)
% 0.67/0.89 assert (zenon_L308_ : ((ndr1_0)/\((c1_1 (a14))/\((~(c0_1 (a14)))/\(~(c2_1 (a14)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16))))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (c3_1 (a7)) -> (c0_1 (a7)) -> (~(c2_1 (a7))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H21f zenon_H1f1 zenon_H1a1 zenon_H18c zenon_H266 zenon_H1ce zenon_H225 zenon_H224 zenon_H223 zenon_H26a zenon_H149 zenon_H14a zenon_H14b zenon_H1a7 zenon_H19f zenon_H1c8 zenon_H103 zenon_H1ba zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H1f5 zenon_H5f.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.89 apply (zenon_L142_); trivial.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ].
% 0.67/0.89 apply (zenon_L125_); trivial.
% 0.67/0.89 apply (zenon_L265_); trivial.
% 0.67/0.89 (* end of lemma zenon_L308_ *)
% 0.67/0.89 assert (zenon_L309_ : ((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (c0_1 (a11)) -> (~(c2_1 (a11))) -> (~(c1_1 (a11))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> (~(c2_1 (a7))) -> (c0_1 (a7)) -> (c3_1 (a7)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H1a2 zenon_H1a1 zenon_H206 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H118 zenon_H119 zenon_H11a zenon_H149 zenon_H14a zenon_H14b zenon_H1a7 zenon_H19f zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H1c8 zenon_H103.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ].
% 0.67/0.89 apply (zenon_L125_); trivial.
% 0.67/0.89 apply (zenon_L282_); trivial.
% 0.67/0.89 (* end of lemma zenon_L309_ *)
% 0.67/0.89 assert (zenon_L310_ : ((ndr1_0)/\((c1_1 (a14))/\((~(c0_1 (a14)))/\(~(c2_1 (a14)))))) -> ((~(hskp8))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> (~(c2_1 (a7))) -> (c0_1 (a7)) -> (c3_1 (a7)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (c0_1 (a9)) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16))))))) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H21f zenon_H1f0 zenon_H1c8 zenon_H112 zenon_H23c zenon_H27 zenon_H81 zenon_H230 zenon_H22e zenon_H41 zenon_H62 zenon_H19 zenon_H232 zenon_H5 zenon_Hf4 zenon_H2e zenon_H84 zenon_H3b zenon_H241 zenon_H5f zenon_H1f5 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H1ba zenon_H103 zenon_H260 zenon_H1cc zenon_H223 zenon_H224 zenon_H225 zenon_H268 zenon_H19f zenon_H1a7 zenon_H14b zenon_H14a zenon_H149 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H206 zenon_H1a1 zenon_H1f1.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ].
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.89 apply (zenon_L142_); trivial.
% 0.67/0.89 apply (zenon_L283_); trivial.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.89 apply (zenon_L269_); trivial.
% 0.67/0.89 apply (zenon_L309_); trivial.
% 0.67/0.89 (* end of lemma zenon_L310_ *)
% 0.67/0.89 assert (zenon_L311_ : ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> (c1_1 (a3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> (ndr1_0) -> (~(hskp7)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> (~(hskp3)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H2e zenon_H2a zenon_H27 zenon_H5f zenon_H214 zenon_Hc5 zenon_H1ba zenon_H144 zenon_H20a zenon_H209 zenon_Ha zenon_Hb1 zenon_He7 zenon_H25 zenon_H6d zenon_He6.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ].
% 0.67/0.89 apply (zenon_L156_); trivial.
% 0.67/0.89 apply (zenon_L13_); trivial.
% 0.67/0.89 (* end of lemma zenon_L311_ *)
% 0.67/0.89 assert (zenon_L312_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (ndr1_0) -> (~(hskp12)) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H26a zenon_H209 zenon_H20a zenon_H214 zenon_H1c8 zenon_H198 zenon_H197 zenon_H196 zenon_Ha zenon_H154.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H64 | zenon_intro zenon_H26b ].
% 0.67/0.89 apply (zenon_L160_); trivial.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H195 | zenon_intro zenon_H155 ].
% 0.67/0.89 apply (zenon_L106_); trivial.
% 0.67/0.89 exact (zenon_H154 zenon_H155).
% 0.67/0.89 (* end of lemma zenon_L312_ *)
% 0.67/0.89 assert (zenon_L313_ : ((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16)))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H1a2 zenon_H18c zenon_H266 zenon_H1ce zenon_H225 zenon_H224 zenon_H223 zenon_H1c8 zenon_H214 zenon_H20a zenon_H209 zenon_H26a.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H154 | zenon_intro zenon_H189 ].
% 0.67/0.89 apply (zenon_L312_); trivial.
% 0.67/0.89 apply (zenon_L219_); trivial.
% 0.67/0.89 (* end of lemma zenon_L313_ *)
% 0.67/0.89 assert (zenon_L314_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> (ndr1_0) -> (~(hskp13)) -> (~(hskp14)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp13)\/(hskp14))) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H5f zenon_H1f5 zenon_H11a zenon_H119 zenon_H118 zenon_H1ba zenon_H144 zenon_H20a zenon_H209 zenon_Ha zenon_H15 zenon_Hd4 zenon_H2a2.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3d | zenon_intro zenon_H59 ].
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H64 | zenon_intro zenon_H2a3 ].
% 0.67/0.89 apply (zenon_L151_); trivial.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H16 | zenon_intro zenon_Hd5 ].
% 0.67/0.89 exact (zenon_H15 zenon_H16).
% 0.67/0.89 exact (zenon_Hd4 zenon_Hd5).
% 0.67/0.89 apply (zenon_L141_); trivial.
% 0.67/0.89 (* end of lemma zenon_L314_ *)
% 0.67/0.89 assert (zenon_L315_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> (~(hskp0)) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp13)\/(hskp14))) -> (~(hskp13)) -> (ndr1_0) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (~(hskp9)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H112 zenon_H23c zenon_H27 zenon_H225 zenon_H224 zenon_H223 zenon_H2a2 zenon_H15 zenon_Ha zenon_H209 zenon_H20a zenon_H144 zenon_H1ba zenon_H118 zenon_H119 zenon_H11a zenon_H1f5 zenon_H5f.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ].
% 0.67/0.89 apply (zenon_L314_); trivial.
% 0.67/0.89 apply (zenon_L182_); trivial.
% 0.67/0.89 (* end of lemma zenon_L315_ *)
% 0.67/0.89 assert (zenon_L316_ : ((ndr1_0)/\((c1_1 (a14))/\((~(c0_1 (a14)))/\(~(c2_1 (a14)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c1_1 (a3)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> (~(hskp0)) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp13)\/(hskp14))) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp5))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H21f zenon_H1f1 zenon_H18c zenon_H1c8 zenon_H214 zenon_H26a zenon_H112 zenon_H23c zenon_H27 zenon_H225 zenon_H224 zenon_H223 zenon_H2a2 zenon_H209 zenon_H20a zenon_H1ba zenon_H1f5 zenon_H5f zenon_H1ce zenon_H266 zenon_H241.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ].
% 0.67/0.89 apply (zenon_L315_); trivial.
% 0.67/0.89 apply (zenon_L205_); trivial.
% 0.67/0.89 apply (zenon_L313_); trivial.
% 0.67/0.89 (* end of lemma zenon_L316_ *)
% 0.67/0.89 assert (zenon_L317_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp13)\/(hskp14))) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (ndr1_0) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (~(hskp13)) -> (~(hskp14)) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H2a2 zenon_H198 zenon_H197 zenon_H196 zenon_Ha zenon_H209 zenon_H20a zenon_H214 zenon_H1c8 zenon_H15 zenon_Hd4.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H64 | zenon_intro zenon_H2a3 ].
% 0.67/0.89 apply (zenon_L160_); trivial.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H16 | zenon_intro zenon_Hd5 ].
% 0.67/0.89 exact (zenon_H15 zenon_H16).
% 0.67/0.89 exact (zenon_Hd4 zenon_Hd5).
% 0.67/0.89 (* end of lemma zenon_L317_ *)
% 0.67/0.89 assert (zenon_L318_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a22))) -> (c2_1 (a22)) -> (c3_1 (a22)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (~(hskp3)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3))) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H25b zenon_H174 zenon_H1b8 zenon_H57 zenon_Hf8 zenon_Hf9 zenon_Hfa zenon_H17b zenon_H209 zenon_H20a zenon_H214 zenon_H196 zenon_H197 zenon_H198 zenon_H1c8 zenon_H25 zenon_H27b.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_Ha. zenon_intro zenon_H25d.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H252. zenon_intro zenon_H25e.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H253. zenon_intro zenon_H254.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H162 | zenon_intro zenon_H175 ].
% 0.67/0.89 apply (zenon_L240_); trivial.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H177.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H167. zenon_intro zenon_H168.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H64 | zenon_intro zenon_H1b9 ].
% 0.67/0.89 apply (zenon_L160_); trivial.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1ae | zenon_intro zenon_H58 ].
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H9c | zenon_intro zenon_H17c ].
% 0.67/0.89 apply (zenon_L61_); trivial.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H178 | zenon_intro zenon_H63 ].
% 0.67/0.89 apply (zenon_L98_); trivial.
% 0.67/0.89 apply (zenon_L243_); trivial.
% 0.67/0.89 exact (zenon_H57 zenon_H58).
% 0.67/0.89 (* end of lemma zenon_L318_ *)
% 0.67/0.89 assert (zenon_L319_ : ((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (~(hskp3)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> (~(hskp10)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H10f zenon_H103 zenon_H260 zenon_H174 zenon_H1b8 zenon_H57 zenon_H17b zenon_H209 zenon_H20a zenon_H214 zenon_H1c8 zenon_H25 zenon_H27b zenon_H223 zenon_H224 zenon_H225 zenon_H268 zenon_H196 zenon_H197 zenon_H198 zenon_H79 zenon_H19f.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha. zenon_intro zenon_H110.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Hf9. zenon_intro zenon_H111.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_Hfa. zenon_intro zenon_Hf8.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hd6 ].
% 0.67/0.89 apply (zenon_L107_); trivial.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha. zenon_intro zenon_Hd8.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcc. zenon_intro zenon_Hd9.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H24e | zenon_intro zenon_H25b ].
% 0.67/0.89 apply (zenon_L207_); trivial.
% 0.67/0.89 apply (zenon_L318_); trivial.
% 0.67/0.89 (* end of lemma zenon_L319_ *)
% 0.67/0.89 assert (zenon_L320_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (~(hskp14)) -> (~(hskp16)) -> (ndr1_0) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> (~(hskp10)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H103 zenon_H230 zenon_Hd4 zenon_H1 zenon_Ha zenon_H196 zenon_H197 zenon_H198 zenon_H79 zenon_H19f.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hd6 ].
% 0.67/0.89 apply (zenon_L107_); trivial.
% 0.67/0.89 apply (zenon_L173_); trivial.
% 0.67/0.89 (* end of lemma zenon_L320_ *)
% 0.67/0.89 assert (zenon_L321_ : ((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (~(hskp3)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> (~(hskp10)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> (~(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H23e zenon_H112 zenon_H260 zenon_H174 zenon_H17b zenon_H1c8 zenon_H25 zenon_H27b zenon_H268 zenon_H103 zenon_H230 zenon_H196 zenon_H197 zenon_H198 zenon_H79 zenon_H19f zenon_H62 zenon_H5f zenon_H5a zenon_H57 zenon_H41 zenon_H3b zenon_H223 zenon_H224 zenon_H225 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H232 zenon_H81 zenon_H84.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H23f.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H31. zenon_intro zenon_H240.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H32. zenon_intro zenon_H30.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ].
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ].
% 0.67/0.89 apply (zenon_L320_); trivial.
% 0.67/0.89 apply (zenon_L183_); trivial.
% 0.67/0.89 apply (zenon_L247_); trivial.
% 0.67/0.89 (* end of lemma zenon_L321_ *)
% 0.67/0.89 assert (zenon_L322_ : ((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H191 zenon_H206 zenon_H198 zenon_H197 zenon_H196 zenon_H209 zenon_H20a zenon_H214 zenon_H1c8 zenon_H1fd zenon_H1fe zenon_H1ff.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H207 ].
% 0.67/0.89 apply (zenon_L143_); trivial.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H64 | zenon_intro zenon_H1fc ].
% 0.67/0.89 apply (zenon_L160_); trivial.
% 0.67/0.89 apply (zenon_L144_); trivial.
% 0.67/0.89 (* end of lemma zenon_L322_ *)
% 0.67/0.89 assert (zenon_L323_ : ((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (c0_1 (a11)) -> (~(c2_1 (a11))) -> (~(c1_1 (a11))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp13)\/(hskp14))) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3))) -> (~(hskp3)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H1a2 zenon_H1a1 zenon_H206 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H241 zenon_H230 zenon_H62 zenon_H5f zenon_H5a zenon_H41 zenon_H3b zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H232 zenon_H81 zenon_H84 zenon_H2a2 zenon_H209 zenon_H20a zenon_H214 zenon_H1c8 zenon_H19f zenon_H268 zenon_H225 zenon_H224 zenon_H223 zenon_H27b zenon_H25 zenon_H17b zenon_H1b8 zenon_H174 zenon_H260 zenon_H103 zenon_H112 zenon_H1d4 zenon_H1eb zenon_H1ef zenon_H1c7.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ].
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c4 ].
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ].
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ].
% 0.67/0.89 apply (zenon_L317_); trivial.
% 0.67/0.89 apply (zenon_L319_); trivial.
% 0.67/0.89 apply (zenon_L321_); trivial.
% 0.67/0.89 apply (zenon_L253_); trivial.
% 0.67/0.89 apply (zenon_L322_); trivial.
% 0.67/0.89 (* end of lemma zenon_L323_ *)
% 0.67/0.89 assert (zenon_L324_ : ((~(hskp8))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16))))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (c0_1 (a11)) -> (~(c2_1 (a11))) -> (~(c1_1 (a11))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp13)\/(hskp14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (c1_1 (a3)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> (ndr1_0) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> (~(hskp7)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((hskp7)\/(hskp8))) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H1f0 zenon_H1f1 zenon_H1a1 zenon_H206 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H241 zenon_H230 zenon_H62 zenon_H5a zenon_H41 zenon_H3b zenon_H232 zenon_H81 zenon_H84 zenon_H2a2 zenon_H1c8 zenon_H19f zenon_H268 zenon_H27b zenon_H17b zenon_H1b8 zenon_H174 zenon_H260 zenon_H103 zenon_H112 zenon_H1d4 zenon_H1eb zenon_H1ef zenon_H1c7 zenon_He6 zenon_H6d zenon_H25 zenon_He7 zenon_H209 zenon_H20a zenon_H1ba zenon_Hc5 zenon_H214 zenon_H5f zenon_H27 zenon_H2a zenon_H2e zenon_Ha zenon_H223 zenon_H224 zenon_H225 zenon_Hb1 zenon_H22c.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ].
% 0.67/0.89 apply (zenon_L171_); trivial.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.89 apply (zenon_L311_); trivial.
% 0.67/0.89 apply (zenon_L323_); trivial.
% 0.67/0.89 (* end of lemma zenon_L324_ *)
% 0.67/0.89 assert (zenon_L325_ : ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(hskp14)) -> (~(hskp16)) -> (ndr1_0) -> (~(c2_1 (a3))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (~(hskp29)) -> (~(hskp19)) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H41 zenon_Hd4 zenon_H1 zenon_Ha zenon_H209 zenon_H214 zenon_H20a zenon_H230 zenon_H3d zenon_H3f.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H46 | zenon_intro zenon_H45 ].
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_Hca | zenon_intro zenon_H231 ].
% 0.67/0.89 generalize (zenon_Hca (a3)). zenon_intro zenon_H21b.
% 0.67/0.89 apply (zenon_imply_s _ _ zenon_H21b); [ zenon_intro zenon_H9 | zenon_intro zenon_H21c ].
% 0.67/0.89 exact (zenon_H9 zenon_Ha).
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H210 | zenon_intro zenon_H21d ].
% 0.67/0.89 exact (zenon_H209 zenon_H210).
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H208 | zenon_intro zenon_H218 ].
% 0.67/0.89 generalize (zenon_H46 (a3)). zenon_intro zenon_H2a4.
% 0.67/0.89 apply (zenon_imply_s _ _ zenon_H2a4); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a5 ].
% 0.67/0.89 exact (zenon_H9 zenon_Ha).
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H20e | zenon_intro zenon_H217 ].
% 0.67/0.89 exact (zenon_H208 zenon_H20e).
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H218 | zenon_intro zenon_H20f ].
% 0.67/0.89 exact (zenon_H218 zenon_H214).
% 0.67/0.89 exact (zenon_H20f zenon_H20a).
% 0.67/0.89 exact (zenon_H218 zenon_H214).
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H2 | zenon_intro zenon_Hd5 ].
% 0.67/0.89 exact (zenon_H1 zenon_H2).
% 0.67/0.89 exact (zenon_Hd4 zenon_Hd5).
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H3e | zenon_intro zenon_H40 ].
% 0.67/0.89 exact (zenon_H3d zenon_H3e).
% 0.67/0.89 exact (zenon_H3f zenon_H40).
% 0.67/0.89 (* end of lemma zenon_L325_ *)
% 0.67/0.89 assert (zenon_L326_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (~(hskp14)) -> (~(hskp16)) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(c2_1 (a3))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H5f zenon_H1f5 zenon_H144 zenon_H11a zenon_H119 zenon_H118 zenon_H230 zenon_Hd4 zenon_H1 zenon_H20a zenon_H214 zenon_H209 zenon_Ha zenon_H3f zenon_H41.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3d | zenon_intro zenon_H59 ].
% 0.67/0.89 apply (zenon_L325_); trivial.
% 0.67/0.89 apply (zenon_L141_); trivial.
% 0.67/0.89 (* end of lemma zenon_L326_ *)
% 0.67/0.89 assert (zenon_L327_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp9)) -> (~(hskp29)) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (c3_1 (a36)) -> (c2_1 (a36)) -> (~(c1_1 (a36))) -> (ndr1_0) -> (~(hskp10)) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H7b zenon_H144 zenon_H3d zenon_H209 zenon_H20a zenon_H1ba zenon_H72 zenon_H71 zenon_H70 zenon_Ha zenon_H79.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H64 | zenon_intro zenon_H7c ].
% 0.67/0.89 apply (zenon_L151_); trivial.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H6f | zenon_intro zenon_H7a ].
% 0.67/0.89 apply (zenon_L28_); trivial.
% 0.67/0.89 exact (zenon_H79 zenon_H7a).
% 0.67/0.89 (* end of lemma zenon_L327_ *)
% 0.67/0.89 assert (zenon_L328_ : ((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> (~(hskp10)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H7d zenon_H5f zenon_H1f5 zenon_H11a zenon_H119 zenon_H118 zenon_H1ba zenon_H144 zenon_H20a zenon_H209 zenon_H79 zenon_H7b.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_Ha. zenon_intro zenon_H7e.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H71. zenon_intro zenon_H7f.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H72. zenon_intro zenon_H70.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3d | zenon_intro zenon_H59 ].
% 0.67/0.89 apply (zenon_L327_); trivial.
% 0.67/0.89 apply (zenon_L141_); trivial.
% 0.67/0.89 (* end of lemma zenon_L328_ *)
% 0.67/0.89 assert (zenon_L329_ : ((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> (~(hskp10)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> (c2_1 (a21)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> (~(hskp9)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H80 zenon_H81 zenon_H1ba zenon_H20a zenon_H209 zenon_H79 zenon_H7b zenon_H3b zenon_H32 zenon_H31 zenon_H30 zenon_H41 zenon_H118 zenon_H119 zenon_H11a zenon_H144 zenon_H1f5 zenon_H5f zenon_H62.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H82.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Hd. zenon_intro zenon_H83.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ].
% 0.67/0.89 apply (zenon_L195_); trivial.
% 0.67/0.89 apply (zenon_L328_); trivial.
% 0.67/0.89 (* end of lemma zenon_L329_ *)
% 0.67/0.89 assert (zenon_L330_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> (c2_1 (a21)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(c2_1 (a3))) -> (ndr1_0) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H84 zenon_H3b zenon_H32 zenon_H31 zenon_H30 zenon_H62 zenon_H5f zenon_H1f5 zenon_H144 zenon_H11a zenon_H119 zenon_H118 zenon_H230 zenon_Hd4 zenon_H20a zenon_H214 zenon_H209 zenon_Ha zenon_H41 zenon_H7b zenon_H79 zenon_H1ba zenon_H81.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ].
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ].
% 0.67/0.89 apply (zenon_L326_); trivial.
% 0.67/0.89 apply (zenon_L328_); trivial.
% 0.67/0.89 apply (zenon_L329_); trivial.
% 0.67/0.89 (* end of lemma zenon_L330_ *)
% 0.67/0.89 assert (zenon_L331_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (c3_1 (a18)) -> (~(c1_1 (a18))) -> (~(c0_1 (a18))) -> (~(hskp9)) -> (~(hskp29)) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (ndr1_0) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H206 zenon_H9f zenon_H194 zenon_H9d zenon_H144 zenon_H3d zenon_H209 zenon_H20a zenon_H1ba zenon_Ha zenon_H1fd zenon_H1fe zenon_H1ff.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H207 ].
% 0.67/0.89 apply (zenon_L143_); trivial.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H64 | zenon_intro zenon_H1fc ].
% 0.67/0.89 apply (zenon_L151_); trivial.
% 0.67/0.89 apply (zenon_L144_); trivial.
% 0.67/0.89 (* end of lemma zenon_L331_ *)
% 0.67/0.89 assert (zenon_L332_ : ((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H191 zenon_H5f zenon_H1f5 zenon_H11a zenon_H119 zenon_H118 zenon_H1ba zenon_H144 zenon_H20a zenon_H209 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H206.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3d | zenon_intro zenon_H59 ].
% 0.67/0.89 apply (zenon_L331_); trivial.
% 0.67/0.89 apply (zenon_L141_); trivial.
% 0.67/0.89 (* end of lemma zenon_L332_ *)
% 0.67/0.89 assert (zenon_L333_ : ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> (~(hskp0)) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp13)\/(hskp14))) -> (ndr1_0) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (~(hskp9)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (c1_1 (a3)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H1a1 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H206 zenon_H112 zenon_H23c zenon_H27 zenon_H225 zenon_H224 zenon_H223 zenon_H2a2 zenon_Ha zenon_H209 zenon_H20a zenon_H144 zenon_H1ba zenon_H118 zenon_H119 zenon_H11a zenon_H1f5 zenon_H5f zenon_H84 zenon_H3b zenon_H62 zenon_H230 zenon_H214 zenon_H41 zenon_H7b zenon_H81 zenon_H241.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ].
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ].
% 0.67/0.89 apply (zenon_L315_); trivial.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H23f.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H31. zenon_intro zenon_H240.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H32. zenon_intro zenon_H30.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ].
% 0.67/0.89 apply (zenon_L330_); trivial.
% 0.67/0.89 apply (zenon_L182_); trivial.
% 0.67/0.89 apply (zenon_L332_); trivial.
% 0.67/0.89 (* end of lemma zenon_L333_ *)
% 0.67/0.89 assert (zenon_L334_ : ((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (c0_1 (a11)) -> (~(c2_1 (a11))) -> (~(c1_1 (a11))) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H1a2 zenon_H1a1 zenon_H206 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H209 zenon_H20a zenon_H214 zenon_H1c8 zenon_H19f zenon_H268 zenon_H225 zenon_H224 zenon_H223 zenon_H1ca zenon_H1cc zenon_H260 zenon_H103.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ].
% 0.67/0.89 apply (zenon_L210_); trivial.
% 0.67/0.89 apply (zenon_L322_); trivial.
% 0.67/0.89 (* end of lemma zenon_L334_ *)
% 0.67/0.89 assert (zenon_L335_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (~(hskp14)) -> (~(hskp16)) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(c2_1 (a3))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H5f zenon_H5a zenon_H57 zenon_H230 zenon_Hd4 zenon_H1 zenon_H20a zenon_H214 zenon_H209 zenon_Ha zenon_H3f zenon_H41.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3d | zenon_intro zenon_H59 ].
% 0.67/0.89 apply (zenon_L325_); trivial.
% 0.67/0.89 apply (zenon_L23_); trivial.
% 0.67/0.89 (* end of lemma zenon_L335_ *)
% 0.67/0.89 assert (zenon_L336_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (ndr1_0) -> (~(c2_1 (a3))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(hskp16)) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H81 zenon_H232 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H225 zenon_H224 zenon_H223 zenon_H41 zenon_Ha zenon_H209 zenon_H214 zenon_H20a zenon_H1 zenon_Hd4 zenon_H230 zenon_H57 zenon_H5a zenon_H5f.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ].
% 0.67/0.89 apply (zenon_L335_); trivial.
% 0.67/0.89 apply (zenon_L175_); trivial.
% 0.67/0.89 (* end of lemma zenon_L336_ *)
% 0.67/0.89 assert (zenon_L337_ : ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a27)) -> (~(c1_1 (a27))) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(c2_1 (a3))) -> (ndr1_0) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (c2_1 (a25)) -> (c3_1 (a25)) -> (c1_1 (a25)) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H2a6 zenon_He zenon_Hc zenon_H6f zenon_H20a zenon_H214 zenon_H209 zenon_Ha zenon_H9c zenon_Hb4 zenon_Hb5 zenon_Hb3.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_He9 | zenon_intro zenon_H2a7 ].
% 0.67/0.89 apply (zenon_L177_); trivial.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_Hea | zenon_intro zenon_Hc1 ].
% 0.67/0.89 apply (zenon_L157_); trivial.
% 0.67/0.89 apply (zenon_L48_); trivial.
% 0.67/0.89 (* end of lemma zenon_L337_ *)
% 0.67/0.89 assert (zenon_L338_ : ((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (~(hskp9)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (c1_1 (a3)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H80 zenon_He6 zenon_H23c zenon_H27 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H2a6 zenon_H232 zenon_H225 zenon_H224 zenon_H223 zenon_He7 zenon_Hb1 zenon_H209 zenon_H20a zenon_H144 zenon_H1ba zenon_Hc5 zenon_H214 zenon_H5f.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H82.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Hd. zenon_intro zenon_H83.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ].
% 0.67/0.89 apply (zenon_L155_); trivial.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Ha. zenon_intro zenon_Hc8.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb3. zenon_intro zenon_Hc9.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H222 | zenon_intro zenon_H23d ].
% 0.67/0.89 apply (zenon_L170_); trivial.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H9c | zenon_intro zenon_H28 ].
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H222 | zenon_intro zenon_H233 ].
% 0.67/0.89 apply (zenon_L170_); trivial.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H6f ].
% 0.67/0.89 apply (zenon_L136_); trivial.
% 0.67/0.89 apply (zenon_L337_); trivial.
% 0.67/0.89 exact (zenon_H27 zenon_H28).
% 0.67/0.89 (* end of lemma zenon_L338_ *)
% 0.67/0.89 assert (zenon_L339_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> (~(hskp28)) -> (~(hskp7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (~(hskp14)) -> (~(hskp16)) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(c2_1 (a3))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H5f zenon_He7 zenon_Haf zenon_Hb1 zenon_Hc5 zenon_H230 zenon_Hd4 zenon_H1 zenon_H20a zenon_H214 zenon_H209 zenon_Ha zenon_H3f zenon_H41.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3d | zenon_intro zenon_H59 ].
% 0.67/0.89 apply (zenon_L325_); trivial.
% 0.67/0.89 apply (zenon_L154_); trivial.
% 0.67/0.89 (* end of lemma zenon_L339_ *)
% 0.67/0.89 assert (zenon_L340_ : ((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (~(c2_1 (a3))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> (c3_1 (a7)) -> (~(c2_1 (a7))) -> (c0_1 (a7)) -> (~(hskp25)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp0)) -> False).
% 0.67/0.89 do 0 intro. intros zenon_Hc7 zenon_H23c zenon_H225 zenon_H224 zenon_H223 zenon_H209 zenon_H214 zenon_H20a zenon_H1d4 zenon_H1b1 zenon_H1af zenon_H1b0 zenon_H1d0 zenon_H2a6 zenon_H27.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Ha. zenon_intro zenon_Hc8.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb3. zenon_intro zenon_Hc9.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H222 | zenon_intro zenon_H23d ].
% 0.67/0.89 apply (zenon_L170_); trivial.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H9c | zenon_intro zenon_H28 ].
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_He9 | zenon_intro zenon_H2a7 ].
% 0.67/0.89 apply (zenon_L134_); trivial.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_Hea | zenon_intro zenon_Hc1 ].
% 0.67/0.89 apply (zenon_L157_); trivial.
% 0.67/0.89 apply (zenon_L48_); trivial.
% 0.67/0.89 exact (zenon_H27 zenon_H28).
% 0.67/0.89 (* end of lemma zenon_L340_ *)
% 0.67/0.89 assert (zenon_L341_ : ((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> (c3_1 (a7)) -> (~(c2_1 (a7))) -> (c0_1 (a7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(c2_1 (a3))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H1c4 zenon_H112 zenon_H81 zenon_H232 zenon_He6 zenon_H23c zenon_H27 zenon_H1d4 zenon_H1b1 zenon_H1af zenon_H1b0 zenon_H2a6 zenon_H225 zenon_H224 zenon_H223 zenon_H41 zenon_H209 zenon_H214 zenon_H20a zenon_H230 zenon_Hc5 zenon_Hb1 zenon_He7 zenon_H5f zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1eb zenon_H1ef zenon_H1ba zenon_H144 zenon_H84.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_Ha. zenon_intro zenon_H1c5.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H88. zenon_intro zenon_H1c6.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H86. zenon_intro zenon_H87.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ].
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ].
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ].
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1ea ].
% 0.67/0.89 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ].
% 0.67/0.89 apply (zenon_L339_); trivial.
% 0.67/0.89 apply (zenon_L340_); trivial.
% 0.67/0.89 apply (zenon_L138_); trivial.
% 0.67/0.89 apply (zenon_L175_); trivial.
% 0.67/0.89 apply (zenon_L338_); trivial.
% 0.67/0.89 apply (zenon_L182_); trivial.
% 0.67/0.89 (* end of lemma zenon_L341_ *)
% 0.67/0.89 assert (zenon_L342_ : ((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> (c1_1 (a3)) -> (~(hskp7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> (~(hskp10)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H7d zenon_H5f zenon_H214 zenon_Hb1 zenon_Hc5 zenon_H1ba zenon_H144 zenon_H20a zenon_H209 zenon_H79 zenon_H7b.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_Ha. zenon_intro zenon_H7e.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H71. zenon_intro zenon_H7f.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H72. zenon_intro zenon_H70.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3d | zenon_intro zenon_H59 ].
% 0.67/0.89 apply (zenon_L327_); trivial.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_Ha. zenon_intro zenon_H5b.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H4e. zenon_intro zenon_H5c.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4f. zenon_intro zenon_H50.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H64 | zenon_intro zenon_H7c ].
% 0.67/0.89 apply (zenon_L153_); trivial.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H6f | zenon_intro zenon_H7a ].
% 0.67/0.89 apply (zenon_L28_); trivial.
% 0.67/0.89 exact (zenon_H79 zenon_H7a).
% 0.67/0.89 (* end of lemma zenon_L342_ *)
% 0.67/0.89 assert (zenon_L343_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> (~(hskp7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp10)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (ndr1_0) -> (~(c2_1 (a3))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(hskp16)) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H81 zenon_Hb1 zenon_Hc5 zenon_H1ba zenon_H144 zenon_H79 zenon_H7b zenon_H41 zenon_Ha zenon_H209 zenon_H214 zenon_H20a zenon_H1 zenon_Hd4 zenon_H230 zenon_H57 zenon_H5a zenon_H5f.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ].
% 0.67/0.89 apply (zenon_L335_); trivial.
% 0.67/0.89 apply (zenon_L342_); trivial.
% 0.67/0.89 (* end of lemma zenon_L343_ *)
% 0.67/0.89 assert (zenon_L344_ : ((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> (c1_1 (a3)) -> (~(hskp7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H191 zenon_H5f zenon_H214 zenon_Hb1 zenon_Hc5 zenon_H1ba zenon_H144 zenon_H20a zenon_H209 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H206.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3d | zenon_intro zenon_H59 ].
% 0.67/0.89 apply (zenon_L331_); trivial.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_Ha. zenon_intro zenon_H5b.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H4e. zenon_intro zenon_H5c.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4f. zenon_intro zenon_H50.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H207 ].
% 0.67/0.89 apply (zenon_L143_); trivial.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H64 | zenon_intro zenon_H1fc ].
% 0.67/0.89 apply (zenon_L153_); trivial.
% 0.67/0.89 apply (zenon_L144_); trivial.
% 0.67/0.89 (* end of lemma zenon_L344_ *)
% 0.67/0.89 assert (zenon_L345_ : ((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (c0_1 (a11)) -> (~(c2_1 (a11))) -> (~(c1_1 (a11))) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> (~(c2_1 (a7))) -> (c0_1 (a7)) -> (c3_1 (a7)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> False).
% 0.67/0.89 do 0 intro. intros zenon_H1a2 zenon_H1a1 zenon_H206 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H209 zenon_H20a zenon_H214 zenon_H19f zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H1c8 zenon_H103.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ].
% 0.67/0.89 apply (zenon_L125_); trivial.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193.
% 0.67/0.89 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H207 ].
% 0.67/0.89 apply (zenon_L143_); trivial.
% 0.67/0.89 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H64 | zenon_intro zenon_H1fc ].
% 0.67/0.89 apply (zenon_L166_); trivial.
% 0.67/0.89 apply (zenon_L144_); trivial.
% 0.67/0.89 (* end of lemma zenon_L345_ *)
% 0.67/0.89 assert (zenon_L346_ : ((~(hskp8))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> (c3_1 (a7)) -> (~(c2_1 (a7))) -> (c0_1 (a7)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(c2_1 (a3))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (c0_1 (a11)) -> (~(c2_1 (a11))) -> (~(c1_1 (a11))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> (ndr1_0) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> (~(hskp7)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((hskp7)\/(hskp8))) -> False).
% 0.67/0.90 do 0 intro. intros zenon_H1f0 zenon_H1f1 zenon_H19f zenon_H1c8 zenon_H103 zenon_H1c7 zenon_H1d4 zenon_H1b1 zenon_H1af zenon_H1b0 zenon_H1eb zenon_H1ef zenon_H84 zenon_He6 zenon_H23c zenon_H27 zenon_H2a6 zenon_H232 zenon_He7 zenon_H5f zenon_H5a zenon_H230 zenon_H20a zenon_H214 zenon_H209 zenon_H41 zenon_H7b zenon_H1ba zenon_Hc5 zenon_H81 zenon_H112 zenon_H206 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H1a1 zenon_Ha zenon_H223 zenon_H224 zenon_H225 zenon_Hb1 zenon_H22c.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ].
% 0.67/0.90 apply (zenon_L171_); trivial.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ].
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c4 ].
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ].
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ].
% 0.67/0.90 apply (zenon_L343_); trivial.
% 0.67/0.90 apply (zenon_L338_); trivial.
% 0.67/0.90 apply (zenon_L182_); trivial.
% 0.67/0.90 apply (zenon_L341_); trivial.
% 0.67/0.90 apply (zenon_L344_); trivial.
% 0.67/0.90 apply (zenon_L345_); trivial.
% 0.67/0.90 (* end of lemma zenon_L346_ *)
% 0.67/0.90 assert (zenon_L347_ : ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> (~(c2_1 (a28))) -> (c3_1 (a28)) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp21)) -> (~(hskp13)) -> ((hskp21)\/((hskp13)\/(hskp24))) -> False).
% 0.67/0.90 do 0 intro. intros zenon_H2e zenon_Hf4 zenon_H5 zenon_Hdc zenon_Hdd zenon_Hf2 zenon_Hf5 zenon_Ha9 zenon_H15 zenon_H298.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ].
% 0.67/0.90 apply (zenon_L285_); trivial.
% 0.67/0.90 apply (zenon_L60_); trivial.
% 0.67/0.90 (* end of lemma zenon_L347_ *)
% 0.67/0.90 assert (zenon_L348_ : ((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> (~(c2_1 (a28))) -> (c3_1 (a28)) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp24)\/(hskp6))) -> False).
% 0.67/0.90 do 0 intro. intros zenon_Hd6 zenon_H2e zenon_Hf4 zenon_H5 zenon_Hdc zenon_Hdd zenon_Hf2 zenon_Hf5 zenon_H98 zenon_H101.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha. zenon_intro zenon_Hd8.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcc. zenon_intro zenon_Hd9.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ].
% 0.67/0.90 apply (zenon_L63_); trivial.
% 0.67/0.90 apply (zenon_L60_); trivial.
% 0.67/0.90 (* end of lemma zenon_L348_ *)
% 0.67/0.90 assert (zenon_L349_ : ((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp24)\/(hskp6))) -> ((hskp21)\/((hskp13)\/(hskp24))) -> (~(hskp13)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> False).
% 0.67/0.90 do 0 intro. intros zenon_H10c zenon_H103 zenon_H98 zenon_H101 zenon_H298 zenon_H15 zenon_Hf5 zenon_Hf2 zenon_H5 zenon_Hf4 zenon_H2e.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Ha. zenon_intro zenon_H10d.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Hdd. zenon_intro zenon_H10e.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hd6 ].
% 0.67/0.90 apply (zenon_L347_); trivial.
% 0.67/0.90 apply (zenon_L348_); trivial.
% 0.67/0.90 (* end of lemma zenon_L349_ *)
% 0.67/0.90 assert (zenon_L350_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp24)\/(hskp6))) -> ((hskp21)\/((hskp13)\/(hskp24))) -> (~(hskp13)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> (~(hskp9)) -> (~(hskp2)) -> ((hskp9)\/((hskp2)\/(hskp17))) -> False).
% 0.67/0.90 do 0 intro. intros zenon_H10b zenon_H103 zenon_H98 zenon_H101 zenon_H298 zenon_H15 zenon_Hf5 zenon_Hf2 zenon_Hf4 zenon_H2e zenon_H144 zenon_H5 zenon_H146.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hab | zenon_intro zenon_H10c ].
% 0.67/0.90 apply (zenon_L85_); trivial.
% 0.67/0.90 apply (zenon_L349_); trivial.
% 0.67/0.90 (* end of lemma zenon_L350_ *)
% 0.67/0.90 assert (zenon_L351_ : (forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))) -> (ndr1_0) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> False).
% 0.67/0.90 do 0 intro. intros zenon_H8f zenon_Ha zenon_H2a8 zenon_H2a9 zenon_H2aa.
% 0.67/0.90 generalize (zenon_H8f (a1)). zenon_intro zenon_H2ab.
% 0.67/0.90 apply (zenon_imply_s _ _ zenon_H2ab); [ zenon_intro zenon_H9 | zenon_intro zenon_H2ac ].
% 0.67/0.90 exact (zenon_H9 zenon_Ha).
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2ad ].
% 0.67/0.90 exact (zenon_H2a8 zenon_H2ae).
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2af ].
% 0.67/0.90 exact (zenon_H2b0 zenon_H2a9).
% 0.67/0.90 exact (zenon_H2af zenon_H2aa).
% 0.67/0.90 (* end of lemma zenon_L351_ *)
% 0.67/0.90 assert (zenon_L352_ : ((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> (~(hskp6)) -> False).
% 0.67/0.90 do 0 intro. intros zenon_H23e zenon_H2b1 zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H98.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H23f.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H31. zenon_intro zenon_H240.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H32. zenon_intro zenon_H30.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H2f | zenon_intro zenon_H9b ].
% 0.67/0.90 apply (zenon_L15_); trivial.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H9b); [ zenon_intro zenon_H8f | zenon_intro zenon_H99 ].
% 0.67/0.90 apply (zenon_L351_); trivial.
% 0.67/0.90 exact (zenon_H98 zenon_H99).
% 0.67/0.90 (* end of lemma zenon_L352_ *)
% 0.67/0.90 assert (zenon_L353_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> ((hskp9)\/((hskp2)\/(hskp17))) -> (~(hskp2)) -> (~(hskp9)) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((hskp21)\/((hskp13)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> False).
% 0.67/0.90 do 0 intro. intros zenon_H241 zenon_H2b1 zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H146 zenon_H5 zenon_H144 zenon_H2e zenon_Hf4 zenon_Hf2 zenon_Hf5 zenon_H298 zenon_H101 zenon_H98 zenon_H103 zenon_H10b.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ].
% 0.67/0.90 apply (zenon_L350_); trivial.
% 0.67/0.90 apply (zenon_L352_); trivial.
% 0.67/0.90 (* end of lemma zenon_L353_ *)
% 0.67/0.90 assert (zenon_L354_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp24)\/(hskp6))) -> ((hskp21)\/((hskp13)\/(hskp24))) -> (~(hskp13)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (ndr1_0) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> False).
% 0.67/0.90 do 0 intro. intros zenon_H10b zenon_H98 zenon_H101 zenon_H298 zenon_H15 zenon_Hf5 zenon_Hf2 zenon_H5 zenon_Hf4 zenon_H2e zenon_H19f zenon_H79 zenon_H198 zenon_H197 zenon_H196 zenon_Ha zenon_Hd4 zenon_Hd7 zenon_H103.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hab | zenon_intro zenon_H10c ].
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hd6 ].
% 0.67/0.90 apply (zenon_L107_); trivial.
% 0.67/0.90 apply (zenon_L53_); trivial.
% 0.67/0.90 apply (zenon_L349_); trivial.
% 0.67/0.90 (* end of lemma zenon_L354_ *)
% 0.67/0.90 assert (zenon_L355_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp20))) -> (c3_1 (a22)) -> (c2_1 (a22)) -> (~(c0_1 (a22))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> (ndr1_0) -> (~(hskp20)) -> False).
% 0.67/0.90 do 0 intro. intros zenon_H2b2 zenon_Hfa zenon_Hf9 zenon_Hf8 zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_Ha zenon_H39.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H9c | zenon_intro zenon_H2b3 ].
% 0.67/0.90 apply (zenon_L61_); trivial.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H8f | zenon_intro zenon_H3a ].
% 0.67/0.90 apply (zenon_L351_); trivial.
% 0.67/0.90 exact (zenon_H39 zenon_H3a).
% 0.67/0.90 (* end of lemma zenon_L355_ *)
% 0.67/0.90 assert (zenon_L356_ : (forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41)))))) -> (ndr1_0) -> (forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61)))))) -> (c0_1 (a27)) -> (c3_1 (a27)) -> False).
% 0.67/0.90 do 0 intro. intros zenon_H1ae zenon_Ha zenon_H178 zenon_Hd zenon_He.
% 0.67/0.90 generalize (zenon_H1ae (a27)). zenon_intro zenon_H242.
% 0.67/0.90 apply (zenon_imply_s _ _ zenon_H242); [ zenon_intro zenon_H9 | zenon_intro zenon_H243 ].
% 0.67/0.90 exact (zenon_H9 zenon_Ha).
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H23b | zenon_intro zenon_H11 ].
% 0.67/0.90 apply (zenon_L213_); trivial.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H11); [ zenon_intro zenon_H14 | zenon_intro zenon_H13 ].
% 0.67/0.90 exact (zenon_H14 zenon_Hd).
% 0.67/0.90 exact (zenon_H13 zenon_He).
% 0.67/0.90 (* end of lemma zenon_L356_ *)
% 0.67/0.90 assert (zenon_L357_ : ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(c1_1 (a27))) -> (c3_1 (a27)) -> (c0_1 (a27)) -> (forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61)))))) -> (ndr1_0) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> False).
% 0.67/0.90 do 0 intro. intros zenon_H24c zenon_Hc zenon_He zenon_Hd zenon_H178 zenon_Ha zenon_H2a8 zenon_H2a9 zenon_H2aa.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_He9 | zenon_intro zenon_H24d ].
% 0.67/0.90 apply (zenon_L214_); trivial.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1ae | zenon_intro zenon_H8f ].
% 0.67/0.90 apply (zenon_L356_); trivial.
% 0.67/0.90 apply (zenon_L351_); trivial.
% 0.67/0.90 (* end of lemma zenon_L357_ *)
% 0.67/0.90 assert (zenon_L358_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a22)) -> (c2_1 (a22)) -> (~(c0_1 (a22))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> (c0_1 (a27)) -> (c3_1 (a27)) -> (~(c1_1 (a27))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (ndr1_0) -> (c1_1 (a37)) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9)))))) -> (~(c0_1 (a37))) -> (c3_1 (a37)) -> False).
% 0.67/0.90 do 0 intro. intros zenon_H17b zenon_Hfa zenon_Hf9 zenon_Hf8 zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_Hd zenon_He zenon_Hc zenon_H24c zenon_Ha zenon_H43 zenon_H64 zenon_H44 zenon_H42.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H9c | zenon_intro zenon_H17c ].
% 0.67/0.90 apply (zenon_L61_); trivial.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H178 | zenon_intro zenon_H63 ].
% 0.67/0.90 apply (zenon_L357_); trivial.
% 0.67/0.90 apply (zenon_L26_); trivial.
% 0.67/0.90 (* end of lemma zenon_L358_ *)
% 0.67/0.90 assert (zenon_L359_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(c0_1 (a22))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> (c0_1 (a27)) -> (c3_1 (a27)) -> (~(c1_1 (a27))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (ndr1_0) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (c2_1 (a22)) -> (c3_1 (a22)) -> False).
% 0.67/0.90 do 0 intro. intros zenon_H17b zenon_Hf8 zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_Hd zenon_He zenon_Hc zenon_H24c zenon_Ha zenon_H6f zenon_Hf9 zenon_Hfa.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H9c | zenon_intro zenon_H17c ].
% 0.67/0.90 apply (zenon_L61_); trivial.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H178 | zenon_intro zenon_H63 ].
% 0.67/0.90 apply (zenon_L357_); trivial.
% 0.67/0.90 apply (zenon_L111_); trivial.
% 0.67/0.90 (* end of lemma zenon_L359_ *)
% 0.67/0.90 assert (zenon_L360_ : ((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(c0_1 (a22))) -> (c2_1 (a22)) -> (c3_1 (a22)) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp20))) -> False).
% 0.67/0.90 do 0 intro. intros zenon_H80 zenon_H62 zenon_H7b zenon_H79 zenon_H24c zenon_H17b zenon_Hf8 zenon_Hf9 zenon_Hfa zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H2b2.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H82.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Hd. zenon_intro zenon_H83.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H39 | zenon_intro zenon_H5e ].
% 0.67/0.90 apply (zenon_L355_); trivial.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_Ha. zenon_intro zenon_H60.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H43. zenon_intro zenon_H61.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H42. zenon_intro zenon_H44.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H64 | zenon_intro zenon_H7c ].
% 0.67/0.90 apply (zenon_L358_); trivial.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H6f | zenon_intro zenon_H7a ].
% 0.67/0.90 apply (zenon_L359_); trivial.
% 0.67/0.90 exact (zenon_H79 zenon_H7a).
% 0.67/0.90 (* end of lemma zenon_L360_ *)
% 0.67/0.90 assert (zenon_L361_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp24)\/(hskp6))) -> ((hskp21)\/((hskp13)\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (ndr1_0) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((hskp16)\/((hskp4)\/(hskp2))) -> (~(hskp4)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp20))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> False).
% 0.67/0.90 do 0 intro. intros zenon_H241 zenon_H2b1 zenon_H10b zenon_H98 zenon_H101 zenon_H298 zenon_Hf5 zenon_Hf2 zenon_H5 zenon_Hf4 zenon_H2e zenon_H19f zenon_H79 zenon_H198 zenon_H197 zenon_H196 zenon_Ha zenon_Hd7 zenon_H103 zenon_H7 zenon_H3 zenon_H2b2 zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H17b zenon_H24c zenon_H7b zenon_H62 zenon_H84 zenon_H112.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ].
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ].
% 0.67/0.90 apply (zenon_L354_); trivial.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha. zenon_intro zenon_H110.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Hf9. zenon_intro zenon_H111.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_Hfa. zenon_intro zenon_Hf8.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ].
% 0.67/0.90 apply (zenon_L4_); trivial.
% 0.67/0.90 apply (zenon_L360_); trivial.
% 0.67/0.90 apply (zenon_L352_); trivial.
% 0.67/0.90 (* end of lemma zenon_L361_ *)
% 0.67/0.90 assert (zenon_L362_ : ((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp20)) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> (~(c1_1 (a18))) -> (~(c0_1 (a18))) -> (c3_1 (a18)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp20))) -> (~(hskp2)) -> False).
% 0.67/0.90 do 0 intro. intros zenon_H29 zenon_Hf4 zenon_H39 zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H194 zenon_H9d zenon_H9f zenon_H2b2 zenon_H5.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_Ha. zenon_intro zenon_H2b.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1c. zenon_intro zenon_H1d.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1b | zenon_intro zenon_Hf6 ].
% 0.67/0.90 apply (zenon_L10_); trivial.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He9 | zenon_intro zenon_H6 ].
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H9c | zenon_intro zenon_H2b3 ].
% 0.67/0.90 apply (zenon_L212_); trivial.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H8f | zenon_intro zenon_H3a ].
% 0.67/0.90 apply (zenon_L351_); trivial.
% 0.67/0.90 exact (zenon_H39 zenon_H3a).
% 0.67/0.90 exact (zenon_H5 zenon_H6).
% 0.67/0.90 (* end of lemma zenon_L362_ *)
% 0.67/0.90 assert (zenon_L363_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp24)\/(hskp6))) -> ((hskp21)\/((hskp13)\/(hskp24))) -> (~(hskp13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp20))) -> (~(hskp20)) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> (c3_1 (a18)) -> (~(c0_1 (a18))) -> (~(c1_1 (a18))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> False).
% 0.67/0.90 do 0 intro. intros zenon_H103 zenon_H98 zenon_H101 zenon_H298 zenon_H15 zenon_H2b2 zenon_H39 zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H9f zenon_H9d zenon_H194 zenon_H5 zenon_Hf4 zenon_H2e.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hd6 ].
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ].
% 0.67/0.90 apply (zenon_L285_); trivial.
% 0.67/0.90 apply (zenon_L362_); trivial.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha. zenon_intro zenon_Hd8.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcc. zenon_intro zenon_Hd9.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ].
% 0.67/0.90 apply (zenon_L63_); trivial.
% 0.67/0.90 apply (zenon_L362_); trivial.
% 0.67/0.90 (* end of lemma zenon_L363_ *)
% 0.67/0.90 assert (zenon_L364_ : ((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> (~(hskp12)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> (~(c1_1 (a18))) -> (~(c0_1 (a18))) -> (c3_1 (a18)) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp20))) -> (~(hskp13)) -> ((hskp21)\/((hskp13)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> False).
% 0.67/0.90 do 0 intro. intros zenon_H80 zenon_H62 zenon_H17b zenon_H6d zenon_H25 zenon_H196 zenon_H197 zenon_H198 zenon_H154 zenon_H26a zenon_H2e zenon_Hf4 zenon_H5 zenon_H194 zenon_H9d zenon_H9f zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H2b2 zenon_H15 zenon_H298 zenon_H101 zenon_H98 zenon_H103.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H82.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Hd. zenon_intro zenon_H83.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H39 | zenon_intro zenon_H5e ].
% 0.67/0.90 apply (zenon_L363_); trivial.
% 0.67/0.90 apply (zenon_L218_); trivial.
% 0.67/0.90 (* end of lemma zenon_L364_ *)
% 0.67/0.90 assert (zenon_L365_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> (~(hskp12)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(c1_1 (a18))) -> (~(c0_1 (a18))) -> (c3_1 (a18)) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp20))) -> (~(hskp13)) -> ((hskp21)\/((hskp13)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> (~(hskp4)) -> (~(hskp2)) -> ((hskp16)\/((hskp4)\/(hskp2))) -> False).
% 0.67/0.90 do 0 intro. intros zenon_H84 zenon_H62 zenon_H17b zenon_H6d zenon_H25 zenon_H196 zenon_H197 zenon_H198 zenon_H154 zenon_H26a zenon_H2e zenon_Hf4 zenon_H194 zenon_H9d zenon_H9f zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H2b2 zenon_H15 zenon_H298 zenon_H101 zenon_H98 zenon_H103 zenon_H3 zenon_H5 zenon_H7.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ].
% 0.67/0.90 apply (zenon_L4_); trivial.
% 0.67/0.90 apply (zenon_L364_); trivial.
% 0.67/0.90 (* end of lemma zenon_L365_ *)
% 0.67/0.90 assert (zenon_L366_ : (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X))))) -> (ndr1_0) -> (~(c0_1 (a20))) -> (~(c1_1 (a20))) -> (~(c3_1 (a20))) -> False).
% 0.67/0.90 do 0 intro. intros zenon_H138 zenon_Ha zenon_H29f zenon_H17e zenon_H17f.
% 0.67/0.90 generalize (zenon_H138 (a20)). zenon_intro zenon_H2b4.
% 0.67/0.90 apply (zenon_imply_s _ _ zenon_H2b4); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b5 ].
% 0.67/0.90 exact (zenon_H9 zenon_Ha).
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H29b | zenon_intro zenon_H2b6 ].
% 0.67/0.90 exact (zenon_H29f zenon_H29b).
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_H184 | zenon_intro zenon_H186 ].
% 0.67/0.90 exact (zenon_H17e zenon_H184).
% 0.67/0.90 exact (zenon_H17f zenon_H186).
% 0.67/0.90 (* end of lemma zenon_L366_ *)
% 0.67/0.90 assert (zenon_L367_ : ((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp2)\/(hskp1))) -> (~(hskp6)) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6))) -> (~(hskp2)) -> (~(hskp1)) -> False).
% 0.67/0.90 do 0 intro. intros zenon_H189 zenon_H142 zenon_H98 zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H2b1 zenon_H5 zenon_Hf2.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_Ha. zenon_intro zenon_H18a.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H180. zenon_intro zenon_H18b.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17e. zenon_intro zenon_H17f.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H138 | zenon_intro zenon_H143 ].
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H2f | zenon_intro zenon_H9b ].
% 0.67/0.90 generalize (zenon_H2f (a20)). zenon_intro zenon_H2b7.
% 0.67/0.90 apply (zenon_imply_s _ _ zenon_H2b7); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b8 ].
% 0.67/0.90 exact (zenon_H9 zenon_Ha).
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H186 | zenon_intro zenon_H29e ].
% 0.67/0.90 exact (zenon_H17f zenon_H186).
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H29f | zenon_intro zenon_H185 ].
% 0.67/0.90 apply (zenon_L366_); trivial.
% 0.67/0.90 exact (zenon_H185 zenon_H180).
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H9b); [ zenon_intro zenon_H8f | zenon_intro zenon_H99 ].
% 0.67/0.90 apply (zenon_L351_); trivial.
% 0.67/0.90 exact (zenon_H98 zenon_H99).
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H6 | zenon_intro zenon_Hf3 ].
% 0.67/0.90 exact (zenon_H5 zenon_H6).
% 0.67/0.90 exact (zenon_Hf2 zenon_Hf3).
% 0.67/0.90 (* end of lemma zenon_L367_ *)
% 0.67/0.90 assert (zenon_L368_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> (~(hskp11)) -> (~(hskp19)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (ndr1_0) -> (~(c0_1 (a22))) -> (c2_1 (a22)) -> (c3_1 (a22)) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp20))) -> False).
% 0.67/0.90 do 0 intro. intros zenon_H62 zenon_H5f zenon_H5a zenon_H57 zenon_H3f zenon_H41 zenon_Ha zenon_Hf8 zenon_Hf9 zenon_Hfa zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H2b2.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H39 | zenon_intro zenon_H5e ].
% 0.67/0.90 apply (zenon_L355_); trivial.
% 0.67/0.90 apply (zenon_L24_); trivial.
% 0.67/0.90 (* end of lemma zenon_L368_ *)
% 0.67/0.90 assert (zenon_L369_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a22)) -> (c2_1 (a22)) -> (~(c0_1 (a22))) -> (c3_1 (a54)) -> (c2_1 (a54)) -> (c0_1 (a54)) -> (ndr1_0) -> (c1_1 (a37)) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9)))))) -> (~(c0_1 (a37))) -> (c3_1 (a37)) -> False).
% 0.67/0.90 do 0 intro. intros zenon_H17b zenon_Hfa zenon_Hf9 zenon_Hf8 zenon_H168 zenon_H167 zenon_H166 zenon_Ha zenon_H43 zenon_H64 zenon_H44 zenon_H42.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H9c | zenon_intro zenon_H17c ].
% 0.67/0.90 apply (zenon_L61_); trivial.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H178 | zenon_intro zenon_H63 ].
% 0.67/0.90 apply (zenon_L98_); trivial.
% 0.67/0.90 apply (zenon_L26_); trivial.
% 0.67/0.90 (* end of lemma zenon_L369_ *)
% 0.67/0.90 assert (zenon_L370_ : ((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a36)) -> (c2_1 (a36)) -> (~(c1_1 (a36))) -> (~(c0_1 (a22))) -> (c2_1 (a22)) -> (c3_1 (a22)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((hskp30)\/(hskp12))) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> (~(hskp12)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp22)\/(hskp12))) -> False).
% 0.67/0.90 do 0 intro. intros zenon_H5e zenon_H18d zenon_H174 zenon_H7b zenon_H79 zenon_H72 zenon_H71 zenon_H70 zenon_Hf8 zenon_Hf9 zenon_Hfa zenon_H17b zenon_H164 zenon_H149 zenon_H14a zenon_H14b zenon_H154 zenon_H156.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_Ha. zenon_intro zenon_H60.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H43. zenon_intro zenon_H61.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H42. zenon_intro zenon_H44.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ].
% 0.67/0.90 apply (zenon_L89_); trivial.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15a. zenon_intro zenon_H190.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H162 | zenon_intro zenon_H175 ].
% 0.67/0.90 apply (zenon_L92_); trivial.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H177.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H167. zenon_intro zenon_H168.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H64 | zenon_intro zenon_H7c ].
% 0.67/0.90 apply (zenon_L369_); trivial.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H6f | zenon_intro zenon_H7a ].
% 0.67/0.90 apply (zenon_L28_); trivial.
% 0.67/0.90 exact (zenon_H79 zenon_H7a).
% 0.67/0.90 (* end of lemma zenon_L370_ *)
% 0.67/0.90 assert (zenon_L371_ : ((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> (~(hskp6)) -> False).
% 0.67/0.90 do 0 intro. intros zenon_H1c4 zenon_H9a zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H98.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_Ha. zenon_intro zenon_H1c5.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H88. zenon_intro zenon_H1c6.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H86. zenon_intro zenon_H87.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H85 | zenon_intro zenon_H9b ].
% 0.67/0.90 apply (zenon_L35_); trivial.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H9b); [ zenon_intro zenon_H8f | zenon_intro zenon_H99 ].
% 0.67/0.90 apply (zenon_L351_); trivial.
% 0.67/0.90 exact (zenon_H98 zenon_H99).
% 0.67/0.90 (* end of lemma zenon_L371_ *)
% 0.67/0.90 assert (zenon_L372_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp24)\/(hskp6))) -> ((hskp21)\/((hskp13)\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (ndr1_0) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp20))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp22)\/(hskp12))) -> (c0_1 (a9)) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((hskp30)\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> False).
% 0.67/0.90 do 0 intro. intros zenon_H1c7 zenon_H9a zenon_H241 zenon_H2b1 zenon_H10b zenon_H98 zenon_H101 zenon_H298 zenon_Hf5 zenon_Hf2 zenon_H5 zenon_Hf4 zenon_H2e zenon_H19f zenon_H79 zenon_H198 zenon_H197 zenon_H196 zenon_Ha zenon_Hd7 zenon_H103 zenon_H62 zenon_H5f zenon_H5a zenon_H41 zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H2b2 zenon_H156 zenon_H14b zenon_H14a zenon_H149 zenon_H164 zenon_H17b zenon_H7b zenon_H174 zenon_H18d zenon_H81 zenon_H112 zenon_H187 zenon_H18c.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c4 ].
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H154 | zenon_intro zenon_H189 ].
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ].
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ].
% 0.67/0.90 apply (zenon_L354_); trivial.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha. zenon_intro zenon_H110.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Hf9. zenon_intro zenon_H111.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_Hfa. zenon_intro zenon_Hf8.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ].
% 0.67/0.90 apply (zenon_L368_); trivial.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_Ha. zenon_intro zenon_H7e.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H71. zenon_intro zenon_H7f.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H72. zenon_intro zenon_H70.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H39 | zenon_intro zenon_H5e ].
% 0.67/0.90 apply (zenon_L355_); trivial.
% 0.67/0.90 apply (zenon_L370_); trivial.
% 0.67/0.90 apply (zenon_L352_); trivial.
% 0.67/0.90 apply (zenon_L103_); trivial.
% 0.67/0.90 apply (zenon_L371_); trivial.
% 0.67/0.90 (* end of lemma zenon_L372_ *)
% 0.67/0.90 assert (zenon_L373_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a18)) -> (~(c0_1 (a18))) -> (~(c1_1 (a18))) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4)))))) -> (c3_1 (a54)) -> (c2_1 (a54)) -> (c0_1 (a54)) -> (ndr1_0) -> (c1_1 (a37)) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9)))))) -> (~(c0_1 (a37))) -> (c3_1 (a37)) -> False).
% 0.67/0.90 do 0 intro. intros zenon_H17b zenon_H9f zenon_H9d zenon_H194 zenon_He9 zenon_H168 zenon_H167 zenon_H166 zenon_Ha zenon_H43 zenon_H64 zenon_H44 zenon_H42.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H9c | zenon_intro zenon_H17c ].
% 0.67/0.90 apply (zenon_L212_); trivial.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H178 | zenon_intro zenon_H63 ].
% 0.67/0.90 apply (zenon_L98_); trivial.
% 0.67/0.90 apply (zenon_L26_); trivial.
% 0.67/0.90 (* end of lemma zenon_L373_ *)
% 0.67/0.90 assert (zenon_L374_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> (c3_1 (a37)) -> (~(c0_1 (a37))) -> (c1_1 (a37)) -> (c0_1 (a54)) -> (c2_1 (a54)) -> (c3_1 (a54)) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4)))))) -> (~(c1_1 (a18))) -> (~(c0_1 (a18))) -> (c3_1 (a18)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (ndr1_0) -> (~(hskp12)) -> False).
% 0.67/0.90 do 0 intro. intros zenon_H26a zenon_H42 zenon_H44 zenon_H43 zenon_H166 zenon_H167 zenon_H168 zenon_He9 zenon_H194 zenon_H9d zenon_H9f zenon_H17b zenon_H198 zenon_H197 zenon_H196 zenon_Ha zenon_H154.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H64 | zenon_intro zenon_H26b ].
% 0.67/0.90 apply (zenon_L373_); trivial.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H195 | zenon_intro zenon_H155 ].
% 0.67/0.90 apply (zenon_L106_); trivial.
% 0.67/0.90 exact (zenon_H154 zenon_H155).
% 0.67/0.90 (* end of lemma zenon_L374_ *)
% 0.67/0.90 assert (zenon_L375_ : ((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a37)) -> (~(c0_1 (a37))) -> (c1_1 (a37)) -> (c3_1 (a18)) -> (~(c0_1 (a18))) -> (~(c1_1 (a18))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> (~(c1_1 (a42))) -> (c0_1 (a42)) -> (c2_1 (a42)) -> (~(hskp12)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((hskp30)\/(hskp12))) -> False).
% 0.67/0.90 do 0 intro. intros zenon_H29 zenon_H174 zenon_Hf4 zenon_H5 zenon_H17b zenon_H42 zenon_H44 zenon_H43 zenon_H9f zenon_H9d zenon_H194 zenon_H196 zenon_H197 zenon_H198 zenon_H26a zenon_H159 zenon_H15a zenon_H15b zenon_H154 zenon_H164.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_Ha. zenon_intro zenon_H2b.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1c. zenon_intro zenon_H1d.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H162 | zenon_intro zenon_H175 ].
% 0.67/0.90 apply (zenon_L92_); trivial.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H177.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H167. zenon_intro zenon_H168.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1b | zenon_intro zenon_Hf6 ].
% 0.67/0.90 apply (zenon_L10_); trivial.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He9 | zenon_intro zenon_H6 ].
% 0.67/0.90 apply (zenon_L374_); trivial.
% 0.67/0.90 exact (zenon_H5 zenon_H6).
% 0.67/0.90 (* end of lemma zenon_L375_ *)
% 0.67/0.90 assert (zenon_L376_ : ((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c0_1 (a22))) -> (c2_1 (a22)) -> (c3_1 (a22)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((hskp30)\/(hskp12))) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> (~(hskp12)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp22)\/(hskp12))) -> False).
% 0.67/0.90 do 0 intro. intros zenon_H5e zenon_H18d zenon_H174 zenon_H26a zenon_H198 zenon_H197 zenon_H196 zenon_Hf8 zenon_Hf9 zenon_Hfa zenon_H17b zenon_H164 zenon_H149 zenon_H14a zenon_H14b zenon_H154 zenon_H156.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_Ha. zenon_intro zenon_H60.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H43. zenon_intro zenon_H61.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H42. zenon_intro zenon_H44.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ].
% 0.67/0.90 apply (zenon_L89_); trivial.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15a. zenon_intro zenon_H190.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H162 | zenon_intro zenon_H175 ].
% 0.67/0.90 apply (zenon_L92_); trivial.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H177.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H167. zenon_intro zenon_H168.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H64 | zenon_intro zenon_H26b ].
% 0.67/0.90 apply (zenon_L369_); trivial.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H195 | zenon_intro zenon_H155 ].
% 0.67/0.90 apply (zenon_L106_); trivial.
% 0.67/0.90 exact (zenon_H154 zenon_H155).
% 0.67/0.90 (* end of lemma zenon_L376_ *)
% 0.67/0.90 assert (zenon_L377_ : (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4)))))) -> (ndr1_0) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))) -> (~(c2_1 (a7))) -> (c3_1 (a7)) -> False).
% 0.67/0.90 do 0 intro. intros zenon_He9 zenon_Ha zenon_Hea zenon_H1af zenon_H1b1.
% 0.67/0.90 generalize (zenon_He9 (a7)). zenon_intro zenon_H1c0.
% 0.67/0.90 apply (zenon_imply_s _ _ zenon_H1c0); [ zenon_intro zenon_H9 | zenon_intro zenon_H1c1 ].
% 0.67/0.90 exact (zenon_H9 zenon_Ha).
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1c2 ].
% 0.67/0.90 generalize (zenon_Hea (a7)). zenon_intro zenon_H2b9.
% 0.67/0.90 apply (zenon_imply_s _ _ zenon_H2b9); [ zenon_intro zenon_H9 | zenon_intro zenon_H2ba ].
% 0.67/0.90 exact (zenon_H9 zenon_Ha).
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1be ].
% 0.67/0.90 exact (zenon_H1af zenon_H1b5).
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1bf | zenon_intro zenon_H1b6 ].
% 0.67/0.90 exact (zenon_H1bf zenon_H1c3).
% 0.67/0.90 exact (zenon_H1b6 zenon_H1b1).
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b6 ].
% 0.67/0.90 exact (zenon_H1af zenon_H1b5).
% 0.67/0.90 exact (zenon_H1b6 zenon_H1b1).
% 0.67/0.90 (* end of lemma zenon_L377_ *)
% 0.67/0.90 assert (zenon_L378_ : ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(hskp9)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> (c3_1 (a7)) -> (c0_1 (a7)) -> (~(c2_1 (a7))) -> (ndr1_0) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> False).
% 0.67/0.90 do 0 intro. intros zenon_H24c zenon_H144 zenon_H2bb zenon_H1b1 zenon_H1b0 zenon_H1af zenon_Ha zenon_H2a8 zenon_H2a9 zenon_H2aa.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_He9 | zenon_intro zenon_H24d ].
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_Hea | zenon_intro zenon_H2bc ].
% 0.67/0.90 apply (zenon_L377_); trivial.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H2bc); [ zenon_intro zenon_H8f | zenon_intro zenon_H145 ].
% 0.67/0.90 apply (zenon_L351_); trivial.
% 0.67/0.90 exact (zenon_H144 zenon_H145).
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1ae | zenon_intro zenon_H8f ].
% 0.67/0.90 apply (zenon_L116_); trivial.
% 0.67/0.90 apply (zenon_L351_); trivial.
% 0.67/0.90 (* end of lemma zenon_L378_ *)
% 0.67/0.90 assert (zenon_L379_ : ((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp1)) -> (~(c2_1 (a7))) -> (c3_1 (a7)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp2)) -> False).
% 0.67/0.90 do 0 intro. intros zenon_H29 zenon_Hf4 zenon_Hf2 zenon_H1af zenon_H1b1 zenon_Hf5 zenon_H5.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_Ha. zenon_intro zenon_H2b.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1c. zenon_intro zenon_H1d.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1b | zenon_intro zenon_Hf6 ].
% 0.67/0.90 apply (zenon_L10_); trivial.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He9 | zenon_intro zenon_H6 ].
% 0.67/0.90 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1b | zenon_intro zenon_Hf7 ].
% 0.67/0.90 apply (zenon_L10_); trivial.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hea | zenon_intro zenon_Hf3 ].
% 0.67/0.90 apply (zenon_L377_); trivial.
% 0.67/0.90 exact (zenon_Hf2 zenon_Hf3).
% 0.67/0.90 exact (zenon_H5 zenon_H6).
% 0.67/0.90 (* end of lemma zenon_L379_ *)
% 0.67/0.90 assert (zenon_L380_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (c0_1 (a7)) -> ((hskp21)\/((hskp13)\/(hskp24))) -> (~(hskp13)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a7)) -> (~(c2_1 (a7))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> False).
% 0.67/0.90 do 0 intro. intros zenon_H103 zenon_H1c8 zenon_H198 zenon_H197 zenon_H196 zenon_H1b0 zenon_H298 zenon_H15 zenon_Hf5 zenon_Hf2 zenon_H1b1 zenon_H1af zenon_H5 zenon_Hf4 zenon_H2e.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hd6 ].
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ].
% 0.67/0.90 apply (zenon_L285_); trivial.
% 0.67/0.90 apply (zenon_L379_); trivial.
% 0.67/0.90 apply (zenon_L124_); trivial.
% 0.67/0.90 (* end of lemma zenon_L380_ *)
% 0.67/0.90 assert (zenon_L381_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> (~(hskp19)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (ndr1_0) -> (~(c0_1 (a22))) -> (c2_1 (a22)) -> (c3_1 (a22)) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp20))) -> False).
% 0.67/0.90 do 0 intro. intros zenon_H62 zenon_H5f zenon_H1f5 zenon_H144 zenon_H11a zenon_H119 zenon_H118 zenon_H3f zenon_H41 zenon_Ha zenon_Hf8 zenon_Hf9 zenon_Hfa zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H2b2.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H39 | zenon_intro zenon_H5e ].
% 0.67/0.90 apply (zenon_L355_); trivial.
% 0.67/0.90 apply (zenon_L194_); trivial.
% 0.67/0.90 (* end of lemma zenon_L381_ *)
% 0.67/0.90 assert (zenon_L382_ : ((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> (~(hskp10)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp20))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> (~(hskp9)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> False).
% 0.67/0.90 do 0 intro. intros zenon_H10f zenon_H81 zenon_H1ba zenon_H20a zenon_H209 zenon_H79 zenon_H7b zenon_H2b2 zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H41 zenon_H118 zenon_H119 zenon_H11a zenon_H144 zenon_H1f5 zenon_H5f zenon_H62.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha. zenon_intro zenon_H110.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Hf9. zenon_intro zenon_H111.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_Hfa. zenon_intro zenon_Hf8.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ].
% 0.67/0.90 apply (zenon_L381_); trivial.
% 0.67/0.90 apply (zenon_L328_); trivial.
% 0.67/0.90 (* end of lemma zenon_L382_ *)
% 0.67/0.90 assert (zenon_L383_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> (c1_1 (a3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> (ndr1_0) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp13)\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp20))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> False).
% 0.67/0.90 do 0 intro. intros zenon_H241 zenon_H214 zenon_H230 zenon_H3b zenon_H84 zenon_H5f zenon_H1f5 zenon_H11a zenon_H119 zenon_H118 zenon_H1ba zenon_H144 zenon_H20a zenon_H209 zenon_Ha zenon_H2a2 zenon_H62 zenon_H41 zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H2b2 zenon_H7b zenon_H79 zenon_H81 zenon_H112.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ].
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ].
% 0.67/0.90 apply (zenon_L314_); trivial.
% 0.67/0.90 apply (zenon_L382_); trivial.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H23f.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H31. zenon_intro zenon_H240.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H32. zenon_intro zenon_H30.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ].
% 0.67/0.90 apply (zenon_L330_); trivial.
% 0.67/0.90 apply (zenon_L382_); trivial.
% 0.67/0.90 (* end of lemma zenon_L383_ *)
% 0.67/0.90 assert (zenon_L384_ : ((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6))) -> (~(hskp6)) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> ((hskp27)\/((hskp13)\/(hskp8))) -> (~(hskp8)) -> (~(hskp4)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> False).
% 0.67/0.90 do 0 intro. intros zenon_H191 zenon_H241 zenon_H2b1 zenon_H98 zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H250 zenon_H1ca zenon_H3 zenon_H25c zenon_H260.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193.
% 0.67/0.90 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ].
% 0.67/0.90 apply (zenon_L202_); trivial.
% 0.67/0.90 apply (zenon_L352_); trivial.
% 0.67/0.90 (* end of lemma zenon_L384_ *)
% 0.67/0.90 assert (zenon_L385_ : ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> (ndr1_0) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> False).
% 0.67/0.90 do 0 intro. intros zenon_H18c zenon_H187 zenon_Hf2 zenon_H79 zenon_H1c8 zenon_H198 zenon_H197 zenon_H196 zenon_H214 zenon_H20a zenon_H209 zenon_Ha zenon_H26a.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H154 | zenon_intro zenon_H189 ].
% 0.67/0.90 apply (zenon_L312_); trivial.
% 0.67/0.90 apply (zenon_L103_); trivial.
% 0.67/0.90 (* end of lemma zenon_L385_ *)
% 0.67/0.90 assert (zenon_L386_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (c1_1 (a3)) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp13)\/(hskp14))) -> (~(hskp13)) -> (ndr1_0) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (~(hskp9)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> False).
% 0.67/0.90 do 0 intro. intros zenon_H112 zenon_H2e zenon_H6d zenon_H25 zenon_H214 zenon_Hf2 zenon_Hf5 zenon_H2a2 zenon_H15 zenon_Ha zenon_H209 zenon_H20a zenon_H144 zenon_H1ba zenon_H118 zenon_H119 zenon_H11a zenon_H1f5 zenon_H5f.
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ].
% 0.67/0.90 apply (zenon_L314_); trivial.
% 0.67/0.90 apply (zenon_L164_); trivial.
% 0.67/0.90 (* end of lemma zenon_L386_ *)
% 0.67/0.90 assert (zenon_L387_ : (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13))))) -> (ndr1_0) -> (forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> False).
% 0.67/0.90 do 0 intro. intros zenon_H222 zenon_Ha zenon_H148 zenon_H1d8 zenon_H1d9.
% 0.67/0.90 generalize (zenon_H222 (a15)). zenon_intro zenon_H2bd.
% 0.67/0.90 apply (zenon_imply_s _ _ zenon_H2bd); [ zenon_intro zenon_H9 | zenon_intro zenon_H2be ].
% 0.67/0.90 exact (zenon_H9 zenon_Ha).
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H2bf | zenon_intro zenon_H1dc ].
% 0.67/0.90 generalize (zenon_H148 (a15)). zenon_intro zenon_H2c0.
% 0.67/0.90 apply (zenon_imply_s _ _ zenon_H2c0); [ zenon_intro zenon_H9 | zenon_intro zenon_H2c1 ].
% 0.67/0.90 exact (zenon_H9 zenon_Ha).
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H1df | zenon_intro zenon_H2c2 ].
% 0.67/0.90 exact (zenon_H1d8 zenon_H1df).
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2c3 ].
% 0.67/0.90 exact (zenon_H1d9 zenon_H1de).
% 0.67/0.90 exact (zenon_H2c3 zenon_H2bf).
% 0.67/0.90 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1df | zenon_intro zenon_H1de ].
% 0.67/0.90 exact (zenon_H1d8 zenon_H1df).
% 0.67/0.90 exact (zenon_H1d9 zenon_H1de).
% 0.67/0.90 (* end of lemma zenon_L387_ *)
% 0.67/0.90 assert (zenon_L388_ : ((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H7d zenon_H232 zenon_H118 zenon_H119 zenon_H11a zenon_H1a7 zenon_H1d9 zenon_H1d8 zenon_H1d7.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_Ha. zenon_intro zenon_H7e.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H71. zenon_intro zenon_H7f.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H72. zenon_intro zenon_H70.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H222 | zenon_intro zenon_H233 ].
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H117 | zenon_intro zenon_H1a8 ].
% 0.67/0.91 apply (zenon_L73_); trivial.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6f | zenon_intro zenon_H148 ].
% 0.67/0.91 apply (zenon_L28_); trivial.
% 0.67/0.91 apply (zenon_L387_); trivial.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H6f ].
% 0.67/0.91 apply (zenon_L136_); trivial.
% 0.67/0.91 apply (zenon_L28_); trivial.
% 0.67/0.91 (* end of lemma zenon_L388_ *)
% 0.67/0.91 assert (zenon_L389_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c1_1 (a15))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (ndr1_0) -> (~(c2_1 (a3))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(hskp16)) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H81 zenon_H232 zenon_H1d7 zenon_H118 zenon_H119 zenon_H11a zenon_H1d8 zenon_H1d9 zenon_H1a7 zenon_H41 zenon_Ha zenon_H209 zenon_H214 zenon_H20a zenon_H1 zenon_Hd4 zenon_H230 zenon_H57 zenon_H5a zenon_H5f.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ].
% 0.67/0.91 apply (zenon_L335_); trivial.
% 0.67/0.91 apply (zenon_L388_); trivial.
% 0.67/0.91 (* end of lemma zenon_L389_ *)
% 0.67/0.91 assert (zenon_L390_ : ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (c0_1 (a27)) -> (c3_1 (a27)) -> (~(c1_1 (a27))) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (ndr1_0) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H24c zenon_Hd zenon_He zenon_Hc zenon_H6f zenon_Ha zenon_H2a8 zenon_H2a9 zenon_H2aa.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_He9 | zenon_intro zenon_H24d ].
% 0.67/0.91 apply (zenon_L177_); trivial.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1ae | zenon_intro zenon_H8f ].
% 0.67/0.91 apply (zenon_L188_); trivial.
% 0.67/0.91 apply (zenon_L351_); trivial.
% 0.67/0.91 (* end of lemma zenon_L390_ *)
% 0.67/0.91 assert (zenon_L391_ : ((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c1_1 (a15))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(c2_1 (a3))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H23e zenon_H112 zenon_H2e zenon_H6d zenon_H25 zenon_Hf2 zenon_Hf5 zenon_H81 zenon_H232 zenon_H1d7 zenon_H118 zenon_H119 zenon_H11a zenon_H1d8 zenon_H1d9 zenon_H1a7 zenon_H41 zenon_H209 zenon_H214 zenon_H20a zenon_H230 zenon_H57 zenon_H5a zenon_H5f zenon_H62 zenon_H3b zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H24c zenon_H84.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H23f.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H31. zenon_intro zenon_H240.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H32. zenon_intro zenon_H30.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ].
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ].
% 0.67/0.91 apply (zenon_L389_); trivial.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H82.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Hd. zenon_intro zenon_H83.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ].
% 0.67/0.91 apply (zenon_L25_); trivial.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_Ha. zenon_intro zenon_H7e.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H71. zenon_intro zenon_H7f.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H72. zenon_intro zenon_H70.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H222 | zenon_intro zenon_H233 ].
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H117 | zenon_intro zenon_H1a8 ].
% 0.67/0.91 apply (zenon_L73_); trivial.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6f | zenon_intro zenon_H148 ].
% 0.67/0.91 apply (zenon_L390_); trivial.
% 0.67/0.91 apply (zenon_L387_); trivial.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H6f ].
% 0.67/0.91 apply (zenon_L136_); trivial.
% 0.67/0.91 apply (zenon_L28_); trivial.
% 0.67/0.91 apply (zenon_L164_); trivial.
% 0.67/0.91 (* end of lemma zenon_L391_ *)
% 0.67/0.91 assert (zenon_L392_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp24)) -> (~(hskp3)) -> (~(hskp5)) -> (~(hskp25)) -> ((hskp5)\/((hskp25)\/(hskp28))) -> False).
% 0.67/0.91 do 0 intro. intros zenon_He6 zenon_H6d zenon_H17 zenon_H25 zenon_H1ce zenon_H1d0 zenon_H1d2.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ].
% 0.67/0.91 apply (zenon_L133_); trivial.
% 0.67/0.91 apply (zenon_L56_); trivial.
% 0.67/0.91 (* end of lemma zenon_L392_ *)
% 0.67/0.91 assert (zenon_L393_ : ((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(c2_1 (a3))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (~(hskp5)) -> ((hskp5)\/((hskp25)\/(hskp28))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H1c4 zenon_H2e zenon_Hf5 zenon_Hf2 zenon_H20a zenon_H214 zenon_H209 zenon_He6 zenon_H6d zenon_H25 zenon_H1ce zenon_H1d2 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1eb zenon_H1ef.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_Ha. zenon_intro zenon_H1c5.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H88. zenon_intro zenon_H1c6.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H86. zenon_intro zenon_H87.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ].
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1ea ].
% 0.67/0.91 apply (zenon_L392_); trivial.
% 0.67/0.91 apply (zenon_L138_); trivial.
% 0.67/0.91 apply (zenon_L158_); trivial.
% 0.67/0.91 (* end of lemma zenon_L393_ *)
% 0.67/0.91 assert (zenon_L394_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> (ndr1_0) -> (~(hskp13)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp13)\/(hskp14))) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H112 zenon_H2e zenon_H6d zenon_H25 zenon_Hf2 zenon_Hf5 zenon_H1c8 zenon_H198 zenon_H197 zenon_H196 zenon_H214 zenon_H20a zenon_H209 zenon_Ha zenon_H15 zenon_H2a2.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ].
% 0.67/0.91 apply (zenon_L317_); trivial.
% 0.67/0.91 apply (zenon_L164_); trivial.
% 0.67/0.91 (* end of lemma zenon_L394_ *)
% 0.67/0.91 assert (zenon_L395_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp13)\/(hskp14))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a3)) -> (~(hskp3)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((hskp5)\/((hskp25)\/(hskp28))) -> (~(hskp5)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H1f2 zenon_H1f1 zenon_H1c8 zenon_H241 zenon_H81 zenon_H232 zenon_H1a7 zenon_H41 zenon_H230 zenon_H5a zenon_H62 zenon_H3b zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H24c zenon_H84 zenon_H5f zenon_H1f5 zenon_H11a zenon_H119 zenon_H118 zenon_H1ba zenon_H20a zenon_H209 zenon_H2a2 zenon_Hf5 zenon_Hf2 zenon_H214 zenon_H25 zenon_H6d zenon_H2e zenon_H112 zenon_H1ef zenon_H1eb zenon_H1d2 zenon_H1ce zenon_He6 zenon_H1c7.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c4 ].
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ].
% 0.67/0.91 apply (zenon_L386_); trivial.
% 0.67/0.91 apply (zenon_L391_); trivial.
% 0.67/0.91 apply (zenon_L393_); trivial.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c4 ].
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ].
% 0.67/0.91 apply (zenon_L394_); trivial.
% 0.67/0.91 apply (zenon_L391_); trivial.
% 0.67/0.91 apply (zenon_L393_); trivial.
% 0.67/0.91 (* end of lemma zenon_L395_ *)
% 0.67/0.91 assert (zenon_L396_ : (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13))))) -> (ndr1_0) -> (~(c0_1 (a13))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c1_1 (a13))) -> (~(c3_1 (a13))) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H222 zenon_Ha zenon_H139 zenon_H1b zenon_H13a zenon_H13b.
% 0.67/0.91 generalize (zenon_H222 (a13)). zenon_intro zenon_H2c4.
% 0.67/0.91 apply (zenon_imply_s _ _ zenon_H2c4); [ zenon_intro zenon_H9 | zenon_intro zenon_H2c5 ].
% 0.67/0.91 exact (zenon_H9 zenon_Ha).
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H13f | zenon_intro zenon_H297 ].
% 0.67/0.91 exact (zenon_H139 zenon_H13f).
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H297); [ zenon_intro zenon_H290 | zenon_intro zenon_H140 ].
% 0.67/0.91 apply (zenon_L271_); trivial.
% 0.67/0.91 exact (zenon_H13b zenon_H140).
% 0.67/0.91 (* end of lemma zenon_L396_ *)
% 0.67/0.91 assert (zenon_L397_ : ((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp5)) -> (~(c0_1 (a13))) -> (~(c1_1 (a13))) -> (~(c3_1 (a13))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp5))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(c2_1 (a3))) -> (~(hskp1)) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H189 zenon_Hf5 zenon_H1ce zenon_H139 zenon_H13a zenon_H13b zenon_H266 zenon_H20a zenon_H214 zenon_H209 zenon_Hf2.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_Ha. zenon_intro zenon_H18a.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H180. zenon_intro zenon_H18b.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17e. zenon_intro zenon_H17f.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1b | zenon_intro zenon_Hf7 ].
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H222 | zenon_intro zenon_H267 ].
% 0.67/0.91 apply (zenon_L396_); trivial.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H17d | zenon_intro zenon_H1cf ].
% 0.67/0.91 apply (zenon_L101_); trivial.
% 0.67/0.91 exact (zenon_H1ce zenon_H1cf).
% 0.67/0.91 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hea | zenon_intro zenon_Hf3 ].
% 0.67/0.91 apply (zenon_L157_); trivial.
% 0.67/0.91 exact (zenon_Hf2 zenon_Hf3).
% 0.67/0.91 (* end of lemma zenon_L397_ *)
% 0.67/0.91 assert (zenon_L398_ : ((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16)))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a13))) -> (~(c1_1 (a13))) -> (~(c3_1 (a13))) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp5))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H1a2 zenon_H18c zenon_Hf5 zenon_Hf2 zenon_H139 zenon_H13a zenon_H13b zenon_H1ce zenon_H266 zenon_H1c8 zenon_H214 zenon_H20a zenon_H209 zenon_H26a.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H154 | zenon_intro zenon_H189 ].
% 0.67/0.91 apply (zenon_L312_); trivial.
% 0.67/0.91 apply (zenon_L397_); trivial.
% 0.67/0.91 (* end of lemma zenon_L398_ *)
% 0.67/0.91 assert (zenon_L399_ : ((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (c0_1 (a11)) -> (~(c2_1 (a11))) -> (~(c1_1 (a11))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H1a2 zenon_H1a1 zenon_H206 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H26a zenon_H209 zenon_H20a zenon_H214 zenon_H1c8 zenon_Hf2 zenon_H187 zenon_H18c.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ].
% 0.67/0.91 apply (zenon_L385_); trivial.
% 0.67/0.91 apply (zenon_L322_); trivial.
% 0.67/0.91 (* end of lemma zenon_L399_ *)
% 0.67/0.91 assert (zenon_L400_ : ((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H80 zenon_H1a7 zenon_H11a zenon_H119 zenon_H118 zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H24c zenon_H149 zenon_H14a zenon_H14b.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H82.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Hd. zenon_intro zenon_H83.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H117 | zenon_intro zenon_H1a8 ].
% 0.67/0.91 apply (zenon_L73_); trivial.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6f | zenon_intro zenon_H148 ].
% 0.67/0.91 apply (zenon_L390_); trivial.
% 0.67/0.91 apply (zenon_L86_); trivial.
% 0.67/0.91 (* end of lemma zenon_L400_ *)
% 0.67/0.91 assert (zenon_L401_ : ((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(c2_1 (a3))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H10f zenon_H2e zenon_Hf5 zenon_Hf2 zenon_H20a zenon_H214 zenon_H209 zenon_H118 zenon_H119 zenon_H11a zenon_H6d zenon_H25 zenon_H149 zenon_H14a zenon_H14b zenon_H1a7.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha. zenon_intro zenon_H110.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Hf9. zenon_intro zenon_H111.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_Hfa. zenon_intro zenon_Hf8.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ].
% 0.67/0.91 apply (zenon_L113_); trivial.
% 0.67/0.91 apply (zenon_L158_); trivial.
% 0.67/0.91 (* end of lemma zenon_L401_ *)
% 0.67/0.91 assert (zenon_L402_ : ((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (c0_1 (a9)) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp20))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> (~(hskp9)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H10f zenon_H81 zenon_H1a7 zenon_H14b zenon_H14a zenon_H149 zenon_H2b2 zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H41 zenon_H118 zenon_H119 zenon_H11a zenon_H144 zenon_H1f5 zenon_H5f zenon_H62.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha. zenon_intro zenon_H110.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Hf9. zenon_intro zenon_H111.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_Hfa. zenon_intro zenon_Hf8.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ].
% 0.67/0.91 apply (zenon_L381_); trivial.
% 0.67/0.91 apply (zenon_L262_); trivial.
% 0.67/0.91 (* end of lemma zenon_L402_ *)
% 0.67/0.91 assert (zenon_L403_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> (c2_1 (a21)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(c2_1 (a3))) -> (ndr1_0) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H84 zenon_H3b zenon_H32 zenon_H31 zenon_H30 zenon_H62 zenon_H5f zenon_H1f5 zenon_H144 zenon_H11a zenon_H119 zenon_H118 zenon_H230 zenon_Hd4 zenon_H20a zenon_H214 zenon_H209 zenon_Ha zenon_H41 zenon_H149 zenon_H14a zenon_H14b zenon_H1a7 zenon_H81.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ].
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ].
% 0.67/0.91 apply (zenon_L326_); trivial.
% 0.67/0.91 apply (zenon_L262_); trivial.
% 0.67/0.91 apply (zenon_L268_); trivial.
% 0.67/0.91 (* end of lemma zenon_L403_ *)
% 0.67/0.91 assert (zenon_L404_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> (c1_1 (a3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> (ndr1_0) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp13)\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp20))) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H241 zenon_H214 zenon_H230 zenon_H3b zenon_H84 zenon_H5f zenon_H1f5 zenon_H11a zenon_H119 zenon_H118 zenon_H1ba zenon_H144 zenon_H20a zenon_H209 zenon_Ha zenon_H2a2 zenon_H62 zenon_H41 zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H2b2 zenon_H149 zenon_H14a zenon_H14b zenon_H1a7 zenon_H81 zenon_H112.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ].
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ].
% 0.67/0.91 apply (zenon_L314_); trivial.
% 0.67/0.91 apply (zenon_L402_); trivial.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H23f.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H31. zenon_intro zenon_H240.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H32. zenon_intro zenon_H30.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ].
% 0.67/0.91 apply (zenon_L403_); trivial.
% 0.67/0.91 apply (zenon_L402_); trivial.
% 0.67/0.91 (* end of lemma zenon_L404_ *)
% 0.67/0.91 assert (zenon_L405_ : ((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (c0_1 (a9)) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> (c2_1 (a21)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H80 zenon_H81 zenon_H1a7 zenon_H14b zenon_H14a zenon_H149 zenon_H11a zenon_H119 zenon_H118 zenon_H3b zenon_H32 zenon_H31 zenon_H30 zenon_H41 zenon_H57 zenon_H5a zenon_H5f zenon_H62.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H82.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Hd. zenon_intro zenon_H83.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ].
% 0.67/0.91 apply (zenon_L25_); trivial.
% 0.67/0.91 apply (zenon_L262_); trivial.
% 0.67/0.91 (* end of lemma zenon_L405_ *)
% 0.67/0.91 assert (zenon_L406_ : ((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (c0_1 (a9)) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(c2_1 (a3))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H23e zenon_H112 zenon_H2e zenon_Hf5 zenon_Hf2 zenon_H6d zenon_H25 zenon_H81 zenon_H1a7 zenon_H14b zenon_H14a zenon_H149 zenon_H11a zenon_H119 zenon_H118 zenon_H41 zenon_H209 zenon_H214 zenon_H20a zenon_H230 zenon_H57 zenon_H5a zenon_H5f zenon_H62 zenon_H3b zenon_H84.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H23f.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H31. zenon_intro zenon_H240.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H32. zenon_intro zenon_H30.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ].
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ].
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ].
% 0.67/0.91 apply (zenon_L335_); trivial.
% 0.67/0.91 apply (zenon_L262_); trivial.
% 0.67/0.91 apply (zenon_L405_); trivial.
% 0.67/0.91 apply (zenon_L401_); trivial.
% 0.67/0.91 (* end of lemma zenon_L406_ *)
% 0.67/0.91 assert (zenon_L407_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp13)\/(hskp14))) -> (ndr1_0) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (c0_1 (a9)) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> (~(hskp3)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H241 zenon_H81 zenon_H41 zenon_H230 zenon_H57 zenon_H5a zenon_H5f zenon_H62 zenon_H3b zenon_H84 zenon_H2a2 zenon_Ha zenon_H209 zenon_H20a zenon_H214 zenon_H196 zenon_H197 zenon_H198 zenon_H1c8 zenon_H1a7 zenon_H14b zenon_H14a zenon_H149 zenon_H25 zenon_H6d zenon_H11a zenon_H119 zenon_H118 zenon_Hf2 zenon_Hf5 zenon_H2e zenon_H112.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ].
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ].
% 0.67/0.91 apply (zenon_L317_); trivial.
% 0.67/0.91 apply (zenon_L401_); trivial.
% 0.67/0.91 apply (zenon_L406_); trivial.
% 0.67/0.91 (* end of lemma zenon_L407_ *)
% 0.67/0.91 assert (zenon_L408_ : ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c0_1 (a19))) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> (forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c1_1 W)))))) -> (ndr1_0) -> (~(c1_1 (a70))) -> (~(c3_1 (a70))) -> (c0_1 (a70)) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H1eb zenon_H88 zenon_H87 zenon_H86 zenon_H14a zenon_H149 zenon_H270 zenon_Ha zenon_H1e1 zenon_H1e2 zenon_H1e3.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H85 | zenon_intro zenon_H1ee ].
% 0.67/0.91 apply (zenon_L35_); trivial.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e0 ].
% 0.67/0.91 apply (zenon_L231_); trivial.
% 0.67/0.91 apply (zenon_L137_); trivial.
% 0.67/0.91 (* end of lemma zenon_L408_ *)
% 0.67/0.91 assert (zenon_L409_ : ((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (~(hskp5)) -> ((hskp5)\/((hskp25)\/(hskp28))) -> (~(c0_1 (a13))) -> (~(c1_1 (a13))) -> (~(c3_1 (a13))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H1c4 zenon_H2e zenon_Hf5 zenon_Hf2 zenon_He6 zenon_H6d zenon_H25 zenon_H1ce zenon_H1d2 zenon_H139 zenon_H13a zenon_H13b zenon_H279 zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H149 zenon_H14a zenon_H1eb zenon_H214 zenon_H20a zenon_H209 zenon_H2c6 zenon_H1ef.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_Ha. zenon_intro zenon_H1c5.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H88. zenon_intro zenon_H1c6.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H86. zenon_intro zenon_H87.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ].
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1ea ].
% 0.67/0.91 apply (zenon_L392_); trivial.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1e3. zenon_intro zenon_H1ed.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1e1. zenon_intro zenon_H1e2.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H138 | zenon_intro zenon_H2c7 ].
% 0.67/0.91 apply (zenon_L82_); trivial.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_Hca | zenon_intro zenon_Hea ].
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H64 | zenon_intro zenon_H27a ].
% 0.67/0.91 apply (zenon_L159_); trivial.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H270 | zenon_intro zenon_H8f ].
% 0.67/0.91 apply (zenon_L408_); trivial.
% 0.67/0.91 apply (zenon_L351_); trivial.
% 0.67/0.91 apply (zenon_L157_); trivial.
% 0.67/0.91 apply (zenon_L158_); trivial.
% 0.67/0.91 (* end of lemma zenon_L409_ *)
% 0.67/0.91 assert (zenon_L410_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp12))) -> (c2_1 (a42)) -> (c0_1 (a42)) -> (~(c1_1 (a42))) -> (~(hskp12)) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H25b zenon_H2c8 zenon_H15b zenon_H15a zenon_H159 zenon_H154.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_Ha. zenon_intro zenon_H25d.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H252. zenon_intro zenon_H25e.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H253. zenon_intro zenon_H254.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H158 | zenon_intro zenon_H2c9 ].
% 0.67/0.91 apply (zenon_L90_); trivial.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H155 ].
% 0.67/0.91 apply (zenon_L200_); trivial.
% 0.67/0.91 exact (zenon_H154 zenon_H155).
% 0.67/0.91 (* end of lemma zenon_L410_ *)
% 0.67/0.91 assert (zenon_L411_ : ((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp13)) -> (~(hskp8)) -> ((hskp27)\/((hskp13)\/(hskp8))) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H18e zenon_H260 zenon_H2c8 zenon_H154 zenon_H15 zenon_H1ca zenon_H250.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15a. zenon_intro zenon_H190.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H24e | zenon_intro zenon_H25b ].
% 0.67/0.91 apply (zenon_L199_); trivial.
% 0.67/0.91 apply (zenon_L410_); trivial.
% 0.67/0.91 (* end of lemma zenon_L411_ *)
% 0.67/0.91 assert (zenon_L412_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp12))) -> (~(hskp13)) -> (~(hskp8)) -> ((hskp27)\/((hskp13)\/(hskp8))) -> (ndr1_0) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> (~(hskp12)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp22)\/(hskp12))) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H18d zenon_H260 zenon_H2c8 zenon_H15 zenon_H1ca zenon_H250 zenon_Ha zenon_H149 zenon_H14a zenon_H14b zenon_H154 zenon_H156.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ].
% 0.67/0.91 apply (zenon_L89_); trivial.
% 0.67/0.91 apply (zenon_L411_); trivial.
% 0.67/0.91 (* end of lemma zenon_L412_ *)
% 0.67/0.91 assert (zenon_L413_ : ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp12))) -> (c2_1 (a42)) -> (c0_1 (a42)) -> (~(c1_1 (a42))) -> (c1_1 (a25)) -> (c3_1 (a25)) -> (c2_1 (a25)) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (ndr1_0) -> (~(hskp12)) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H2c8 zenon_H15b zenon_H15a zenon_H159 zenon_Hb3 zenon_Hb5 zenon_Hb4 zenon_H9c zenon_Ha zenon_H154.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H158 | zenon_intro zenon_H2c9 ].
% 0.67/0.91 apply (zenon_L90_); trivial.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H155 ].
% 0.67/0.91 apply (zenon_L48_); trivial.
% 0.67/0.91 exact (zenon_H154 zenon_H155).
% 0.67/0.91 (* end of lemma zenon_L413_ *)
% 0.67/0.91 assert (zenon_L414_ : ((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp12))) -> (~(c1_1 (a42))) -> (c0_1 (a42)) -> (c2_1 (a42)) -> (~(hskp12)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((hskp30)\/(hskp12))) -> False).
% 0.67/0.91 do 0 intro. intros zenon_Hc7 zenon_H174 zenon_H17b zenon_H2c8 zenon_H159 zenon_H15a zenon_H15b zenon_H154 zenon_H164.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Ha. zenon_intro zenon_Hc8.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb3. zenon_intro zenon_Hc9.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H162 | zenon_intro zenon_H175 ].
% 0.67/0.91 apply (zenon_L92_); trivial.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H177.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H167. zenon_intro zenon_H168.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H9c | zenon_intro zenon_H17c ].
% 0.67/0.91 apply (zenon_L413_); trivial.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H178 | zenon_intro zenon_H63 ].
% 0.67/0.91 apply (zenon_L98_); trivial.
% 0.67/0.91 apply (zenon_L55_); trivial.
% 0.67/0.91 (* end of lemma zenon_L414_ *)
% 0.67/0.91 assert (zenon_L415_ : ((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((hskp30)\/(hskp12))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(hskp19)) -> (~(c2_1 (a3))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(hskp16)) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H18e zenon_He6 zenon_H174 zenon_H17b zenon_H2c8 zenon_H154 zenon_H164 zenon_H41 zenon_H3f zenon_H209 zenon_H214 zenon_H20a zenon_H1 zenon_Hd4 zenon_H230 zenon_Hc5 zenon_Hb1 zenon_He7 zenon_H5f.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15a. zenon_intro zenon_H190.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ].
% 0.67/0.91 apply (zenon_L339_); trivial.
% 0.67/0.91 apply (zenon_L414_); trivial.
% 0.67/0.91 (* end of lemma zenon_L415_ *)
% 0.67/0.91 assert (zenon_L416_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp12))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((hskp30)\/(hskp12))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(hskp19)) -> (~(c2_1 (a3))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(hskp16)) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> (ndr1_0) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> (~(hskp12)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp22)\/(hskp12))) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H18d zenon_He6 zenon_H174 zenon_H17b zenon_H2c8 zenon_H164 zenon_H41 zenon_H3f zenon_H209 zenon_H214 zenon_H20a zenon_H1 zenon_Hd4 zenon_H230 zenon_Hc5 zenon_Hb1 zenon_He7 zenon_H5f zenon_Ha zenon_H149 zenon_H14a zenon_H14b zenon_H154 zenon_H156.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ].
% 0.67/0.91 apply (zenon_L89_); trivial.
% 0.67/0.91 apply (zenon_L415_); trivial.
% 0.67/0.91 (* end of lemma zenon_L416_ *)
% 0.67/0.91 assert (zenon_L417_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> (~(hskp28)) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(hskp7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (ndr1_0) -> (~(c0_1 (a37))) -> (c1_1 (a37)) -> (c3_1 (a37)) -> (~(hskp19)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H5f zenon_He7 zenon_Haf zenon_H209 zenon_H20a zenon_H214 zenon_Hb1 zenon_Hc5 zenon_Ha zenon_H44 zenon_H43 zenon_H42 zenon_H3f zenon_H41.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3d | zenon_intro zenon_H59 ].
% 0.67/0.91 apply (zenon_L20_); trivial.
% 0.67/0.91 apply (zenon_L154_); trivial.
% 0.67/0.91 (* end of lemma zenon_L417_ *)
% 0.67/0.91 assert (zenon_L418_ : ((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((hskp30)\/(hskp12))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a37)) -> (c1_1 (a37)) -> (~(c0_1 (a37))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H18e zenon_He6 zenon_H174 zenon_H17b zenon_H2c8 zenon_H154 zenon_H164 zenon_H41 zenon_H3f zenon_H42 zenon_H43 zenon_H44 zenon_Hc5 zenon_Hb1 zenon_H214 zenon_H20a zenon_H209 zenon_He7 zenon_H5f.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15a. zenon_intro zenon_H190.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ].
% 0.67/0.91 apply (zenon_L417_); trivial.
% 0.67/0.91 apply (zenon_L414_); trivial.
% 0.67/0.91 (* end of lemma zenon_L418_ *)
% 0.67/0.91 assert (zenon_L419_ : ((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp12))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((hskp30)\/(hskp12))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(hskp19)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> (~(hskp12)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp22)\/(hskp12))) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H5e zenon_H18d zenon_He6 zenon_H174 zenon_H17b zenon_H2c8 zenon_H164 zenon_H41 zenon_H3f zenon_Hc5 zenon_Hb1 zenon_H214 zenon_H20a zenon_H209 zenon_He7 zenon_H5f zenon_H149 zenon_H14a zenon_H14b zenon_H154 zenon_H156.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_Ha. zenon_intro zenon_H60.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H43. zenon_intro zenon_H61.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H42. zenon_intro zenon_H44.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ].
% 0.67/0.91 apply (zenon_L89_); trivial.
% 0.67/0.91 apply (zenon_L418_); trivial.
% 0.67/0.91 (* end of lemma zenon_L419_ *)
% 0.67/0.91 assert (zenon_L420_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp12))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((hskp30)\/(hskp12))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(hskp19)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> (~(hskp12)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp22)\/(hskp12))) -> (ndr1_0) -> (~(c1_1 (a27))) -> (c0_1 (a27)) -> (c3_1 (a27)) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (c2_1 (a21)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H62 zenon_H18d zenon_He6 zenon_H174 zenon_H17b zenon_H2c8 zenon_H164 zenon_H41 zenon_H3f zenon_Hc5 zenon_Hb1 zenon_H214 zenon_H20a zenon_H209 zenon_He7 zenon_H5f zenon_H149 zenon_H14a zenon_H14b zenon_H154 zenon_H156 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H30 zenon_H31 zenon_H32 zenon_H3b.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H39 | zenon_intro zenon_H5e ].
% 0.67/0.91 apply (zenon_L17_); trivial.
% 0.67/0.91 apply (zenon_L419_); trivial.
% 0.67/0.91 (* end of lemma zenon_L420_ *)
% 0.67/0.91 assert (zenon_L421_ : ((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp10)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> (c2_1 (a21)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp22)\/(hskp12))) -> (~(hskp12)) -> (c0_1 (a9)) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(hskp7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((hskp30)\/(hskp12))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H80 zenon_H81 zenon_H1ba zenon_H144 zenon_H79 zenon_H7b zenon_H3b zenon_H32 zenon_H31 zenon_H30 zenon_H156 zenon_H154 zenon_H14b zenon_H14a zenon_H149 zenon_H5f zenon_He7 zenon_H209 zenon_H20a zenon_H214 zenon_Hb1 zenon_Hc5 zenon_H41 zenon_H164 zenon_H2c8 zenon_H17b zenon_H174 zenon_He6 zenon_H18d zenon_H62.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H82.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Hd. zenon_intro zenon_H83.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ].
% 0.67/0.91 apply (zenon_L420_); trivial.
% 0.67/0.91 apply (zenon_L342_); trivial.
% 0.67/0.91 (* end of lemma zenon_L421_ *)
% 0.67/0.91 assert (zenon_L422_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(c0_1 (a22))) -> (c3_1 (a54)) -> (c2_1 (a54)) -> (c0_1 (a54)) -> (ndr1_0) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (c2_1 (a22)) -> (c3_1 (a22)) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H17b zenon_Hf8 zenon_H168 zenon_H167 zenon_H166 zenon_Ha zenon_H6f zenon_Hf9 zenon_Hfa.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H9c | zenon_intro zenon_H17c ].
% 0.67/0.91 apply (zenon_L61_); trivial.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H178 | zenon_intro zenon_H63 ].
% 0.67/0.91 apply (zenon_L98_); trivial.
% 0.67/0.91 apply (zenon_L111_); trivial.
% 0.67/0.91 (* end of lemma zenon_L422_ *)
% 0.67/0.91 assert (zenon_L423_ : ((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp7)) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (c0_1 (a35)) -> (c1_1 (a35)) -> (c2_1 (a35)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (c3_1 (a22)) -> (c2_1 (a22)) -> (~(c0_1 (a22))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp10)) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H175 zenon_H7b zenon_Hb1 zenon_H209 zenon_H20a zenon_H214 zenon_H4e zenon_H4f zenon_H50 zenon_Hc5 zenon_Hfa zenon_Hf9 zenon_Hf8 zenon_H17b zenon_H79.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H177.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H167. zenon_intro zenon_H168.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H64 | zenon_intro zenon_H7c ].
% 0.67/0.91 apply (zenon_L153_); trivial.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H6f | zenon_intro zenon_H7a ].
% 0.67/0.91 apply (zenon_L422_); trivial.
% 0.67/0.91 exact (zenon_H79 zenon_H7a).
% 0.67/0.91 (* end of lemma zenon_L423_ *)
% 0.67/0.91 assert (zenon_L424_ : ((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a22))) -> (c2_1 (a22)) -> (c3_1 (a22)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(hskp7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((hskp30)\/(hskp12))) -> (~(hskp19)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> (~(hskp12)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp22)\/(hskp12))) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H5e zenon_H18d zenon_H5f zenon_H174 zenon_H7b zenon_H79 zenon_Hf8 zenon_Hf9 zenon_Hfa zenon_H17b zenon_H209 zenon_H20a zenon_H214 zenon_Hb1 zenon_Hc5 zenon_H164 zenon_H3f zenon_H41 zenon_H149 zenon_H14a zenon_H14b zenon_H154 zenon_H156.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_Ha. zenon_intro zenon_H60.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H43. zenon_intro zenon_H61.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H42. zenon_intro zenon_H44.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ].
% 0.67/0.91 apply (zenon_L89_); trivial.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15a. zenon_intro zenon_H190.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3d | zenon_intro zenon_H59 ].
% 0.67/0.91 apply (zenon_L20_); trivial.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_Ha. zenon_intro zenon_H5b.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H4e. zenon_intro zenon_H5c.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4f. zenon_intro zenon_H50.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H162 | zenon_intro zenon_H175 ].
% 0.67/0.91 apply (zenon_L92_); trivial.
% 0.67/0.91 apply (zenon_L423_); trivial.
% 0.67/0.91 (* end of lemma zenon_L424_ *)
% 0.67/0.91 assert (zenon_L425_ : ((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp20))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp22)\/(hskp12))) -> (~(hskp12)) -> (c0_1 (a9)) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((hskp30)\/(hskp12))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp10)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H10f zenon_H81 zenon_H1ba zenon_H144 zenon_H2b2 zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H156 zenon_H154 zenon_H14b zenon_H14a zenon_H149 zenon_H41 zenon_H164 zenon_Hc5 zenon_Hb1 zenon_H214 zenon_H20a zenon_H209 zenon_H17b zenon_H79 zenon_H7b zenon_H174 zenon_H5f zenon_H18d zenon_H62.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha. zenon_intro zenon_H110.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Hf9. zenon_intro zenon_H111.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_Hfa. zenon_intro zenon_Hf8.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ].
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H39 | zenon_intro zenon_H5e ].
% 0.67/0.91 apply (zenon_L355_); trivial.
% 0.67/0.91 apply (zenon_L424_); trivial.
% 0.67/0.91 apply (zenon_L342_); trivial.
% 0.67/0.91 (* end of lemma zenon_L425_ *)
% 0.67/0.91 assert (zenon_L426_ : (forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))) -> (ndr1_0) -> (~(c3_1 (a1))) -> (forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55)))))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H195 zenon_Ha zenon_H2a8 zenon_H2ca zenon_H2a9 zenon_H2aa.
% 0.67/0.91 generalize (zenon_H195 (a1)). zenon_intro zenon_H2cb.
% 0.67/0.91 apply (zenon_imply_s _ _ zenon_H2cb); [ zenon_intro zenon_H9 | zenon_intro zenon_H2cc ].
% 0.67/0.91 exact (zenon_H9 zenon_Ha).
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2cd ].
% 0.67/0.91 exact (zenon_H2a8 zenon_H2ae).
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H2ce | zenon_intro zenon_H2b0 ].
% 0.67/0.91 generalize (zenon_H2ca (a1)). zenon_intro zenon_H2cf.
% 0.67/0.91 apply (zenon_imply_s _ _ zenon_H2cf); [ zenon_intro zenon_H9 | zenon_intro zenon_H2d0 ].
% 0.67/0.91 exact (zenon_H9 zenon_Ha).
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H2ad ].
% 0.67/0.91 exact (zenon_H2ce zenon_H2d1).
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2af ].
% 0.67/0.91 exact (zenon_H2b0 zenon_H2a9).
% 0.67/0.91 exact (zenon_H2af zenon_H2aa).
% 0.67/0.91 exact (zenon_H2b0 zenon_H2a9).
% 0.67/0.91 (* end of lemma zenon_L426_ *)
% 0.67/0.91 assert (zenon_L427_ : ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(hskp9))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> (~(c2_1 (a3))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9)))))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> (~(hskp9)) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H2d2 zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H209 zenon_H64 zenon_H20a zenon_H214 zenon_H1c8 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_Ha zenon_H144.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2ca | zenon_intro zenon_H2d3 ].
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Hca | zenon_intro zenon_H1c9 ].
% 0.67/0.91 apply (zenon_L159_); trivial.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1ae | zenon_intro zenon_H195 ].
% 0.67/0.91 apply (zenon_L150_); trivial.
% 0.67/0.91 apply (zenon_L426_); trivial.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H145 ].
% 0.67/0.91 apply (zenon_L136_); trivial.
% 0.67/0.91 exact (zenon_H144 zenon_H145).
% 0.67/0.91 (* end of lemma zenon_L427_ *)
% 0.67/0.91 assert (zenon_L428_ : ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(hskp9))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> (forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> (~(hskp9)) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H2d2 zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H195 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_Ha zenon_H144.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2ca | zenon_intro zenon_H2d3 ].
% 0.67/0.91 apply (zenon_L426_); trivial.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H145 ].
% 0.67/0.91 apply (zenon_L136_); trivial.
% 0.67/0.91 exact (zenon_H144 zenon_H145).
% 0.67/0.91 (* end of lemma zenon_L428_ *)
% 0.67/0.91 assert (zenon_L429_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> (~(hskp9)) -> (ndr1_0) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(hskp9))) -> (~(hskp12)) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H26a zenon_H1c8 zenon_H214 zenon_H20a zenon_H209 zenon_H144 zenon_Ha zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H2d2 zenon_H154.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H64 | zenon_intro zenon_H26b ].
% 0.67/0.91 apply (zenon_L427_); trivial.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H195 | zenon_intro zenon_H155 ].
% 0.67/0.91 apply (zenon_L428_); trivial.
% 0.67/0.91 exact (zenon_H154 zenon_H155).
% 0.67/0.91 (* end of lemma zenon_L429_ *)
% 0.67/0.91 assert (zenon_L430_ : ((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (~(hskp9)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(hskp9))) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H191 zenon_H206 zenon_H144 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1c8 zenon_H214 zenon_H20a zenon_H209 zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H2d2 zenon_H1fd zenon_H1fe zenon_H1ff.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H207 ].
% 0.67/0.91 apply (zenon_L143_); trivial.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H64 | zenon_intro zenon_H1fc ].
% 0.67/0.91 apply (zenon_L427_); trivial.
% 0.67/0.91 apply (zenon_L144_); trivial.
% 0.67/0.91 (* end of lemma zenon_L430_ *)
% 0.67/0.91 assert (zenon_L431_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(hskp9))) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H1f2 zenon_H1f1 zenon_H18c zenon_H187 zenon_Hf2 zenon_H2d2 zenon_H209 zenon_H20a zenon_H214 zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H1c8 zenon_H26a zenon_H1fd zenon_H1fe zenon_H1ff zenon_H206 zenon_H1a1.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ].
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H154 | zenon_intro zenon_H189 ].
% 0.67/0.91 apply (zenon_L429_); trivial.
% 0.67/0.91 apply (zenon_L103_); trivial.
% 0.67/0.91 apply (zenon_L430_); trivial.
% 0.67/0.91 apply (zenon_L399_); trivial.
% 0.67/0.91 (* end of lemma zenon_L431_ *)
% 0.67/0.91 assert (zenon_L432_ : ((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (c0_1 (a11)) -> (~(c2_1 (a11))) -> (~(c1_1 (a11))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H1a2 zenon_H1a1 zenon_H206 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H118 zenon_H119 zenon_H11a zenon_H149 zenon_H14a zenon_H14b zenon_H1a7 zenon_H26a zenon_H209 zenon_H20a zenon_H214 zenon_H1c8 zenon_Hf2 zenon_H187 zenon_H18c.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ].
% 0.67/0.91 apply (zenon_L385_); trivial.
% 0.67/0.91 apply (zenon_L282_); trivial.
% 0.67/0.91 (* end of lemma zenon_L432_ *)
% 0.67/0.91 assert (zenon_L433_ : ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16))))))) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> (c3_1 (a7)) -> (~(c2_1 (a7))) -> (ndr1_0) -> (c0_1 (a7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H1f1 zenon_H1ca zenon_H1cc zenon_H2bb zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H1b1 zenon_H1af zenon_Ha zenon_H1b0 zenon_H24c.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.91 apply (zenon_L378_); trivial.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_He9 | zenon_intro zenon_H24d ].
% 0.67/0.91 apply (zenon_L129_); trivial.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1ae | zenon_intro zenon_H8f ].
% 0.67/0.91 apply (zenon_L116_); trivial.
% 0.67/0.91 apply (zenon_L351_); trivial.
% 0.67/0.91 (* end of lemma zenon_L433_ *)
% 0.67/0.91 assert (zenon_L434_ : ((ndr1_0)/\((c0_1 (a7))/\((c3_1 (a7))/\(~(c2_1 (a7)))))) -> ((~(hskp5))\/((ndr1_0)/\((c0_1 (a11))/\((~(c1_1 (a11)))/\(~(c2_1 (a11))))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp11))) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp5)\/(hskp25))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp8))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H2d4 zenon_H2d5 zenon_H1a1 zenon_H206 zenon_H19f zenon_H103 zenon_H1f1 zenon_H1cc zenon_H2bb zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H24c zenon_H1b8 zenon_H209 zenon_H20a zenon_H214 zenon_H1c8 zenon_H2d6 zenon_H1eb zenon_H1ef zenon_H1c7 zenon_H1f0.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_Ha. zenon_intro zenon_H2d7.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_H1b0. zenon_intro zenon_H2d8.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_H1b1. zenon_intro zenon_H1af.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d9 ].
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ].
% 0.67/0.91 apply (zenon_L433_); trivial.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.91 apply (zenon_L378_); trivial.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c4 ].
% 0.67/0.91 apply (zenon_L167_); trivial.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_Ha. zenon_intro zenon_H1c5.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H88. zenon_intro zenon_H1c6.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H86. zenon_intro zenon_H87.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1ea ].
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_He9 | zenon_intro zenon_H24d ].
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H2da ].
% 0.67/0.91 apply (zenon_L119_); trivial.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1cf | zenon_intro zenon_H1d1 ].
% 0.67/0.91 exact (zenon_H1ce zenon_H1cf).
% 0.67/0.91 exact (zenon_H1d0 zenon_H1d1).
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1ae | zenon_intro zenon_H8f ].
% 0.67/0.91 apply (zenon_L116_); trivial.
% 0.67/0.91 apply (zenon_L351_); trivial.
% 0.67/0.91 apply (zenon_L138_); trivial.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_Ha. zenon_intro zenon_H2db.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H1ff. zenon_intro zenon_H2dc.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.91 apply (zenon_L378_); trivial.
% 0.67/0.91 apply (zenon_L345_); trivial.
% 0.67/0.91 (* end of lemma zenon_L434_ *)
% 0.67/0.91 assert (zenon_L435_ : ((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H18e zenon_H28c zenon_H225 zenon_H224 zenon_H223 zenon_H2a8 zenon_H2a9 zenon_H2aa.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15a. zenon_intro zenon_H190.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H222 | zenon_intro zenon_H28d ].
% 0.67/0.91 apply (zenon_L170_); trivial.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H158 | zenon_intro zenon_H8f ].
% 0.67/0.91 apply (zenon_L90_); trivial.
% 0.67/0.91 apply (zenon_L351_); trivial.
% 0.67/0.91 (* end of lemma zenon_L435_ *)
% 0.67/0.91 assert (zenon_L436_ : ((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp22)\/(hskp20))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H80 zenon_H81 zenon_H18d zenon_H28c zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H232 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H225 zenon_H224 zenon_H223 zenon_H28a zenon_H41 zenon_H57 zenon_H5a zenon_H5f zenon_H62.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H82.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Hd. zenon_intro zenon_H83.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ].
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H39 | zenon_intro zenon_H5e ].
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ].
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_He9 | zenon_intro zenon_H28b ].
% 0.67/0.91 apply (zenon_L178_); trivial.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H153 | zenon_intro zenon_H3a ].
% 0.67/0.91 exact (zenon_H152 zenon_H153).
% 0.67/0.91 exact (zenon_H39 zenon_H3a).
% 0.67/0.91 apply (zenon_L435_); trivial.
% 0.67/0.91 apply (zenon_L24_); trivial.
% 0.67/0.91 apply (zenon_L175_); trivial.
% 0.67/0.91 (* end of lemma zenon_L436_ *)
% 0.67/0.91 assert (zenon_L437_ : ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(hskp9))) -> (~(hskp10)) -> (~(hskp21)) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> (~(hskp9)) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H2d2 zenon_H79 zenon_Ha9 zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H19f zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_Ha zenon_H144.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2ca | zenon_intro zenon_H2d3 ].
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H195 | zenon_intro zenon_H1a0 ].
% 0.67/0.91 apply (zenon_L426_); trivial.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Haa | zenon_intro zenon_H7a ].
% 0.67/0.91 exact (zenon_Ha9 zenon_Haa).
% 0.67/0.91 exact (zenon_H79 zenon_H7a).
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H145 ].
% 0.67/0.91 apply (zenon_L136_); trivial.
% 0.67/0.91 exact (zenon_H144 zenon_H145).
% 0.67/0.91 (* end of lemma zenon_L437_ *)
% 0.67/0.91 assert (zenon_L438_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(hskp9))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> (~(hskp25)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp9)) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H25b zenon_H2d2 zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H1d4 zenon_H1d0 zenon_H1c8 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H144.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_Ha. zenon_intro zenon_H25d.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H252. zenon_intro zenon_H25e.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H253. zenon_intro zenon_H254.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2ca | zenon_intro zenon_H2d3 ].
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Hca | zenon_intro zenon_H1c9 ].
% 0.67/0.91 apply (zenon_L248_); trivial.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1ae | zenon_intro zenon_H195 ].
% 0.67/0.91 apply (zenon_L249_); trivial.
% 0.67/0.91 apply (zenon_L426_); trivial.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H145 ].
% 0.67/0.91 apply (zenon_L136_); trivial.
% 0.67/0.91 exact (zenon_H144 zenon_H145).
% 0.67/0.91 (* end of lemma zenon_L438_ *)
% 0.67/0.91 assert (zenon_L439_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> (~(hskp25)) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (ndr1_0) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> (~(c2_1 (a38))) -> (c0_1 (a38)) -> (c1_1 (a38)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H260 zenon_H2d2 zenon_H144 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H1d4 zenon_H1d0 zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H1c8 zenon_Ha zenon_H223 zenon_H224 zenon_H225 zenon_Hcb zenon_Hcc zenon_Hcd zenon_H268.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H24e | zenon_intro zenon_H25b ].
% 0.67/0.91 apply (zenon_L207_); trivial.
% 0.67/0.91 apply (zenon_L438_); trivial.
% 0.67/0.91 (* end of lemma zenon_L439_ *)
% 0.67/0.91 assert (zenon_L440_ : ((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c0_1 (a19))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(hskp9)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> False).
% 0.67/0.91 do 0 intro. intros zenon_Hd6 zenon_H1ef zenon_H1eb zenon_H88 zenon_H87 zenon_H86 zenon_H268 zenon_H225 zenon_H224 zenon_H223 zenon_H1c8 zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H1d4 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H144 zenon_H2d2 zenon_H260.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha. zenon_intro zenon_Hd8.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcc. zenon_intro zenon_Hd9.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1ea ].
% 0.67/0.91 apply (zenon_L439_); trivial.
% 0.67/0.91 apply (zenon_L138_); trivial.
% 0.67/0.91 (* end of lemma zenon_L440_ *)
% 0.67/0.91 assert (zenon_L441_ : ((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(hskp9)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(hskp9))) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H1c4 zenon_H103 zenon_H1ef zenon_H1eb zenon_H268 zenon_H225 zenon_H224 zenon_H223 zenon_H1c8 zenon_H1d4 zenon_H260 zenon_H19f zenon_H79 zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H144 zenon_H2d2.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_Ha. zenon_intro zenon_H1c5.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H88. zenon_intro zenon_H1c6.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H86. zenon_intro zenon_H87.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hd6 ].
% 0.67/0.91 apply (zenon_L437_); trivial.
% 0.67/0.91 apply (zenon_L440_); trivial.
% 0.67/0.91 (* end of lemma zenon_L441_ *)
% 0.67/0.91 assert (zenon_L442_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> (~(hskp10)) -> (~(hskp9)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(hskp9))) -> ((hskp16)\/((hskp4)\/(hskp2))) -> (~(hskp2)) -> (~(hskp4)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp22)\/(hskp20))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H1c7 zenon_H103 zenon_H1ef zenon_H1eb zenon_H268 zenon_H1c8 zenon_H1d4 zenon_H260 zenon_H19f zenon_H79 zenon_H144 zenon_H2d2 zenon_H7 zenon_H5 zenon_H3 zenon_H62 zenon_H5f zenon_H5a zenon_H41 zenon_H28a zenon_H223 zenon_H224 zenon_H225 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H232 zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H28c zenon_H18d zenon_H81 zenon_H84.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c4 ].
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ].
% 0.67/0.91 apply (zenon_L4_); trivial.
% 0.67/0.91 apply (zenon_L436_); trivial.
% 0.67/0.91 apply (zenon_L441_); trivial.
% 0.67/0.91 (* end of lemma zenon_L442_ *)
% 0.67/0.91 assert (zenon_L443_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp22)\/(hskp20))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (ndr1_0) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H1c7 zenon_H1ef zenon_H1eb zenon_H1d4 zenon_H84 zenon_H81 zenon_H18d zenon_H28c zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H232 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H225 zenon_H224 zenon_H223 zenon_H28a zenon_H41 zenon_H5a zenon_H5f zenon_H62 zenon_H19f zenon_H79 zenon_H198 zenon_H197 zenon_H196 zenon_Ha zenon_H230 zenon_H103 zenon_H268 zenon_H27b zenon_H25 zenon_H1c8 zenon_H17b zenon_H174 zenon_H260 zenon_H112.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c4 ].
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ].
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ].
% 0.67/0.91 apply (zenon_L320_); trivial.
% 0.67/0.91 apply (zenon_L436_); trivial.
% 0.67/0.91 apply (zenon_L247_); trivial.
% 0.67/0.91 apply (zenon_L253_); trivial.
% 0.67/0.91 (* end of lemma zenon_L443_ *)
% 0.67/0.91 assert (zenon_L444_ : ((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (~(hskp3)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp22)\/(hskp20))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H1a2 zenon_H1a1 zenon_H18c zenon_H266 zenon_H1ce zenon_H26a zenon_H112 zenon_H260 zenon_H174 zenon_H17b zenon_H1c8 zenon_H25 zenon_H27b zenon_H268 zenon_H103 zenon_H230 zenon_H19f zenon_H62 zenon_H5f zenon_H5a zenon_H41 zenon_H28a zenon_H223 zenon_H224 zenon_H225 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H232 zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H28c zenon_H18d zenon_H81 zenon_H84 zenon_H1d4 zenon_H1eb zenon_H1ef zenon_H1c7.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ].
% 0.67/0.91 apply (zenon_L443_); trivial.
% 0.67/0.91 apply (zenon_L257_); trivial.
% 0.67/0.91 (* end of lemma zenon_L444_ *)
% 0.67/0.91 assert (zenon_L445_ : ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> (c3_1 (a28)) -> (~(c2_1 (a28))) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4)))))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> (ndr1_0) -> (~(hskp9)) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H2bb zenon_Hdd zenon_Hdc zenon_He9 zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_Ha zenon_H144.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_Hea | zenon_intro zenon_H2bc ].
% 0.67/0.91 apply (zenon_L58_); trivial.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H2bc); [ zenon_intro zenon_H8f | zenon_intro zenon_H145 ].
% 0.67/0.91 apply (zenon_L351_); trivial.
% 0.67/0.91 exact (zenon_H144 zenon_H145).
% 0.67/0.91 (* end of lemma zenon_L445_ *)
% 0.67/0.91 assert (zenon_L446_ : ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp22)\/(hskp20))) -> (~(hskp9)) -> (ndr1_0) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> (~(c2_1 (a28))) -> (c3_1 (a28)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> (~(hskp22)) -> (~(hskp20)) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H28a zenon_H144 zenon_Ha zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_Hdc zenon_Hdd zenon_H2bb zenon_H152 zenon_H39.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_He9 | zenon_intro zenon_H28b ].
% 0.67/0.91 apply (zenon_L445_); trivial.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H153 | zenon_intro zenon_H3a ].
% 0.67/0.91 exact (zenon_H152 zenon_H153).
% 0.67/0.91 exact (zenon_H39 zenon_H3a).
% 0.67/0.91 (* end of lemma zenon_L446_ *)
% 0.67/0.91 assert (zenon_L447_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> (c3_1 (a28)) -> (~(c2_1 (a28))) -> (ndr1_0) -> (~(hskp20)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp22)\/(hskp20))) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H18d zenon_H28c zenon_H225 zenon_H224 zenon_H223 zenon_H2bb zenon_H144 zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_Hdd zenon_Hdc zenon_Ha zenon_H39 zenon_H28a.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ].
% 0.67/0.91 apply (zenon_L446_); trivial.
% 0.67/0.91 apply (zenon_L435_); trivial.
% 0.67/0.91 (* end of lemma zenon_L447_ *)
% 0.67/0.91 assert (zenon_L448_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> (~(hskp19)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp22)\/(hskp20))) -> (ndr1_0) -> (~(c2_1 (a28))) -> (c3_1 (a28)) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> (~(hskp9)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H62 zenon_H5f zenon_H1f5 zenon_H11a zenon_H119 zenon_H118 zenon_H3f zenon_H41 zenon_H28a zenon_Ha zenon_Hdc zenon_Hdd zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H144 zenon_H2bb zenon_H223 zenon_H224 zenon_H225 zenon_H28c zenon_H18d.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H39 | zenon_intro zenon_H5e ].
% 0.67/0.91 apply (zenon_L447_); trivial.
% 0.67/0.91 apply (zenon_L194_); trivial.
% 0.67/0.91 (* end of lemma zenon_L448_ *)
% 0.67/0.91 assert (zenon_L449_ : ((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp9)) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> (~(c2_1 (a28))) -> (c3_1 (a28)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> (~(hskp2)) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H29 zenon_Hf4 zenon_H144 zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_Hdc zenon_Hdd zenon_H2bb zenon_H5.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_Ha. zenon_intro zenon_H2b.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1c. zenon_intro zenon_H1d.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1b | zenon_intro zenon_Hf6 ].
% 0.67/0.91 apply (zenon_L10_); trivial.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He9 | zenon_intro zenon_H6 ].
% 0.67/0.91 apply (zenon_L445_); trivial.
% 0.67/0.91 exact (zenon_H5 zenon_H6).
% 0.67/0.91 (* end of lemma zenon_L449_ *)
% 0.67/0.91 assert (zenon_L450_ : ((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (~(hskp10)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp22)\/(hskp20))) -> (~(c2_1 (a28))) -> (c3_1 (a28)) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> (~(hskp9)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H7d zenon_H62 zenon_H2e zenon_Hf4 zenon_H5 zenon_H6d zenon_H25 zenon_H79 zenon_H7b zenon_H28a zenon_Hdc zenon_Hdd zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H144 zenon_H2bb zenon_H223 zenon_H224 zenon_H225 zenon_H28c zenon_H18d.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_Ha. zenon_intro zenon_H7e.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H71. zenon_intro zenon_H7f.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H72. zenon_intro zenon_H70.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H39 | zenon_intro zenon_H5e ].
% 0.67/0.91 apply (zenon_L447_); trivial.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_Ha. zenon_intro zenon_H60.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H43. zenon_intro zenon_H61.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H42. zenon_intro zenon_H44.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ].
% 0.67/0.91 apply (zenon_L30_); trivial.
% 0.67/0.91 apply (zenon_L449_); trivial.
% 0.67/0.91 (* end of lemma zenon_L450_ *)
% 0.67/0.91 assert (zenon_L451_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (~(hskp10)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp22)\/(hskp20))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> (~(hskp9)) -> (~(hskp2)) -> ((hskp9)\/((hskp2)\/(hskp17))) -> False).
% 0.67/0.91 do 0 intro. intros zenon_H10b zenon_H81 zenon_H2e zenon_Hf4 zenon_H6d zenon_H25 zenon_H79 zenon_H7b zenon_H18d zenon_H28c zenon_H225 zenon_H224 zenon_H223 zenon_H2bb zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H28a zenon_H41 zenon_H118 zenon_H119 zenon_H11a zenon_H1f5 zenon_H5f zenon_H62 zenon_H144 zenon_H5 zenon_H146.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hab | zenon_intro zenon_H10c ].
% 0.67/0.91 apply (zenon_L85_); trivial.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Ha. zenon_intro zenon_H10d.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Hdd. zenon_intro zenon_H10e.
% 0.67/0.91 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc.
% 0.67/0.91 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ].
% 0.67/0.91 apply (zenon_L448_); trivial.
% 0.67/0.91 apply (zenon_L450_); trivial.
% 0.67/0.91 (* end of lemma zenon_L451_ *)
% 0.67/0.91 assert (zenon_L452_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp22)\/(hskp20))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> (~(hskp9)) -> (~(hskp2)) -> ((hskp9)\/((hskp2)\/(hskp17))) -> False).
% 0.67/0.92 do 0 intro. intros zenon_H10b zenon_H81 zenon_H232 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H18d zenon_H28c zenon_H225 zenon_H224 zenon_H223 zenon_H2bb zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H28a zenon_H41 zenon_H118 zenon_H119 zenon_H11a zenon_H1f5 zenon_H5f zenon_H62 zenon_H144 zenon_H5 zenon_H146.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hab | zenon_intro zenon_H10c ].
% 0.67/0.92 apply (zenon_L85_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Ha. zenon_intro zenon_H10d.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Hdd. zenon_intro zenon_H10e.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ].
% 0.67/0.92 apply (zenon_L448_); trivial.
% 0.67/0.92 apply (zenon_L175_); trivial.
% 0.67/0.92 (* end of lemma zenon_L452_ *)
% 0.67/0.92 assert (zenon_L453_ : ((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (c0_1 (a11)) -> (~(c2_1 (a11))) -> (~(c1_1 (a11))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (~(hskp3)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp22)\/(hskp20))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> False).
% 0.67/0.92 do 0 intro. intros zenon_H1a2 zenon_H1a1 zenon_H206 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H112 zenon_H260 zenon_H174 zenon_H17b zenon_H1c8 zenon_H25 zenon_H27b zenon_H268 zenon_H103 zenon_H230 zenon_H19f zenon_H62 zenon_H5f zenon_H5a zenon_H41 zenon_H28a zenon_H223 zenon_H224 zenon_H225 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H232 zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H28c zenon_H18d zenon_H81 zenon_H84 zenon_H1d4 zenon_H1eb zenon_H1ef zenon_H1c7.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ].
% 0.67/0.92 apply (zenon_L443_); trivial.
% 0.67/0.92 apply (zenon_L278_); trivial.
% 0.67/0.92 (* end of lemma zenon_L453_ *)
% 0.67/0.92 assert (zenon_L454_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (ndr1_0) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> (~(hskp12)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp22)\/(hskp12))) -> False).
% 0.67/0.92 do 0 intro. intros zenon_H18d zenon_H28c zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H225 zenon_H224 zenon_H223 zenon_Ha zenon_H149 zenon_H14a zenon_H14b zenon_H154 zenon_H156.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ].
% 0.67/0.92 apply (zenon_L89_); trivial.
% 0.67/0.92 apply (zenon_L435_); trivial.
% 0.67/0.92 (* end of lemma zenon_L454_ *)
% 0.67/0.92 assert (zenon_L455_ : ((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a20))) -> (c2_1 (a20)) -> (~(c3_1 (a20))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> False).
% 0.67/0.92 do 0 intro. intros zenon_H1ea zenon_H28c zenon_H225 zenon_H224 zenon_H223 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H17e zenon_H180 zenon_H17f zenon_H1eb zenon_H2a8 zenon_H2a9 zenon_H2aa.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1e3. zenon_intro zenon_H1ed.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1e1. zenon_intro zenon_H1e2.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H222 | zenon_intro zenon_H28d ].
% 0.67/0.92 apply (zenon_L170_); trivial.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H158 | zenon_intro zenon_H8f ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H85 | zenon_intro zenon_H1ee ].
% 0.67/0.92 apply (zenon_L303_); trivial.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e0 ].
% 0.67/0.92 apply (zenon_L136_); trivial.
% 0.67/0.92 apply (zenon_L137_); trivial.
% 0.67/0.92 apply (zenon_L351_); trivial.
% 0.67/0.92 (* end of lemma zenon_L455_ *)
% 0.67/0.92 assert (zenon_L456_ : ((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(hskp9)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(hskp9))) -> False).
% 0.67/0.92 do 0 intro. intros zenon_H189 zenon_H103 zenon_H1ef zenon_H28c zenon_H1eb zenon_H268 zenon_H225 zenon_H224 zenon_H223 zenon_H1c8 zenon_H1d4 zenon_H260 zenon_H19f zenon_H79 zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H144 zenon_H2d2.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_Ha. zenon_intro zenon_H18a.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H180. zenon_intro zenon_H18b.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17e. zenon_intro zenon_H17f.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hd6 ].
% 0.67/0.92 apply (zenon_L437_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha. zenon_intro zenon_Hd8.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcc. zenon_intro zenon_Hd9.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1ea ].
% 0.67/0.92 apply (zenon_L439_); trivial.
% 0.67/0.92 apply (zenon_L455_); trivial.
% 0.67/0.92 (* end of lemma zenon_L456_ *)
% 0.67/0.92 assert (zenon_L457_ : ((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> (~(c1_1 (a20))) -> (c2_1 (a20)) -> (~(c3_1 (a20))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> False).
% 0.67/0.92 do 0 intro. intros zenon_Hd6 zenon_H1ef zenon_H28c zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H17e zenon_H180 zenon_H17f zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1eb zenon_H268 zenon_H225 zenon_H224 zenon_H223 zenon_H1d4 zenon_H196 zenon_H197 zenon_H198 zenon_H1c8 zenon_H260.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha. zenon_intro zenon_Hd8.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcc. zenon_intro zenon_Hd9.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1ea ].
% 0.67/0.92 apply (zenon_L251_); trivial.
% 0.67/0.92 apply (zenon_L455_); trivial.
% 0.67/0.92 (* end of lemma zenon_L457_ *)
% 0.67/0.92 assert (zenon_L458_ : ((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> (~(hskp10)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> False).
% 0.67/0.92 do 0 intro. intros zenon_H189 zenon_H103 zenon_H1ef zenon_H28c zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1eb zenon_H268 zenon_H225 zenon_H224 zenon_H223 zenon_H1d4 zenon_H1c8 zenon_H260 zenon_H196 zenon_H197 zenon_H198 zenon_H79 zenon_H19f.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_Ha. zenon_intro zenon_H18a.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H180. zenon_intro zenon_H18b.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17e. zenon_intro zenon_H17f.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hd6 ].
% 0.67/0.92 apply (zenon_L107_); trivial.
% 0.67/0.92 apply (zenon_L457_); trivial.
% 0.67/0.92 (* end of lemma zenon_L458_ *)
% 0.67/0.92 assert (zenon_L459_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(hskp9))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp22)\/(hskp12))) -> (c0_1 (a9)) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> False).
% 0.67/0.92 do 0 intro. intros zenon_H1f2 zenon_H1f1 zenon_H18c zenon_H103 zenon_H1ef zenon_H1eb zenon_H268 zenon_H1c8 zenon_H1d4 zenon_H260 zenon_H19f zenon_H2d2 zenon_H156 zenon_H14b zenon_H14a zenon_H149 zenon_H223 zenon_H224 zenon_H225 zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H28c zenon_H18d zenon_H232 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H206 zenon_H1a1.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H154 | zenon_intro zenon_H189 ].
% 0.67/0.92 apply (zenon_L454_); trivial.
% 0.67/0.92 apply (zenon_L456_); trivial.
% 0.67/0.92 apply (zenon_L278_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H154 | zenon_intro zenon_H189 ].
% 0.67/0.92 apply (zenon_L454_); trivial.
% 0.67/0.92 apply (zenon_L458_); trivial.
% 0.67/0.92 apply (zenon_L278_); trivial.
% 0.67/0.92 (* end of lemma zenon_L459_ *)
% 0.67/0.92 assert (zenon_L460_ : ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(hskp16)) -> (~(hskp27)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp27)\/(hskp16))) -> (c3_1 (a7)) -> (c0_1 (a7)) -> (~(c2_1 (a7))) -> (ndr1_0) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> False).
% 0.67/0.92 do 0 intro. intros zenon_H24c zenon_H1 zenon_H24e zenon_H2a0 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_Ha zenon_H2a8 zenon_H2a9 zenon_H2aa.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_He9 | zenon_intro zenon_H24d ].
% 0.67/0.92 apply (zenon_L304_); trivial.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1ae | zenon_intro zenon_H8f ].
% 0.67/0.92 apply (zenon_L116_); trivial.
% 0.67/0.92 apply (zenon_L351_); trivial.
% 0.67/0.92 (* end of lemma zenon_L460_ *)
% 0.67/0.92 assert (zenon_L461_ : ((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (c3_1 (a7)) -> (c0_1 (a7)) -> (~(c2_1 (a7))) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> False).
% 0.67/0.92 do 0 intro. intros zenon_H80 zenon_H232 zenon_H225 zenon_H224 zenon_H223 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H24c zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H2a8 zenon_H2a9 zenon_H2aa.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H82.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Hd. zenon_intro zenon_H83.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H222 | zenon_intro zenon_H233 ].
% 0.67/0.92 apply (zenon_L170_); trivial.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H6f ].
% 0.67/0.92 apply (zenon_L136_); trivial.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_He9 | zenon_intro zenon_H24d ].
% 0.67/0.92 apply (zenon_L177_); trivial.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1ae | zenon_intro zenon_H8f ].
% 0.67/0.92 apply (zenon_L116_); trivial.
% 0.67/0.92 apply (zenon_L351_); trivial.
% 0.67/0.92 (* end of lemma zenon_L461_ *)
% 0.67/0.92 assert (zenon_L462_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(hskp25)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp27)\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a7)) -> (~(c2_1 (a7))) -> (c0_1 (a7)) -> (ndr1_0) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> False).
% 0.67/0.92 do 0 intro. intros zenon_H260 zenon_H1c8 zenon_H198 zenon_H197 zenon_H196 zenon_H1d0 zenon_H1d4 zenon_H2a0 zenon_H1 zenon_H1b1 zenon_H1af zenon_H1b0 zenon_Ha zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H24c.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H24e | zenon_intro zenon_H25b ].
% 0.67/0.92 apply (zenon_L460_); trivial.
% 0.67/0.92 apply (zenon_L250_); trivial.
% 0.67/0.92 (* end of lemma zenon_L462_ *)
% 0.67/0.92 assert (zenon_L463_ : ((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp27)\/(hskp16))) -> (c3_1 (a7)) -> (~(c2_1 (a7))) -> (c0_1 (a7)) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> False).
% 0.67/0.92 do 0 intro. intros zenon_H189 zenon_H84 zenon_H232 zenon_H260 zenon_H1c8 zenon_H198 zenon_H197 zenon_H196 zenon_H1d4 zenon_H2a0 zenon_H1b1 zenon_H1af zenon_H1b0 zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H24c zenon_H223 zenon_H224 zenon_H225 zenon_H1eb zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H28c zenon_H1ef.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_Ha. zenon_intro zenon_H18a.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H180. zenon_intro zenon_H18b.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17e. zenon_intro zenon_H17f.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1ea ].
% 0.67/0.92 apply (zenon_L462_); trivial.
% 0.67/0.92 apply (zenon_L455_); trivial.
% 0.67/0.92 apply (zenon_L461_); trivial.
% 0.67/0.92 (* end of lemma zenon_L463_ *)
% 0.67/0.92 assert (zenon_L464_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(hskp9))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp5))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> False).
% 0.67/0.92 do 0 intro. intros zenon_H1f2 zenon_H1f1 zenon_H26a zenon_H1c8 zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H214 zenon_H20a zenon_H209 zenon_H2d2 zenon_H223 zenon_H224 zenon_H225 zenon_H1ce zenon_H266 zenon_H18c.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H154 | zenon_intro zenon_H189 ].
% 0.67/0.92 apply (zenon_L429_); trivial.
% 0.67/0.92 apply (zenon_L219_); trivial.
% 0.67/0.92 apply (zenon_L313_); trivial.
% 0.67/0.92 (* end of lemma zenon_L464_ *)
% 0.67/0.92 assert (zenon_L465_ : ((~(hskp8))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(hskp9))) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp5))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> (ndr1_0) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> (~(hskp7)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((hskp7)\/(hskp8))) -> False).
% 0.67/0.92 do 0 intro. intros zenon_H1f0 zenon_H1f1 zenon_H26a zenon_H1c8 zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H214 zenon_H20a zenon_H209 zenon_H2d2 zenon_H1ce zenon_H266 zenon_H18c zenon_Ha zenon_H223 zenon_H224 zenon_H225 zenon_Hb1 zenon_H22c.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ].
% 0.67/0.92 apply (zenon_L171_); trivial.
% 0.67/0.92 apply (zenon_L464_); trivial.
% 0.67/0.92 (* end of lemma zenon_L465_ *)
% 0.67/0.92 assert (zenon_L466_ : (forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))) -> (ndr1_0) -> (forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21)))))) -> (c0_1 (a54)) -> (c2_1 (a54)) -> (c3_1 (a54)) -> False).
% 0.67/0.92 do 0 intro. intros zenon_H63 zenon_Ha zenon_H158 zenon_H166 zenon_H167 zenon_H168.
% 0.67/0.92 generalize (zenon_H63 (a54)). zenon_intro zenon_H2dd.
% 0.67/0.92 apply (zenon_imply_s _ _ zenon_H2dd); [ zenon_intro zenon_H9 | zenon_intro zenon_H2de ].
% 0.67/0.92 exact (zenon_H9 zenon_Ha).
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H16e | zenon_intro zenon_H171 ].
% 0.67/0.92 generalize (zenon_H158 (a54)). zenon_intro zenon_H2df.
% 0.67/0.92 apply (zenon_imply_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H2e0 ].
% 0.67/0.92 exact (zenon_H9 zenon_Ha).
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H172 | zenon_intro zenon_H2e1 ].
% 0.67/0.92 exact (zenon_H16e zenon_H172).
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H16c | zenon_intro zenon_H173 ].
% 0.67/0.92 exact (zenon_H16c zenon_H166).
% 0.67/0.92 exact (zenon_H173 zenon_H167).
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H173 | zenon_intro zenon_H16d ].
% 0.67/0.92 exact (zenon_H173 zenon_H167).
% 0.67/0.92 exact (zenon_H16d zenon_H168).
% 0.67/0.92 (* end of lemma zenon_L466_ *)
% 0.67/0.92 assert (zenon_L467_ : ((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (~(c0_1 (a22))) -> (c2_1 (a22)) -> (c3_1 (a22)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> False).
% 0.67/0.92 do 0 intro. intros zenon_H175 zenon_H28c zenon_H225 zenon_H224 zenon_H223 zenon_Hf8 zenon_Hf9 zenon_Hfa zenon_H17b zenon_H2a8 zenon_H2a9 zenon_H2aa.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H177.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H167. zenon_intro zenon_H168.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H222 | zenon_intro zenon_H28d ].
% 0.67/0.92 apply (zenon_L170_); trivial.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H158 | zenon_intro zenon_H8f ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H9c | zenon_intro zenon_H17c ].
% 0.67/0.92 apply (zenon_L61_); trivial.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H178 | zenon_intro zenon_H63 ].
% 0.67/0.92 apply (zenon_L98_); trivial.
% 0.67/0.92 apply (zenon_L466_); trivial.
% 0.67/0.92 apply (zenon_L351_); trivial.
% 0.67/0.92 (* end of lemma zenon_L467_ *)
% 0.67/0.92 assert (zenon_L468_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> (~(c0_1 (a22))) -> (c2_1 (a22)) -> (c3_1 (a22)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (~(hskp3)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3))) -> False).
% 0.67/0.92 do 0 intro. intros zenon_H25b zenon_H174 zenon_H28c zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_Hf8 zenon_Hf9 zenon_Hfa zenon_H17b zenon_H225 zenon_H224 zenon_H223 zenon_H25 zenon_H27b.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_Ha. zenon_intro zenon_H25d.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H252. zenon_intro zenon_H25e.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H253. zenon_intro zenon_H254.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H162 | zenon_intro zenon_H175 ].
% 0.67/0.92 apply (zenon_L240_); trivial.
% 0.67/0.92 apply (zenon_L467_); trivial.
% 0.67/0.92 (* end of lemma zenon_L468_ *)
% 0.67/0.92 assert (zenon_L469_ : ((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (~(hskp3)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3))) -> (~(hskp13)) -> (~(hskp8)) -> ((hskp27)\/((hskp13)\/(hskp8))) -> False).
% 0.67/0.92 do 0 intro. intros zenon_H10f zenon_H260 zenon_H174 zenon_H28c zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H17b zenon_H225 zenon_H224 zenon_H223 zenon_H25 zenon_H27b zenon_H15 zenon_H1ca zenon_H250.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha. zenon_intro zenon_H110.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Hf9. zenon_intro zenon_H111.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_Hfa. zenon_intro zenon_Hf8.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H24e | zenon_intro zenon_H25b ].
% 0.67/0.92 apply (zenon_L199_); trivial.
% 0.67/0.92 apply (zenon_L468_); trivial.
% 0.67/0.92 (* end of lemma zenon_L469_ *)
% 0.67/0.92 assert (zenon_L470_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(hskp9))) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> False).
% 0.67/0.92 do 0 intro. intros zenon_H1f2 zenon_H1f1 zenon_H18c zenon_H103 zenon_H1ef zenon_H28c zenon_H1eb zenon_H268 zenon_H225 zenon_H224 zenon_H223 zenon_H1d4 zenon_H260 zenon_H19f zenon_H2d2 zenon_H209 zenon_H20a zenon_H214 zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H1c8 zenon_H26a zenon_H1fd zenon_H1fe zenon_H1ff zenon_H206 zenon_H1a1.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H154 | zenon_intro zenon_H189 ].
% 0.67/0.92 apply (zenon_L429_); trivial.
% 0.67/0.92 apply (zenon_L456_); trivial.
% 0.67/0.92 apply (zenon_L430_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H154 | zenon_intro zenon_H189 ].
% 0.67/0.92 apply (zenon_L312_); trivial.
% 0.67/0.92 apply (zenon_L458_); trivial.
% 0.67/0.92 apply (zenon_L322_); trivial.
% 0.67/0.92 (* end of lemma zenon_L470_ *)
% 0.67/0.92 assert (zenon_L471_ : ((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> (~(c0_1 (a22))) -> (c2_1 (a22)) -> (c3_1 (a22)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp3)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> False).
% 0.67/0.92 do 0 intro. intros zenon_H7d zenon_H260 zenon_H174 zenon_H28c zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_Hf8 zenon_Hf9 zenon_Hfa zenon_H17b zenon_H25 zenon_H27b zenon_H223 zenon_H224 zenon_H225 zenon_H7b zenon_H79 zenon_H214 zenon_H20a zenon_H209 zenon_H268.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_Ha. zenon_intro zenon_H7e.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H71. zenon_intro zenon_H7f.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H72. zenon_intro zenon_H70.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H24e | zenon_intro zenon_H25b ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H222 | zenon_intro zenon_H269 ].
% 0.67/0.92 apply (zenon_L170_); trivial.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_Hca | zenon_intro zenon_H24f ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H64 | zenon_intro zenon_H7c ].
% 0.67/0.92 apply (zenon_L159_); trivial.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H6f | zenon_intro zenon_H7a ].
% 0.67/0.92 apply (zenon_L28_); trivial.
% 0.67/0.92 exact (zenon_H79 zenon_H7a).
% 0.67/0.92 exact (zenon_H24e zenon_H24f).
% 0.67/0.92 apply (zenon_L468_); trivial.
% 0.67/0.92 (* end of lemma zenon_L471_ *)
% 0.67/0.92 assert (zenon_L472_ : ((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp3)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp20))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> (~(hskp9)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> False).
% 0.67/0.92 do 0 intro. intros zenon_H10f zenon_H81 zenon_H260 zenon_H174 zenon_H28c zenon_H17b zenon_H25 zenon_H27b zenon_H223 zenon_H224 zenon_H225 zenon_H7b zenon_H79 zenon_H214 zenon_H20a zenon_H209 zenon_H268 zenon_H2b2 zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H41 zenon_H118 zenon_H119 zenon_H11a zenon_H144 zenon_H1f5 zenon_H5f zenon_H62.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha. zenon_intro zenon_H110.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Hf9. zenon_intro zenon_H111.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_Hfa. zenon_intro zenon_Hf8.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ].
% 0.67/0.92 apply (zenon_L381_); trivial.
% 0.67/0.92 apply (zenon_L471_); trivial.
% 0.67/0.92 (* end of lemma zenon_L472_ *)
% 0.67/0.92 assert (zenon_L473_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9)))))) -> (~(c2_1 (a3))) -> (ndr1_0) -> (~(hskp27)) -> False).
% 0.67/0.92 do 0 intro. intros zenon_H268 zenon_H225 zenon_H224 zenon_H223 zenon_H214 zenon_H20a zenon_H64 zenon_H209 zenon_Ha zenon_H24e.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H222 | zenon_intro zenon_H269 ].
% 0.67/0.92 apply (zenon_L170_); trivial.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_Hca | zenon_intro zenon_H24f ].
% 0.67/0.92 apply (zenon_L159_); trivial.
% 0.67/0.92 exact (zenon_H24e zenon_H24f).
% 0.67/0.92 (* end of lemma zenon_L473_ *)
% 0.67/0.92 assert (zenon_L474_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (c3_1 (a18)) -> (~(c1_1 (a18))) -> (~(c0_1 (a18))) -> (~(hskp27)) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (ndr1_0) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> False).
% 0.67/0.92 do 0 intro. intros zenon_H206 zenon_H9f zenon_H194 zenon_H9d zenon_H24e zenon_H209 zenon_H20a zenon_H214 zenon_H223 zenon_H224 zenon_H225 zenon_H268 zenon_Ha zenon_H1fd zenon_H1fe zenon_H1ff.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H207 ].
% 0.67/0.92 apply (zenon_L143_); trivial.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H64 | zenon_intro zenon_H1fc ].
% 0.67/0.92 apply (zenon_L473_); trivial.
% 0.67/0.92 apply (zenon_L144_); trivial.
% 0.67/0.92 (* end of lemma zenon_L474_ *)
% 0.67/0.92 assert (zenon_L475_ : ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (c3_1 (a18)) -> (~(c0_1 (a18))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (~(c1_1 (a18))) -> (c3_1 (a3)) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9)))))) -> (~(c2_1 (a3))) -> (ndr1_0) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> False).
% 0.67/0.92 do 0 intro. intros zenon_H24c zenon_H9f zenon_H9d zenon_H9c zenon_H194 zenon_H20a zenon_H64 zenon_H209 zenon_Ha zenon_H2a8 zenon_H2a9 zenon_H2aa.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_He9 | zenon_intro zenon_H24d ].
% 0.67/0.92 apply (zenon_L212_); trivial.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1ae | zenon_intro zenon_H8f ].
% 0.67/0.92 apply (zenon_L150_); trivial.
% 0.67/0.92 apply (zenon_L351_); trivial.
% 0.67/0.92 (* end of lemma zenon_L475_ *)
% 0.67/0.92 assert (zenon_L476_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (c0_1 (a11)) -> (~(c2_1 (a11))) -> (~(c1_1 (a11))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (c3_1 (a18)) -> (~(c1_1 (a18))) -> (~(c0_1 (a18))) -> (~(hskp3)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3))) -> False).
% 0.67/0.92 do 0 intro. intros zenon_H25b zenon_H174 zenon_H206 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H223 zenon_H224 zenon_H225 zenon_H17b zenon_H209 zenon_H20a zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H24c zenon_H28c zenon_H9f zenon_H194 zenon_H9d zenon_H25 zenon_H27b.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_Ha. zenon_intro zenon_H25d.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H252. zenon_intro zenon_H25e.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H253. zenon_intro zenon_H254.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H162 | zenon_intro zenon_H175 ].
% 0.67/0.92 apply (zenon_L240_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H177.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H167. zenon_intro zenon_H168.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H207 ].
% 0.67/0.92 apply (zenon_L143_); trivial.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H64 | zenon_intro zenon_H1fc ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H222 | zenon_intro zenon_H28d ].
% 0.67/0.92 apply (zenon_L170_); trivial.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H158 | zenon_intro zenon_H8f ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H9c | zenon_intro zenon_H17c ].
% 0.67/0.92 apply (zenon_L475_); trivial.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H178 | zenon_intro zenon_H63 ].
% 0.67/0.92 apply (zenon_L98_); trivial.
% 0.67/0.92 apply (zenon_L466_); trivial.
% 0.67/0.92 apply (zenon_L351_); trivial.
% 0.67/0.92 apply (zenon_L144_); trivial.
% 0.67/0.92 (* end of lemma zenon_L476_ *)
% 0.67/0.92 assert (zenon_L477_ : ((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(hskp3)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> False).
% 0.67/0.92 do 0 intro. intros zenon_H191 zenon_H260 zenon_H174 zenon_H17b zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H24c zenon_H28c zenon_H25 zenon_H27b zenon_H268 zenon_H214 zenon_H20a zenon_H209 zenon_H225 zenon_H224 zenon_H223 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H206.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H24e | zenon_intro zenon_H25b ].
% 0.67/0.92 apply (zenon_L474_); trivial.
% 0.67/0.92 apply (zenon_L476_); trivial.
% 0.67/0.92 (* end of lemma zenon_L477_ *)
% 0.67/0.92 assert (zenon_L478_ : ((ndr1_0)/\((c0_1 (a11))/\((~(c1_1 (a11)))/\(~(c2_1 (a11)))))) -> ((~(hskp7))\/((ndr1_0)/\((c1_1 (a14))/\((~(c0_1 (a14)))/\(~(c2_1 (a14))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp3)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp20))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp13)\/(hskp14))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((hskp7)\/(hskp8))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(hskp9))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16))))))) -> ((~(hskp8))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> False).
% 0.67/0.92 do 0 intro. intros zenon_H2d9 zenon_H21e zenon_H24c zenon_H112 zenon_H81 zenon_H174 zenon_H17b zenon_H25 zenon_H27b zenon_H7b zenon_H2b2 zenon_H41 zenon_H62 zenon_H2a2 zenon_H1ba zenon_H1f5 zenon_H5f zenon_H84 zenon_H3b zenon_H230 zenon_H241 zenon_H1cc zenon_H22c zenon_H225 zenon_H224 zenon_H223 zenon_H1a1 zenon_H206 zenon_H26a zenon_H1c8 zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H214 zenon_H20a zenon_H209 zenon_H2d2 zenon_H19f zenon_H260 zenon_H1d4 zenon_H268 zenon_H1eb zenon_H28c zenon_H1ef zenon_H103 zenon_H18c zenon_H1f1 zenon_H1f0.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_Ha. zenon_intro zenon_H2db.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H1ff. zenon_intro zenon_H2dc.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ].
% 0.67/0.92 apply (zenon_L171_); trivial.
% 0.67/0.92 apply (zenon_L470_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ].
% 0.67/0.92 apply (zenon_L314_); trivial.
% 0.67/0.92 apply (zenon_L472_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H23f.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H31. zenon_intro zenon_H240.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H32. zenon_intro zenon_H30.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ].
% 0.67/0.92 apply (zenon_L330_); trivial.
% 0.67/0.92 apply (zenon_L472_); trivial.
% 0.67/0.92 apply (zenon_L477_); trivial.
% 0.67/0.92 apply (zenon_L334_); trivial.
% 0.67/0.92 apply (zenon_L470_); trivial.
% 0.67/0.92 (* end of lemma zenon_L478_ *)
% 0.67/0.92 apply NNPP. intro zenon_G.
% 0.67/0.92 apply zenon_G. zenon_intro zenon_H2e2.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2e2). zenon_intro zenon_H2e4. zenon_intro zenon_H2e3.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2e3). zenon_intro zenon_H2e6. zenon_intro zenon_H2e5.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_H2e8. zenon_intro zenon_H2e7.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H2ea. zenon_intro zenon_H2e9.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2e9). zenon_intro zenon_H2ec. zenon_intro zenon_H2eb.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H2d5. zenon_intro zenon_H2ed.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H2ef. zenon_intro zenon_H2ee.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2ee). zenon_intro zenon_H21e. zenon_intro zenon_H2f0.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H1f0. zenon_intro zenon_H2f1.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H1f1. zenon_intro zenon_H2f2.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H1a1. zenon_intro zenon_H2f3.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H1c7. zenon_intro zenon_H2f4.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H18c. zenon_intro zenon_H2f5.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_H241. zenon_intro zenon_H2f6.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H112. zenon_intro zenon_H2f7.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H2f9. zenon_intro zenon_H2f8.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H84. zenon_intro zenon_H2fa.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H10b. zenon_intro zenon_H2fb.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2fb). zenon_intro zenon_H2fd. zenon_intro zenon_H2fc.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_H81. zenon_intro zenon_H2fe.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_H62. zenon_intro zenon_H2ff.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2ff). zenon_intro zenon_H103. zenon_intro zenon_H300.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H18d. zenon_intro zenon_H301.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_H303. zenon_intro zenon_H302.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H2e. zenon_intro zenon_H304.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_H1ef. zenon_intro zenon_H305.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H305). zenon_intro zenon_H137. zenon_intro zenon_H306.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H260. zenon_intro zenon_H307.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H307). zenon_intro zenon_He6. zenon_intro zenon_H308.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_H5f. zenon_intro zenon_H309.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H309). zenon_intro zenon_H174. zenon_intro zenon_H30a.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H30a). zenon_intro zenon_H30c. zenon_intro zenon_H30b.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H30b). zenon_intro zenon_H2c6. zenon_intro zenon_H30d.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H30d). zenon_intro zenon_H1aa. zenon_intro zenon_H30e.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H142. zenon_intro zenon_H30f.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_Hf4. zenon_intro zenon_H310.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H310). zenon_intro zenon_Hf5. zenon_intro zenon_H311.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H2a. zenon_intro zenon_H312.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H206. zenon_intro zenon_H313.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_H25c. zenon_intro zenon_H314.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H23c. zenon_intro zenon_H315.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H232. zenon_intro zenon_H316.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H266. zenon_intro zenon_H317.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H28c. zenon_intro zenon_H318.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_H268. zenon_intro zenon_H319.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H319). zenon_intro zenon_H28e. zenon_intro zenon_H31a.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_H22c. zenon_intro zenon_H31b.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H31b). zenon_intro zenon_H1a7. zenon_intro zenon_H31c.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H31c). zenon_intro zenon_H1f5. zenon_intro zenon_H31d.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H31d). zenon_intro zenon_H121. zenon_intro zenon_H31e.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H31e). zenon_intro zenon_H7b. zenon_intro zenon_H31f.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H31f). zenon_intro zenon_H279. zenon_intro zenon_H320.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H320). zenon_intro zenon_H1b8. zenon_intro zenon_H321.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H321). zenon_intro zenon_H26a. zenon_intro zenon_H322.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H322). zenon_intro zenon_H2a2. zenon_intro zenon_H323.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H323). zenon_intro zenon_H325. zenon_intro zenon_H324.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H324). zenon_intro zenon_He7. zenon_intro zenon_H326.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H328. zenon_intro zenon_H327.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H1eb. zenon_intro zenon_H329.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H329). zenon_intro zenon_H9a. zenon_intro zenon_H32a.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H32a). zenon_intro zenon_H32c. zenon_intro zenon_H32b.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H32b). zenon_intro zenon_H32e. zenon_intro zenon_H32d.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H2d2. zenon_intro zenon_H32f.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_H41. zenon_intro zenon_H330.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H330). zenon_intro zenon_H2b2. zenon_intro zenon_H331.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H17b. zenon_intro zenon_H332.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Had. zenon_intro zenon_H333.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H22e. zenon_intro zenon_H334.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H24c. zenon_intro zenon_H335.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H335). zenon_intro zenon_H2a6. zenon_intro zenon_H336.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H336). zenon_intro zenon_H28a. zenon_intro zenon_H337.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_H339. zenon_intro zenon_H338.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_H33b. zenon_intro zenon_H33a.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H33d. zenon_intro zenon_H33c.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H187. zenon_intro zenon_H33e.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H33e). zenon_intro zenon_H2c8. zenon_intro zenon_H33f.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H33f). zenon_intro zenon_H341. zenon_intro zenon_H340.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H340). zenon_intro zenon_H164. zenon_intro zenon_H342.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H342). zenon_intro zenon_H3b. zenon_intro zenon_H343.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H343). zenon_intro zenon_H19. zenon_intro zenon_H344.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H344). zenon_intro zenon_H346. zenon_intro zenon_H345.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H345). zenon_intro zenon_H348. zenon_intro zenon_H347.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H347). zenon_intro zenon_H34a. zenon_intro zenon_H349.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H349). zenon_intro zenon_H156. zenon_intro zenon_H34b.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H34b). zenon_intro zenon_H1c8. zenon_intro zenon_H34c.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H34c). zenon_intro zenon_H230. zenon_intro zenon_H34d.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H34d). zenon_intro zenon_H34f. zenon_intro zenon_H34e.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H34e). zenon_intro zenon_Hd7. zenon_intro zenon_H350.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H350). zenon_intro zenon_H101. zenon_intro zenon_H351.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H351). zenon_intro zenon_H1ba. zenon_intro zenon_H352.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H352). zenon_intro zenon_H2bb. zenon_intro zenon_H353.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H353). zenon_intro zenon_H355. zenon_intro zenon_H354.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H354). zenon_intro zenon_H1cc. zenon_intro zenon_H356.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_H19f. zenon_intro zenon_H357.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_H2b1. zenon_intro zenon_H358.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_Hc5. zenon_intro zenon_H359.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_H5a. zenon_intro zenon_H35a.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H1d4. zenon_intro zenon_H35b.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H2a0. zenon_intro zenon_H35c.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H27b. zenon_intro zenon_H35d.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_H35f. zenon_intro zenon_H35e.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_H2d6. zenon_intro zenon_H360.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H360). zenon_intro zenon_H6d. zenon_intro zenon_H361.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H361). zenon_intro zenon_H115. zenon_intro zenon_H362.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H362). zenon_intro zenon_H250. zenon_intro zenon_H363.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H298. zenon_intro zenon_H364.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H146. zenon_intro zenon_H365.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H7. zenon_intro zenon_H366.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H366). zenon_intro zenon_H1d2. zenon_intro zenon_H367.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H27 | zenon_intro zenon_H368 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H369 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H5 | zenon_intro zenon_H36a ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H25 | zenon_intro zenon_H2d4 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H3 | zenon_intro zenon_H36b ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H98 | zenon_intro zenon_H1a9 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c4 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ].
% 0.67/0.92 apply (zenon_L4_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H82.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Hd. zenon_intro zenon_H83.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 0.67/0.92 apply (zenon_L14_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H23f.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H31. zenon_intro zenon_H240.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H32. zenon_intro zenon_H30.
% 0.67/0.92 apply (zenon_L34_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_Ha. zenon_intro zenon_H1c5.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H88. zenon_intro zenon_H1c6.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H86. zenon_intro zenon_H87.
% 0.67/0.92 apply (zenon_L39_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194.
% 0.67/0.92 apply (zenon_L70_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ].
% 0.67/0.92 apply (zenon_L81_); trivial.
% 0.67/0.92 apply (zenon_L69_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1ab.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H139. zenon_intro zenon_H1ac.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H13a. zenon_intro zenon_H13b.
% 0.67/0.92 apply (zenon_L83_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_Ha. zenon_intro zenon_H36c.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H36c). zenon_intro zenon_H14b. zenon_intro zenon_H36d.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H36d). zenon_intro zenon_H149. zenon_intro zenon_H14a.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H98 | zenon_intro zenon_H1a9 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ].
% 0.67/0.92 apply (zenon_L104_); trivial.
% 0.67/0.92 apply (zenon_L105_); trivial.
% 0.67/0.92 apply (zenon_L110_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ].
% 0.67/0.92 apply (zenon_L81_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha. zenon_intro zenon_H110.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Hf9. zenon_intro zenon_H111.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_Hfa. zenon_intro zenon_Hf8.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hab | zenon_intro zenon_H10c ].
% 0.67/0.92 apply (zenon_L65_); trivial.
% 0.67/0.92 apply (zenon_L114_); trivial.
% 0.67/0.92 apply (zenon_L115_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_Ha. zenon_intro zenon_H2d7.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_H1b0. zenon_intro zenon_H2d8.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_H1b1. zenon_intro zenon_H1af.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d9 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H98 | zenon_intro zenon_H1a9 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ].
% 0.67/0.92 apply (zenon_L140_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.92 apply (zenon_L142_); trivial.
% 0.67/0.92 apply (zenon_L130_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.92 apply (zenon_L142_); trivial.
% 0.67/0.92 apply (zenon_L139_); trivial.
% 0.67/0.92 apply (zenon_L115_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_Ha. zenon_intro zenon_H2db.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H1ff. zenon_intro zenon_H2dc.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H98 | zenon_intro zenon_H1a9 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.92 apply (zenon_L123_); trivial.
% 0.67/0.92 apply (zenon_L147_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.92 apply (zenon_L142_); trivial.
% 0.67/0.92 apply (zenon_L147_); trivial.
% 0.67/0.92 apply (zenon_L148_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_Ha. zenon_intro zenon_H36e.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H36e). zenon_intro zenon_H214. zenon_intro zenon_H36f.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H36f). zenon_intro zenon_H20a. zenon_intro zenon_H209.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H25 | zenon_intro zenon_H2d4 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H98 | zenon_intro zenon_H1a9 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ].
% 0.67/0.92 apply (zenon_L163_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ].
% 0.67/0.92 apply (zenon_L81_); trivial.
% 0.67/0.92 apply (zenon_L164_); trivial.
% 0.67/0.92 apply (zenon_L115_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_Ha. zenon_intro zenon_H2d7.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_H1b0. zenon_intro zenon_H2d8.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_H1b1. zenon_intro zenon_H1af.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H98 | zenon_intro zenon_H1a9 ].
% 0.67/0.92 apply (zenon_L169_); trivial.
% 0.67/0.92 apply (zenon_L115_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H369). zenon_intro zenon_Ha. zenon_intro zenon_H370.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H370). zenon_intro zenon_H223. zenon_intro zenon_H371.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H224. zenon_intro zenon_H225.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H5 | zenon_intro zenon_H36a ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H25 | zenon_intro zenon_H2d4 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H3 | zenon_intro zenon_H36b ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d9 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ].
% 0.67/0.92 apply (zenon_L193_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ].
% 0.67/0.92 apply (zenon_L197_); trivial.
% 0.67/0.92 apply (zenon_L206_); trivial.
% 0.67/0.92 apply (zenon_L220_); trivial.
% 0.67/0.92 apply (zenon_L192_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_Ha. zenon_intro zenon_H2db.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H1ff. zenon_intro zenon_H2dc.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ].
% 0.67/0.92 apply (zenon_L193_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.92 apply (zenon_L228_); trivial.
% 0.67/0.92 apply (zenon_L229_); trivial.
% 0.67/0.92 apply (zenon_L192_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_Ha. zenon_intro zenon_H36c.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H36c). zenon_intro zenon_H14b. zenon_intro zenon_H36d.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H36d). zenon_intro zenon_H149. zenon_intro zenon_H14a.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d9 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H98 | zenon_intro zenon_H1a9 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ].
% 0.67/0.92 apply (zenon_L259_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.92 apply (zenon_L263_); trivial.
% 0.67/0.92 apply (zenon_L266_); trivial.
% 0.67/0.92 apply (zenon_L270_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1ab.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H139. zenon_intro zenon_H1ac.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H13a. zenon_intro zenon_H13b.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ].
% 0.67/0.92 apply (zenon_L259_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.92 apply (zenon_L277_); trivial.
% 0.67/0.92 apply (zenon_L266_); trivial.
% 0.67/0.92 apply (zenon_L270_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_Ha. zenon_intro zenon_H2db.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H1ff. zenon_intro zenon_H2dc.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H98 | zenon_intro zenon_H1a9 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ].
% 0.67/0.92 apply (zenon_L280_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.92 apply (zenon_L263_); trivial.
% 0.67/0.92 apply (zenon_L283_); trivial.
% 0.67/0.92 apply (zenon_L284_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1ab.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H139. zenon_intro zenon_H1ac.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H13a. zenon_intro zenon_H13b.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ].
% 0.67/0.92 apply (zenon_L280_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.92 apply (zenon_L277_); trivial.
% 0.67/0.92 apply (zenon_L283_); trivial.
% 0.67/0.92 apply (zenon_L284_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_Ha. zenon_intro zenon_H2d7.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_H1b0. zenon_intro zenon_H2d8.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_H1b1. zenon_intro zenon_H1af.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H3 | zenon_intro zenon_H36b ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d9 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H98 | zenon_intro zenon_H1a9 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ].
% 0.67/0.92 apply (zenon_L294_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.92 apply (zenon_L142_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ].
% 0.67/0.92 apply (zenon_L125_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ].
% 0.67/0.92 apply (zenon_L202_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H23f.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H31. zenon_intro zenon_H240.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H32. zenon_intro zenon_H30.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H222 | zenon_intro zenon_H267 ].
% 0.67/0.92 apply (zenon_L170_); trivial.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H17d | zenon_intro zenon_H1cf ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H117 | zenon_intro zenon_H122 ].
% 0.67/0.92 apply (zenon_L73_); trivial.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H4d | zenon_intro zenon_H99 ].
% 0.67/0.92 apply (zenon_L203_); trivial.
% 0.67/0.92 exact (zenon_H98 zenon_H99).
% 0.67/0.92 exact (zenon_H1ce zenon_H1cf).
% 0.67/0.92 apply (zenon_L295_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1ab.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H139. zenon_intro zenon_H1ac.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H13a. zenon_intro zenon_H13b.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ].
% 0.67/0.92 apply (zenon_L294_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.92 apply (zenon_L142_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ].
% 0.67/0.92 apply (zenon_L125_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H154 | zenon_intro zenon_H189 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1b | zenon_intro zenon_Hf6 ].
% 0.67/0.92 apply (zenon_L296_); trivial.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He9 | zenon_intro zenon_H6 ].
% 0.67/0.92 apply (zenon_L129_); trivial.
% 0.67/0.92 exact (zenon_H5 zenon_H6).
% 0.67/0.92 apply (zenon_L219_); trivial.
% 0.67/0.92 apply (zenon_L295_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_Ha. zenon_intro zenon_H2db.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H1ff. zenon_intro zenon_H2dc.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ].
% 0.67/0.92 apply (zenon_L298_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.92 apply (zenon_L142_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ].
% 0.67/0.92 apply (zenon_L125_); trivial.
% 0.67/0.92 apply (zenon_L299_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_Ha. zenon_intro zenon_H36c.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H36c). zenon_intro zenon_H14b. zenon_intro zenon_H36d.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H36d). zenon_intro zenon_H149. zenon_intro zenon_H14a.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d9 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ].
% 0.67/0.92 apply (zenon_L171_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.92 apply (zenon_L307_); trivial.
% 0.67/0.92 apply (zenon_L293_); trivial.
% 0.67/0.92 apply (zenon_L308_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_Ha. zenon_intro zenon_H2db.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H1ff. zenon_intro zenon_H2dc.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ].
% 0.67/0.92 apply (zenon_L171_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.92 apply (zenon_L307_); trivial.
% 0.67/0.92 apply (zenon_L297_); trivial.
% 0.67/0.92 apply (zenon_L310_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_Ha. zenon_intro zenon_H36e.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H36e). zenon_intro zenon_H214. zenon_intro zenon_H36f.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H36f). zenon_intro zenon_H20a. zenon_intro zenon_H209.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H25 | zenon_intro zenon_H2d4 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d9 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.92 apply (zenon_L311_); trivial.
% 0.67/0.92 apply (zenon_L313_); trivial.
% 0.67/0.92 apply (zenon_L316_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_Ha. zenon_intro zenon_H2db.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H1ff. zenon_intro zenon_H2dc.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ].
% 0.67/0.92 apply (zenon_L324_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.92 apply (zenon_L333_); trivial.
% 0.67/0.92 apply (zenon_L334_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.92 apply (zenon_L333_); trivial.
% 0.67/0.92 apply (zenon_L323_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_Ha. zenon_intro zenon_H2d7.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_H1b0. zenon_intro zenon_H2d8.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_H1b1. zenon_intro zenon_H1af.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d9 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ].
% 0.67/0.92 apply (zenon_L171_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c4 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ].
% 0.67/0.92 apply (zenon_L336_); trivial.
% 0.67/0.92 apply (zenon_L338_); trivial.
% 0.67/0.92 apply (zenon_L182_); trivial.
% 0.67/0.92 apply (zenon_L341_); trivial.
% 0.67/0.92 apply (zenon_L313_); trivial.
% 0.67/0.92 apply (zenon_L316_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_Ha. zenon_intro zenon_H2db.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H1ff. zenon_intro zenon_H2dc.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ].
% 0.67/0.92 apply (zenon_L346_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.92 apply (zenon_L333_); trivial.
% 0.67/0.92 apply (zenon_L345_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H368). zenon_intro zenon_Ha. zenon_intro zenon_H372.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H2a9. zenon_intro zenon_H373.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H2aa. zenon_intro zenon_H2a8.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H369 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H5 | zenon_intro zenon_H36a ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H25 | zenon_intro zenon_H2d4 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H3 | zenon_intro zenon_H36b ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H98 | zenon_intro zenon_H1a9 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.92 apply (zenon_L353_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ].
% 0.67/0.92 apply (zenon_L361_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H154 | zenon_intro zenon_H189 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ].
% 0.67/0.92 apply (zenon_L365_); trivial.
% 0.67/0.92 apply (zenon_L352_); trivial.
% 0.67/0.92 apply (zenon_L367_); trivial.
% 0.67/0.92 apply (zenon_L148_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_Ha. zenon_intro zenon_H36c.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H36c). zenon_intro zenon_H14b. zenon_intro zenon_H36d.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H36d). zenon_intro zenon_H149. zenon_intro zenon_H14a.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H98 | zenon_intro zenon_H1a9 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.92 apply (zenon_L353_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ].
% 0.67/0.92 apply (zenon_L372_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H154 | zenon_intro zenon_H189 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hab | zenon_intro zenon_H10c ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H39 | zenon_intro zenon_H5e ].
% 0.67/0.92 apply (zenon_L363_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_Ha. zenon_intro zenon_H60.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H43. zenon_intro zenon_H61.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H42. zenon_intro zenon_H44.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hd6 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ].
% 0.67/0.92 apply (zenon_L89_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15a. zenon_intro zenon_H190.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ].
% 0.67/0.92 apply (zenon_L285_); trivial.
% 0.67/0.92 apply (zenon_L375_); trivial.
% 0.67/0.92 apply (zenon_L53_); trivial.
% 0.67/0.92 apply (zenon_L349_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha. zenon_intro zenon_H110.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Hf9. zenon_intro zenon_H111.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_Hfa. zenon_intro zenon_Hf8.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H39 | zenon_intro zenon_H5e ].
% 0.67/0.92 apply (zenon_L355_); trivial.
% 0.67/0.92 apply (zenon_L376_); trivial.
% 0.67/0.92 apply (zenon_L352_); trivial.
% 0.67/0.92 apply (zenon_L367_); trivial.
% 0.67/0.92 apply (zenon_L148_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_Ha. zenon_intro zenon_H2d7.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_H1b0. zenon_intro zenon_H2d8.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_H1b1. zenon_intro zenon_H1af.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H98 | zenon_intro zenon_H1a9 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.92 apply (zenon_L378_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ].
% 0.67/0.92 apply (zenon_L380_); trivial.
% 0.67/0.92 apply (zenon_L352_); trivial.
% 0.67/0.92 apply (zenon_L148_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_Ha. zenon_intro zenon_H36e.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H36e). zenon_intro zenon_H214. zenon_intro zenon_H36f.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H36f). zenon_intro zenon_H20a. zenon_intro zenon_H209.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H25 | zenon_intro zenon_H2d4 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H3 | zenon_intro zenon_H36b ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d9 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H98 | zenon_intro zenon_H1a9 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ].
% 0.67/0.92 apply (zenon_L163_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ].
% 0.67/0.92 apply (zenon_L383_); trivial.
% 0.67/0.92 apply (zenon_L384_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ].
% 0.67/0.92 apply (zenon_L385_); trivial.
% 0.67/0.92 apply (zenon_L384_); trivial.
% 0.67/0.92 apply (zenon_L395_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1ab.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H139. zenon_intro zenon_H1ac.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H13a. zenon_intro zenon_H13b.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ].
% 0.67/0.92 apply (zenon_L163_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ].
% 0.67/0.92 apply (zenon_L383_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ].
% 0.67/0.92 apply (zenon_L202_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H23f.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H31. zenon_intro zenon_H240.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H32. zenon_intro zenon_H30.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1b | zenon_intro zenon_Hf7 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H222 | zenon_intro zenon_H267 ].
% 0.67/0.92 apply (zenon_L396_); trivial.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H17d | zenon_intro zenon_H1cf ].
% 0.67/0.92 apply (zenon_L204_); trivial.
% 0.67/0.92 exact (zenon_H1ce zenon_H1cf).
% 0.67/0.92 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hea | zenon_intro zenon_Hf3 ].
% 0.67/0.92 apply (zenon_L157_); trivial.
% 0.67/0.92 exact (zenon_Hf2 zenon_Hf3).
% 0.67/0.92 apply (zenon_L398_); trivial.
% 0.67/0.92 apply (zenon_L395_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_Ha. zenon_intro zenon_H2db.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H1ff. zenon_intro zenon_H2dc.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ].
% 0.67/0.92 apply (zenon_L163_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ].
% 0.67/0.92 apply (zenon_L383_); trivial.
% 0.67/0.92 apply (zenon_L332_); trivial.
% 0.67/0.92 apply (zenon_L399_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_Ha. zenon_intro zenon_H36c.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H36c). zenon_intro zenon_H14b. zenon_intro zenon_H36d.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H36d). zenon_intro zenon_H149. zenon_intro zenon_H14a.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d9 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H98 | zenon_intro zenon_H1a9 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ].
% 0.67/0.92 apply (zenon_L163_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3d | zenon_intro zenon_H59 ].
% 0.67/0.92 apply (zenon_L325_); trivial.
% 0.67/0.92 apply (zenon_L74_); trivial.
% 0.67/0.92 apply (zenon_L262_); trivial.
% 0.67/0.92 apply (zenon_L400_); trivial.
% 0.67/0.92 apply (zenon_L401_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1ab.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H139. zenon_intro zenon_H1ac.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H13a. zenon_intro zenon_H13b.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ].
% 0.67/0.92 apply (zenon_L163_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.92 apply (zenon_L404_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c4 ].
% 0.67/0.92 apply (zenon_L407_); trivial.
% 0.67/0.92 apply (zenon_L409_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_Ha. zenon_intro zenon_H2db.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H1ff. zenon_intro zenon_H2dc.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H154 | zenon_intro zenon_H189 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ].
% 0.67/0.92 apply (zenon_L412_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H23f.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H31. zenon_intro zenon_H240.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H32. zenon_intro zenon_H30.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ].
% 0.67/0.92 apply (zenon_L416_); trivial.
% 0.67/0.92 apply (zenon_L342_); trivial.
% 0.67/0.92 apply (zenon_L421_); trivial.
% 0.67/0.92 apply (zenon_L425_); trivial.
% 0.67/0.92 apply (zenon_L103_); trivial.
% 0.67/0.92 apply (zenon_L344_); trivial.
% 0.67/0.92 apply (zenon_L399_); trivial.
% 0.67/0.92 apply (zenon_L431_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.92 apply (zenon_L404_); trivial.
% 0.67/0.92 apply (zenon_L432_); trivial.
% 0.67/0.92 apply (zenon_L434_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H369). zenon_intro zenon_Ha. zenon_intro zenon_H370.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H370). zenon_intro zenon_H223. zenon_intro zenon_H371.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H224. zenon_intro zenon_H225.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H5 | zenon_intro zenon_H36a ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H25 | zenon_intro zenon_H2d4 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H3 | zenon_intro zenon_H36b ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d9 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ].
% 0.67/0.92 apply (zenon_L171_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ].
% 0.67/0.92 apply (zenon_L442_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H154 | zenon_intro zenon_H189 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H222 | zenon_intro zenon_H233 ].
% 0.67/0.92 apply (zenon_L170_); trivial.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H6f ].
% 0.67/0.92 apply (zenon_L136_); trivial.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H64 | zenon_intro zenon_H26b ].
% 0.67/0.92 apply (zenon_L255_); trivial.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H195 | zenon_intro zenon_H155 ].
% 0.67/0.92 apply (zenon_L428_); trivial.
% 0.67/0.92 exact (zenon_H154 zenon_H155).
% 0.67/0.92 apply (zenon_L219_); trivial.
% 0.67/0.92 apply (zenon_L444_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ].
% 0.67/0.92 apply (zenon_L451_); trivial.
% 0.67/0.92 apply (zenon_L206_); trivial.
% 0.67/0.92 apply (zenon_L220_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.92 apply (zenon_L452_); trivial.
% 0.67/0.92 apply (zenon_L444_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_Ha. zenon_intro zenon_H2db.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H1ff. zenon_intro zenon_H2dc.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ].
% 0.67/0.92 apply (zenon_L171_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ].
% 0.67/0.92 apply (zenon_L442_); trivial.
% 0.67/0.92 apply (zenon_L278_); trivial.
% 0.67/0.92 apply (zenon_L453_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ].
% 0.67/0.92 apply (zenon_L451_); trivial.
% 0.67/0.92 apply (zenon_L227_); trivial.
% 0.67/0.92 apply (zenon_L229_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.92 apply (zenon_L452_); trivial.
% 0.67/0.92 apply (zenon_L453_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_Ha. zenon_intro zenon_H36c.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H36c). zenon_intro zenon_H14b. zenon_intro zenon_H36d.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H36d). zenon_intro zenon_H149. zenon_intro zenon_H14a.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d9 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H154 | zenon_intro zenon_H189 ].
% 0.67/0.92 apply (zenon_L454_); trivial.
% 0.67/0.92 apply (zenon_L219_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_Ha. zenon_intro zenon_H2db.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H1ff. zenon_intro zenon_H2dc.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ].
% 0.67/0.92 apply (zenon_L171_); trivial.
% 0.67/0.92 apply (zenon_L459_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hab | zenon_intro zenon_H10c ].
% 0.67/0.92 apply (zenon_L85_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Ha. zenon_intro zenon_H10d.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Hdd. zenon_intro zenon_H10e.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ].
% 0.67/0.92 apply (zenon_L448_); trivial.
% 0.67/0.92 apply (zenon_L262_); trivial.
% 0.67/0.92 apply (zenon_L283_); trivial.
% 0.67/0.92 apply (zenon_L459_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_Ha. zenon_intro zenon_H2d7.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_H1b0. zenon_intro zenon_H2d8.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_H1b1. zenon_intro zenon_H1af.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H3 | zenon_intro zenon_H36b ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ].
% 0.67/0.92 apply (zenon_L433_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.92 apply (zenon_L378_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ].
% 0.67/0.92 apply (zenon_L125_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H24e | zenon_intro zenon_H25b ].
% 0.67/0.92 apply (zenon_L460_); trivial.
% 0.67/0.92 apply (zenon_L201_); trivial.
% 0.67/0.92 apply (zenon_L461_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_Ha. zenon_intro zenon_H36c.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H36c). zenon_intro zenon_H14b. zenon_intro zenon_H36d.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H36d). zenon_intro zenon_H149. zenon_intro zenon_H14a.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ].
% 0.67/0.92 apply (zenon_L433_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.92 apply (zenon_L378_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H154 | zenon_intro zenon_H189 ].
% 0.67/0.92 apply (zenon_L454_); trivial.
% 0.67/0.92 apply (zenon_L463_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_Ha. zenon_intro zenon_H36e.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H36e). zenon_intro zenon_H214. zenon_intro zenon_H36f.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H36f). zenon_intro zenon_H20a. zenon_intro zenon_H209.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H25 | zenon_intro zenon_H2d4 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d9 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ].
% 0.67/0.92 apply (zenon_L465_); trivial.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221.
% 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119.
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ].
% 0.67/0.92 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ].
% 0.67/0.92 apply (zenon_L314_); trivial.
% 0.67/0.92 apply (zenon_L469_); trivial.
% 0.67/0.92 apply (zenon_L205_); trivial.
% 0.67/0.92 apply (zenon_L313_); trivial.
% 0.67/0.92 apply (zenon_L464_); trivial.
% 0.67/0.92 apply (zenon_L478_); trivial.
% 0.67/0.92 apply (zenon_L434_); trivial.
% 0.67/0.92 Qed.
% 0.67/0.92 % SZS output end Proof
% 0.67/0.92 (* END-PROOF *)
% 0.67/0.92 nodes searched: 32775
% 0.67/0.92 max branch formulas: 463
% 0.67/0.92 proof nodes created: 3370
% 0.67/0.92 formulas created: 39322
% 0.67/0.92
%------------------------------------------------------------------------------