TSTP Solution File: SYN489+1 by Zenon---0.7.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SYN489+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n019.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 13:53:31 EDT 2022
% Result : Theorem 1.06s 1.30s
% Output : Proof 1.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN489+1 : TPTP v8.1.0. Released v2.1.0.
% 0.11/0.13 % Command : run_zenon %s %d
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jul 12 06:35:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.06/1.30 (* PROOF-FOUND *)
% 1.06/1.30 % SZS status Theorem
% 1.06/1.30 (* BEGIN-PROOF *)
% 1.06/1.30 % SZS output start Proof
% 1.06/1.30 Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((~(c0_1 (a2516)))/\((~(c1_1 (a2516)))/\(~(c2_1 (a2516)))))))/\(((~(hskp1))\/((ndr1_0)/\((c2_1 (a2517))/\((~(c0_1 (a2517)))/\(~(c3_1 (a2517)))))))/\(((~(hskp2))\/((ndr1_0)/\((c1_1 (a2518))/\((~(c0_1 (a2518)))/\(~(c3_1 (a2518)))))))/\(((~(hskp3))\/((ndr1_0)/\((~(c0_1 (a2519)))/\((~(c2_1 (a2519)))/\(~(c3_1 (a2519)))))))/\(((~(hskp4))\/((ndr1_0)/\((c2_1 (a2521))/\((c3_1 (a2521))/\(~(c1_1 (a2521)))))))/\(((~(hskp5))\/((ndr1_0)/\((c2_1 (a2522))/\((c3_1 (a2522))/\(~(c0_1 (a2522)))))))/\(((~(hskp6))\/((ndr1_0)/\((c0_1 (a2523))/\((c1_1 (a2523))/\(~(c3_1 (a2523)))))))/\(((~(hskp7))\/((ndr1_0)/\((c1_1 (a2524))/\((c3_1 (a2524))/\(~(c2_1 (a2524)))))))/\(((~(hskp8))\/((ndr1_0)/\((c0_1 (a2525))/\((c2_1 (a2525))/\(~(c3_1 (a2525)))))))/\(((~(hskp9))\/((ndr1_0)/\((c1_1 (a2526))/\((c3_1 (a2526))/\(~(c0_1 (a2526)))))))/\(((~(hskp10))\/((ndr1_0)/\((c3_1 (a2528))/\((~(c0_1 (a2528)))/\(~(c1_1 (a2528)))))))/\(((~(hskp11))\/((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531)))))))/\(((~(hskp12))\/((ndr1_0)/\((~(c1_1 (a2533)))/\((~(c2_1 (a2533)))/\(~(c3_1 (a2533)))))))/\(((~(hskp13))\/((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534)))))))/\(((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))))/\(((~(hskp15))\/((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539)))))))/\(((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))))/\(((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))))/\(((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545)))))))/\(((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548)))))))/\(((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549)))))))/\(((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551)))))))/\(((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552)))))))/\(((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553)))))))/\(((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555)))))))/\(((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564)))))))/\(((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601)))))))/\(((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614)))))))/\(((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529))))))/\(((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556))))))/\(((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558))))))/\(((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp0)))/\(((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(hskp1)))/\(((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))))/\(((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2)))/\(((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))))/\(((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3)))/\(((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))))/\(((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))))/\(((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp0)))/\(((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/(hskp4)))/\(((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp5)))/\(((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp6)\/(hskp7)))/\(((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8)))/\(((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9)))/\(((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1)))/\(((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10)))/\(((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3)))/\(((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11)))/\(((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))))/\(((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37))))))\/(hskp0)))/\(((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp12)))/\(((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((hskp13)\/(hskp4)))/\(((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))))/\(((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14)))/\(((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13)))/\(((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))))/\(((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15)))/\(((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16)))/\(((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17)))/\(((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((hskp15)\/(hskp0)))/\(((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))))/\(((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14)))/\(((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((hskp18)\/(hskp10)))/\(((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14)))/\(((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20)))/\(((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37))))))))/\(((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7)))/\(((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((hskp21)\/(hskp22)))/\(((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((hskp23)\/(hskp1)))/\(((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24)))/\(((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))))/\(((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29)))/\(((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2)))/\(((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22)))/\(((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp29)\/(hskp2)))/\(((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14)))/\(((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3)))/\(((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp18)\/(hskp0)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22)))/\(((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24)))/\(((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp8)\/(hskp7)))/\(((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21)))/\(((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10)))/\(((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16)))/\(((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp9)\/(hskp4)))/\(((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9)))/\(((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25)))/\(((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6)))/\(((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18)))/\(((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10)))/\(((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20)))/\(((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/((hskp28)\/(hskp1)))/\(((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3)))/\(((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/((hskp6)\/(hskp20)))/\(((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23)))/\(((hskp30)\/((hskp21)\/(hskp26)))/\(((hskp21)\/((hskp18)\/(hskp1)))/\(((hskp21)\/((hskp2)\/(hskp20)))/\(((hskp6)\/((hskp19)\/(hskp16)))/\(((hskp24)\/(hskp0))/\(((hskp23)\/(hskp27))/\(((hskp7)\/((hskp13)\/(hskp12)))/\((hskp2)\/((hskp27)\/(hskp3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))).
% 1.06/1.30 Proof.
% 1.06/1.30 assert (zenon_L1_ : (~(hskp6)) -> (hskp6) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H1 zenon_H2.
% 1.06/1.30 exact (zenon_H1 zenon_H2).
% 1.06/1.30 (* end of lemma zenon_L1_ *)
% 1.06/1.30 assert (zenon_L2_ : (~(hskp19)) -> (hskp19) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H3 zenon_H4.
% 1.06/1.30 exact (zenon_H3 zenon_H4).
% 1.06/1.30 (* end of lemma zenon_L2_ *)
% 1.06/1.30 assert (zenon_L3_ : (~(hskp16)) -> (hskp16) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H5 zenon_H6.
% 1.06/1.30 exact (zenon_H5 zenon_H6).
% 1.06/1.30 (* end of lemma zenon_L3_ *)
% 1.06/1.30 assert (zenon_L4_ : ((hskp6)\/((hskp19)\/(hskp16))) -> (~(hskp6)) -> (~(hskp19)) -> (~(hskp16)) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H7 zenon_H1 zenon_H3 zenon_H5.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H2 | zenon_intro zenon_H8 ].
% 1.06/1.30 exact (zenon_H1 zenon_H2).
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H8); [ zenon_intro zenon_H4 | zenon_intro zenon_H6 ].
% 1.06/1.30 exact (zenon_H3 zenon_H4).
% 1.06/1.30 exact (zenon_H5 zenon_H6).
% 1.06/1.30 (* end of lemma zenon_L4_ *)
% 1.06/1.30 assert (zenon_L5_ : (~(hskp21)) -> (hskp21) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H9 zenon_Ha.
% 1.06/1.30 exact (zenon_H9 zenon_Ha).
% 1.06/1.30 (* end of lemma zenon_L5_ *)
% 1.06/1.30 assert (zenon_L6_ : (~(hskp18)) -> (hskp18) -> False).
% 1.06/1.30 do 0 intro. intros zenon_Hb zenon_Hc.
% 1.06/1.30 exact (zenon_Hb zenon_Hc).
% 1.06/1.30 (* end of lemma zenon_L6_ *)
% 1.06/1.30 assert (zenon_L7_ : (~(hskp1)) -> (hskp1) -> False).
% 1.06/1.30 do 0 intro. intros zenon_Hd zenon_He.
% 1.06/1.30 exact (zenon_Hd zenon_He).
% 1.06/1.30 (* end of lemma zenon_L7_ *)
% 1.06/1.30 assert (zenon_L8_ : ((hskp21)\/((hskp18)\/(hskp1))) -> (~(hskp21)) -> (~(hskp18)) -> (~(hskp1)) -> False).
% 1.06/1.30 do 0 intro. intros zenon_Hf zenon_H9 zenon_Hb zenon_Hd.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_Hf); [ zenon_intro zenon_Ha | zenon_intro zenon_H10 ].
% 1.06/1.30 exact (zenon_H9 zenon_Ha).
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H10); [ zenon_intro zenon_Hc | zenon_intro zenon_He ].
% 1.06/1.30 exact (zenon_Hb zenon_Hc).
% 1.06/1.30 exact (zenon_Hd zenon_He).
% 1.06/1.30 (* end of lemma zenon_L8_ *)
% 1.06/1.30 assert (zenon_L9_ : (~(ndr1_0)) -> (ndr1_0) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H11 zenon_H12.
% 1.06/1.30 exact (zenon_H11 zenon_H12).
% 1.06/1.30 (* end of lemma zenon_L9_ *)
% 1.06/1.30 assert (zenon_L10_ : (forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))) -> (ndr1_0) -> (~(c2_1 (a2551))) -> (c0_1 (a2551)) -> (c1_1 (a2551)) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H13 zenon_H12 zenon_H14 zenon_H15 zenon_H16.
% 1.06/1.30 generalize (zenon_H13 (a2551)). zenon_intro zenon_H17.
% 1.06/1.30 apply (zenon_imply_s _ _ zenon_H17); [ zenon_intro zenon_H11 | zenon_intro zenon_H18 ].
% 1.06/1.30 exact (zenon_H11 zenon_H12).
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H18); [ zenon_intro zenon_H1a | zenon_intro zenon_H19 ].
% 1.06/1.30 exact (zenon_H14 zenon_H1a).
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H19); [ zenon_intro zenon_H1c | zenon_intro zenon_H1b ].
% 1.06/1.30 exact (zenon_H1c zenon_H15).
% 1.06/1.30 exact (zenon_H1b zenon_H16).
% 1.06/1.30 (* end of lemma zenon_L10_ *)
% 1.06/1.30 assert (zenon_L11_ : (~(hskp30)) -> (hskp30) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H1d zenon_H1e.
% 1.06/1.30 exact (zenon_H1d zenon_H1e).
% 1.06/1.30 (* end of lemma zenon_L11_ *)
% 1.06/1.30 assert (zenon_L12_ : (~(hskp9)) -> (hskp9) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H1f zenon_H20.
% 1.06/1.30 exact (zenon_H1f zenon_H20).
% 1.06/1.30 (* end of lemma zenon_L12_ *)
% 1.06/1.30 assert (zenon_L13_ : ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (c1_1 (a2551)) -> (c0_1 (a2551)) -> (~(c2_1 (a2551))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp9)) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H21 zenon_H16 zenon_H15 zenon_H14 zenon_H12 zenon_H1d zenon_H1f.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H13 | zenon_intro zenon_H22 ].
% 1.06/1.30 apply (zenon_L10_); trivial.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H1e | zenon_intro zenon_H20 ].
% 1.06/1.30 exact (zenon_H1d zenon_H1e).
% 1.06/1.30 exact (zenon_H1f zenon_H20).
% 1.06/1.30 (* end of lemma zenon_L13_ *)
% 1.06/1.30 assert (zenon_L14_ : (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H23 zenon_H12 zenon_H24 zenon_H25 zenon_H26.
% 1.06/1.30 generalize (zenon_H23 (a2548)). zenon_intro zenon_H27.
% 1.06/1.30 apply (zenon_imply_s _ _ zenon_H27); [ zenon_intro zenon_H11 | zenon_intro zenon_H28 ].
% 1.06/1.30 exact (zenon_H11 zenon_H12).
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H2a | zenon_intro zenon_H29 ].
% 1.06/1.30 exact (zenon_H24 zenon_H2a).
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_H2c | zenon_intro zenon_H2b ].
% 1.06/1.30 exact (zenon_H2c zenon_H25).
% 1.06/1.30 exact (zenon_H2b zenon_H26).
% 1.06/1.30 (* end of lemma zenon_L14_ *)
% 1.06/1.30 assert (zenon_L15_ : (forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (ndr1_0) -> (c0_1 (a2558)) -> (c1_1 (a2558)) -> (c2_1 (a2558)) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H2d zenon_H12 zenon_H2e zenon_H2f zenon_H30.
% 1.06/1.30 generalize (zenon_H2d (a2558)). zenon_intro zenon_H31.
% 1.06/1.30 apply (zenon_imply_s _ _ zenon_H31); [ zenon_intro zenon_H11 | zenon_intro zenon_H32 ].
% 1.06/1.30 exact (zenon_H11 zenon_H12).
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H34 | zenon_intro zenon_H33 ].
% 1.06/1.30 exact (zenon_H34 zenon_H2e).
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H36 | zenon_intro zenon_H35 ].
% 1.06/1.30 exact (zenon_H36 zenon_H2f).
% 1.06/1.30 exact (zenon_H35 zenon_H30).
% 1.06/1.30 (* end of lemma zenon_L15_ *)
% 1.06/1.30 assert (zenon_L16_ : (~(hskp28)) -> (hskp28) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H37 zenon_H38.
% 1.06/1.30 exact (zenon_H37 zenon_H38).
% 1.06/1.30 (* end of lemma zenon_L16_ *)
% 1.06/1.30 assert (zenon_L17_ : ((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> (~(hskp28)) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H39 zenon_H3a zenon_H26 zenon_H25 zenon_H24 zenon_H37.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H12. zenon_intro zenon_H3b.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H2e. zenon_intro zenon_H3c.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H2f. zenon_intro zenon_H30.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H23 | zenon_intro zenon_H3d ].
% 1.06/1.30 apply (zenon_L14_); trivial.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H2d | zenon_intro zenon_H38 ].
% 1.06/1.30 apply (zenon_L15_); trivial.
% 1.06/1.30 exact (zenon_H37 zenon_H38).
% 1.06/1.30 (* end of lemma zenon_L17_ *)
% 1.06/1.30 assert (zenon_L18_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> (~(hskp28)) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> (ndr1_0) -> (~(c2_1 (a2551))) -> (c0_1 (a2551)) -> (c1_1 (a2551)) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H3e zenon_H3a zenon_H37 zenon_H26 zenon_H25 zenon_H24 zenon_H12 zenon_H14 zenon_H15 zenon_H16 zenon_H1f zenon_H21.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H1d | zenon_intro zenon_H39 ].
% 1.06/1.30 apply (zenon_L13_); trivial.
% 1.06/1.30 apply (zenon_L17_); trivial.
% 1.06/1.30 (* end of lemma zenon_L18_ *)
% 1.06/1.30 assert (zenon_L19_ : (forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))) -> (ndr1_0) -> (c0_1 (a2529)) -> (c2_1 (a2529)) -> (c3_1 (a2529)) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H3f zenon_H12 zenon_H40 zenon_H41 zenon_H42.
% 1.06/1.30 generalize (zenon_H3f (a2529)). zenon_intro zenon_H43.
% 1.06/1.30 apply (zenon_imply_s _ _ zenon_H43); [ zenon_intro zenon_H11 | zenon_intro zenon_H44 ].
% 1.06/1.30 exact (zenon_H11 zenon_H12).
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H46 | zenon_intro zenon_H45 ].
% 1.06/1.30 exact (zenon_H46 zenon_H40).
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H48 | zenon_intro zenon_H47 ].
% 1.06/1.30 exact (zenon_H48 zenon_H41).
% 1.06/1.30 exact (zenon_H47 zenon_H42).
% 1.06/1.30 (* end of lemma zenon_L19_ *)
% 1.06/1.30 assert (zenon_L20_ : (~(hskp3)) -> (hskp3) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H49 zenon_H4a.
% 1.06/1.30 exact (zenon_H49 zenon_H4a).
% 1.06/1.30 (* end of lemma zenon_L20_ *)
% 1.06/1.30 assert (zenon_L21_ : ((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (c3_1 (a2529)) -> (c2_1 (a2529)) -> (c0_1 (a2529)) -> (~(hskp3)) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H39 zenon_H4b zenon_H42 zenon_H41 zenon_H40 zenon_H49.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H12. zenon_intro zenon_H3b.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H2e. zenon_intro zenon_H3c.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H2f. zenon_intro zenon_H30.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2d | zenon_intro zenon_H4c ].
% 1.06/1.30 apply (zenon_L15_); trivial.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H3f | zenon_intro zenon_H4a ].
% 1.06/1.30 apply (zenon_L19_); trivial.
% 1.06/1.30 exact (zenon_H49 zenon_H4a).
% 1.06/1.30 (* end of lemma zenon_L21_ *)
% 1.06/1.30 assert (zenon_L22_ : ((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a2551))) -> (c0_1 (a2551)) -> (c1_1 (a2551)) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H4d zenon_H3e zenon_H4b zenon_H49 zenon_H14 zenon_H15 zenon_H16 zenon_H1f zenon_H21.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H12. zenon_intro zenon_H4e.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H40. zenon_intro zenon_H4f.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H41. zenon_intro zenon_H42.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H1d | zenon_intro zenon_H39 ].
% 1.06/1.30 apply (zenon_L13_); trivial.
% 1.06/1.30 apply (zenon_L21_); trivial.
% 1.06/1.30 (* end of lemma zenon_L22_ *)
% 1.06/1.30 assert (zenon_L23_ : ((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H50 zenon_H51 zenon_H4b zenon_H49 zenon_H21 zenon_H1f zenon_H24 zenon_H25 zenon_H26 zenon_H3a zenon_H3e.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ].
% 1.06/1.30 apply (zenon_L18_); trivial.
% 1.06/1.30 apply (zenon_L22_); trivial.
% 1.06/1.30 (* end of lemma zenon_L23_ *)
% 1.06/1.30 assert (zenon_L24_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> (~(hskp18)) -> (~(hskp1)) -> ((hskp21)\/((hskp18)\/(hskp1))) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H54 zenon_H51 zenon_H4b zenon_H49 zenon_H21 zenon_H1f zenon_H24 zenon_H25 zenon_H26 zenon_H3a zenon_H3e zenon_Hb zenon_Hd zenon_Hf.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.06/1.30 apply (zenon_L8_); trivial.
% 1.06/1.30 apply (zenon_L23_); trivial.
% 1.06/1.30 (* end of lemma zenon_L24_ *)
% 1.06/1.30 assert (zenon_L25_ : (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5)))))) -> (ndr1_0) -> (~(c0_1 (a2545))) -> (c1_1 (a2545)) -> (c2_1 (a2545)) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H55 zenon_H12 zenon_H56 zenon_H57 zenon_H58.
% 1.06/1.30 generalize (zenon_H55 (a2545)). zenon_intro zenon_H59.
% 1.06/1.30 apply (zenon_imply_s _ _ zenon_H59); [ zenon_intro zenon_H11 | zenon_intro zenon_H5a ].
% 1.06/1.30 exact (zenon_H11 zenon_H12).
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H5c | zenon_intro zenon_H5b ].
% 1.06/1.30 exact (zenon_H56 zenon_H5c).
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H5e | zenon_intro zenon_H5d ].
% 1.06/1.30 exact (zenon_H5e zenon_H57).
% 1.06/1.30 exact (zenon_H5d zenon_H58).
% 1.06/1.30 (* end of lemma zenon_L25_ *)
% 1.06/1.30 assert (zenon_L26_ : (~(hskp4)) -> (hskp4) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H5f zenon_H60.
% 1.06/1.30 exact (zenon_H5f zenon_H60).
% 1.06/1.30 (* end of lemma zenon_L26_ *)
% 1.06/1.30 assert (zenon_L27_ : (~(hskp15)) -> (hskp15) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H61 zenon_H62.
% 1.06/1.30 exact (zenon_H61 zenon_H62).
% 1.06/1.30 (* end of lemma zenon_L27_ *)
% 1.06/1.30 assert (zenon_L28_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> (c2_1 (a2545)) -> (c1_1 (a2545)) -> (~(c0_1 (a2545))) -> (ndr1_0) -> (~(hskp4)) -> (~(hskp15)) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H63 zenon_H58 zenon_H57 zenon_H56 zenon_H12 zenon_H5f zenon_H61.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H55 | zenon_intro zenon_H64 ].
% 1.06/1.30 apply (zenon_L25_); trivial.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H60 | zenon_intro zenon_H62 ].
% 1.06/1.30 exact (zenon_H5f zenon_H60).
% 1.06/1.30 exact (zenon_H61 zenon_H62).
% 1.06/1.30 (* end of lemma zenon_L28_ *)
% 1.06/1.30 assert (zenon_L29_ : (forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74)))))) -> (ndr1_0) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H65 zenon_H12 zenon_H66 zenon_H67 zenon_H68.
% 1.06/1.30 generalize (zenon_H65 (a2540)). zenon_intro zenon_H69.
% 1.06/1.30 apply (zenon_imply_s _ _ zenon_H69); [ zenon_intro zenon_H11 | zenon_intro zenon_H6a ].
% 1.06/1.30 exact (zenon_H11 zenon_H12).
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 1.06/1.30 exact (zenon_H66 zenon_H6c).
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H6e | zenon_intro zenon_H6d ].
% 1.06/1.30 exact (zenon_H67 zenon_H6e).
% 1.06/1.30 exact (zenon_H6d zenon_H68).
% 1.06/1.30 (* end of lemma zenon_L29_ *)
% 1.06/1.30 assert (zenon_L30_ : ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp9)\/(hskp4))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (ndr1_0) -> (~(hskp9)) -> (~(hskp4)) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H6f zenon_H68 zenon_H67 zenon_H66 zenon_H12 zenon_H1f zenon_H5f.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H65 | zenon_intro zenon_H70 ].
% 1.06/1.30 apply (zenon_L29_); trivial.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H20 | zenon_intro zenon_H60 ].
% 1.06/1.30 exact (zenon_H1f zenon_H20).
% 1.06/1.30 exact (zenon_H5f zenon_H60).
% 1.06/1.30 (* end of lemma zenon_L30_ *)
% 1.06/1.30 assert (zenon_L31_ : ((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> (~(hskp18)) -> (~(hskp1)) -> ((hskp21)\/((hskp18)\/(hskp1))) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H71 zenon_H54 zenon_H51 zenon_H4b zenon_H49 zenon_H21 zenon_H1f zenon_H3a zenon_H3e zenon_Hb zenon_Hd zenon_Hf.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.06/1.30 apply (zenon_L24_); trivial.
% 1.06/1.30 (* end of lemma zenon_L31_ *)
% 1.06/1.30 assert (zenon_L32_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> (~(hskp18)) -> (~(hskp1)) -> ((hskp21)\/((hskp18)\/(hskp1))) -> (~(hskp6)) -> (~(hskp16)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H74 zenon_H54 zenon_H51 zenon_H4b zenon_H49 zenon_H21 zenon_H1f zenon_H3a zenon_H3e zenon_Hb zenon_Hd zenon_Hf zenon_H1 zenon_H5 zenon_H7.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.06/1.30 apply (zenon_L4_); trivial.
% 1.06/1.30 apply (zenon_L31_); trivial.
% 1.06/1.30 (* end of lemma zenon_L32_ *)
% 1.06/1.30 assert (zenon_L33_ : (~(hskp2)) -> (hskp2) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H75 zenon_H76.
% 1.06/1.30 exact (zenon_H75 zenon_H76).
% 1.06/1.30 (* end of lemma zenon_L33_ *)
% 1.06/1.30 assert (zenon_L34_ : (~(hskp20)) -> (hskp20) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H77 zenon_H78.
% 1.06/1.30 exact (zenon_H77 zenon_H78).
% 1.06/1.30 (* end of lemma zenon_L34_ *)
% 1.06/1.30 assert (zenon_L35_ : ((hskp21)\/((hskp2)\/(hskp20))) -> (~(hskp21)) -> (~(hskp2)) -> (~(hskp20)) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H79 zenon_H9 zenon_H75 zenon_H77.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_Ha | zenon_intro zenon_H7a ].
% 1.06/1.30 exact (zenon_H9 zenon_Ha).
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H76 | zenon_intro zenon_H78 ].
% 1.06/1.30 exact (zenon_H75 zenon_H76).
% 1.06/1.30 exact (zenon_H77 zenon_H78).
% 1.06/1.30 (* end of lemma zenon_L35_ *)
% 1.06/1.30 assert (zenon_L36_ : (~(hskp24)) -> (hskp24) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H7b zenon_H7c.
% 1.06/1.30 exact (zenon_H7b zenon_H7c).
% 1.06/1.30 (* end of lemma zenon_L36_ *)
% 1.06/1.30 assert (zenon_L37_ : (~(hskp25)) -> (hskp25) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H7d zenon_H7e.
% 1.06/1.30 exact (zenon_H7d zenon_H7e).
% 1.06/1.30 (* end of lemma zenon_L37_ *)
% 1.06/1.30 assert (zenon_L38_ : ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (c1_1 (a2551)) -> (c0_1 (a2551)) -> (~(c2_1 (a2551))) -> (ndr1_0) -> (~(hskp24)) -> (~(hskp25)) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H7f zenon_H16 zenon_H15 zenon_H14 zenon_H12 zenon_H7b zenon_H7d.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H13 | zenon_intro zenon_H80 ].
% 1.06/1.30 apply (zenon_L10_); trivial.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H7c | zenon_intro zenon_H7e ].
% 1.06/1.30 exact (zenon_H7b zenon_H7c).
% 1.06/1.30 exact (zenon_H7d zenon_H7e).
% 1.06/1.30 (* end of lemma zenon_L38_ *)
% 1.06/1.30 assert (zenon_L39_ : (forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23)))))) -> (ndr1_0) -> (~(c1_1 (a2564))) -> (~(c2_1 (a2564))) -> (c0_1 (a2564)) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H81 zenon_H12 zenon_H82 zenon_H83 zenon_H84.
% 1.06/1.30 generalize (zenon_H81 (a2564)). zenon_intro zenon_H85.
% 1.06/1.30 apply (zenon_imply_s _ _ zenon_H85); [ zenon_intro zenon_H11 | zenon_intro zenon_H86 ].
% 1.06/1.30 exact (zenon_H11 zenon_H12).
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H86); [ zenon_intro zenon_H88 | zenon_intro zenon_H87 ].
% 1.06/1.30 exact (zenon_H82 zenon_H88).
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H8a | zenon_intro zenon_H89 ].
% 1.06/1.30 exact (zenon_H83 zenon_H8a).
% 1.06/1.30 exact (zenon_H89 zenon_H84).
% 1.06/1.30 (* end of lemma zenon_L39_ *)
% 1.06/1.30 assert (zenon_L40_ : (~(hskp13)) -> (hskp13) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H8b zenon_H8c.
% 1.06/1.30 exact (zenon_H8b zenon_H8c).
% 1.06/1.30 (* end of lemma zenon_L40_ *)
% 1.06/1.30 assert (zenon_L41_ : ((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> (c2_1 (a2545)) -> (c1_1 (a2545)) -> (~(c0_1 (a2545))) -> (~(hskp13)) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H8d zenon_H8e zenon_H58 zenon_H57 zenon_H56 zenon_H8b.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H12. zenon_intro zenon_H8f.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H84. zenon_intro zenon_H90.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H82. zenon_intro zenon_H83.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H55 | zenon_intro zenon_H91 ].
% 1.06/1.30 apply (zenon_L25_); trivial.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H81 | zenon_intro zenon_H8c ].
% 1.06/1.30 apply (zenon_L39_); trivial.
% 1.06/1.30 exact (zenon_H8b zenon_H8c).
% 1.06/1.30 (* end of lemma zenon_L41_ *)
% 1.06/1.30 assert (zenon_L42_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a2545)) -> (c1_1 (a2545)) -> (~(c0_1 (a2545))) -> (ndr1_0) -> (~(c2_1 (a2551))) -> (c0_1 (a2551)) -> (c1_1 (a2551)) -> (~(hskp24)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H92 zenon_H8e zenon_H8b zenon_H58 zenon_H57 zenon_H56 zenon_H12 zenon_H14 zenon_H15 zenon_H16 zenon_H7b zenon_H7f.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.06/1.30 apply (zenon_L38_); trivial.
% 1.06/1.30 apply (zenon_L41_); trivial.
% 1.06/1.30 (* end of lemma zenon_L42_ *)
% 1.06/1.30 assert (zenon_L43_ : (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))) -> (ndr1_0) -> (~(c1_1 (a2555))) -> (c0_1 (a2555)) -> (c2_1 (a2555)) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H93 zenon_H12 zenon_H94 zenon_H95 zenon_H96.
% 1.06/1.30 generalize (zenon_H93 (a2555)). zenon_intro zenon_H97.
% 1.06/1.30 apply (zenon_imply_s _ _ zenon_H97); [ zenon_intro zenon_H11 | zenon_intro zenon_H98 ].
% 1.06/1.30 exact (zenon_H11 zenon_H12).
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H9a | zenon_intro zenon_H99 ].
% 1.06/1.30 exact (zenon_H94 zenon_H9a).
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H9c | zenon_intro zenon_H9b ].
% 1.06/1.30 exact (zenon_H9c zenon_H95).
% 1.06/1.30 exact (zenon_H9b zenon_H96).
% 1.06/1.30 (* end of lemma zenon_L43_ *)
% 1.06/1.30 assert (zenon_L44_ : ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (c2_1 (a2555)) -> (c0_1 (a2555)) -> (~(c1_1 (a2555))) -> (ndr1_0) -> (~(hskp25)) -> (~(hskp3)) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H9d zenon_H96 zenon_H95 zenon_H94 zenon_H12 zenon_H7d zenon_H49.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H93 | zenon_intro zenon_H9e ].
% 1.06/1.30 apply (zenon_L43_); trivial.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H7e | zenon_intro zenon_H4a ].
% 1.06/1.30 exact (zenon_H7d zenon_H7e).
% 1.06/1.30 exact (zenon_H49 zenon_H4a).
% 1.06/1.30 (* end of lemma zenon_L44_ *)
% 1.06/1.30 assert (zenon_L45_ : ((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a2545)) -> (c1_1 (a2545)) -> (~(c0_1 (a2545))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H9f zenon_H92 zenon_H8e zenon_H8b zenon_H58 zenon_H57 zenon_H56 zenon_H49 zenon_H9d.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.06/1.30 apply (zenon_L44_); trivial.
% 1.06/1.30 apply (zenon_L41_); trivial.
% 1.06/1.30 (* end of lemma zenon_L45_ *)
% 1.06/1.30 assert (zenon_L46_ : ((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(c0_1 (a2545))) -> (c1_1 (a2545)) -> (c2_1 (a2545)) -> (~(hskp13)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H50 zenon_Ha2 zenon_H49 zenon_H9d zenon_H7f zenon_H56 zenon_H57 zenon_H58 zenon_H8b zenon_H8e zenon_H92.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.06/1.30 apply (zenon_L42_); trivial.
% 1.06/1.30 apply (zenon_L45_); trivial.
% 1.06/1.30 (* end of lemma zenon_L46_ *)
% 1.06/1.30 assert (zenon_L47_ : (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (ndr1_0) -> (~(c0_1 (a2549))) -> (~(c1_1 (a2549))) -> (c2_1 (a2549)) -> False).
% 1.06/1.30 do 0 intro. intros zenon_Ha3 zenon_H12 zenon_Ha4 zenon_Ha5 zenon_Ha6.
% 1.06/1.30 generalize (zenon_Ha3 (a2549)). zenon_intro zenon_Ha7.
% 1.06/1.30 apply (zenon_imply_s _ _ zenon_Ha7); [ zenon_intro zenon_H11 | zenon_intro zenon_Ha8 ].
% 1.06/1.30 exact (zenon_H11 zenon_H12).
% 1.06/1.30 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_Haa | zenon_intro zenon_Ha9 ].
% 1.06/1.30 exact (zenon_Ha4 zenon_Haa).
% 1.06/1.30 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_Hac | zenon_intro zenon_Hab ].
% 1.06/1.30 exact (zenon_Ha5 zenon_Hac).
% 1.06/1.30 exact (zenon_Hab zenon_Ha6).
% 1.06/1.30 (* end of lemma zenon_L47_ *)
% 1.06/1.30 assert (zenon_L48_ : ((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (c2_1 (a2545)) -> (c1_1 (a2545)) -> (~(c0_1 (a2545))) -> (~(hskp3)) -> False).
% 1.06/1.30 do 0 intro. intros zenon_Had zenon_Hae zenon_H58 zenon_H57 zenon_H56 zenon_H49.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hb1 ].
% 1.06/1.30 apply (zenon_L47_); trivial.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H55 | zenon_intro zenon_H4a ].
% 1.06/1.30 apply (zenon_L25_); trivial.
% 1.06/1.30 exact (zenon_H49 zenon_H4a).
% 1.06/1.30 (* end of lemma zenon_L48_ *)
% 1.06/1.30 assert (zenon_L49_ : ((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((hskp21)\/((hskp2)\/(hskp20))) -> (~(hskp2)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> False).
% 1.06/1.30 do 0 intro. intros zenon_Hb2 zenon_Hb3 zenon_Hae zenon_H79 zenon_H75 zenon_H92 zenon_H8e zenon_H8b zenon_H7f zenon_H9d zenon_H49 zenon_Ha2 zenon_H54.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.06/1.30 apply (zenon_L35_); trivial.
% 1.06/1.30 apply (zenon_L46_); trivial.
% 1.06/1.30 apply (zenon_L48_); trivial.
% 1.06/1.30 (* end of lemma zenon_L49_ *)
% 1.06/1.30 assert (zenon_L50_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp9)\/(hskp4))) -> (~(hskp9)) -> (~(hskp4)) -> False).
% 1.06/1.30 do 0 intro. intros zenon_Hb6 zenon_H6f zenon_H1f zenon_H5f.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.06/1.30 apply (zenon_L30_); trivial.
% 1.06/1.30 (* end of lemma zenon_L50_ *)
% 1.06/1.30 assert (zenon_L51_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp9)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> (~(hskp1)) -> ((hskp21)\/((hskp18)\/(hskp1))) -> (~(hskp6)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(hskp13)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> (~(hskp2)) -> ((hskp21)\/((hskp2)\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.06/1.30 do 0 intro. intros zenon_Hb9 zenon_H6f zenon_H5f zenon_H74 zenon_H54 zenon_H51 zenon_H4b zenon_H49 zenon_H21 zenon_H1f zenon_H3a zenon_H3e zenon_Hd zenon_Hf zenon_H1 zenon_H7 zenon_Ha2 zenon_H9d zenon_H7f zenon_H8b zenon_H8e zenon_H92 zenon_H75 zenon_H79 zenon_Hae zenon_Hb3 zenon_Hba.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.06/1.30 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.06/1.30 apply (zenon_L32_); trivial.
% 1.06/1.30 apply (zenon_L49_); trivial.
% 1.06/1.30 apply (zenon_L50_); trivial.
% 1.06/1.30 (* end of lemma zenon_L51_ *)
% 1.06/1.30 assert (zenon_L52_ : (forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28)))))) -> (ndr1_0) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> False).
% 1.06/1.30 do 0 intro. intros zenon_Hbb zenon_H12 zenon_Hbc zenon_Hbd zenon_Hbe.
% 1.06/1.30 generalize (zenon_Hbb (a2534)). zenon_intro zenon_Hbf.
% 1.06/1.30 apply (zenon_imply_s _ _ zenon_Hbf); [ zenon_intro zenon_H11 | zenon_intro zenon_Hc0 ].
% 1.06/1.30 exact (zenon_H11 zenon_H12).
% 1.06/1.30 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hc2 | zenon_intro zenon_Hc1 ].
% 1.06/1.30 exact (zenon_Hbc zenon_Hc2).
% 1.06/1.30 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc3 ].
% 1.06/1.30 exact (zenon_Hbd zenon_Hc4).
% 1.06/1.30 exact (zenon_Hc3 zenon_Hbe).
% 1.06/1.30 (* end of lemma zenon_L52_ *)
% 1.06/1.30 assert (zenon_L53_ : ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp3)) -> False).
% 1.06/1.30 do 0 intro. intros zenon_Hc5 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H12 zenon_H37 zenon_H49.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hc6 ].
% 1.06/1.30 apply (zenon_L52_); trivial.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H38 | zenon_intro zenon_H4a ].
% 1.06/1.30 exact (zenon_H37 zenon_H38).
% 1.06/1.30 exact (zenon_H49 zenon_H4a).
% 1.06/1.30 (* end of lemma zenon_L53_ *)
% 1.06/1.30 assert (zenon_L54_ : ((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H50 zenon_H51 zenon_H3e zenon_H4b zenon_H1f zenon_H21 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H49 zenon_Hc5.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ].
% 1.06/1.30 apply (zenon_L53_); trivial.
% 1.06/1.30 apply (zenon_L22_); trivial.
% 1.06/1.30 (* end of lemma zenon_L54_ *)
% 1.06/1.30 assert (zenon_L55_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp18)) -> (~(hskp1)) -> ((hskp21)\/((hskp18)\/(hskp1))) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H54 zenon_H51 zenon_H3e zenon_H4b zenon_H1f zenon_H21 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H49 zenon_Hc5 zenon_Hb zenon_Hd zenon_Hf.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.06/1.30 apply (zenon_L8_); trivial.
% 1.06/1.30 apply (zenon_L54_); trivial.
% 1.06/1.30 (* end of lemma zenon_L55_ *)
% 1.06/1.30 assert (zenon_L56_ : (~(hskp23)) -> (hskp23) -> False).
% 1.06/1.30 do 0 intro. intros zenon_Hc7 zenon_Hc8.
% 1.06/1.30 exact (zenon_Hc7 zenon_Hc8).
% 1.06/1.30 (* end of lemma zenon_L56_ *)
% 1.06/1.30 assert (zenon_L57_ : (~(hskp27)) -> (hskp27) -> False).
% 1.06/1.30 do 0 intro. intros zenon_Hc9 zenon_Hca.
% 1.06/1.30 exact (zenon_Hc9 zenon_Hca).
% 1.06/1.30 (* end of lemma zenon_L57_ *)
% 1.06/1.30 assert (zenon_L58_ : ((hskp23)\/(hskp27)) -> (~(hskp27)) -> (~(hskp23)) -> False).
% 1.06/1.30 do 0 intro. intros zenon_Hcb zenon_Hc9 zenon_Hc7.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hca ].
% 1.06/1.30 exact (zenon_Hc7 zenon_Hc8).
% 1.06/1.30 exact (zenon_Hc9 zenon_Hca).
% 1.06/1.30 (* end of lemma zenon_L58_ *)
% 1.06/1.30 assert (zenon_L59_ : (forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25)))))) -> (ndr1_0) -> (~(c2_1 (a2614))) -> (~(c3_1 (a2614))) -> (c1_1 (a2614)) -> False).
% 1.06/1.30 do 0 intro. intros zenon_Hcc zenon_H12 zenon_Hcd zenon_Hce zenon_Hcf.
% 1.06/1.30 generalize (zenon_Hcc (a2614)). zenon_intro zenon_Hd0.
% 1.06/1.30 apply (zenon_imply_s _ _ zenon_Hd0); [ zenon_intro zenon_H11 | zenon_intro zenon_Hd1 ].
% 1.06/1.30 exact (zenon_H11 zenon_H12).
% 1.06/1.30 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hd2 ].
% 1.06/1.30 exact (zenon_Hcd zenon_Hd3).
% 1.06/1.30 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hd4 ].
% 1.06/1.30 exact (zenon_Hce zenon_Hd5).
% 1.06/1.30 exact (zenon_Hd4 zenon_Hcf).
% 1.06/1.30 (* end of lemma zenon_L59_ *)
% 1.06/1.30 assert (zenon_L60_ : (~(hskp10)) -> (hskp10) -> False).
% 1.06/1.30 do 0 intro. intros zenon_Hd6 zenon_Hd7.
% 1.06/1.30 exact (zenon_Hd6 zenon_Hd7).
% 1.06/1.30 (* end of lemma zenon_L60_ *)
% 1.06/1.30 assert (zenon_L61_ : ((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> (~(hskp10)) -> False).
% 1.06/1.30 do 0 intro. intros zenon_Hd8 zenon_Hd9 zenon_Hbe zenon_Hbd zenon_Hbc zenon_Hd6.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H12. zenon_intro zenon_Hda.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_Hcf. zenon_intro zenon_Hdb.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hcd. zenon_intro zenon_Hce.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hdc ].
% 1.06/1.30 apply (zenon_L52_); trivial.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hd7 ].
% 1.06/1.30 apply (zenon_L59_); trivial.
% 1.06/1.30 exact (zenon_Hd6 zenon_Hd7).
% 1.06/1.30 (* end of lemma zenon_L61_ *)
% 1.06/1.30 assert (zenon_L62_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> (~(hskp23)) -> ((hskp23)\/(hskp27)) -> False).
% 1.06/1.30 do 0 intro. intros zenon_Hdd zenon_Hd9 zenon_Hd6 zenon_Hbe zenon_Hbd zenon_Hbc zenon_Hc7 zenon_Hcb.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hd8 ].
% 1.06/1.30 apply (zenon_L58_); trivial.
% 1.06/1.30 apply (zenon_L61_); trivial.
% 1.06/1.30 (* end of lemma zenon_L62_ *)
% 1.06/1.30 assert (zenon_L63_ : (forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))) -> (ndr1_0) -> (~(c1_1 (a2553))) -> (~(c3_1 (a2553))) -> (c0_1 (a2553)) -> False).
% 1.06/1.30 do 0 intro. intros zenon_Hde zenon_H12 zenon_Hdf zenon_He0 zenon_He1.
% 1.06/1.30 generalize (zenon_Hde (a2553)). zenon_intro zenon_He2.
% 1.06/1.30 apply (zenon_imply_s _ _ zenon_He2); [ zenon_intro zenon_H11 | zenon_intro zenon_He3 ].
% 1.06/1.30 exact (zenon_H11 zenon_H12).
% 1.06/1.30 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_He5 | zenon_intro zenon_He4 ].
% 1.06/1.30 exact (zenon_Hdf zenon_He5).
% 1.06/1.30 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 1.06/1.30 exact (zenon_He0 zenon_He7).
% 1.06/1.30 exact (zenon_He6 zenon_He1).
% 1.06/1.30 (* end of lemma zenon_L63_ *)
% 1.06/1.30 assert (zenon_L64_ : (~(hskp14)) -> (hskp14) -> False).
% 1.06/1.30 do 0 intro. intros zenon_He8 zenon_He9.
% 1.06/1.30 exact (zenon_He8 zenon_He9).
% 1.06/1.30 (* end of lemma zenon_L64_ *)
% 1.06/1.30 assert (zenon_L65_ : ((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> (~(hskp20)) -> (~(hskp14)) -> False).
% 1.06/1.30 do 0 intro. intros zenon_Hea zenon_Heb zenon_H77 zenon_He8.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hde | zenon_intro zenon_Hee ].
% 1.06/1.30 apply (zenon_L63_); trivial.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H78 | zenon_intro zenon_He9 ].
% 1.06/1.30 exact (zenon_H77 zenon_H78).
% 1.06/1.30 exact (zenon_He8 zenon_He9).
% 1.06/1.30 (* end of lemma zenon_L65_ *)
% 1.06/1.30 assert (zenon_L66_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> (~(hskp14)) -> (~(hskp20)) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> (~(hskp10)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> False).
% 1.06/1.30 do 0 intro. intros zenon_Hef zenon_Heb zenon_He8 zenon_H77 zenon_Hcb zenon_Hbc zenon_Hbd zenon_Hbe zenon_Hd6 zenon_Hd9 zenon_Hdd.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.06/1.30 apply (zenon_L62_); trivial.
% 1.06/1.30 apply (zenon_L65_); trivial.
% 1.06/1.30 (* end of lemma zenon_L66_ *)
% 1.06/1.30 assert (zenon_L67_ : ((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> ((hskp23)\/(hskp27)) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.06/1.30 do 0 intro. intros zenon_Hb2 zenon_Hb3 zenon_Hae zenon_H49 zenon_Hdd zenon_Hd9 zenon_Hd6 zenon_Hbe zenon_Hbd zenon_Hbc zenon_Hcb zenon_He8 zenon_Heb zenon_Hef.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.06/1.30 apply (zenon_L66_); trivial.
% 1.06/1.30 apply (zenon_L48_); trivial.
% 1.06/1.30 (* end of lemma zenon_L67_ *)
% 1.06/1.30 assert (zenon_L68_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> (~(hskp10)) -> ((hskp23)\/(hskp27)) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((hskp21)\/((hskp18)\/(hskp1))) -> (~(hskp1)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> False).
% 1.06/1.30 do 0 intro. intros zenon_Hba zenon_Hb3 zenon_Hae zenon_Hdd zenon_Hd9 zenon_Hd6 zenon_Hcb zenon_He8 zenon_Heb zenon_Hef zenon_Hf zenon_Hd zenon_Hc5 zenon_H49 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H21 zenon_H1f zenon_H4b zenon_H3e zenon_H51 zenon_H54.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.06/1.30 apply (zenon_L55_); trivial.
% 1.06/1.30 apply (zenon_L67_); trivial.
% 1.06/1.30 (* end of lemma zenon_L68_ *)
% 1.06/1.30 assert (zenon_L69_ : ((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/((hskp6)\/(hskp20))) -> (~(hskp6)) -> (~(hskp20)) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H4d zenon_Hf0 zenon_H1 zenon_H77.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H12. zenon_intro zenon_H4e.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H40. zenon_intro zenon_H4f.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H41. zenon_intro zenon_H42.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H3f | zenon_intro zenon_Hf1 ].
% 1.06/1.30 apply (zenon_L19_); trivial.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H2 | zenon_intro zenon_H78 ].
% 1.06/1.30 exact (zenon_H1 zenon_H2).
% 1.06/1.30 exact (zenon_H77 zenon_H78).
% 1.06/1.30 (* end of lemma zenon_L69_ *)
% 1.06/1.30 assert (zenon_L70_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/((hskp6)\/(hskp20))) -> (~(hskp20)) -> (~(hskp6)) -> (ndr1_0) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H51 zenon_Hf0 zenon_H77 zenon_H1 zenon_H12 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H49 zenon_Hc5.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ].
% 1.06/1.30 apply (zenon_L53_); trivial.
% 1.06/1.30 apply (zenon_L69_); trivial.
% 1.06/1.30 (* end of lemma zenon_L70_ *)
% 1.06/1.30 assert (zenon_L71_ : (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W))))) -> (ndr1_0) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> False).
% 1.06/1.30 do 0 intro. intros zenon_Hf2 zenon_H12 zenon_Hf3 zenon_Hf4 zenon_Hf5.
% 1.06/1.30 generalize (zenon_Hf2 (a2536)). zenon_intro zenon_Hf6.
% 1.06/1.30 apply (zenon_imply_s _ _ zenon_Hf6); [ zenon_intro zenon_H11 | zenon_intro zenon_Hf7 ].
% 1.06/1.30 exact (zenon_H11 zenon_H12).
% 1.06/1.30 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hf8 ].
% 1.06/1.30 exact (zenon_Hf3 zenon_Hf9).
% 1.06/1.30 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hfa ].
% 1.06/1.30 exact (zenon_Hf4 zenon_Hfb).
% 1.06/1.30 exact (zenon_Hf5 zenon_Hfa).
% 1.06/1.30 (* end of lemma zenon_L71_ *)
% 1.06/1.30 assert (zenon_L72_ : ((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> (~(hskp1)) -> False).
% 1.06/1.30 do 0 intro. intros zenon_Had zenon_Hfc zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_Hd.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hfd ].
% 1.06/1.30 apply (zenon_L71_); trivial.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Ha3 | zenon_intro zenon_He ].
% 1.06/1.30 apply (zenon_L47_); trivial.
% 1.06/1.30 exact (zenon_Hd zenon_He).
% 1.06/1.30 (* end of lemma zenon_L72_ *)
% 1.06/1.30 assert (zenon_L73_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> (~(hskp6)) -> ((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/((hskp6)\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> False).
% 1.06/1.30 do 0 intro. intros zenon_Hfe zenon_Hb3 zenon_Hfc zenon_Hd zenon_Hc5 zenon_H49 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H1 zenon_Hf0 zenon_H51.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.06/1.30 apply (zenon_L70_); trivial.
% 1.06/1.30 apply (zenon_L72_); trivial.
% 1.06/1.30 (* end of lemma zenon_L73_ *)
% 1.06/1.30 assert (zenon_L74_ : ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(hskp6)) -> ((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/((hskp6)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp1)) -> ((hskp21)\/((hskp18)\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((hskp23)\/(hskp27)) -> (~(hskp10)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H101 zenon_Hfc zenon_H1 zenon_Hf0 zenon_H54 zenon_H51 zenon_H3e zenon_H4b zenon_H1f zenon_H21 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H49 zenon_Hc5 zenon_Hd zenon_Hf zenon_Hef zenon_Heb zenon_Hcb zenon_Hd6 zenon_Hd9 zenon_Hdd zenon_Hae zenon_Hb3 zenon_Hba.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.06/1.30 apply (zenon_L68_); trivial.
% 1.06/1.30 apply (zenon_L73_); trivial.
% 1.06/1.30 (* end of lemma zenon_L74_ *)
% 1.06/1.30 assert (zenon_L75_ : (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31)))))) -> (ndr1_0) -> (~(c0_1 (a2528))) -> (~(c2_1 (a2528))) -> (c3_1 (a2528)) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H102 zenon_H12 zenon_H103 zenon_H104 zenon_H105.
% 1.06/1.30 generalize (zenon_H102 (a2528)). zenon_intro zenon_H106.
% 1.06/1.30 apply (zenon_imply_s _ _ zenon_H106); [ zenon_intro zenon_H11 | zenon_intro zenon_H107 ].
% 1.06/1.30 exact (zenon_H11 zenon_H12).
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H109 | zenon_intro zenon_H108 ].
% 1.06/1.30 exact (zenon_H103 zenon_H109).
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H10b | zenon_intro zenon_H10a ].
% 1.06/1.30 exact (zenon_H104 zenon_H10b).
% 1.06/1.30 exact (zenon_H10a zenon_H105).
% 1.06/1.30 (* end of lemma zenon_L75_ *)
% 1.06/1.30 assert (zenon_L76_ : (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V)))))) -> (ndr1_0) -> (~(c1_1 (a2528))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31)))))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H10c zenon_H12 zenon_H10d zenon_H102 zenon_H103 zenon_H105.
% 1.06/1.30 generalize (zenon_H10c (a2528)). zenon_intro zenon_H10e.
% 1.06/1.30 apply (zenon_imply_s _ _ zenon_H10e); [ zenon_intro zenon_H11 | zenon_intro zenon_H10f ].
% 1.06/1.30 exact (zenon_H11 zenon_H12).
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H111 | zenon_intro zenon_H110 ].
% 1.06/1.30 exact (zenon_H10d zenon_H111).
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H104 | zenon_intro zenon_H10a ].
% 1.06/1.30 apply (zenon_L75_); trivial.
% 1.06/1.30 exact (zenon_H10a zenon_H105).
% 1.06/1.30 (* end of lemma zenon_L76_ *)
% 1.06/1.30 assert (zenon_L77_ : (~(hskp8)) -> (hskp8) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H112 zenon_H113.
% 1.06/1.30 exact (zenon_H112 zenon_H113).
% 1.06/1.30 (* end of lemma zenon_L77_ *)
% 1.06/1.30 assert (zenon_L78_ : (~(hskp7)) -> (hskp7) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H114 zenon_H115.
% 1.06/1.30 exact (zenon_H114 zenon_H115).
% 1.06/1.30 (* end of lemma zenon_L78_ *)
% 1.06/1.30 assert (zenon_L79_ : ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31)))))) -> (~(c1_1 (a2528))) -> (ndr1_0) -> (~(hskp8)) -> (~(hskp7)) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H116 zenon_H105 zenon_H103 zenon_H102 zenon_H10d zenon_H12 zenon_H112 zenon_H114.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H10c | zenon_intro zenon_H117 ].
% 1.06/1.30 apply (zenon_L76_); trivial.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H113 | zenon_intro zenon_H115 ].
% 1.06/1.30 exact (zenon_H112 zenon_H113).
% 1.06/1.30 exact (zenon_H114 zenon_H115).
% 1.06/1.30 (* end of lemma zenon_L79_ *)
% 1.06/1.30 assert (zenon_L80_ : (forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32)))))) -> (ndr1_0) -> (~(c1_1 (a2528))) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V)))))) -> (c3_1 (a2528)) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H118 zenon_H12 zenon_H10d zenon_H10c zenon_H105.
% 1.06/1.30 generalize (zenon_H118 (a2528)). zenon_intro zenon_H119.
% 1.06/1.30 apply (zenon_imply_s _ _ zenon_H119); [ zenon_intro zenon_H11 | zenon_intro zenon_H11a ].
% 1.06/1.30 exact (zenon_H11 zenon_H12).
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H111 | zenon_intro zenon_H108 ].
% 1.06/1.30 exact (zenon_H10d zenon_H111).
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H10b | zenon_intro zenon_H10a ].
% 1.06/1.30 generalize (zenon_H10c (a2528)). zenon_intro zenon_H10e.
% 1.06/1.30 apply (zenon_imply_s _ _ zenon_H10e); [ zenon_intro zenon_H11 | zenon_intro zenon_H10f ].
% 1.06/1.30 exact (zenon_H11 zenon_H12).
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H111 | zenon_intro zenon_H110 ].
% 1.06/1.30 exact (zenon_H10d zenon_H111).
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H104 | zenon_intro zenon_H10a ].
% 1.06/1.30 exact (zenon_H104 zenon_H10b).
% 1.06/1.30 exact (zenon_H10a zenon_H105).
% 1.06/1.30 exact (zenon_H10a zenon_H105).
% 1.06/1.30 (* end of lemma zenon_L80_ *)
% 1.06/1.30 assert (zenon_L81_ : (~(hskp11)) -> (hskp11) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H11b zenon_H11c.
% 1.06/1.30 exact (zenon_H11b zenon_H11c).
% 1.06/1.30 (* end of lemma zenon_L81_ *)
% 1.06/1.30 assert (zenon_L82_ : ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(c0_1 (a2528))) -> (~(hskp7)) -> (~(hskp8)) -> (ndr1_0) -> (~(c1_1 (a2528))) -> (c3_1 (a2528)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> (~(hskp11)) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H11d zenon_H103 zenon_H114 zenon_H112 zenon_H12 zenon_H10d zenon_H105 zenon_H116 zenon_H11b.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H102 | zenon_intro zenon_H11e ].
% 1.06/1.30 apply (zenon_L79_); trivial.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H118 | zenon_intro zenon_H11c ].
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H10c | zenon_intro zenon_H117 ].
% 1.06/1.30 apply (zenon_L80_); trivial.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H113 | zenon_intro zenon_H115 ].
% 1.06/1.30 exact (zenon_H112 zenon_H113).
% 1.06/1.30 exact (zenon_H114 zenon_H115).
% 1.06/1.30 exact (zenon_H11b zenon_H11c).
% 1.06/1.30 (* end of lemma zenon_L82_ *)
% 1.06/1.30 assert (zenon_L83_ : (forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79)))))) -> (ndr1_0) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H11f zenon_H12 zenon_H120 zenon_H121 zenon_H122.
% 1.06/1.30 generalize (zenon_H11f (a2531)). zenon_intro zenon_H123.
% 1.06/1.30 apply (zenon_imply_s _ _ zenon_H123); [ zenon_intro zenon_H11 | zenon_intro zenon_H124 ].
% 1.06/1.30 exact (zenon_H11 zenon_H12).
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H126 | zenon_intro zenon_H125 ].
% 1.06/1.30 exact (zenon_H120 zenon_H126).
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H128 | zenon_intro zenon_H127 ].
% 1.06/1.30 exact (zenon_H128 zenon_H121).
% 1.06/1.30 exact (zenon_H127 zenon_H122).
% 1.06/1.30 (* end of lemma zenon_L83_ *)
% 1.06/1.30 assert (zenon_L84_ : ((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (~(hskp4)) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H71 zenon_H129 zenon_H122 zenon_H121 zenon_H120 zenon_H5f.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H23 | zenon_intro zenon_H12a ].
% 1.06/1.30 apply (zenon_L14_); trivial.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H11f | zenon_intro zenon_H60 ].
% 1.06/1.30 apply (zenon_L83_); trivial.
% 1.06/1.30 exact (zenon_H5f zenon_H60).
% 1.06/1.30 (* end of lemma zenon_L84_ *)
% 1.06/1.30 assert (zenon_L85_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (~(hskp6)) -> (~(hskp16)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H74 zenon_H129 zenon_H5f zenon_H122 zenon_H121 zenon_H120 zenon_H1 zenon_H5 zenon_H7.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.06/1.30 apply (zenon_L4_); trivial.
% 1.06/1.30 apply (zenon_L84_); trivial.
% 1.06/1.30 (* end of lemma zenon_L85_ *)
% 1.06/1.30 assert (zenon_L86_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp9)\/(hskp4))) -> (~(hskp9)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> (~(hskp6)) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.06/1.30 do 0 intro. intros zenon_Hb9 zenon_H6f zenon_H1f zenon_H7 zenon_H1 zenon_H120 zenon_H121 zenon_H122 zenon_H5f zenon_H129 zenon_H74.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.06/1.30 apply (zenon_L85_); trivial.
% 1.06/1.30 apply (zenon_L50_); trivial.
% 1.06/1.30 (* end of lemma zenon_L86_ *)
% 1.06/1.30 assert (zenon_L87_ : ((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp9)\/(hskp4))) -> (~(hskp9)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> (~(hskp6)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H12b zenon_Hb9 zenon_H6f zenon_H1f zenon_H7 zenon_H1 zenon_H5f zenon_H129 zenon_H74.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.06/1.30 apply (zenon_L86_); trivial.
% 1.06/1.30 (* end of lemma zenon_L87_ *)
% 1.06/1.30 assert (zenon_L88_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp9)\/(hskp4))) -> (~(hskp9)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> (~(hskp6)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> (~(hskp7)) -> (~(hskp8)) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (ndr1_0) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H12e zenon_Hb9 zenon_H6f zenon_H1f zenon_H7 zenon_H1 zenon_H5f zenon_H129 zenon_H74 zenon_H116 zenon_H114 zenon_H112 zenon_H105 zenon_H103 zenon_H10d zenon_H12 zenon_H11d.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.06/1.30 apply (zenon_L82_); trivial.
% 1.06/1.30 apply (zenon_L87_); trivial.
% 1.06/1.30 (* end of lemma zenon_L88_ *)
% 1.06/1.30 assert (zenon_L89_ : ((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> (c0_1 (a2564)) -> (~(c2_1 (a2564))) -> (~(c1_1 (a2564))) -> (~(hskp7)) -> False).
% 1.06/1.30 do 0 intro. intros zenon_Hd8 zenon_H12f zenon_H84 zenon_H83 zenon_H82 zenon_H114.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H12. zenon_intro zenon_Hda.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_Hcf. zenon_intro zenon_Hdb.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hcd. zenon_intro zenon_Hce.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H81 | zenon_intro zenon_H130 ].
% 1.06/1.30 apply (zenon_L39_); trivial.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_Hcc | zenon_intro zenon_H115 ].
% 1.06/1.30 apply (zenon_L59_); trivial.
% 1.06/1.30 exact (zenon_H114 zenon_H115).
% 1.06/1.30 (* end of lemma zenon_L89_ *)
% 1.06/1.30 assert (zenon_L90_ : ((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp23)) -> ((hskp23)\/(hskp27)) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H8d zenon_Hdd zenon_H12f zenon_H114 zenon_Hc7 zenon_Hcb.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H12. zenon_intro zenon_H8f.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H84. zenon_intro zenon_H90.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H82. zenon_intro zenon_H83.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hd8 ].
% 1.06/1.30 apply (zenon_L58_); trivial.
% 1.06/1.30 apply (zenon_L89_); trivial.
% 1.06/1.30 (* end of lemma zenon_L90_ *)
% 1.06/1.30 assert (zenon_L91_ : ((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp23)) -> ((hskp23)\/(hskp27)) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H9f zenon_H92 zenon_Hdd zenon_H12f zenon_H114 zenon_Hc7 zenon_Hcb zenon_H49 zenon_H9d.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.06/1.30 apply (zenon_L44_); trivial.
% 1.06/1.30 apply (zenon_L90_); trivial.
% 1.06/1.30 (* end of lemma zenon_L91_ *)
% 1.06/1.30 assert (zenon_L92_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (c1_1 (a2551)) -> (c0_1 (a2551)) -> (~(c2_1 (a2551))) -> (ndr1_0) -> ((hskp23)\/(hskp27)) -> (~(hskp23)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> False).
% 1.06/1.30 do 0 intro. intros zenon_Ha2 zenon_H49 zenon_H9d zenon_H7f zenon_H16 zenon_H15 zenon_H14 zenon_H12 zenon_Hcb zenon_Hc7 zenon_H114 zenon_H12f zenon_Hdd zenon_H92.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.06/1.30 apply (zenon_L38_); trivial.
% 1.06/1.30 apply (zenon_L90_); trivial.
% 1.06/1.30 apply (zenon_L91_); trivial.
% 1.06/1.30 (* end of lemma zenon_L92_ *)
% 1.06/1.30 assert (zenon_L93_ : (forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52)))))) -> (ndr1_0) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H131 zenon_H12 zenon_H132 zenon_H133 zenon_H134.
% 1.06/1.30 generalize (zenon_H131 (a2526)). zenon_intro zenon_H135.
% 1.06/1.30 apply (zenon_imply_s _ _ zenon_H135); [ zenon_intro zenon_H11 | zenon_intro zenon_H136 ].
% 1.06/1.30 exact (zenon_H11 zenon_H12).
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H138 | zenon_intro zenon_H137 ].
% 1.06/1.30 exact (zenon_H132 zenon_H138).
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H13a | zenon_intro zenon_H139 ].
% 1.06/1.30 exact (zenon_H13a zenon_H133).
% 1.06/1.30 exact (zenon_H139 zenon_H134).
% 1.06/1.30 (* end of lemma zenon_L93_ *)
% 1.06/1.30 assert (zenon_L94_ : (forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74)))))) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))) -> (~(c1_1 (a2553))) -> (c0_1 (a2553)) -> (~(c3_1 (a2553))) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H65 zenon_H12 zenon_H93 zenon_Hdf zenon_He1 zenon_He0.
% 1.06/1.30 generalize (zenon_H65 (a2553)). zenon_intro zenon_H13b.
% 1.06/1.30 apply (zenon_imply_s _ _ zenon_H13b); [ zenon_intro zenon_H11 | zenon_intro zenon_H13c ].
% 1.06/1.30 exact (zenon_H11 zenon_H12).
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H13d | zenon_intro zenon_He4 ].
% 1.06/1.30 generalize (zenon_H93 (a2553)). zenon_intro zenon_H13e.
% 1.06/1.30 apply (zenon_imply_s _ _ zenon_H13e); [ zenon_intro zenon_H11 | zenon_intro zenon_H13f ].
% 1.06/1.30 exact (zenon_H11 zenon_H12).
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_He5 | zenon_intro zenon_H140 ].
% 1.06/1.30 exact (zenon_Hdf zenon_He5).
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_He6 | zenon_intro zenon_H141 ].
% 1.06/1.30 exact (zenon_He6 zenon_He1).
% 1.06/1.30 exact (zenon_H141 zenon_H13d).
% 1.06/1.30 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 1.06/1.30 exact (zenon_He0 zenon_He7).
% 1.06/1.30 exact (zenon_He6 zenon_He1).
% 1.06/1.30 (* end of lemma zenon_L94_ *)
% 1.06/1.30 assert (zenon_L95_ : ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> (~(c3_1 (a2553))) -> (c0_1 (a2553)) -> (~(c1_1 (a2553))) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))) -> (ndr1_0) -> (~(hskp2)) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H142 zenon_He0 zenon_He1 zenon_Hdf zenon_H93 zenon_H12 zenon_H75.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hde | zenon_intro zenon_H143 ].
% 1.06/1.30 apply (zenon_L63_); trivial.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H65 | zenon_intro zenon_H76 ].
% 1.06/1.30 apply (zenon_L94_); trivial.
% 1.06/1.30 exact (zenon_H75 zenon_H76).
% 1.06/1.30 (* end of lemma zenon_L95_ *)
% 1.06/1.30 assert (zenon_L96_ : ((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (~(hskp2)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> (~(hskp16)) -> False).
% 1.06/1.30 do 0 intro. intros zenon_Hea zenon_H144 zenon_H134 zenon_H133 zenon_H132 zenon_H75 zenon_H142 zenon_H5.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H131 | zenon_intro zenon_H145 ].
% 1.06/1.30 apply (zenon_L93_); trivial.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H93 | zenon_intro zenon_H6 ].
% 1.06/1.30 apply (zenon_L95_); trivial.
% 1.06/1.30 exact (zenon_H5 zenon_H6).
% 1.06/1.30 (* end of lemma zenon_L96_ *)
% 1.06/1.30 assert (zenon_L97_ : ((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> (~(hskp4)) -> (~(hskp15)) -> False).
% 1.06/1.30 do 0 intro. intros zenon_Hb2 zenon_H63 zenon_H5f zenon_H61.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.06/1.30 apply (zenon_L28_); trivial.
% 1.06/1.30 (* end of lemma zenon_L97_ *)
% 1.06/1.30 assert (zenon_L98_ : (~(hskp17)) -> (hskp17) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H146 zenon_H147.
% 1.06/1.30 exact (zenon_H146 zenon_H147).
% 1.06/1.30 (* end of lemma zenon_L98_ *)
% 1.06/1.30 assert (zenon_L99_ : ((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (~(hskp17)) -> False).
% 1.06/1.30 do 0 intro. intros zenon_Hd8 zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_H146.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H12. zenon_intro zenon_Hda.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_Hcf. zenon_intro zenon_Hdb.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hcd. zenon_intro zenon_Hce.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H131 | zenon_intro zenon_H149 ].
% 1.06/1.30 apply (zenon_L93_); trivial.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hcc | zenon_intro zenon_H147 ].
% 1.06/1.30 apply (zenon_L59_); trivial.
% 1.06/1.30 exact (zenon_H146 zenon_H147).
% 1.06/1.30 (* end of lemma zenon_L99_ *)
% 1.06/1.30 assert (zenon_L100_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (~(hskp23)) -> ((hskp23)\/(hskp27)) -> False).
% 1.06/1.30 do 0 intro. intros zenon_Hdd zenon_H148 zenon_H146 zenon_H134 zenon_H133 zenon_H132 zenon_Hc7 zenon_Hcb.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hd8 ].
% 1.06/1.30 apply (zenon_L58_); trivial.
% 1.06/1.30 apply (zenon_L99_); trivial.
% 1.06/1.30 (* end of lemma zenon_L100_ *)
% 1.06/1.30 assert (zenon_L101_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> (~(hskp2)) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> False).
% 1.06/1.30 do 0 intro. intros zenon_Hef zenon_H142 zenon_H75 zenon_H68 zenon_H67 zenon_H66 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H146 zenon_H148 zenon_Hdd.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.06/1.30 apply (zenon_L100_); trivial.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.06/1.30 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hde | zenon_intro zenon_H143 ].
% 1.06/1.30 apply (zenon_L63_); trivial.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H65 | zenon_intro zenon_H76 ].
% 1.06/1.30 apply (zenon_L29_); trivial.
% 1.06/1.30 exact (zenon_H75 zenon_H76).
% 1.06/1.30 (* end of lemma zenon_L101_ *)
% 1.06/1.30 assert (zenon_L102_ : (forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))) -> (ndr1_0) -> (c0_1 (a2551)) -> (c1_1 (a2551)) -> (c3_1 (a2551)) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H14a zenon_H12 zenon_H15 zenon_H16 zenon_H14b.
% 1.06/1.30 generalize (zenon_H14a (a2551)). zenon_intro zenon_H14c.
% 1.06/1.30 apply (zenon_imply_s _ _ zenon_H14c); [ zenon_intro zenon_H11 | zenon_intro zenon_H14d ].
% 1.06/1.30 exact (zenon_H11 zenon_H12).
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H1c | zenon_intro zenon_H14e ].
% 1.06/1.30 exact (zenon_H1c zenon_H15).
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H1b | zenon_intro zenon_H14f ].
% 1.06/1.30 exact (zenon_H1b zenon_H16).
% 1.06/1.30 exact (zenon_H14f zenon_H14b).
% 1.06/1.30 (* end of lemma zenon_L102_ *)
% 1.06/1.30 assert (zenon_L103_ : (~(hskp29)) -> (hskp29) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H150 zenon_H151.
% 1.06/1.30 exact (zenon_H150 zenon_H151).
% 1.06/1.30 (* end of lemma zenon_L103_ *)
% 1.06/1.30 assert (zenon_L104_ : ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (c1_1 (a2551)) -> (c0_1 (a2551)) -> (forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp10)) -> False).
% 1.06/1.30 do 0 intro. intros zenon_H152 zenon_H16 zenon_H15 zenon_H14a zenon_H12 zenon_H150 zenon_Hd6.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H154 | zenon_intro zenon_H153 ].
% 1.06/1.30 generalize (zenon_H154 (a2551)). zenon_intro zenon_H155.
% 1.06/1.30 apply (zenon_imply_s _ _ zenon_H155); [ zenon_intro zenon_H11 | zenon_intro zenon_H156 ].
% 1.06/1.30 exact (zenon_H11 zenon_H12).
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H14b | zenon_intro zenon_H19 ].
% 1.06/1.30 apply (zenon_L102_); trivial.
% 1.06/1.30 apply (zenon_or_s _ _ zenon_H19); [ zenon_intro zenon_H1c | zenon_intro zenon_H1b ].
% 1.06/1.31 exact (zenon_H1c zenon_H15).
% 1.06/1.31 exact (zenon_H1b zenon_H16).
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_H151 | zenon_intro zenon_Hd7 ].
% 1.06/1.31 exact (zenon_H150 zenon_H151).
% 1.06/1.31 exact (zenon_Hd6 zenon_Hd7).
% 1.06/1.31 (* end of lemma zenon_L104_ *)
% 1.06/1.31 assert (zenon_L105_ : ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (~(hskp29)) -> (ndr1_0) -> (c0_1 (a2551)) -> (c1_1 (a2551)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H157 zenon_H68 zenon_H67 zenon_H66 zenon_H150 zenon_H12 zenon_H15 zenon_H16 zenon_H152 zenon_Hd6.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H65 | zenon_intro zenon_H158 ].
% 1.06/1.31 apply (zenon_L29_); trivial.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H14a | zenon_intro zenon_Hd7 ].
% 1.06/1.31 apply (zenon_L104_); trivial.
% 1.06/1.31 exact (zenon_Hd6 zenon_Hd7).
% 1.06/1.31 (* end of lemma zenon_L105_ *)
% 1.06/1.31 assert (zenon_L106_ : (forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))) -> (ndr1_0) -> (c1_1 (a2556)) -> (c2_1 (a2556)) -> (c3_1 (a2556)) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H159 zenon_H12 zenon_H15a zenon_H15b zenon_H15c.
% 1.06/1.31 generalize (zenon_H159 (a2556)). zenon_intro zenon_H15d.
% 1.06/1.31 apply (zenon_imply_s _ _ zenon_H15d); [ zenon_intro zenon_H11 | zenon_intro zenon_H15e ].
% 1.06/1.31 exact (zenon_H11 zenon_H12).
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H160 | zenon_intro zenon_H15f ].
% 1.06/1.31 exact (zenon_H160 zenon_H15a).
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H162 | zenon_intro zenon_H161 ].
% 1.06/1.31 exact (zenon_H162 zenon_H15b).
% 1.06/1.31 exact (zenon_H161 zenon_H15c).
% 1.06/1.31 (* end of lemma zenon_L106_ *)
% 1.06/1.31 assert (zenon_L107_ : ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (c3_1 (a2556)) -> (c2_1 (a2556)) -> (c1_1 (a2556)) -> (ndr1_0) -> (~(hskp31)) -> (~(hskp23)) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H163 zenon_H15c zenon_H15b zenon_H15a zenon_H12 zenon_H164 zenon_Hc7.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H159 | zenon_intro zenon_H165 ].
% 1.06/1.31 apply (zenon_L106_); trivial.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H166 | zenon_intro zenon_Hc8 ].
% 1.06/1.31 exact (zenon_H164 zenon_H166).
% 1.06/1.31 exact (zenon_Hc7 zenon_Hc8).
% 1.06/1.31 (* end of lemma zenon_L107_ *)
% 1.06/1.31 assert (zenon_L108_ : (forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))) -> (ndr1_0) -> (c0_1 (a2597)) -> (c1_1 (a2597)) -> (c3_1 (a2597)) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H14a zenon_H12 zenon_H167 zenon_H168 zenon_H169.
% 1.06/1.31 generalize (zenon_H14a (a2597)). zenon_intro zenon_H16a.
% 1.06/1.31 apply (zenon_imply_s _ _ zenon_H16a); [ zenon_intro zenon_H11 | zenon_intro zenon_H16b ].
% 1.06/1.31 exact (zenon_H11 zenon_H12).
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H16d | zenon_intro zenon_H16c ].
% 1.06/1.31 exact (zenon_H16d zenon_H167).
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H16f | zenon_intro zenon_H16e ].
% 1.06/1.31 exact (zenon_H16f zenon_H168).
% 1.06/1.31 exact (zenon_H16e zenon_H169).
% 1.06/1.31 (* end of lemma zenon_L108_ *)
% 1.06/1.31 assert (zenon_L109_ : ((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (~(hskp10)) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H170 zenon_H157 zenon_H68 zenon_H67 zenon_H66 zenon_Hd6.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H167. zenon_intro zenon_H172.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H168. zenon_intro zenon_H169.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H65 | zenon_intro zenon_H158 ].
% 1.06/1.31 apply (zenon_L29_); trivial.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H14a | zenon_intro zenon_Hd7 ].
% 1.06/1.31 apply (zenon_L108_); trivial.
% 1.06/1.31 exact (zenon_Hd6 zenon_Hd7).
% 1.06/1.31 (* end of lemma zenon_L109_ *)
% 1.06/1.31 assert (zenon_L110_ : ((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H173 zenon_H174 zenon_H157 zenon_Hd6 zenon_H68 zenon_H67 zenon_H66 zenon_Hc7 zenon_H163.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H164 | zenon_intro zenon_H170 ].
% 1.06/1.31 apply (zenon_L107_); trivial.
% 1.06/1.31 apply (zenon_L109_); trivial.
% 1.06/1.31 (* end of lemma zenon_L110_ *)
% 1.06/1.31 assert (zenon_L111_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (ndr1_0) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a2551)) -> (c0_1 (a2551)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H177 zenon_H174 zenon_Hc7 zenon_H163 zenon_H12 zenon_H66 zenon_H67 zenon_H68 zenon_H152 zenon_Hd6 zenon_H16 zenon_H15 zenon_H157.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.06/1.31 apply (zenon_L105_); trivial.
% 1.06/1.31 apply (zenon_L110_); trivial.
% 1.06/1.31 (* end of lemma zenon_L111_ *)
% 1.06/1.31 assert (zenon_L112_ : (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5)))))) -> (ndr1_0) -> (~(c0_1 (a2556))) -> (c1_1 (a2556)) -> (c2_1 (a2556)) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H55 zenon_H12 zenon_H178 zenon_H15a zenon_H15b.
% 1.06/1.31 generalize (zenon_H55 (a2556)). zenon_intro zenon_H179.
% 1.06/1.31 apply (zenon_imply_s _ _ zenon_H179); [ zenon_intro zenon_H11 | zenon_intro zenon_H17a ].
% 1.06/1.31 exact (zenon_H11 zenon_H12).
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H17c | zenon_intro zenon_H17b ].
% 1.06/1.31 exact (zenon_H178 zenon_H17c).
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H160 | zenon_intro zenon_H162 ].
% 1.06/1.31 exact (zenon_H160 zenon_H15a).
% 1.06/1.31 exact (zenon_H162 zenon_H15b).
% 1.06/1.31 (* end of lemma zenon_L112_ *)
% 1.06/1.31 assert (zenon_L113_ : (forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))) -> (ndr1_0) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5)))))) -> (c1_1 (a2556)) -> (c2_1 (a2556)) -> (c3_1 (a2556)) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H14a zenon_H12 zenon_H55 zenon_H15a zenon_H15b zenon_H15c.
% 1.06/1.31 generalize (zenon_H14a (a2556)). zenon_intro zenon_H17d.
% 1.06/1.31 apply (zenon_imply_s _ _ zenon_H17d); [ zenon_intro zenon_H11 | zenon_intro zenon_H17e ].
% 1.06/1.31 exact (zenon_H11 zenon_H12).
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H178 | zenon_intro zenon_H17f ].
% 1.06/1.31 apply (zenon_L112_); trivial.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H160 | zenon_intro zenon_H161 ].
% 1.06/1.31 exact (zenon_H160 zenon_H15a).
% 1.06/1.31 exact (zenon_H161 zenon_H15c).
% 1.06/1.31 (* end of lemma zenon_L113_ *)
% 1.06/1.31 assert (zenon_L114_ : ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (c3_1 (a2556)) -> (c2_1 (a2556)) -> (c1_1 (a2556)) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5)))))) -> (ndr1_0) -> (~(hskp10)) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H157 zenon_H68 zenon_H67 zenon_H66 zenon_H15c zenon_H15b zenon_H15a zenon_H55 zenon_H12 zenon_Hd6.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H65 | zenon_intro zenon_H158 ].
% 1.06/1.31 apply (zenon_L29_); trivial.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H14a | zenon_intro zenon_Hd7 ].
% 1.06/1.31 apply (zenon_L113_); trivial.
% 1.06/1.31 exact (zenon_Hd6 zenon_Hd7).
% 1.06/1.31 (* end of lemma zenon_L114_ *)
% 1.06/1.31 assert (zenon_L115_ : (forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32)))))) -> (ndr1_0) -> (~(c1_1 (a2541))) -> (~(c2_1 (a2541))) -> (c3_1 (a2541)) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H118 zenon_H12 zenon_H180 zenon_H181 zenon_H182.
% 1.06/1.31 generalize (zenon_H118 (a2541)). zenon_intro zenon_H183.
% 1.06/1.31 apply (zenon_imply_s _ _ zenon_H183); [ zenon_intro zenon_H11 | zenon_intro zenon_H184 ].
% 1.06/1.31 exact (zenon_H11 zenon_H12).
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H186 | zenon_intro zenon_H185 ].
% 1.06/1.31 exact (zenon_H180 zenon_H186).
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H188 | zenon_intro zenon_H187 ].
% 1.06/1.31 exact (zenon_H181 zenon_H188).
% 1.06/1.31 exact (zenon_H187 zenon_H182).
% 1.06/1.31 (* end of lemma zenon_L115_ *)
% 1.06/1.31 assert (zenon_L116_ : ((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp10)) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> (~(c1_1 (a2553))) -> (~(c3_1 (a2553))) -> (c0_1 (a2553)) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H173 zenon_H189 zenon_Hd6 zenon_H66 zenon_H67 zenon_H68 zenon_H157 zenon_H182 zenon_H181 zenon_H180 zenon_Hdf zenon_He0 zenon_He1.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H55 | zenon_intro zenon_H18a ].
% 1.06/1.31 apply (zenon_L114_); trivial.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H118 | zenon_intro zenon_Hde ].
% 1.06/1.31 apply (zenon_L115_); trivial.
% 1.06/1.31 apply (zenon_L63_); trivial.
% 1.06/1.31 (* end of lemma zenon_L116_ *)
% 1.06/1.31 assert (zenon_L117_ : ((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a2551)) -> (c0_1 (a2551)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_Hea zenon_H177 zenon_H189 zenon_H182 zenon_H181 zenon_H180 zenon_H66 zenon_H67 zenon_H68 zenon_H152 zenon_Hd6 zenon_H16 zenon_H15 zenon_H157.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.06/1.31 apply (zenon_L105_); trivial.
% 1.06/1.31 apply (zenon_L116_); trivial.
% 1.06/1.31 (* end of lemma zenon_L117_ *)
% 1.06/1.31 assert (zenon_L118_ : ((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H50 zenon_Hef zenon_H189 zenon_H182 zenon_H181 zenon_H180 zenon_H157 zenon_Hd6 zenon_H152 zenon_H68 zenon_H67 zenon_H66 zenon_H163 zenon_H174 zenon_H177.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.06/1.31 apply (zenon_L111_); trivial.
% 1.06/1.31 apply (zenon_L117_); trivial.
% 1.06/1.31 (* end of lemma zenon_L118_ *)
% 1.06/1.31 assert (zenon_L119_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> (~(hskp18)) -> (~(hskp1)) -> ((hskp21)\/((hskp18)\/(hskp1))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H54 zenon_Hef zenon_H189 zenon_H182 zenon_H181 zenon_H180 zenon_H157 zenon_Hd6 zenon_H152 zenon_H68 zenon_H67 zenon_H66 zenon_H163 zenon_H174 zenon_H177 zenon_Hb zenon_Hd zenon_Hf.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.06/1.31 apply (zenon_L8_); trivial.
% 1.06/1.31 apply (zenon_L118_); trivial.
% 1.06/1.31 (* end of lemma zenon_L119_ *)
% 1.06/1.31 assert (zenon_L120_ : ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (ndr1_0) -> (~(hskp24)) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H18b zenon_H182 zenon_H181 zenon_H180 zenon_H68 zenon_H67 zenon_H66 zenon_H12 zenon_H7b.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H118 | zenon_intro zenon_H18c ].
% 1.06/1.31 apply (zenon_L115_); trivial.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H65 | zenon_intro zenon_H7c ].
% 1.06/1.31 apply (zenon_L29_); trivial.
% 1.06/1.31 exact (zenon_H7b zenon_H7c).
% 1.06/1.31 (* end of lemma zenon_L120_ *)
% 1.06/1.31 assert (zenon_L121_ : ((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(c1_1 (a2541))) -> (~(c2_1 (a2541))) -> (c3_1 (a2541)) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_Hb2 zenon_Ha2 zenon_H92 zenon_H8e zenon_H8b zenon_H49 zenon_H9d zenon_H180 zenon_H181 zenon_H182 zenon_H66 zenon_H67 zenon_H68 zenon_H18b.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.06/1.31 apply (zenon_L120_); trivial.
% 1.06/1.31 apply (zenon_L45_); trivial.
% 1.06/1.31 (* end of lemma zenon_L121_ *)
% 1.06/1.31 assert (zenon_L122_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((hskp21)\/((hskp18)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H18d zenon_Hba zenon_Ha2 zenon_H92 zenon_H8e zenon_H8b zenon_H49 zenon_H9d zenon_H18b zenon_Hf zenon_Hd zenon_H177 zenon_H174 zenon_H163 zenon_H66 zenon_H67 zenon_H68 zenon_H152 zenon_Hd6 zenon_H157 zenon_H189 zenon_Hef zenon_H54.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.06/1.31 apply (zenon_L119_); trivial.
% 1.06/1.31 apply (zenon_L121_); trivial.
% 1.06/1.31 (* end of lemma zenon_L122_ *)
% 1.06/1.31 assert (zenon_L123_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((hskp21)\/((hskp18)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> (~(hskp2)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_Hba zenon_Ha2 zenon_H92 zenon_H8e zenon_H8b zenon_H49 zenon_H9d zenon_H18b zenon_Hf zenon_Hd zenon_H177 zenon_H174 zenon_H163 zenon_H152 zenon_Hd6 zenon_H157 zenon_H189 zenon_H54 zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H75 zenon_H142 zenon_Hef.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.06/1.31 apply (zenon_L101_); trivial.
% 1.06/1.31 apply (zenon_L122_); trivial.
% 1.06/1.31 (* end of lemma zenon_L123_ *)
% 1.06/1.31 assert (zenon_L124_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp16)) -> (~(hskp2)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_Hef zenon_H144 zenon_H5 zenon_H75 zenon_H142 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H146 zenon_H148 zenon_Hdd.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.06/1.31 apply (zenon_L100_); trivial.
% 1.06/1.31 apply (zenon_L96_); trivial.
% 1.06/1.31 (* end of lemma zenon_L124_ *)
% 1.06/1.31 assert (zenon_L125_ : (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31)))))) -> (ndr1_0) -> (~(c0_1 (a2539))) -> (~(c2_1 (a2539))) -> (c3_1 (a2539)) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H102 zenon_H12 zenon_H191 zenon_H192 zenon_H193.
% 1.06/1.31 generalize (zenon_H102 (a2539)). zenon_intro zenon_H194.
% 1.06/1.31 apply (zenon_imply_s _ _ zenon_H194); [ zenon_intro zenon_H11 | zenon_intro zenon_H195 ].
% 1.06/1.31 exact (zenon_H11 zenon_H12).
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H197 | zenon_intro zenon_H196 ].
% 1.06/1.31 exact (zenon_H191 zenon_H197).
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H199 | zenon_intro zenon_H198 ].
% 1.06/1.31 exact (zenon_H192 zenon_H199).
% 1.06/1.31 exact (zenon_H198 zenon_H193).
% 1.06/1.31 (* end of lemma zenon_L125_ *)
% 1.06/1.31 assert (zenon_L126_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (c3_1 (a2539)) -> (~(c2_1 (a2539))) -> (~(c0_1 (a2539))) -> (~(hskp11)) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H18d zenon_H11d zenon_H193 zenon_H192 zenon_H191 zenon_H11b.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H102 | zenon_intro zenon_H11e ].
% 1.06/1.31 apply (zenon_L125_); trivial.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H118 | zenon_intro zenon_H11c ].
% 1.06/1.31 apply (zenon_L115_); trivial.
% 1.06/1.31 exact (zenon_H11b zenon_H11c).
% 1.06/1.31 (* end of lemma zenon_L126_ *)
% 1.06/1.31 assert (zenon_L127_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a2539)) -> (~(c2_1 (a2539))) -> (~(c0_1 (a2539))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp16)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H190 zenon_H11d zenon_H11b zenon_H193 zenon_H192 zenon_H191 zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H142 zenon_H75 zenon_H5 zenon_H144 zenon_Hef.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.06/1.31 apply (zenon_L124_); trivial.
% 1.06/1.31 apply (zenon_L126_); trivial.
% 1.06/1.31 (* end of lemma zenon_L127_ *)
% 1.06/1.31 assert (zenon_L128_ : ((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((hskp21)\/((hskp18)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp2)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H19a zenon_Hb9 zenon_Hba zenon_Ha2 zenon_H92 zenon_H8e zenon_H8b zenon_H49 zenon_H9d zenon_H18b zenon_Hf zenon_Hd zenon_H177 zenon_H174 zenon_H163 zenon_H152 zenon_Hd6 zenon_H157 zenon_H189 zenon_H54 zenon_Hef zenon_H144 zenon_H75 zenon_H142 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_Hdd zenon_H11b zenon_H11d zenon_H190.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.06/1.31 apply (zenon_L127_); trivial.
% 1.06/1.31 apply (zenon_L123_); trivial.
% 1.06/1.31 (* end of lemma zenon_L128_ *)
% 1.06/1.31 assert (zenon_L129_ : (forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25)))))) -> (ndr1_0) -> (~(c2_1 (a2551))) -> (forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))) -> (c0_1 (a2551)) -> (c1_1 (a2551)) -> False).
% 1.06/1.31 do 0 intro. intros zenon_Hcc zenon_H12 zenon_H14 zenon_H14a zenon_H15 zenon_H16.
% 1.06/1.31 generalize (zenon_Hcc (a2551)). zenon_intro zenon_H19d.
% 1.06/1.31 apply (zenon_imply_s _ _ zenon_H19d); [ zenon_intro zenon_H11 | zenon_intro zenon_H19e ].
% 1.06/1.31 exact (zenon_H11 zenon_H12).
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H1a | zenon_intro zenon_H19f ].
% 1.06/1.31 exact (zenon_H14 zenon_H1a).
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H14b | zenon_intro zenon_H1b ].
% 1.06/1.31 apply (zenon_L102_); trivial.
% 1.06/1.31 exact (zenon_H1b zenon_H16).
% 1.06/1.31 (* end of lemma zenon_L129_ *)
% 1.06/1.31 assert (zenon_L130_ : ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(c3_1 (a2553))) -> (c0_1 (a2553)) -> (~(c1_1 (a2553))) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))) -> (c1_1 (a2551)) -> (c0_1 (a2551)) -> (~(c2_1 (a2551))) -> (ndr1_0) -> (forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25)))))) -> (~(hskp10)) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H157 zenon_He0 zenon_He1 zenon_Hdf zenon_H93 zenon_H16 zenon_H15 zenon_H14 zenon_H12 zenon_Hcc zenon_Hd6.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H65 | zenon_intro zenon_H158 ].
% 1.06/1.31 apply (zenon_L94_); trivial.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H14a | zenon_intro zenon_Hd7 ].
% 1.06/1.31 apply (zenon_L129_); trivial.
% 1.06/1.31 exact (zenon_Hd6 zenon_Hd7).
% 1.06/1.31 (* end of lemma zenon_L130_ *)
% 1.06/1.31 assert (zenon_L131_ : ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (~(hskp10)) -> (forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25)))))) -> (ndr1_0) -> (~(c2_1 (a2551))) -> (c0_1 (a2551)) -> (c1_1 (a2551)) -> (~(c1_1 (a2553))) -> (c0_1 (a2553)) -> (~(c3_1 (a2553))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp16)) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H144 zenon_H134 zenon_H133 zenon_H132 zenon_Hd6 zenon_Hcc zenon_H12 zenon_H14 zenon_H15 zenon_H16 zenon_Hdf zenon_He1 zenon_He0 zenon_H157 zenon_H5.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H131 | zenon_intro zenon_H145 ].
% 1.06/1.31 apply (zenon_L93_); trivial.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H93 | zenon_intro zenon_H6 ].
% 1.06/1.31 apply (zenon_L130_); trivial.
% 1.06/1.31 exact (zenon_H5 zenon_H6).
% 1.06/1.31 (* end of lemma zenon_L131_ *)
% 1.06/1.31 assert (zenon_L132_ : ((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp16)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp23)\/(hskp27)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H50 zenon_Hef zenon_Hd9 zenon_H132 zenon_H133 zenon_H134 zenon_H157 zenon_Hd6 zenon_H5 zenon_H144 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H92 zenon_Hdd zenon_H12f zenon_H114 zenon_Hcb zenon_H7f zenon_H9d zenon_H49 zenon_Ha2.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.06/1.31 apply (zenon_L92_); trivial.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hdc ].
% 1.06/1.31 apply (zenon_L52_); trivial.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hd7 ].
% 1.06/1.31 apply (zenon_L131_); trivial.
% 1.06/1.31 exact (zenon_Hd6 zenon_Hd7).
% 1.06/1.31 (* end of lemma zenon_L132_ *)
% 1.06/1.31 assert (zenon_L133_ : ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (c1_1 (a2551)) -> (c0_1 (a2551)) -> (~(c2_1 (a2551))) -> (ndr1_0) -> (forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25)))))) -> (~(hskp10)) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H157 zenon_H68 zenon_H67 zenon_H66 zenon_H16 zenon_H15 zenon_H14 zenon_H12 zenon_Hcc zenon_Hd6.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H65 | zenon_intro zenon_H158 ].
% 1.06/1.31 apply (zenon_L29_); trivial.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H14a | zenon_intro zenon_Hd7 ].
% 1.06/1.31 apply (zenon_L129_); trivial.
% 1.06/1.31 exact (zenon_Hd6 zenon_Hd7).
% 1.06/1.31 (* end of lemma zenon_L133_ *)
% 1.06/1.31 assert (zenon_L134_ : ((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H50 zenon_Hd9 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H66 zenon_H67 zenon_H68 zenon_H157 zenon_Hd6.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hdc ].
% 1.06/1.31 apply (zenon_L52_); trivial.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hd7 ].
% 1.06/1.31 apply (zenon_L133_); trivial.
% 1.06/1.31 exact (zenon_Hd6 zenon_Hd7).
% 1.06/1.31 (* end of lemma zenon_L134_ *)
% 1.06/1.31 assert (zenon_L135_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> (~(hskp18)) -> (~(hskp1)) -> ((hskp21)\/((hskp18)\/(hskp1))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H54 zenon_Hd9 zenon_H66 zenon_H67 zenon_H68 zenon_Hd6 zenon_H157 zenon_Hbe zenon_Hbd zenon_Hbc zenon_Hb zenon_Hd zenon_Hf.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.06/1.31 apply (zenon_L8_); trivial.
% 1.06/1.31 apply (zenon_L134_); trivial.
% 1.06/1.31 (* end of lemma zenon_L135_ *)
% 1.06/1.31 assert (zenon_L136_ : ((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> (~(hskp6)) -> ((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/((hskp6)\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_Hb2 zenon_Hb3 zenon_Hae zenon_Hc5 zenon_H49 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H1 zenon_Hf0 zenon_H51.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.06/1.31 apply (zenon_L70_); trivial.
% 1.06/1.31 apply (zenon_L48_); trivial.
% 1.06/1.31 (* end of lemma zenon_L136_ *)
% 1.06/1.31 assert (zenon_L137_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> (~(hskp6)) -> ((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/((hskp6)\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((hskp21)\/((hskp18)\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_Hb6 zenon_Hba zenon_Hb3 zenon_Hae zenon_Hc5 zenon_H49 zenon_H1 zenon_Hf0 zenon_H51 zenon_Hf zenon_Hd zenon_Hbc zenon_Hbd zenon_Hbe zenon_H157 zenon_Hd6 zenon_Hd9 zenon_H54.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.06/1.31 apply (zenon_L135_); trivial.
% 1.06/1.31 apply (zenon_L136_); trivial.
% 1.06/1.31 (* end of lemma zenon_L137_ *)
% 1.06/1.31 assert (zenon_L138_ : (~(hskp26)) -> (hskp26) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H1a0 zenon_H1a1.
% 1.06/1.31 exact (zenon_H1a0 zenon_H1a1).
% 1.06/1.31 (* end of lemma zenon_L138_ *)
% 1.06/1.31 assert (zenon_L139_ : ((hskp30)\/((hskp21)\/(hskp26))) -> (~(hskp30)) -> (~(hskp21)) -> (~(hskp26)) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H1a2 zenon_H1d zenon_H9 zenon_H1a0.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H1e | zenon_intro zenon_H1a3 ].
% 1.06/1.31 exact (zenon_H1d zenon_H1e).
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Ha | zenon_intro zenon_H1a1 ].
% 1.06/1.31 exact (zenon_H9 zenon_Ha).
% 1.06/1.31 exact (zenon_H1a0 zenon_H1a1).
% 1.06/1.31 (* end of lemma zenon_L139_ *)
% 1.06/1.31 assert (zenon_L140_ : ((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp21)) -> (~(hskp26)) -> ((hskp30)\/((hskp21)\/(hskp26))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H4d zenon_H3e zenon_H4b zenon_H49 zenon_H9 zenon_H1a0 zenon_H1a2.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H12. zenon_intro zenon_H4e.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H40. zenon_intro zenon_H4f.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H41. zenon_intro zenon_H42.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H1d | zenon_intro zenon_H39 ].
% 1.06/1.31 apply (zenon_L139_); trivial.
% 1.06/1.31 apply (zenon_L21_); trivial.
% 1.06/1.31 (* end of lemma zenon_L140_ *)
% 1.06/1.31 assert (zenon_L141_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp21)) -> (~(hskp26)) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (ndr1_0) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H51 zenon_H3e zenon_H4b zenon_H9 zenon_H1a0 zenon_H1a2 zenon_H12 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H49 zenon_Hc5.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ].
% 1.06/1.31 apply (zenon_L53_); trivial.
% 1.06/1.31 apply (zenon_L140_); trivial.
% 1.06/1.31 (* end of lemma zenon_L141_ *)
% 1.06/1.31 assert (zenon_L142_ : (forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32)))))) -> (ndr1_0) -> (forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))) -> (c0_1 (a2601)) -> (c3_1 (a2601)) -> (~(c2_1 (a2601))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H118 zenon_H12 zenon_H14a zenon_H1a4 zenon_H1a5 zenon_H1a6.
% 1.06/1.31 generalize (zenon_H118 (a2601)). zenon_intro zenon_H1a7.
% 1.06/1.31 apply (zenon_imply_s _ _ zenon_H1a7); [ zenon_intro zenon_H11 | zenon_intro zenon_H1a8 ].
% 1.06/1.31 exact (zenon_H11 zenon_H12).
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1a9 ].
% 1.06/1.31 generalize (zenon_H14a (a2601)). zenon_intro zenon_H1ab.
% 1.06/1.31 apply (zenon_imply_s _ _ zenon_H1ab); [ zenon_intro zenon_H11 | zenon_intro zenon_H1ac ].
% 1.06/1.31 exact (zenon_H11 zenon_H12).
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1ad ].
% 1.06/1.31 exact (zenon_H1ae zenon_H1a4).
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1af ].
% 1.06/1.31 exact (zenon_H1b0 zenon_H1aa).
% 1.06/1.31 exact (zenon_H1af zenon_H1a5).
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H1af ].
% 1.06/1.31 exact (zenon_H1a6 zenon_H1b1).
% 1.06/1.31 exact (zenon_H1af zenon_H1a5).
% 1.06/1.31 (* end of lemma zenon_L142_ *)
% 1.06/1.31 assert (zenon_L143_ : ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(c3_1 (a2553))) -> (c0_1 (a2553)) -> (~(c1_1 (a2553))) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))) -> (~(c2_1 (a2601))) -> (c3_1 (a2601)) -> (c0_1 (a2601)) -> (ndr1_0) -> (forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32)))))) -> (~(hskp10)) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H157 zenon_He0 zenon_He1 zenon_Hdf zenon_H93 zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_H12 zenon_H118 zenon_Hd6.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H65 | zenon_intro zenon_H158 ].
% 1.06/1.31 apply (zenon_L94_); trivial.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H14a | zenon_intro zenon_Hd7 ].
% 1.06/1.31 apply (zenon_L142_); trivial.
% 1.06/1.31 exact (zenon_Hd6 zenon_Hd7).
% 1.06/1.31 (* end of lemma zenon_L143_ *)
% 1.06/1.31 assert (zenon_L144_ : ((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(c3_1 (a2553))) -> (c0_1 (a2553)) -> (~(c1_1 (a2553))) -> (~(hskp10)) -> (~(c0_1 (a2539))) -> (~(c2_1 (a2539))) -> (c3_1 (a2539)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp11)) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H1b2 zenon_H11d zenon_H157 zenon_He0 zenon_He1 zenon_Hdf zenon_Hd6 zenon_H191 zenon_H192 zenon_H193 zenon_H1b3 zenon_H11b.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H12. zenon_intro zenon_H1b4.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H1a4. zenon_intro zenon_H1b5.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H1a5. zenon_intro zenon_H1a6.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H102 | zenon_intro zenon_H11e ].
% 1.06/1.31 apply (zenon_L125_); trivial.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H118 | zenon_intro zenon_H11c ].
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H102 | zenon_intro zenon_H1b6 ].
% 1.06/1.31 apply (zenon_L125_); trivial.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H93 | zenon_intro zenon_H14a ].
% 1.06/1.31 apply (zenon_L143_); trivial.
% 1.06/1.31 apply (zenon_L142_); trivial.
% 1.06/1.31 exact (zenon_H11b zenon_H11c).
% 1.06/1.31 (* end of lemma zenon_L144_ *)
% 1.06/1.31 assert (zenon_L145_ : ((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a2539)) -> (~(c2_1 (a2539))) -> (~(c0_1 (a2539))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(hskp21)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_Hea zenon_H1b7 zenon_H11d zenon_H11b zenon_H157 zenon_Hd6 zenon_H1b3 zenon_H193 zenon_H192 zenon_H191 zenon_Hc5 zenon_H49 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H1a2 zenon_H9 zenon_H4b zenon_H3e zenon_H51.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1b2 ].
% 1.06/1.31 apply (zenon_L141_); trivial.
% 1.06/1.31 apply (zenon_L144_); trivial.
% 1.06/1.31 (* end of lemma zenon_L145_ *)
% 1.06/1.31 assert (zenon_L146_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a2539)) -> (~(c2_1 (a2539))) -> (~(c0_1 (a2539))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(hskp21)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> (~(hskp10)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_Hef zenon_H1b7 zenon_H11d zenon_H11b zenon_H157 zenon_H1b3 zenon_H193 zenon_H192 zenon_H191 zenon_Hc5 zenon_H49 zenon_H1a2 zenon_H9 zenon_H4b zenon_H3e zenon_H51 zenon_Hcb zenon_Hbc zenon_Hbd zenon_Hbe zenon_Hd6 zenon_Hd9 zenon_Hdd.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.06/1.31 apply (zenon_L62_); trivial.
% 1.06/1.31 apply (zenon_L145_); trivial.
% 1.06/1.31 (* end of lemma zenon_L146_ *)
% 1.06/1.31 assert (zenon_L147_ : ((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> (~(hskp4)) -> ((hskp21)\/((hskp18)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp23)\/(hskp27)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/((hskp6)\/(hskp20))) -> (~(hskp6)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H1b8 zenon_H1b9 zenon_H1b7 zenon_H11d zenon_H11b zenon_H1b3 zenon_H1a2 zenon_H4b zenon_H3e zenon_Hba zenon_H63 zenon_H5f zenon_Hf zenon_Hd zenon_Ha2 zenon_H49 zenon_H9d zenon_H7f zenon_Hcb zenon_H114 zenon_H12f zenon_Hdd zenon_H92 zenon_H144 zenon_Hd6 zenon_H157 zenon_H134 zenon_H133 zenon_H132 zenon_Hd9 zenon_Hef zenon_H54 zenon_H51 zenon_Hf0 zenon_H1 zenon_Hc5 zenon_Hae zenon_Hb3 zenon_Hb9.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.06/1.31 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.06/1.31 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.06/1.31 apply (zenon_L8_); trivial.
% 1.06/1.31 apply (zenon_L132_); trivial.
% 1.06/1.31 apply (zenon_L97_); trivial.
% 1.06/1.31 apply (zenon_L137_); trivial.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.06/1.31 apply (zenon_L146_); trivial.
% 1.06/1.31 apply (zenon_L132_); trivial.
% 1.06/1.31 apply (zenon_L137_); trivial.
% 1.06/1.31 (* end of lemma zenon_L147_ *)
% 1.06/1.31 assert (zenon_L148_ : ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (ndr1_0) -> (~(hskp29)) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H1bc zenon_H182 zenon_H181 zenon_H180 zenon_H122 zenon_H121 zenon_H120 zenon_H12 zenon_H150.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H118 | zenon_intro zenon_H1bd ].
% 1.06/1.31 apply (zenon_L115_); trivial.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H11f | zenon_intro zenon_H151 ].
% 1.06/1.31 apply (zenon_L83_); trivial.
% 1.06/1.31 exact (zenon_H150 zenon_H151).
% 1.06/1.31 (* end of lemma zenon_L148_ *)
% 1.06/1.31 assert (zenon_L149_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (ndr1_0) -> (~(c1_1 (a2541))) -> (~(c2_1 (a2541))) -> (c3_1 (a2541)) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H177 zenon_H174 zenon_H157 zenon_Hd6 zenon_H68 zenon_H67 zenon_H66 zenon_Hc7 zenon_H163 zenon_H12 zenon_H180 zenon_H181 zenon_H182 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.06/1.31 apply (zenon_L148_); trivial.
% 1.06/1.31 apply (zenon_L110_); trivial.
% 1.06/1.31 (* end of lemma zenon_L149_ *)
% 1.06/1.31 assert (zenon_L150_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H18d zenon_Hef zenon_H189 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H163 zenon_H66 zenon_H67 zenon_H68 zenon_Hd6 zenon_H157 zenon_H174 zenon_H177.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.06/1.31 apply (zenon_L149_); trivial.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.06/1.31 apply (zenon_L148_); trivial.
% 1.06/1.31 apply (zenon_L116_); trivial.
% 1.06/1.31 (* end of lemma zenon_L150_ *)
% 1.06/1.31 assert (zenon_L151_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> (~(hskp2)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_H189 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H163 zenon_Hd6 zenon_H157 zenon_H174 zenon_H177 zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H75 zenon_H142 zenon_Hef.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.06/1.31 apply (zenon_L101_); trivial.
% 1.06/1.31 apply (zenon_L150_); trivial.
% 1.06/1.31 (* end of lemma zenon_L151_ *)
% 1.06/1.31 assert (zenon_L152_ : (forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25)))))) -> (ndr1_0) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c1_1 (a2540)) -> False).
% 1.06/1.31 do 0 intro. intros zenon_Hcc zenon_H12 zenon_H66 zenon_H67 zenon_H1be.
% 1.06/1.31 generalize (zenon_Hcc (a2540)). zenon_intro zenon_H1bf.
% 1.06/1.31 apply (zenon_imply_s _ _ zenon_H1bf); [ zenon_intro zenon_H11 | zenon_intro zenon_H1c0 ].
% 1.06/1.31 exact (zenon_H11 zenon_H12).
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H6c | zenon_intro zenon_H1c1 ].
% 1.06/1.31 exact (zenon_H66 zenon_H6c).
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H6e | zenon_intro zenon_H1c2 ].
% 1.06/1.31 exact (zenon_H67 zenon_H6e).
% 1.06/1.31 exact (zenon_H1c2 zenon_H1be).
% 1.06/1.31 (* end of lemma zenon_L152_ *)
% 1.06/1.31 assert (zenon_L153_ : (forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63))))) -> (ndr1_0) -> (forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25)))))) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H1c3 zenon_H12 zenon_Hcc zenon_H66 zenon_H67.
% 1.06/1.31 generalize (zenon_H1c3 (a2540)). zenon_intro zenon_H1c4.
% 1.06/1.31 apply (zenon_imply_s _ _ zenon_H1c4); [ zenon_intro zenon_H11 | zenon_intro zenon_H1c5 ].
% 1.06/1.31 exact (zenon_H11 zenon_H12).
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1be | zenon_intro zenon_H1c6 ].
% 1.06/1.31 apply (zenon_L152_); trivial.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H6c | zenon_intro zenon_H6e ].
% 1.06/1.31 exact (zenon_H66 zenon_H6c).
% 1.06/1.31 exact (zenon_H67 zenon_H6e).
% 1.06/1.31 (* end of lemma zenon_L153_ *)
% 1.06/1.31 assert (zenon_L154_ : ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25)))))) -> (ndr1_0) -> (~(hskp19)) -> (~(hskp20)) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H1c7 zenon_H67 zenon_H66 zenon_Hcc zenon_H12 zenon_H3 zenon_H77.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1c8 ].
% 1.06/1.31 apply (zenon_L153_); trivial.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H4 | zenon_intro zenon_H78 ].
% 1.06/1.31 exact (zenon_H3 zenon_H4).
% 1.06/1.31 exact (zenon_H77 zenon_H78).
% 1.06/1.31 (* end of lemma zenon_L154_ *)
% 1.06/1.31 assert (zenon_L155_ : ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (~(hskp20)) -> (~(hskp19)) -> (ndr1_0) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(hskp17)) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_H77 zenon_H3 zenon_H12 zenon_H66 zenon_H67 zenon_H1c7 zenon_H146.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H131 | zenon_intro zenon_H149 ].
% 1.06/1.31 apply (zenon_L93_); trivial.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hcc | zenon_intro zenon_H147 ].
% 1.06/1.31 apply (zenon_L154_); trivial.
% 1.06/1.31 exact (zenon_H146 zenon_H147).
% 1.06/1.31 (* end of lemma zenon_L155_ *)
% 1.06/1.31 assert (zenon_L156_ : ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c3_1 (a2528)) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V)))))) -> (~(c1_1 (a2528))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (ndr1_0) -> (~(hskp29)) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H1bc zenon_H105 zenon_H10c zenon_H10d zenon_H122 zenon_H121 zenon_H120 zenon_H12 zenon_H150.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H118 | zenon_intro zenon_H1bd ].
% 1.06/1.31 apply (zenon_L80_); trivial.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H11f | zenon_intro zenon_H151 ].
% 1.06/1.31 apply (zenon_L83_); trivial.
% 1.06/1.31 exact (zenon_H150 zenon_H151).
% 1.06/1.31 (* end of lemma zenon_L156_ *)
% 1.06/1.31 assert (zenon_L157_ : ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> (~(hskp29)) -> (ndr1_0) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> (~(c1_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(hskp8)) -> (~(hskp7)) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H116 zenon_H150 zenon_H12 zenon_H120 zenon_H121 zenon_H122 zenon_H10d zenon_H105 zenon_H1bc zenon_H112 zenon_H114.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H10c | zenon_intro zenon_H117 ].
% 1.06/1.31 apply (zenon_L156_); trivial.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H113 | zenon_intro zenon_H115 ].
% 1.06/1.31 exact (zenon_H112 zenon_H113).
% 1.06/1.31 exact (zenon_H114 zenon_H115).
% 1.06/1.31 (* end of lemma zenon_L157_ *)
% 1.06/1.31 assert (zenon_L158_ : (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5)))))) -> (ndr1_0) -> (forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H55 zenon_H12 zenon_H2d zenon_H121 zenon_H122.
% 1.06/1.31 generalize (zenon_H55 (a2531)). zenon_intro zenon_H1c9.
% 1.06/1.31 apply (zenon_imply_s _ _ zenon_H1c9); [ zenon_intro zenon_H11 | zenon_intro zenon_H1ca ].
% 1.06/1.31 exact (zenon_H11 zenon_H12).
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1cb | zenon_intro zenon_H125 ].
% 1.06/1.31 generalize (zenon_H2d (a2531)). zenon_intro zenon_H1cc.
% 1.06/1.31 apply (zenon_imply_s _ _ zenon_H1cc); [ zenon_intro zenon_H11 | zenon_intro zenon_H1cd ].
% 1.06/1.31 exact (zenon_H11 zenon_H12).
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H1ce | zenon_intro zenon_H125 ].
% 1.06/1.31 exact (zenon_H1ce zenon_H1cb).
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H128 | zenon_intro zenon_H127 ].
% 1.06/1.31 exact (zenon_H128 zenon_H121).
% 1.06/1.31 exact (zenon_H127 zenon_H122).
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H128 | zenon_intro zenon_H127 ].
% 1.06/1.31 exact (zenon_H128 zenon_H121).
% 1.06/1.31 exact (zenon_H127 zenon_H122).
% 1.06/1.31 (* end of lemma zenon_L158_ *)
% 1.06/1.31 assert (zenon_L159_ : (forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))) -> (ndr1_0) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5)))))) -> (c1_1 (a2556)) -> (c2_1 (a2556)) -> (c3_1 (a2556)) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H3f zenon_H12 zenon_H55 zenon_H15a zenon_H15b zenon_H15c.
% 1.06/1.31 generalize (zenon_H3f (a2556)). zenon_intro zenon_H1cf.
% 1.06/1.31 apply (zenon_imply_s _ _ zenon_H1cf); [ zenon_intro zenon_H11 | zenon_intro zenon_H1d0 ].
% 1.06/1.31 exact (zenon_H11 zenon_H12).
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H178 | zenon_intro zenon_H15f ].
% 1.06/1.31 apply (zenon_L112_); trivial.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H162 | zenon_intro zenon_H161 ].
% 1.06/1.31 exact (zenon_H162 zenon_H15b).
% 1.06/1.31 exact (zenon_H161 zenon_H15c).
% 1.06/1.31 (* end of lemma zenon_L159_ *)
% 1.06/1.31 assert (zenon_L160_ : ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (c3_1 (a2556)) -> (c2_1 (a2556)) -> (c1_1 (a2556)) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5)))))) -> (ndr1_0) -> (~(hskp3)) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H4b zenon_H122 zenon_H121 zenon_H15c zenon_H15b zenon_H15a zenon_H55 zenon_H12 zenon_H49.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2d | zenon_intro zenon_H4c ].
% 1.06/1.31 apply (zenon_L158_); trivial.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H3f | zenon_intro zenon_H4a ].
% 1.06/1.31 apply (zenon_L159_); trivial.
% 1.06/1.31 exact (zenon_H49 zenon_H4a).
% 1.06/1.31 (* end of lemma zenon_L160_ *)
% 1.06/1.31 assert (zenon_L161_ : ((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (c2_1 (a2549)) -> (~(c1_1 (a2549))) -> (~(c0_1 (a2549))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp3)) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H173 zenon_Hae zenon_Ha6 zenon_Ha5 zenon_Ha4 zenon_H121 zenon_H122 zenon_H4b zenon_H49.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hb1 ].
% 1.06/1.31 apply (zenon_L47_); trivial.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H55 | zenon_intro zenon_H4a ].
% 1.06/1.31 apply (zenon_L160_); trivial.
% 1.06/1.31 exact (zenon_H49 zenon_H4a).
% 1.06/1.31 (* end of lemma zenon_L161_ *)
% 1.06/1.31 assert (zenon_L162_ : ((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (c3_1 (a2528)) -> (~(c1_1 (a2528))) -> (~(hskp8)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_Had zenon_H177 zenon_Hae zenon_H49 zenon_H4b zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H105 zenon_H10d zenon_H112 zenon_H114 zenon_H116.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.06/1.31 apply (zenon_L157_); trivial.
% 1.06/1.31 apply (zenon_L161_); trivial.
% 1.06/1.31 (* end of lemma zenon_L162_ *)
% 1.06/1.31 assert (zenon_L163_ : ((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp7)) -> (~(hskp8)) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> (c2_1 (a2555)) -> (c0_1 (a2555)) -> (~(c1_1 (a2555))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H170 zenon_H1b3 zenon_H114 zenon_H112 zenon_H10d zenon_H103 zenon_H105 zenon_H116 zenon_H96 zenon_H95 zenon_H94.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H167. zenon_intro zenon_H172.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H168. zenon_intro zenon_H169.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H102 | zenon_intro zenon_H1b6 ].
% 1.06/1.31 apply (zenon_L79_); trivial.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H93 | zenon_intro zenon_H14a ].
% 1.06/1.31 apply (zenon_L43_); trivial.
% 1.06/1.31 apply (zenon_L108_); trivial.
% 1.06/1.31 (* end of lemma zenon_L163_ *)
% 1.06/1.31 assert (zenon_L164_ : ((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (c2_1 (a2555)) -> (c0_1 (a2555)) -> (~(c1_1 (a2555))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(hskp8)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H173 zenon_H174 zenon_H1b3 zenon_H96 zenon_H95 zenon_H94 zenon_H10d zenon_H103 zenon_H105 zenon_H112 zenon_H114 zenon_H116 zenon_Hc7 zenon_H163.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H164 | zenon_intro zenon_H170 ].
% 1.06/1.31 apply (zenon_L107_); trivial.
% 1.06/1.31 apply (zenon_L163_); trivial.
% 1.06/1.31 (* end of lemma zenon_L164_ *)
% 1.06/1.31 assert (zenon_L165_ : ((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(hskp8)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c1_1 (a2541))) -> (~(c2_1 (a2541))) -> (c3_1 (a2541)) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H9f zenon_H177 zenon_H174 zenon_H1b3 zenon_H10d zenon_H103 zenon_H105 zenon_H112 zenon_H114 zenon_H116 zenon_Hc7 zenon_H163 zenon_H180 zenon_H181 zenon_H182 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.06/1.31 apply (zenon_L148_); trivial.
% 1.06/1.31 apply (zenon_L164_); trivial.
% 1.06/1.31 (* end of lemma zenon_L165_ *)
% 1.06/1.31 assert (zenon_L166_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(hskp8)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (ndr1_0) -> (~(c1_1 (a2541))) -> (~(c2_1 (a2541))) -> (c3_1 (a2541)) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_Ha2 zenon_H177 zenon_H174 zenon_H1b3 zenon_H10d zenon_H103 zenon_H105 zenon_H112 zenon_H114 zenon_H116 zenon_Hc7 zenon_H163 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H12 zenon_H180 zenon_H181 zenon_H182 zenon_H66 zenon_H67 zenon_H68 zenon_H18b.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.06/1.31 apply (zenon_L120_); trivial.
% 1.06/1.31 apply (zenon_L165_); trivial.
% 1.06/1.31 (* end of lemma zenon_L166_ *)
% 1.06/1.31 assert (zenon_L167_ : ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> (~(c3_1 (a2553))) -> (c0_1 (a2553)) -> (~(c1_1 (a2553))) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))) -> (ndr1_0) -> (~(hskp24)) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H18b zenon_H182 zenon_H181 zenon_H180 zenon_He0 zenon_He1 zenon_Hdf zenon_H93 zenon_H12 zenon_H7b.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H118 | zenon_intro zenon_H18c ].
% 1.06/1.31 apply (zenon_L115_); trivial.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H65 | zenon_intro zenon_H7c ].
% 1.06/1.31 apply (zenon_L94_); trivial.
% 1.06/1.31 exact (zenon_H7b zenon_H7c).
% 1.06/1.31 (* end of lemma zenon_L167_ *)
% 1.06/1.31 assert (zenon_L168_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c3_1 (a2556)) -> (c2_1 (a2556)) -> (c1_1 (a2556)) -> (forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> (ndr1_0) -> (~(c1_1 (a2553))) -> (~(c3_1 (a2553))) -> (c0_1 (a2553)) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H189 zenon_H15c zenon_H15b zenon_H15a zenon_H14a zenon_H182 zenon_H181 zenon_H180 zenon_H12 zenon_Hdf zenon_He0 zenon_He1.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H55 | zenon_intro zenon_H18a ].
% 1.06/1.31 apply (zenon_L113_); trivial.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H118 | zenon_intro zenon_Hde ].
% 1.06/1.31 apply (zenon_L115_); trivial.
% 1.06/1.31 apply (zenon_L63_); trivial.
% 1.06/1.31 (* end of lemma zenon_L168_ *)
% 1.06/1.31 assert (zenon_L169_ : ((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp7)) -> (~(hskp8)) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> (~(hskp24)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> (~(c1_1 (a2553))) -> (~(c3_1 (a2553))) -> (c0_1 (a2553)) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H173 zenon_H1b3 zenon_H114 zenon_H112 zenon_H10d zenon_H103 zenon_H105 zenon_H116 zenon_H7b zenon_H18b zenon_H189 zenon_H182 zenon_H181 zenon_H180 zenon_Hdf zenon_He0 zenon_He1.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H102 | zenon_intro zenon_H1b6 ].
% 1.06/1.31 apply (zenon_L79_); trivial.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H93 | zenon_intro zenon_H14a ].
% 1.06/1.31 apply (zenon_L167_); trivial.
% 1.06/1.31 apply (zenon_L168_); trivial.
% 1.06/1.31 (* end of lemma zenon_L169_ *)
% 1.06/1.31 assert (zenon_L170_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(c1_1 (a2553))) -> (c0_1 (a2553)) -> (~(c3_1 (a2553))) -> (~(hskp24)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(hskp8)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> (ndr1_0) -> (~(c1_1 (a2541))) -> (~(c2_1 (a2541))) -> (c3_1 (a2541)) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H177 zenon_H1b3 zenon_H189 zenon_Hdf zenon_He1 zenon_He0 zenon_H7b zenon_H18b zenon_H10d zenon_H103 zenon_H105 zenon_H112 zenon_H114 zenon_H116 zenon_H12 zenon_H180 zenon_H181 zenon_H182 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.06/1.31 apply (zenon_L148_); trivial.
% 1.06/1.31 apply (zenon_L169_); trivial.
% 1.06/1.31 (* end of lemma zenon_L170_ *)
% 1.06/1.31 assert (zenon_L171_ : ((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp7)) -> (~(hskp8)) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> (c2_1 (a2555)) -> (c0_1 (a2555)) -> (~(c1_1 (a2555))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> (~(c1_1 (a2553))) -> (~(c3_1 (a2553))) -> (c0_1 (a2553)) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H173 zenon_H1b3 zenon_H114 zenon_H112 zenon_H10d zenon_H103 zenon_H105 zenon_H116 zenon_H96 zenon_H95 zenon_H94 zenon_H189 zenon_H182 zenon_H181 zenon_H180 zenon_Hdf zenon_He0 zenon_He1.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H102 | zenon_intro zenon_H1b6 ].
% 1.06/1.31 apply (zenon_L79_); trivial.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H93 | zenon_intro zenon_H14a ].
% 1.06/1.31 apply (zenon_L43_); trivial.
% 1.06/1.31 apply (zenon_L168_); trivial.
% 1.06/1.31 (* end of lemma zenon_L171_ *)
% 1.06/1.31 assert (zenon_L172_ : ((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> (~(hskp7)) -> (~(hskp8)) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_Hea zenon_Ha2 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H182 zenon_H181 zenon_H180 zenon_H116 zenon_H114 zenon_H112 zenon_H105 zenon_H103 zenon_H10d zenon_H18b zenon_H189 zenon_H1b3 zenon_H177.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.06/1.31 apply (zenon_L170_); trivial.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.06/1.31 apply (zenon_L148_); trivial.
% 1.06/1.31 apply (zenon_L171_); trivial.
% 1.06/1.31 (* end of lemma zenon_L172_ *)
% 1.06/1.31 assert (zenon_L173_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> (~(hskp7)) -> (~(hskp8)) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H18d zenon_Hef zenon_H189 zenon_H18b zenon_H68 zenon_H67 zenon_H66 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H163 zenon_H116 zenon_H114 zenon_H112 zenon_H105 zenon_H103 zenon_H10d zenon_H1b3 zenon_H174 zenon_H177 zenon_Ha2.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.06/1.31 apply (zenon_L166_); trivial.
% 1.06/1.31 apply (zenon_L172_); trivial.
% 1.06/1.31 (* end of lemma zenon_L173_ *)
% 1.06/1.31 assert (zenon_L174_ : ((ndr1_0)/\((c3_1 (a2528))/\((~(c0_1 (a2528)))/\(~(c1_1 (a2528)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((hskp6)\/((hskp19)\/(hskp16))) -> (~(hskp6)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> (~(hskp7)) -> (~(hskp8)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H1d1 zenon_H12e zenon_Hb9 zenon_H190 zenon_Hef zenon_H189 zenon_H18b zenon_H163 zenon_H1b3 zenon_H174 zenon_Ha2 zenon_Hb3 zenon_H177 zenon_Hae zenon_H49 zenon_H4b zenon_H1bc zenon_H132 zenon_H133 zenon_H134 zenon_H1c7 zenon_H148 zenon_H7 zenon_H1 zenon_H5f zenon_H129 zenon_H74 zenon_H116 zenon_H114 zenon_H112 zenon_H11d.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.06/1.31 apply (zenon_L82_); trivial.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.06/1.31 apply (zenon_L85_); trivial.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.06/1.31 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.06/1.31 apply (zenon_L155_); trivial.
% 1.06/1.31 apply (zenon_L162_); trivial.
% 1.06/1.31 apply (zenon_L84_); trivial.
% 1.06/1.31 apply (zenon_L173_); trivial.
% 1.06/1.31 (* end of lemma zenon_L174_ *)
% 1.06/1.31 assert (zenon_L175_ : ((~(hskp10))\/((ndr1_0)/\((c3_1 (a2528))/\((~(c0_1 (a2528)))/\(~(c1_1 (a2528))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> (~(hskp8)) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/((hskp6)\/(hskp20))) -> (~(hskp6)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp2)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp23)\/(hskp27)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp1)) -> ((hskp21)\/((hskp18)\/(hskp1))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> ((hskp6)\/((hskp19)\/(hskp16))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531))))))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H1d4 zenon_H1c7 zenon_H116 zenon_H112 zenon_H1d5 zenon_H1b7 zenon_H1b3 zenon_H1a2 zenon_H4b zenon_H3e zenon_Hd9 zenon_H51 zenon_Hf0 zenon_H1 zenon_Hc5 zenon_Hae zenon_Hb3 zenon_Hb9 zenon_H190 zenon_H8e zenon_H18b zenon_H177 zenon_H174 zenon_H163 zenon_H152 zenon_H157 zenon_H189 zenon_H148 zenon_H54 zenon_Hef zenon_H144 zenon_H75 zenon_H142 zenon_H134 zenon_H133 zenon_H132 zenon_H92 zenon_Hdd zenon_H12f zenon_H114 zenon_Hcb zenon_H7f zenon_H9d zenon_H49 zenon_Ha2 zenon_Hd zenon_Hf zenon_H5f zenon_H63 zenon_Hba zenon_H11d zenon_H1b9 zenon_H74 zenon_H129 zenon_H7 zenon_H1bc zenon_H12e.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.06/1.31 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.06/1.31 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.06/1.31 apply (zenon_L8_); trivial.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.06/1.31 apply (zenon_L92_); trivial.
% 1.06/1.31 apply (zenon_L96_); trivial.
% 1.06/1.31 apply (zenon_L97_); trivial.
% 1.06/1.31 apply (zenon_L123_); trivial.
% 1.06/1.31 apply (zenon_L128_); trivial.
% 1.06/1.31 apply (zenon_L147_); trivial.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.06/1.31 apply (zenon_L85_); trivial.
% 1.06/1.31 apply (zenon_L151_); trivial.
% 1.06/1.31 apply (zenon_L174_); trivial.
% 1.06/1.31 (* end of lemma zenon_L175_ *)
% 1.06/1.31 assert (zenon_L176_ : (forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))) -> (ndr1_0) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H1d6 zenon_H12 zenon_H1d7 zenon_H1d8 zenon_H1d9.
% 1.06/1.31 generalize (zenon_H1d6 (a2525)). zenon_intro zenon_H1da.
% 1.06/1.31 apply (zenon_imply_s _ _ zenon_H1da); [ zenon_intro zenon_H11 | zenon_intro zenon_H1db ].
% 1.06/1.31 exact (zenon_H11 zenon_H12).
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1dd | zenon_intro zenon_H1dc ].
% 1.06/1.31 exact (zenon_H1d7 zenon_H1dd).
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1df | zenon_intro zenon_H1de ].
% 1.06/1.31 exact (zenon_H1df zenon_H1d8).
% 1.06/1.31 exact (zenon_H1de zenon_H1d9).
% 1.06/1.31 (* end of lemma zenon_L176_ *)
% 1.06/1.31 assert (zenon_L177_ : ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (ndr1_0) -> (~(hskp25)) -> (~(hskp20)) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H1e0 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H12 zenon_H7d zenon_H77.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e1 ].
% 1.06/1.31 apply (zenon_L176_); trivial.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H7e | zenon_intro zenon_H78 ].
% 1.06/1.31 exact (zenon_H7d zenon_H7e).
% 1.06/1.31 exact (zenon_H77 zenon_H78).
% 1.06/1.31 (* end of lemma zenon_L177_ *)
% 1.06/1.31 assert (zenon_L178_ : ((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (~(hskp13)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_Hb2 zenon_Hb3 zenon_Hae zenon_H49 zenon_H1e0 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H8b zenon_H8e zenon_H92.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.06/1.31 apply (zenon_L177_); trivial.
% 1.06/1.31 apply (zenon_L41_); trivial.
% 1.06/1.31 apply (zenon_L48_); trivial.
% 1.06/1.31 (* end of lemma zenon_L178_ *)
% 1.06/1.31 assert (zenon_L179_ : ((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(hskp6)) -> ((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/((hskp6)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp1)) -> ((hskp21)\/((hskp18)\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((hskp23)\/(hskp27)) -> (~(hskp10)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H1b8 zenon_H101 zenon_Hfc zenon_H1 zenon_Hf0 zenon_H54 zenon_H51 zenon_H3e zenon_H4b zenon_H1f zenon_H21 zenon_H49 zenon_Hc5 zenon_Hd zenon_Hf zenon_Hef zenon_Heb zenon_Hcb zenon_Hd6 zenon_Hd9 zenon_Hdd zenon_Hae zenon_Hb3 zenon_Hba.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.06/1.31 apply (zenon_L74_); trivial.
% 1.06/1.31 (* end of lemma zenon_L179_ *)
% 1.06/1.31 assert (zenon_L180_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/((hskp6)\/(hskp20))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((hskp23)\/(hskp27)) -> (~(hskp10)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((hskp6)\/((hskp19)\/(hskp16))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> (~(hskp4)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp9)\/(hskp4))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H1d5 zenon_H101 zenon_Hfc zenon_Hf0 zenon_Hc5 zenon_Hef zenon_Heb zenon_Hcb zenon_Hd6 zenon_Hd9 zenon_Hdd zenon_Hba zenon_Hb3 zenon_Hae zenon_H1e0 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H8e zenon_H92 zenon_H7 zenon_H1 zenon_Hf zenon_Hd zenon_H3e zenon_H3a zenon_H1f zenon_H21 zenon_H49 zenon_H4b zenon_H51 zenon_H54 zenon_H74 zenon_H5f zenon_H6f zenon_Hb9.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.06/1.31 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.06/1.31 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.06/1.31 apply (zenon_L32_); trivial.
% 1.06/1.31 apply (zenon_L178_); trivial.
% 1.06/1.31 apply (zenon_L50_); trivial.
% 1.06/1.31 apply (zenon_L179_); trivial.
% 1.06/1.31 (* end of lemma zenon_L180_ *)
% 1.06/1.31 assert (zenon_L181_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp23)) -> ((hskp23)\/(hskp27)) -> (ndr1_0) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> (~(hskp20)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H92 zenon_Hdd zenon_H12f zenon_H114 zenon_Hc7 zenon_Hcb zenon_H12 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H77 zenon_H1e0.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.06/1.31 apply (zenon_L177_); trivial.
% 1.06/1.31 apply (zenon_L90_); trivial.
% 1.06/1.31 (* end of lemma zenon_L181_ *)
% 1.06/1.31 assert (zenon_L182_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> (~(hskp14)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (~(hskp20)) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (ndr1_0) -> ((hskp23)\/(hskp27)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_Hef zenon_Heb zenon_He8 zenon_H1e0 zenon_H77 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H12 zenon_Hcb zenon_H114 zenon_H12f zenon_Hdd zenon_H92.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.06/1.31 apply (zenon_L181_); trivial.
% 1.06/1.31 apply (zenon_L65_); trivial.
% 1.06/1.31 (* end of lemma zenon_L182_ *)
% 1.06/1.31 assert (zenon_L183_ : (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10)))))) -> (ndr1_0) -> (~(c0_1 (a2528))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31)))))) -> (c3_1 (a2528)) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H1e2 zenon_H12 zenon_H103 zenon_H102 zenon_H105.
% 1.06/1.31 generalize (zenon_H1e2 (a2528)). zenon_intro zenon_H1e3.
% 1.06/1.31 apply (zenon_imply_s _ _ zenon_H1e3); [ zenon_intro zenon_H11 | zenon_intro zenon_H1e4 ].
% 1.06/1.31 exact (zenon_H11 zenon_H12).
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H109 | zenon_intro zenon_H110 ].
% 1.06/1.31 exact (zenon_H103 zenon_H109).
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H104 | zenon_intro zenon_H10a ].
% 1.06/1.31 apply (zenon_L75_); trivial.
% 1.06/1.31 exact (zenon_H10a zenon_H105).
% 1.06/1.31 (* end of lemma zenon_L183_ *)
% 1.06/1.31 assert (zenon_L184_ : (forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32)))))) -> (ndr1_0) -> (~(c1_1 (a2528))) -> (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10)))))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H118 zenon_H12 zenon_H10d zenon_H1e2 zenon_H103 zenon_H105.
% 1.06/1.31 generalize (zenon_H118 (a2528)). zenon_intro zenon_H119.
% 1.06/1.31 apply (zenon_imply_s _ _ zenon_H119); [ zenon_intro zenon_H11 | zenon_intro zenon_H11a ].
% 1.06/1.31 exact (zenon_H11 zenon_H12).
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H111 | zenon_intro zenon_H108 ].
% 1.06/1.31 exact (zenon_H10d zenon_H111).
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H10b | zenon_intro zenon_H10a ].
% 1.06/1.31 generalize (zenon_H1e2 (a2528)). zenon_intro zenon_H1e3.
% 1.06/1.31 apply (zenon_imply_s _ _ zenon_H1e3); [ zenon_intro zenon_H11 | zenon_intro zenon_H1e4 ].
% 1.06/1.31 exact (zenon_H11 zenon_H12).
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H109 | zenon_intro zenon_H110 ].
% 1.06/1.31 exact (zenon_H103 zenon_H109).
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H104 | zenon_intro zenon_H10a ].
% 1.06/1.31 exact (zenon_H104 zenon_H10b).
% 1.06/1.31 exact (zenon_H10a zenon_H105).
% 1.06/1.31 exact (zenon_H10a zenon_H105).
% 1.06/1.31 (* end of lemma zenon_L184_ *)
% 1.06/1.31 assert (zenon_L185_ : ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10)))))) -> (~(c1_1 (a2528))) -> (ndr1_0) -> (~(hskp11)) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H11d zenon_H105 zenon_H103 zenon_H1e2 zenon_H10d zenon_H12 zenon_H11b.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H102 | zenon_intro zenon_H11e ].
% 1.06/1.31 apply (zenon_L183_); trivial.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H118 | zenon_intro zenon_H11c ].
% 1.06/1.31 apply (zenon_L184_); trivial.
% 1.06/1.31 exact (zenon_H11b zenon_H11c).
% 1.06/1.31 (* end of lemma zenon_L185_ *)
% 1.06/1.31 assert (zenon_L186_ : ((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (~(hskp11)) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> False).
% 1.06/1.31 do 0 intro. intros zenon_Had zenon_H1e5 zenon_H11b zenon_H10d zenon_H103 zenon_H105 zenon_H11d zenon_H1d7 zenon_H1d8 zenon_H1d9.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H1e6 ].
% 1.06/1.31 apply (zenon_L47_); trivial.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1d6 ].
% 1.06/1.31 apply (zenon_L185_); trivial.
% 1.06/1.31 apply (zenon_L176_); trivial.
% 1.06/1.31 (* end of lemma zenon_L186_ *)
% 1.06/1.31 assert (zenon_L187_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c1_1 (a2528))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp23)\/(hskp27)) -> (ndr1_0) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_Hb3 zenon_H1e5 zenon_H103 zenon_H105 zenon_H10d zenon_H11b zenon_H11d zenon_H92 zenon_Hdd zenon_H12f zenon_H114 zenon_Hcb zenon_H12 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e0 zenon_He8 zenon_Heb zenon_Hef.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.06/1.31 apply (zenon_L182_); trivial.
% 1.06/1.31 apply (zenon_L186_); trivial.
% 1.06/1.31 (* end of lemma zenon_L187_ *)
% 1.06/1.31 assert (zenon_L188_ : ((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> (~(hskp2)) -> False).
% 1.06/1.31 do 0 intro. intros zenon_Hea zenon_H1e7 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H142 zenon_H75.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H1e8 ].
% 1.06/1.31 apply (zenon_L71_); trivial.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H93 | zenon_intro zenon_H76 ].
% 1.06/1.31 apply (zenon_L95_); trivial.
% 1.06/1.31 exact (zenon_H75 zenon_H76).
% 1.06/1.31 (* end of lemma zenon_L188_ *)
% 1.06/1.31 assert (zenon_L189_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (~(hskp20)) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (ndr1_0) -> ((hskp23)\/(hskp27)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_Hef zenon_H1e7 zenon_H75 zenon_H142 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H1e0 zenon_H77 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H12 zenon_Hcb zenon_H114 zenon_H12f zenon_Hdd zenon_H92.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.06/1.31 apply (zenon_L181_); trivial.
% 1.06/1.31 apply (zenon_L188_); trivial.
% 1.06/1.31 (* end of lemma zenon_L189_ *)
% 1.06/1.31 assert (zenon_L190_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c1_1 (a2528))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp23)\/(hskp27)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_Hfe zenon_Hb3 zenon_H1e5 zenon_H103 zenon_H105 zenon_H10d zenon_H11b zenon_H11d zenon_H92 zenon_Hdd zenon_H12f zenon_H114 zenon_Hcb zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e0 zenon_H142 zenon_H75 zenon_H1e7 zenon_Hef.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.06/1.31 apply (zenon_L189_); trivial.
% 1.06/1.31 apply (zenon_L186_); trivial.
% 1.06/1.31 (* end of lemma zenon_L190_ *)
% 1.06/1.31 assert (zenon_L191_ : ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (ndr1_0) -> ((hskp23)\/(hskp27)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a2528))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H101 zenon_H142 zenon_H75 zenon_H1e7 zenon_Hef zenon_Heb zenon_H1e0 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H12 zenon_Hcb zenon_H114 zenon_H12f zenon_Hdd zenon_H92 zenon_H11d zenon_H11b zenon_H10d zenon_H105 zenon_H103 zenon_H1e5 zenon_Hb3.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.06/1.31 apply (zenon_L187_); trivial.
% 1.06/1.31 apply (zenon_L190_); trivial.
% 1.06/1.31 (* end of lemma zenon_L191_ *)
% 1.06/1.31 assert (zenon_L192_ : ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> (~(c3_1 (a2553))) -> (c0_1 (a2553)) -> (~(c1_1 (a2553))) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))) -> (ndr1_0) -> (~(hskp19)) -> (~(hskp16)) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H1e9 zenon_He0 zenon_He1 zenon_Hdf zenon_H93 zenon_H12 zenon_H3 zenon_H5.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H65 | zenon_intro zenon_H8 ].
% 1.06/1.31 apply (zenon_L94_); trivial.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H8); [ zenon_intro zenon_H4 | zenon_intro zenon_H6 ].
% 1.06/1.31 exact (zenon_H3 zenon_H4).
% 1.06/1.31 exact (zenon_H5 zenon_H6).
% 1.06/1.31 (* end of lemma zenon_L192_ *)
% 1.06/1.31 assert (zenon_L193_ : ((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (~(hskp19)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> (~(hskp16)) -> False).
% 1.06/1.31 do 0 intro. intros zenon_Hea zenon_H144 zenon_H134 zenon_H133 zenon_H132 zenon_H3 zenon_H1e9 zenon_H5.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H131 | zenon_intro zenon_H145 ].
% 1.06/1.31 apply (zenon_L93_); trivial.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H93 | zenon_intro zenon_H6 ].
% 1.06/1.31 apply (zenon_L192_); trivial.
% 1.06/1.31 exact (zenon_H5 zenon_H6).
% 1.06/1.31 (* end of lemma zenon_L193_ *)
% 1.06/1.31 assert (zenon_L194_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp19)) -> (~(hskp16)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_Hef zenon_H144 zenon_H3 zenon_H5 zenon_H1e9 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H146 zenon_H148 zenon_Hdd.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.06/1.31 apply (zenon_L100_); trivial.
% 1.06/1.31 apply (zenon_L193_); trivial.
% 1.06/1.31 (* end of lemma zenon_L194_ *)
% 1.06/1.31 assert (zenon_L195_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> (~(hskp14)) -> (~(hskp20)) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_Hef zenon_Heb zenon_He8 zenon_H77 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H146 zenon_H148 zenon_Hdd.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.06/1.31 apply (zenon_L100_); trivial.
% 1.06/1.31 apply (zenon_L65_); trivial.
% 1.06/1.31 (* end of lemma zenon_L195_ *)
% 1.06/1.31 assert (zenon_L196_ : ((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> False).
% 1.06/1.31 do 0 intro. intros zenon_Had zenon_H1ea zenon_H26 zenon_H25 zenon_H24 zenon_H1d7 zenon_H1d8 zenon_H1d9.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H1eb ].
% 1.06/1.31 apply (zenon_L47_); trivial.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H23 | zenon_intro zenon_H1d6 ].
% 1.06/1.31 apply (zenon_L14_); trivial.
% 1.06/1.31 apply (zenon_L176_); trivial.
% 1.06/1.31 (* end of lemma zenon_L196_ *)
% 1.06/1.31 assert (zenon_L197_ : ((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H71 zenon_Hb3 zenon_H1ea zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_Hdd zenon_H148 zenon_H146 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_He8 zenon_Heb zenon_Hef.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.06/1.31 apply (zenon_L195_); trivial.
% 1.06/1.31 apply (zenon_L196_); trivial.
% 1.06/1.31 (* end of lemma zenon_L197_ *)
% 1.06/1.31 assert (zenon_L198_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> (~(hskp16)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H74 zenon_Hb3 zenon_H1ea zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_He8 zenon_Heb zenon_Hdd zenon_H148 zenon_H146 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H1e9 zenon_H5 zenon_H144 zenon_Hef.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.06/1.31 apply (zenon_L194_); trivial.
% 1.06/1.31 apply (zenon_L197_); trivial.
% 1.06/1.31 (* end of lemma zenon_L198_ *)
% 1.06/1.31 assert (zenon_L199_ : ((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (~(hskp16)) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H9f zenon_H144 zenon_H134 zenon_H133 zenon_H132 zenon_H5.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H131 | zenon_intro zenon_H145 ].
% 1.06/1.31 apply (zenon_L93_); trivial.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H93 | zenon_intro zenon_H6 ].
% 1.06/1.31 apply (zenon_L43_); trivial.
% 1.06/1.31 exact (zenon_H5 zenon_H6).
% 1.06/1.31 (* end of lemma zenon_L199_ *)
% 1.06/1.31 assert (zenon_L200_ : ((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> (~(hskp16)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_Hea zenon_Ha2 zenon_H132 zenon_H133 zenon_H134 zenon_H18b zenon_H182 zenon_H181 zenon_H180 zenon_H5 zenon_H144.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H131 | zenon_intro zenon_H145 ].
% 1.06/1.31 apply (zenon_L93_); trivial.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H93 | zenon_intro zenon_H6 ].
% 1.06/1.31 apply (zenon_L167_); trivial.
% 1.06/1.31 exact (zenon_H5 zenon_H6).
% 1.06/1.31 apply (zenon_L199_); trivial.
% 1.06/1.31 (* end of lemma zenon_L200_ *)
% 1.06/1.31 assert (zenon_L201_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> (~(hskp16)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (~(hskp20)) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (ndr1_0) -> ((hskp23)\/(hskp27)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_Hef zenon_Ha2 zenon_H132 zenon_H133 zenon_H134 zenon_H18b zenon_H182 zenon_H181 zenon_H180 zenon_H5 zenon_H144 zenon_H1e0 zenon_H77 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H12 zenon_Hcb zenon_H114 zenon_H12f zenon_Hdd zenon_H92.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.06/1.31 apply (zenon_L181_); trivial.
% 1.06/1.31 apply (zenon_L200_); trivial.
% 1.06/1.31 (* end of lemma zenon_L201_ *)
% 1.06/1.31 assert (zenon_L202_ : ((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp23)\/(hskp27)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a2541))) -> (~(c2_1 (a2541))) -> (c3_1 (a2541)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H71 zenon_Hb3 zenon_H1ea zenon_H92 zenon_Hdd zenon_H12f zenon_H114 zenon_Hcb zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e0 zenon_H144 zenon_H5 zenon_H180 zenon_H181 zenon_H182 zenon_H18b zenon_H134 zenon_H133 zenon_H132 zenon_Ha2 zenon_Hef.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.06/1.31 apply (zenon_L201_); trivial.
% 1.06/1.31 apply (zenon_L196_); trivial.
% 1.06/1.31 (* end of lemma zenon_L202_ *)
% 1.06/1.31 assert (zenon_L203_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_Hef zenon_H1e7 zenon_H75 zenon_H142 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H146 zenon_H148 zenon_Hdd.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.06/1.31 apply (zenon_L100_); trivial.
% 1.06/1.31 apply (zenon_L188_); trivial.
% 1.06/1.31 (* end of lemma zenon_L203_ *)
% 1.06/1.31 assert (zenon_L204_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp23)\/(hskp27)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H18d zenon_Hb3 zenon_Hfc zenon_Hd zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H92 zenon_Hdd zenon_H12f zenon_H114 zenon_Hcb zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e0 zenon_H144 zenon_H5 zenon_H18b zenon_H134 zenon_H133 zenon_H132 zenon_Ha2 zenon_Hef.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.06/1.31 apply (zenon_L201_); trivial.
% 1.06/1.31 apply (zenon_L72_); trivial.
% 1.06/1.31 (* end of lemma zenon_L204_ *)
% 1.06/1.31 assert (zenon_L205_ : ((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> (~(hskp2)) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H9f zenon_H1e7 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H75.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H1e8 ].
% 1.06/1.31 apply (zenon_L71_); trivial.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H93 | zenon_intro zenon_H76 ].
% 1.06/1.31 apply (zenon_L43_); trivial.
% 1.06/1.31 exact (zenon_H75 zenon_H76).
% 1.06/1.31 (* end of lemma zenon_L205_ *)
% 1.06/1.31 assert (zenon_L206_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H18d zenon_Ha2 zenon_H1e7 zenon_H75 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H66 zenon_H67 zenon_H68 zenon_H18b.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.06/1.31 apply (zenon_L120_); trivial.
% 1.06/1.31 apply (zenon_L205_); trivial.
% 1.06/1.31 (* end of lemma zenon_L206_ *)
% 1.06/1.31 assert (zenon_L207_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_Ha2 zenon_H18b zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H142 zenon_H75 zenon_H1e7 zenon_Hef.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.06/1.31 apply (zenon_L203_); trivial.
% 1.06/1.31 apply (zenon_L206_); trivial.
% 1.06/1.31 (* end of lemma zenon_L207_ *)
% 1.06/1.31 assert (zenon_L208_ : (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (~(c1_1 (a2541))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31)))))) -> (~(c2_1 (a2541))) -> (c3_1 (a2541)) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H23 zenon_H12 zenon_H180 zenon_H102 zenon_H181 zenon_H182.
% 1.06/1.31 generalize (zenon_H23 (a2541)). zenon_intro zenon_H1ec.
% 1.06/1.31 apply (zenon_imply_s _ _ zenon_H1ec); [ zenon_intro zenon_H11 | zenon_intro zenon_H1ed ].
% 1.06/1.31 exact (zenon_H11 zenon_H12).
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H186 | zenon_intro zenon_H1ee ].
% 1.06/1.31 exact (zenon_H180 zenon_H186).
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1ef | zenon_intro zenon_H187 ].
% 1.06/1.31 generalize (zenon_H102 (a2541)). zenon_intro zenon_H1f0.
% 1.06/1.31 apply (zenon_imply_s _ _ zenon_H1f0); [ zenon_intro zenon_H11 | zenon_intro zenon_H1f1 ].
% 1.06/1.31 exact (zenon_H11 zenon_H12).
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H185 ].
% 1.06/1.31 exact (zenon_H1ef zenon_H1f2).
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H188 | zenon_intro zenon_H187 ].
% 1.06/1.31 exact (zenon_H181 zenon_H188).
% 1.06/1.31 exact (zenon_H187 zenon_H182).
% 1.06/1.31 exact (zenon_H187 zenon_H182).
% 1.06/1.31 (* end of lemma zenon_L208_ *)
% 1.06/1.31 assert (zenon_L209_ : ((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> (~(c0_1 (a2549))) -> (~(c1_1 (a2549))) -> (c2_1 (a2549)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (~(c1_1 (a2555))) -> (c0_1 (a2555)) -> (c2_1 (a2555)) -> False).
% 1.06/1.31 do 0 intro. intros zenon_H173 zenon_H1f3 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H1b3 zenon_H182 zenon_H181 zenon_H180 zenon_Ha4 zenon_Ha5 zenon_Ha6 zenon_H1ea zenon_H94 zenon_H95 zenon_H96.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H1f4 ].
% 1.06/1.31 apply (zenon_L47_); trivial.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H55 | zenon_intro zenon_H93 ].
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H1eb ].
% 1.06/1.31 apply (zenon_L47_); trivial.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H23 | zenon_intro zenon_H1d6 ].
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H102 | zenon_intro zenon_H1b6 ].
% 1.06/1.31 apply (zenon_L208_); trivial.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H93 | zenon_intro zenon_H14a ].
% 1.06/1.31 apply (zenon_L43_); trivial.
% 1.06/1.31 apply (zenon_L113_); trivial.
% 1.06/1.31 apply (zenon_L176_); trivial.
% 1.06/1.31 apply (zenon_L43_); trivial.
% 1.06/1.31 (* end of lemma zenon_L209_ *)
% 1.06/1.31 assert (zenon_L210_ : ((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(c1_1 (a2541))) -> (~(c2_1 (a2541))) -> (c3_1 (a2541)) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> False).
% 1.06/1.31 do 0 intro. intros zenon_Had zenon_Ha2 zenon_H177 zenon_H1f3 zenon_H1b3 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1ea zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H180 zenon_H181 zenon_H182 zenon_H66 zenon_H67 zenon_H68 zenon_H18b.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.06/1.31 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.06/1.31 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.06/1.31 apply (zenon_L120_); trivial.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.06/1.32 apply (zenon_L148_); trivial.
% 1.06/1.32 apply (zenon_L209_); trivial.
% 1.06/1.32 (* end of lemma zenon_L210_ *)
% 1.06/1.32 assert (zenon_L211_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp23)\/(hskp27)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H18d zenon_Hb3 zenon_Ha2 zenon_H177 zenon_H1f3 zenon_H1b3 zenon_H1ea zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H66 zenon_H67 zenon_H68 zenon_H18b zenon_H92 zenon_Hdd zenon_H12f zenon_H114 zenon_Hcb zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e0 zenon_He8 zenon_Heb zenon_Hef.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.06/1.32 apply (zenon_L182_); trivial.
% 1.06/1.32 apply (zenon_L210_); trivial.
% 1.06/1.32 (* end of lemma zenon_L211_ *)
% 1.06/1.32 assert (zenon_L212_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> (~(hskp2)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.06/1.32 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_Hb3 zenon_Ha2 zenon_H177 zenon_H1f3 zenon_H1b3 zenon_H1ea zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H18b zenon_H92 zenon_H12f zenon_H114 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e0 zenon_He8 zenon_Heb zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H75 zenon_H142 zenon_Hef.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.06/1.32 apply (zenon_L101_); trivial.
% 1.06/1.32 apply (zenon_L211_); trivial.
% 1.06/1.32 (* end of lemma zenon_L212_ *)
% 1.06/1.32 assert (zenon_L213_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((hskp6)\/((hskp19)\/(hskp16))) -> (~(hskp6)) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.06/1.32 do 0 intro. intros zenon_Hfe zenon_Hb9 zenon_H190 zenon_Ha2 zenon_H18b zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H142 zenon_H75 zenon_H1e7 zenon_Hef zenon_H7 zenon_H1 zenon_H120 zenon_H121 zenon_H122 zenon_H5f zenon_H129 zenon_H74.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.06/1.32 apply (zenon_L85_); trivial.
% 1.06/1.32 apply (zenon_L207_); trivial.
% 1.06/1.32 (* end of lemma zenon_L213_ *)
% 1.06/1.32 assert (zenon_L214_ : ((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp6)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> (~(hskp2)) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H12b zenon_H101 zenon_H1e7 zenon_H74 zenon_H129 zenon_H5f zenon_H1 zenon_H7 zenon_Hef zenon_H142 zenon_H75 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_Hdd zenon_Heb zenon_H1e0 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H114 zenon_H12f zenon_H92 zenon_H18b zenon_H1bc zenon_H1ea zenon_H1b3 zenon_H1f3 zenon_H177 zenon_Ha2 zenon_Hb3 zenon_H190 zenon_Hb9.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.06/1.32 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.06/1.32 apply (zenon_L85_); trivial.
% 1.06/1.32 apply (zenon_L212_); trivial.
% 1.06/1.32 apply (zenon_L213_); trivial.
% 1.06/1.32 (* end of lemma zenon_L214_ *)
% 1.06/1.32 assert (zenon_L215_ : ((~(hskp9))\/((ndr1_0)/\((c1_1 (a2526))/\((c3_1 (a2526))/\(~(c0_1 (a2526))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/((hskp6)\/(hskp20))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((hskp23)\/(hskp27)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((hskp6)\/((hskp19)\/(hskp16))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> (~(hskp4)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp9)\/(hskp4))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531))))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a2528))/\((~(c0_1 (a2528)))/\(~(c1_1 (a2528))))))) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H1f5 zenon_H1b9 zenon_H1b7 zenon_H1b3 zenon_H1a2 zenon_H63 zenon_H7f zenon_H9d zenon_H177 zenon_H174 zenon_H163 zenon_H152 zenon_H157 zenon_H189 zenon_H1ea zenon_H148 zenon_H1e9 zenon_H144 zenon_Ha2 zenon_H18b zenon_H190 zenon_H1f3 zenon_H1bc zenon_H1d5 zenon_H101 zenon_Hfc zenon_Hf0 zenon_Hc5 zenon_Hef zenon_Heb zenon_Hcb zenon_Hd9 zenon_Hdd zenon_Hba zenon_Hb3 zenon_Hae zenon_H1e0 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H8e zenon_H92 zenon_H7 zenon_H1 zenon_Hf zenon_Hd zenon_H3e zenon_H3a zenon_H21 zenon_H49 zenon_H4b zenon_H51 zenon_H54 zenon_H74 zenon_H5f zenon_H6f zenon_Hb9 zenon_H142 zenon_H75 zenon_H1e7 zenon_H114 zenon_H12f zenon_H11d zenon_H1e5 zenon_H129 zenon_H12e zenon_H1d4.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.06/1.32 apply (zenon_L180_); trivial.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.06/1.32 apply (zenon_L191_); trivial.
% 1.06/1.32 apply (zenon_L87_); trivial.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.06/1.32 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.06/1.32 apply (zenon_L198_); trivial.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.06/1.32 apply (zenon_L4_); trivial.
% 1.06/1.32 apply (zenon_L202_); trivial.
% 1.06/1.32 apply (zenon_L123_); trivial.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.06/1.32 apply (zenon_L203_); trivial.
% 1.06/1.32 apply (zenon_L204_); trivial.
% 1.06/1.32 apply (zenon_L207_); trivial.
% 1.06/1.32 apply (zenon_L147_); trivial.
% 1.06/1.32 apply (zenon_L214_); trivial.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.06/1.32 apply (zenon_L191_); trivial.
% 1.06/1.32 apply (zenon_L214_); trivial.
% 1.06/1.32 (* end of lemma zenon_L215_ *)
% 1.06/1.32 assert (zenon_L216_ : (forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))) -> (ndr1_0) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H1f9 zenon_H12 zenon_H1fa zenon_H1fb zenon_H1fc.
% 1.06/1.32 generalize (zenon_H1f9 (a2524)). zenon_intro zenon_H1fd.
% 1.06/1.32 apply (zenon_imply_s _ _ zenon_H1fd); [ zenon_intro zenon_H11 | zenon_intro zenon_H1fe ].
% 1.06/1.32 exact (zenon_H11 zenon_H12).
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H200 | zenon_intro zenon_H1ff ].
% 1.06/1.32 exact (zenon_H1fa zenon_H200).
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H202 | zenon_intro zenon_H201 ].
% 1.06/1.32 exact (zenon_H202 zenon_H1fb).
% 1.06/1.32 exact (zenon_H201 zenon_H1fc).
% 1.06/1.32 (* end of lemma zenon_L216_ *)
% 1.06/1.32 assert (zenon_L217_ : ((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(hskp6)) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H4d zenon_H203 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H1.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H12. zenon_intro zenon_H4e.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H40. zenon_intro zenon_H4f.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H41. zenon_intro zenon_H42.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H204 ].
% 1.06/1.32 apply (zenon_L216_); trivial.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H3f | zenon_intro zenon_H2 ].
% 1.06/1.32 apply (zenon_L19_); trivial.
% 1.06/1.32 exact (zenon_H1 zenon_H2).
% 1.06/1.32 (* end of lemma zenon_L217_ *)
% 1.06/1.32 assert (zenon_L218_ : ((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H1b8 zenon_H51 zenon_H203 zenon_H1 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H49 zenon_Hc5.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ].
% 1.06/1.32 apply (zenon_L53_); trivial.
% 1.06/1.32 apply (zenon_L217_); trivial.
% 1.06/1.32 (* end of lemma zenon_L218_ *)
% 1.06/1.32 assert (zenon_L219_ : (forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))) -> (ndr1_0) -> (c1_1 (a2526)) -> (forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28)))))) -> (~(c0_1 (a2526))) -> (c3_1 (a2526)) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H159 zenon_H12 zenon_H133 zenon_Hbb zenon_H132 zenon_H134.
% 1.06/1.32 generalize (zenon_H159 (a2526)). zenon_intro zenon_H205.
% 1.06/1.32 apply (zenon_imply_s _ _ zenon_H205); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ].
% 1.06/1.32 exact (zenon_H11 zenon_H12).
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H13a | zenon_intro zenon_H207 ].
% 1.06/1.32 exact (zenon_H13a zenon_H133).
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H208 | zenon_intro zenon_H139 ].
% 1.06/1.32 generalize (zenon_Hbb (a2526)). zenon_intro zenon_H209.
% 1.06/1.32 apply (zenon_imply_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H20a ].
% 1.06/1.32 exact (zenon_H11 zenon_H12).
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H138 | zenon_intro zenon_H20b ].
% 1.06/1.32 exact (zenon_H132 zenon_H138).
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H20c | zenon_intro zenon_H13a ].
% 1.06/1.32 exact (zenon_H208 zenon_H20c).
% 1.06/1.32 exact (zenon_H13a zenon_H133).
% 1.06/1.32 exact (zenon_H139 zenon_H134).
% 1.06/1.32 (* end of lemma zenon_L219_ *)
% 1.06/1.32 assert (zenon_L220_ : ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp18)) -> (ndr1_0) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (c3_1 (a2526)) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (~(hskp28)) -> (~(hskp3)) -> False).
% 1.06/1.32 do 0 intro. intros zenon_Hc5 zenon_Hb zenon_H12 zenon_H133 zenon_H132 zenon_H134 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H37 zenon_H49.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hc6 ].
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H20e ].
% 1.06/1.32 apply (zenon_L216_); trivial.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H159 | zenon_intro zenon_Hc ].
% 1.06/1.32 apply (zenon_L219_); trivial.
% 1.06/1.32 exact (zenon_Hb zenon_Hc).
% 1.06/1.32 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H38 | zenon_intro zenon_H4a ].
% 1.06/1.32 exact (zenon_H37 zenon_H38).
% 1.06/1.32 exact (zenon_H49 zenon_H4a).
% 1.06/1.32 (* end of lemma zenon_L220_ *)
% 1.06/1.32 assert (zenon_L221_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (~(hskp18)) -> (c3_1 (a2526)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (ndr1_0) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H51 zenon_H203 zenon_H1 zenon_H20d zenon_Hb zenon_H134 zenon_H132 zenon_H133 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H12 zenon_H49 zenon_Hc5.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ].
% 1.06/1.32 apply (zenon_L220_); trivial.
% 1.06/1.32 apply (zenon_L217_); trivial.
% 1.06/1.32 (* end of lemma zenon_L221_ *)
% 1.06/1.32 assert (zenon_L222_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> (~(hskp15)) -> (~(hskp4)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> (ndr1_0) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (c3_1 (a2526)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (~(hskp6)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> False).
% 1.06/1.32 do 0 intro. intros zenon_Hba zenon_H63 zenon_H61 zenon_H5f zenon_Hc5 zenon_H49 zenon_H12 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H133 zenon_H132 zenon_H134 zenon_H20d zenon_H1 zenon_H203 zenon_H51.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.06/1.32 apply (zenon_L221_); trivial.
% 1.06/1.32 apply (zenon_L97_); trivial.
% 1.06/1.32 (* end of lemma zenon_L222_ *)
% 1.06/1.32 assert (zenon_L223_ : ((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(hskp18)) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H173 zenon_H20d zenon_H1fc zenon_H1fb zenon_H1fa zenon_Hb.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H20e ].
% 1.06/1.32 apply (zenon_L216_); trivial.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H159 | zenon_intro zenon_Hc ].
% 1.06/1.32 apply (zenon_L106_); trivial.
% 1.06/1.32 exact (zenon_Hb zenon_Hc).
% 1.06/1.32 (* end of lemma zenon_L223_ *)
% 1.06/1.32 assert (zenon_L224_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (~(hskp18)) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (ndr1_0) -> (~(c1_1 (a2541))) -> (~(c2_1 (a2541))) -> (c3_1 (a2541)) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H177 zenon_H20d zenon_Hb zenon_H1fc zenon_H1fb zenon_H1fa zenon_H12 zenon_H180 zenon_H181 zenon_H182 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.06/1.32 apply (zenon_L148_); trivial.
% 1.06/1.32 apply (zenon_L223_); trivial.
% 1.06/1.32 (* end of lemma zenon_L224_ *)
% 1.06/1.32 assert (zenon_L225_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H18d zenon_Hba zenon_Ha2 zenon_H92 zenon_H8e zenon_H8b zenon_H49 zenon_H9d zenon_H66 zenon_H67 zenon_H68 zenon_H18b zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H177.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.06/1.32 apply (zenon_L224_); trivial.
% 1.06/1.32 apply (zenon_L121_); trivial.
% 1.06/1.32 (* end of lemma zenon_L225_ *)
% 1.06/1.32 assert (zenon_L226_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> (~(hskp2)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.06/1.32 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_Hba zenon_Ha2 zenon_H92 zenon_H8e zenon_H8b zenon_H49 zenon_H9d zenon_H18b zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H177 zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H75 zenon_H142 zenon_Hef.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.06/1.32 apply (zenon_L101_); trivial.
% 1.06/1.32 apply (zenon_L225_); trivial.
% 1.06/1.32 (* end of lemma zenon_L226_ *)
% 1.06/1.32 assert (zenon_L227_ : ((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp6)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> (~(hskp2)) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H12b zenon_H1d5 zenon_H51 zenon_H203 zenon_Hc5 zenon_H74 zenon_H129 zenon_H5f zenon_H1 zenon_H7 zenon_Hef zenon_H142 zenon_H75 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_Hdd zenon_H177 zenon_H20d zenon_H1fc zenon_H1fb zenon_H1fa zenon_H1bc zenon_H18b zenon_H9d zenon_H49 zenon_H8e zenon_H92 zenon_Ha2 zenon_Hba zenon_H190 zenon_Hb9.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.06/1.32 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.06/1.32 apply (zenon_L85_); trivial.
% 1.06/1.32 apply (zenon_L226_); trivial.
% 1.06/1.32 apply (zenon_L218_); trivial.
% 1.06/1.32 (* end of lemma zenon_L227_ *)
% 1.06/1.32 assert (zenon_L228_ : (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31)))))) -> (ndr1_0) -> (~(c0_1 (a2524))) -> (~(c2_1 (a2524))) -> (c3_1 (a2524)) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H102 zenon_H12 zenon_H20f zenon_H1fa zenon_H1fc.
% 1.06/1.32 generalize (zenon_H102 (a2524)). zenon_intro zenon_H210.
% 1.06/1.32 apply (zenon_imply_s _ _ zenon_H210); [ zenon_intro zenon_H11 | zenon_intro zenon_H211 ].
% 1.06/1.32 exact (zenon_H11 zenon_H12).
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H213 | zenon_intro zenon_H212 ].
% 1.06/1.32 exact (zenon_H20f zenon_H213).
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H200 | zenon_intro zenon_H201 ].
% 1.06/1.32 exact (zenon_H1fa zenon_H200).
% 1.06/1.32 exact (zenon_H201 zenon_H1fc).
% 1.06/1.32 (* end of lemma zenon_L228_ *)
% 1.06/1.32 assert (zenon_L229_ : (forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))) -> (ndr1_0) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31)))))) -> (~(c2_1 (a2524))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H14a zenon_H12 zenon_H102 zenon_H1fa zenon_H1fc zenon_H1fb.
% 1.06/1.32 generalize (zenon_H14a (a2524)). zenon_intro zenon_H214.
% 1.06/1.32 apply (zenon_imply_s _ _ zenon_H214); [ zenon_intro zenon_H11 | zenon_intro zenon_H215 ].
% 1.06/1.32 exact (zenon_H11 zenon_H12).
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H20f | zenon_intro zenon_H1ff ].
% 1.06/1.32 apply (zenon_L228_); trivial.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H202 | zenon_intro zenon_H201 ].
% 1.06/1.32 exact (zenon_H202 zenon_H1fb).
% 1.06/1.32 exact (zenon_H201 zenon_H1fc).
% 1.06/1.32 (* end of lemma zenon_L229_ *)
% 1.06/1.32 assert (zenon_L230_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> (~(c2_1 (a2524))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31)))))) -> (ndr1_0) -> (c0_1 (a2529)) -> (c2_1 (a2529)) -> (c3_1 (a2529)) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H216 zenon_H105 zenon_H103 zenon_H1fb zenon_H1fc zenon_H1fa zenon_H102 zenon_H12 zenon_H40 zenon_H41 zenon_H42.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H217 ].
% 1.06/1.32 apply (zenon_L183_); trivial.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H14a | zenon_intro zenon_H3f ].
% 1.06/1.32 apply (zenon_L229_); trivial.
% 1.06/1.32 apply (zenon_L19_); trivial.
% 1.06/1.32 (* end of lemma zenon_L230_ *)
% 1.06/1.32 assert (zenon_L231_ : ((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(c2_1 (a2524))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> (~(hskp11)) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H4d zenon_H11d zenon_H1fa zenon_H1fc zenon_H1fb zenon_H103 zenon_H105 zenon_H216 zenon_H182 zenon_H181 zenon_H180 zenon_H11b.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H12. zenon_intro zenon_H4e.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H40. zenon_intro zenon_H4f.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H41. zenon_intro zenon_H42.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H102 | zenon_intro zenon_H11e ].
% 1.06/1.32 apply (zenon_L230_); trivial.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H118 | zenon_intro zenon_H11c ].
% 1.06/1.32 apply (zenon_L115_); trivial.
% 1.06/1.32 exact (zenon_H11b zenon_H11c).
% 1.06/1.32 (* end of lemma zenon_L231_ *)
% 1.06/1.32 assert (zenon_L232_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (~(hskp18)) -> (c3_1 (a2526)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (ndr1_0) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H51 zenon_H11d zenon_H11b zenon_H182 zenon_H181 zenon_H180 zenon_H103 zenon_H105 zenon_H216 zenon_H20d zenon_Hb zenon_H134 zenon_H132 zenon_H133 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H12 zenon_H49 zenon_Hc5.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ].
% 1.06/1.32 apply (zenon_L220_); trivial.
% 1.06/1.32 apply (zenon_L231_); trivial.
% 1.06/1.32 (* end of lemma zenon_L232_ *)
% 1.06/1.32 assert (zenon_L233_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((hskp21)\/((hskp2)\/(hskp20))) -> (~(hskp2)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (c3_1 (a2526)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H18d zenon_Hba zenon_Hb3 zenon_Hae zenon_H79 zenon_H75 zenon_H92 zenon_H8e zenon_H8b zenon_H7f zenon_H9d zenon_Ha2 zenon_H54 zenon_Hc5 zenon_H49 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H133 zenon_H132 zenon_H134 zenon_H20d zenon_H216 zenon_H105 zenon_H103 zenon_H11b zenon_H11d zenon_H51.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.06/1.32 apply (zenon_L232_); trivial.
% 1.06/1.32 apply (zenon_L49_); trivial.
% 1.06/1.32 (* end of lemma zenon_L233_ *)
% 1.06/1.32 assert (zenon_L234_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> (~(c2_1 (a2524))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31)))))) -> (ndr1_0) -> (~(hskp14)) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H218 zenon_H105 zenon_H103 zenon_H1fb zenon_H1fc zenon_H1fa zenon_H102 zenon_H12 zenon_He8.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H219 ].
% 1.06/1.32 apply (zenon_L183_); trivial.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H14a | zenon_intro zenon_He9 ].
% 1.06/1.32 apply (zenon_L229_); trivial.
% 1.06/1.32 exact (zenon_He8 zenon_He9).
% 1.06/1.32 (* end of lemma zenon_L234_ *)
% 1.06/1.32 assert (zenon_L235_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp14)) -> (~(c2_1 (a2524))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp11)) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H18d zenon_H11d zenon_He8 zenon_H1fa zenon_H1fc zenon_H1fb zenon_H103 zenon_H105 zenon_H218 zenon_H11b.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H102 | zenon_intro zenon_H11e ].
% 1.06/1.32 apply (zenon_L234_); trivial.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H118 | zenon_intro zenon_H11c ].
% 1.06/1.32 apply (zenon_L115_); trivial.
% 1.06/1.32 exact (zenon_H11b zenon_H11c).
% 1.06/1.32 (* end of lemma zenon_L235_ *)
% 1.06/1.32 assert (zenon_L236_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c2_1 (a2524))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(hskp14)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> (~(hskp2)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.06/1.32 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_H11d zenon_H11b zenon_H103 zenon_H105 zenon_H1fa zenon_H1fc zenon_H1fb zenon_He8 zenon_H218 zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H75 zenon_H142 zenon_Hef.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.06/1.32 apply (zenon_L101_); trivial.
% 1.06/1.32 apply (zenon_L235_); trivial.
% 1.06/1.32 (* end of lemma zenon_L236_ *)
% 1.06/1.32 assert (zenon_L237_ : (forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52)))))) -> (ndr1_0) -> (~(c0_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H131 zenon_H12 zenon_H20f zenon_H1fb zenon_H1fc.
% 1.06/1.32 generalize (zenon_H131 (a2524)). zenon_intro zenon_H21a.
% 1.06/1.32 apply (zenon_imply_s _ _ zenon_H21a); [ zenon_intro zenon_H11 | zenon_intro zenon_H21b ].
% 1.06/1.32 exact (zenon_H11 zenon_H12).
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H213 | zenon_intro zenon_H1ff ].
% 1.06/1.32 exact (zenon_H20f zenon_H213).
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H202 | zenon_intro zenon_H201 ].
% 1.06/1.32 exact (zenon_H202 zenon_H1fb).
% 1.06/1.32 exact (zenon_H201 zenon_H1fc).
% 1.06/1.32 (* end of lemma zenon_L237_ *)
% 1.06/1.32 assert (zenon_L238_ : (forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))) -> (ndr1_0) -> (~(c2_1 (a2524))) -> (forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52)))))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H13 zenon_H12 zenon_H1fa zenon_H131 zenon_H1fb zenon_H1fc.
% 1.06/1.32 generalize (zenon_H13 (a2524)). zenon_intro zenon_H21c.
% 1.06/1.32 apply (zenon_imply_s _ _ zenon_H21c); [ zenon_intro zenon_H11 | zenon_intro zenon_H21d ].
% 1.06/1.32 exact (zenon_H11 zenon_H12).
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H200 | zenon_intro zenon_H21e ].
% 1.06/1.32 exact (zenon_H1fa zenon_H200).
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_H20f | zenon_intro zenon_H202 ].
% 1.06/1.32 apply (zenon_L237_); trivial.
% 1.06/1.32 exact (zenon_H202 zenon_H1fb).
% 1.06/1.32 (* end of lemma zenon_L238_ *)
% 1.06/1.32 assert (zenon_L239_ : ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52)))))) -> (~(c2_1 (a2524))) -> (ndr1_0) -> (~(hskp24)) -> (~(hskp25)) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H7f zenon_H1fc zenon_H1fb zenon_H131 zenon_H1fa zenon_H12 zenon_H7b zenon_H7d.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H13 | zenon_intro zenon_H80 ].
% 1.06/1.32 apply (zenon_L238_); trivial.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H7c | zenon_intro zenon_H7e ].
% 1.06/1.32 exact (zenon_H7b zenon_H7c).
% 1.06/1.32 exact (zenon_H7d zenon_H7e).
% 1.06/1.32 (* end of lemma zenon_L239_ *)
% 1.06/1.32 assert (zenon_L240_ : ((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp25)) -> (~(hskp24)) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(hskp17)) -> False).
% 1.06/1.32 do 0 intro. intros zenon_Hd8 zenon_H148 zenon_H7d zenon_H7b zenon_H1fa zenon_H1fb zenon_H1fc zenon_H7f zenon_H146.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H12. zenon_intro zenon_Hda.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_Hcf. zenon_intro zenon_Hdb.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hcd. zenon_intro zenon_Hce.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H131 | zenon_intro zenon_H149 ].
% 1.06/1.32 apply (zenon_L239_); trivial.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hcc | zenon_intro zenon_H147 ].
% 1.06/1.32 apply (zenon_L59_); trivial.
% 1.06/1.32 exact (zenon_H146 zenon_H147).
% 1.06/1.32 (* end of lemma zenon_L240_ *)
% 1.06/1.32 assert (zenon_L241_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> (~(hskp24)) -> (~(hskp25)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(hskp23)) -> ((hskp23)\/(hskp27)) -> False).
% 1.06/1.32 do 0 intro. intros zenon_Hdd zenon_H148 zenon_H146 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H7b zenon_H7d zenon_H7f zenon_Hc7 zenon_Hcb.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hd8 ].
% 1.06/1.32 apply (zenon_L58_); trivial.
% 1.06/1.32 apply (zenon_L240_); trivial.
% 1.06/1.32 (* end of lemma zenon_L241_ *)
% 1.06/1.32 assert (zenon_L242_ : (forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))) -> (ndr1_0) -> (~(c2_1 (a2524))) -> (forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52)))))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H21f zenon_H12 zenon_H1fa zenon_H131 zenon_H1fb zenon_H1fc.
% 1.06/1.32 generalize (zenon_H21f (a2524)). zenon_intro zenon_H220.
% 1.06/1.32 apply (zenon_imply_s _ _ zenon_H220); [ zenon_intro zenon_H11 | zenon_intro zenon_H221 ].
% 1.06/1.32 exact (zenon_H11 zenon_H12).
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H200 | zenon_intro zenon_H222 ].
% 1.06/1.32 exact (zenon_H1fa zenon_H200).
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H201 ].
% 1.06/1.32 apply (zenon_L237_); trivial.
% 1.06/1.32 exact (zenon_H201 zenon_H1fc).
% 1.06/1.32 (* end of lemma zenon_L242_ *)
% 1.06/1.32 assert (zenon_L243_ : ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c0_1 (a2564)) -> (~(c2_1 (a2564))) -> (~(c1_1 (a2564))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31)))))) -> (~(c1_1 (a2528))) -> (ndr1_0) -> (~(c2_1 (a2524))) -> (forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52)))))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H223 zenon_H84 zenon_H83 zenon_H82 zenon_H105 zenon_H103 zenon_H102 zenon_H10d zenon_H12 zenon_H1fa zenon_H131 zenon_H1fb zenon_H1fc.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H81 | zenon_intro zenon_H224 ].
% 1.06/1.32 apply (zenon_L39_); trivial.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H10c | zenon_intro zenon_H21f ].
% 1.06/1.32 apply (zenon_L76_); trivial.
% 1.06/1.32 apply (zenon_L242_); trivial.
% 1.06/1.32 (* end of lemma zenon_L243_ *)
% 1.06/1.32 assert (zenon_L244_ : ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(c1_1 (a2528))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31)))))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c1_1 (a2564))) -> (~(c2_1 (a2564))) -> (c0_1 (a2564)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c1_1 (a2614)) -> (~(c3_1 (a2614))) -> (~(c2_1 (a2614))) -> (ndr1_0) -> (~(hskp17)) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H148 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H10d zenon_H102 zenon_H103 zenon_H105 zenon_H82 zenon_H83 zenon_H84 zenon_H223 zenon_Hcf zenon_Hce zenon_Hcd zenon_H12 zenon_H146.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H131 | zenon_intro zenon_H149 ].
% 1.06/1.32 apply (zenon_L243_); trivial.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hcc | zenon_intro zenon_H147 ].
% 1.06/1.32 apply (zenon_L59_); trivial.
% 1.06/1.32 exact (zenon_H146 zenon_H147).
% 1.06/1.32 (* end of lemma zenon_L244_ *)
% 1.06/1.32 assert (zenon_L245_ : ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c0_1 (a2564)) -> (~(c2_1 (a2564))) -> (~(c1_1 (a2564))) -> (c3_1 (a2528)) -> (~(c1_1 (a2528))) -> (forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32)))))) -> (ndr1_0) -> (~(c2_1 (a2524))) -> (forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52)))))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H223 zenon_H84 zenon_H83 zenon_H82 zenon_H105 zenon_H10d zenon_H118 zenon_H12 zenon_H1fa zenon_H131 zenon_H1fb zenon_H1fc.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H81 | zenon_intro zenon_H224 ].
% 1.06/1.32 apply (zenon_L39_); trivial.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H10c | zenon_intro zenon_H21f ].
% 1.06/1.32 apply (zenon_L80_); trivial.
% 1.06/1.32 apply (zenon_L242_); trivial.
% 1.06/1.32 (* end of lemma zenon_L245_ *)
% 1.06/1.32 assert (zenon_L246_ : ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32)))))) -> (~(c1_1 (a2528))) -> (c3_1 (a2528)) -> (~(c1_1 (a2564))) -> (~(c2_1 (a2564))) -> (c0_1 (a2564)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c1_1 (a2614)) -> (~(c3_1 (a2614))) -> (~(c2_1 (a2614))) -> (ndr1_0) -> (~(hskp17)) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H148 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H118 zenon_H10d zenon_H105 zenon_H82 zenon_H83 zenon_H84 zenon_H223 zenon_Hcf zenon_Hce zenon_Hcd zenon_H12 zenon_H146.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H131 | zenon_intro zenon_H149 ].
% 1.06/1.32 apply (zenon_L245_); trivial.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hcc | zenon_intro zenon_H147 ].
% 1.06/1.32 apply (zenon_L59_); trivial.
% 1.06/1.32 exact (zenon_H146 zenon_H147).
% 1.06/1.32 (* end of lemma zenon_L246_ *)
% 1.06/1.32 assert (zenon_L247_ : ((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(c0_1 (a2528))) -> (~(hskp17)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c0_1 (a2564)) -> (~(c2_1 (a2564))) -> (~(c1_1 (a2564))) -> (c3_1 (a2528)) -> (~(c1_1 (a2528))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp11)) -> False).
% 1.06/1.32 do 0 intro. intros zenon_Hd8 zenon_H11d zenon_H103 zenon_H146 zenon_H223 zenon_H84 zenon_H83 zenon_H82 zenon_H105 zenon_H10d zenon_H1fa zenon_H1fb zenon_H1fc zenon_H148 zenon_H11b.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H12. zenon_intro zenon_Hda.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_Hcf. zenon_intro zenon_Hdb.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hcd. zenon_intro zenon_Hce.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H102 | zenon_intro zenon_H11e ].
% 1.06/1.32 apply (zenon_L244_); trivial.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H118 | zenon_intro zenon_H11c ].
% 1.06/1.32 apply (zenon_L246_); trivial.
% 1.06/1.32 exact (zenon_H11b zenon_H11c).
% 1.06/1.32 (* end of lemma zenon_L247_ *)
% 1.06/1.32 assert (zenon_L248_ : ((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp23)) -> ((hskp23)\/(hskp27)) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H8d zenon_Hdd zenon_H11d zenon_H11b zenon_H223 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H105 zenon_H103 zenon_H10d zenon_H146 zenon_H148 zenon_Hc7 zenon_Hcb.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H12. zenon_intro zenon_H8f.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H84. zenon_intro zenon_H90.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H82. zenon_intro zenon_H83.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hd8 ].
% 1.06/1.32 apply (zenon_L58_); trivial.
% 1.06/1.32 apply (zenon_L247_); trivial.
% 1.06/1.32 (* end of lemma zenon_L248_ *)
% 1.06/1.32 assert (zenon_L249_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> ((hskp23)\/(hskp27)) -> (~(hskp23)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(hskp24)) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H92 zenon_H11d zenon_H11b zenon_H223 zenon_H105 zenon_H103 zenon_H10d zenon_Hcb zenon_Hc7 zenon_H7f zenon_H7b zenon_H1fc zenon_H1fb zenon_H1fa zenon_H146 zenon_H148 zenon_Hdd.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.06/1.32 apply (zenon_L241_); trivial.
% 1.06/1.32 apply (zenon_L248_); trivial.
% 1.06/1.32 (* end of lemma zenon_L249_ *)
% 1.06/1.32 assert (zenon_L250_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> ((hskp23)\/(hskp27)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> False).
% 1.06/1.32 do 0 intro. intros zenon_Hef zenon_H142 zenon_H92 zenon_H11d zenon_H11b zenon_H223 zenon_H105 zenon_H103 zenon_H10d zenon_Hcb zenon_H7f zenon_H1fc zenon_H1fb zenon_H1fa zenon_H146 zenon_H148 zenon_Hdd zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H75 zenon_H1e7 zenon_Ha2.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.06/1.32 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.06/1.32 apply (zenon_L249_); trivial.
% 1.06/1.32 apply (zenon_L205_); trivial.
% 1.06/1.32 apply (zenon_L188_); trivial.
% 1.06/1.32 (* end of lemma zenon_L250_ *)
% 1.06/1.32 assert (zenon_L251_ : (forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))) -> (ndr1_0) -> (~(c2_1 (a2524))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31)))))) -> (c3_1 (a2524)) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H21f zenon_H12 zenon_H1fa zenon_H102 zenon_H1fc.
% 1.06/1.32 generalize (zenon_H21f (a2524)). zenon_intro zenon_H220.
% 1.06/1.32 apply (zenon_imply_s _ _ zenon_H220); [ zenon_intro zenon_H11 | zenon_intro zenon_H221 ].
% 1.06/1.32 exact (zenon_H11 zenon_H12).
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H200 | zenon_intro zenon_H222 ].
% 1.06/1.32 exact (zenon_H1fa zenon_H200).
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H201 ].
% 1.06/1.32 apply (zenon_L228_); trivial.
% 1.06/1.32 exact (zenon_H201 zenon_H1fc).
% 1.06/1.32 (* end of lemma zenon_L251_ *)
% 1.06/1.32 assert (zenon_L252_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2524)) -> (~(c2_1 (a2524))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (~(c1_1 (a2541))) -> (~(c2_1 (a2541))) -> (c3_1 (a2541)) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> (~(hskp2)) -> (~(hskp20)) -> ((hskp21)\/((hskp2)\/(hskp20))) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H54 zenon_Ha2 zenon_H1e7 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H7f zenon_H223 zenon_H1fc zenon_H1fa zenon_H105 zenon_H103 zenon_H10d zenon_H180 zenon_H181 zenon_H182 zenon_H11b zenon_H11d zenon_H92 zenon_H75 zenon_H77 zenon_H79.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.06/1.32 apply (zenon_L35_); trivial.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.06/1.32 apply (zenon_L38_); trivial.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H12. zenon_intro zenon_H8f.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H84. zenon_intro zenon_H90.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H82. zenon_intro zenon_H83.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H102 | zenon_intro zenon_H11e ].
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H81 | zenon_intro zenon_H224 ].
% 1.06/1.32 apply (zenon_L39_); trivial.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H10c | zenon_intro zenon_H21f ].
% 1.06/1.32 apply (zenon_L76_); trivial.
% 1.06/1.32 apply (zenon_L251_); trivial.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H118 | zenon_intro zenon_H11c ].
% 1.06/1.32 apply (zenon_L115_); trivial.
% 1.06/1.32 exact (zenon_H11b zenon_H11c).
% 1.06/1.32 apply (zenon_L205_); trivial.
% 1.06/1.32 (* end of lemma zenon_L252_ *)
% 1.06/1.32 assert (zenon_L253_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp21)\/((hskp2)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp23)\/(hskp27)) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.06/1.32 do 0 intro. intros zenon_Hfe zenon_H190 zenon_Hb3 zenon_Hfc zenon_Hd zenon_H79 zenon_H54 zenon_Ha2 zenon_H1e7 zenon_H75 zenon_Hdd zenon_H148 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H7f zenon_Hcb zenon_H10d zenon_H103 zenon_H105 zenon_H223 zenon_H11b zenon_H11d zenon_H92 zenon_H142 zenon_Hef.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.06/1.32 apply (zenon_L250_); trivial.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.06/1.32 apply (zenon_L252_); trivial.
% 1.06/1.32 apply (zenon_L72_); trivial.
% 1.06/1.32 (* end of lemma zenon_L253_ *)
% 1.06/1.32 assert (zenon_L254_ : ((~(hskp9))\/((ndr1_0)/\((c1_1 (a2526))/\((c3_1 (a2526))/\(~(c0_1 (a2526))))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a2528))/\((~(c0_1 (a2528)))/\(~(c1_1 (a2528))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((hskp23)\/(hskp27)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp9)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> (~(hskp1)) -> ((hskp21)\/((hskp18)\/(hskp1))) -> (~(hskp6)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> (~(hskp2)) -> ((hskp21)\/((hskp2)\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534))))))) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H1f5 zenon_H1d4 zenon_H101 zenon_Hfc zenon_H1e7 zenon_H223 zenon_H216 zenon_H218 zenon_H63 zenon_H20d zenon_H190 zenon_H11d zenon_Hdd zenon_H148 zenon_Hcb zenon_H142 zenon_H144 zenon_Hef zenon_H189 zenon_H157 zenon_H152 zenon_H163 zenon_H174 zenon_H177 zenon_H18b zenon_H1b9 zenon_H1bc zenon_H129 zenon_H12e zenon_Hb9 zenon_H6f zenon_H5f zenon_H74 zenon_H54 zenon_H51 zenon_H4b zenon_H49 zenon_H21 zenon_H3a zenon_H3e zenon_Hd zenon_Hf zenon_H1 zenon_H7 zenon_Ha2 zenon_H9d zenon_H7f zenon_H8e zenon_H92 zenon_H75 zenon_H79 zenon_Hae zenon_Hb3 zenon_Hba zenon_Hc5 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H203 zenon_H1d5.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.06/1.32 apply (zenon_L51_); trivial.
% 1.06/1.32 apply (zenon_L218_); trivial.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.06/1.32 apply (zenon_L222_); trivial.
% 1.06/1.32 apply (zenon_L128_); trivial.
% 1.06/1.32 apply (zenon_L218_); trivial.
% 1.06/1.32 apply (zenon_L227_); trivial.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.06/1.32 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.06/1.32 apply (zenon_L124_); trivial.
% 1.06/1.32 apply (zenon_L233_); trivial.
% 1.06/1.32 apply (zenon_L236_); trivial.
% 1.06/1.32 apply (zenon_L253_); trivial.
% 1.06/1.32 apply (zenon_L218_); trivial.
% 1.06/1.32 apply (zenon_L227_); trivial.
% 1.06/1.32 (* end of lemma zenon_L254_ *)
% 1.06/1.32 assert (zenon_L255_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp23)\/(hskp27)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp2)) -> (~(hskp20)) -> ((hskp21)\/((hskp2)\/(hskp20))) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H54 zenon_Hef zenon_Heb zenon_He8 zenon_H92 zenon_Hdd zenon_H12f zenon_H114 zenon_Hcb zenon_H7f zenon_H9d zenon_H49 zenon_Ha2 zenon_H75 zenon_H77 zenon_H79.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.06/1.32 apply (zenon_L35_); trivial.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.06/1.32 apply (zenon_L92_); trivial.
% 1.06/1.32 apply (zenon_L65_); trivial.
% 1.06/1.32 (* end of lemma zenon_L255_ *)
% 1.06/1.32 assert (zenon_L256_ : (forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76)))))) -> (ndr1_0) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H154 zenon_H12 zenon_H225 zenon_H226 zenon_H227.
% 1.06/1.32 generalize (zenon_H154 (a2523)). zenon_intro zenon_H228.
% 1.06/1.32 apply (zenon_imply_s _ _ zenon_H228); [ zenon_intro zenon_H11 | zenon_intro zenon_H229 ].
% 1.06/1.32 exact (zenon_H11 zenon_H12).
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H22b | zenon_intro zenon_H22a ].
% 1.06/1.32 exact (zenon_H225 zenon_H22b).
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H22d | zenon_intro zenon_H22c ].
% 1.06/1.32 exact (zenon_H22d zenon_H226).
% 1.06/1.32 exact (zenon_H22c zenon_H227).
% 1.06/1.32 (* end of lemma zenon_L256_ *)
% 1.06/1.32 assert (zenon_L257_ : ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp10)) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H152 zenon_H227 zenon_H226 zenon_H225 zenon_H12 zenon_H150 zenon_Hd6.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H154 | zenon_intro zenon_H153 ].
% 1.06/1.32 apply (zenon_L256_); trivial.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_H151 | zenon_intro zenon_Hd7 ].
% 1.06/1.32 exact (zenon_H150 zenon_H151).
% 1.06/1.32 exact (zenon_Hd6 zenon_Hd7).
% 1.06/1.32 (* end of lemma zenon_L257_ *)
% 1.06/1.32 assert (zenon_L258_ : ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (c2_1 (a2558)) -> (c1_1 (a2558)) -> (c0_1 (a2558)) -> (c3_1 (a2556)) -> (c2_1 (a2556)) -> (c1_1 (a2556)) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5)))))) -> (ndr1_0) -> (~(hskp3)) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H4b zenon_H30 zenon_H2f zenon_H2e zenon_H15c zenon_H15b zenon_H15a zenon_H55 zenon_H12 zenon_H49.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2d | zenon_intro zenon_H4c ].
% 1.06/1.32 apply (zenon_L15_); trivial.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H3f | zenon_intro zenon_H4a ].
% 1.06/1.32 apply (zenon_L159_); trivial.
% 1.06/1.32 exact (zenon_H49 zenon_H4a).
% 1.06/1.32 (* end of lemma zenon_L258_ *)
% 1.06/1.32 assert (zenon_L259_ : ((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (c2_1 (a2549)) -> (~(c1_1 (a2549))) -> (~(c0_1 (a2549))) -> (c1_1 (a2556)) -> (c2_1 (a2556)) -> (c3_1 (a2556)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp3)) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H39 zenon_Hae zenon_Ha6 zenon_Ha5 zenon_Ha4 zenon_H15a zenon_H15b zenon_H15c zenon_H4b zenon_H49.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H12. zenon_intro zenon_H3b.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H2e. zenon_intro zenon_H3c.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H2f. zenon_intro zenon_H30.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hb1 ].
% 1.06/1.32 apply (zenon_L47_); trivial.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H55 | zenon_intro zenon_H4a ].
% 1.06/1.32 apply (zenon_L258_); trivial.
% 1.06/1.32 exact (zenon_H49 zenon_H4a).
% 1.06/1.32 (* end of lemma zenon_L259_ *)
% 1.06/1.32 assert (zenon_L260_ : ((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (c2_1 (a2549)) -> (~(c1_1 (a2549))) -> (~(c0_1 (a2549))) -> (~(hskp21)) -> (~(hskp26)) -> ((hskp30)\/((hskp21)\/(hskp26))) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H173 zenon_H3e zenon_Hae zenon_H49 zenon_H4b zenon_Ha6 zenon_Ha5 zenon_Ha4 zenon_H9 zenon_H1a0 zenon_H1a2.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H1d | zenon_intro zenon_H39 ].
% 1.06/1.32 apply (zenon_L139_); trivial.
% 1.06/1.32 apply (zenon_L259_); trivial.
% 1.06/1.32 (* end of lemma zenon_L260_ *)
% 1.06/1.32 assert (zenon_L261_ : (forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))) -> (ndr1_0) -> (~(c2_1 (a2601))) -> (forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32)))))) -> (c3_1 (a2601)) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H1f9 zenon_H12 zenon_H1a6 zenon_H118 zenon_H1a5.
% 1.06/1.32 generalize (zenon_H1f9 (a2601)). zenon_intro zenon_H22e.
% 1.06/1.32 apply (zenon_imply_s _ _ zenon_H22e); [ zenon_intro zenon_H11 | zenon_intro zenon_H22f ].
% 1.06/1.32 exact (zenon_H11 zenon_H12).
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H1ad ].
% 1.06/1.32 exact (zenon_H1a6 zenon_H1b1).
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1af ].
% 1.06/1.32 generalize (zenon_H118 (a2601)). zenon_intro zenon_H1a7.
% 1.06/1.32 apply (zenon_imply_s _ _ zenon_H1a7); [ zenon_intro zenon_H11 | zenon_intro zenon_H1a8 ].
% 1.06/1.32 exact (zenon_H11 zenon_H12).
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1a9 ].
% 1.06/1.32 exact (zenon_H1b0 zenon_H1aa).
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H1af ].
% 1.06/1.32 exact (zenon_H1a6 zenon_H1b1).
% 1.06/1.32 exact (zenon_H1af zenon_H1a5).
% 1.06/1.32 exact (zenon_H1af zenon_H1a5).
% 1.06/1.32 (* end of lemma zenon_L261_ *)
% 1.06/1.32 assert (zenon_L262_ : ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c3_1 (a2601)) -> (forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32)))))) -> (~(c2_1 (a2601))) -> (c3_1 (a2556)) -> (c2_1 (a2556)) -> (c1_1 (a2556)) -> (ndr1_0) -> (~(hskp18)) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H20d zenon_H1a5 zenon_H118 zenon_H1a6 zenon_H15c zenon_H15b zenon_H15a zenon_H12 zenon_Hb.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H20e ].
% 1.06/1.32 apply (zenon_L261_); trivial.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H159 | zenon_intro zenon_Hc ].
% 1.06/1.32 apply (zenon_L106_); trivial.
% 1.06/1.32 exact (zenon_Hb zenon_Hc).
% 1.06/1.32 (* end of lemma zenon_L262_ *)
% 1.06/1.32 assert (zenon_L263_ : ((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (~(hskp18)) -> (~(c2_1 (a2601))) -> (c3_1 (a2601)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H173 zenon_H230 zenon_Hb zenon_H1a6 zenon_H1a5 zenon_H20d zenon_H227 zenon_H226 zenon_H225.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H118 | zenon_intro zenon_H231 ].
% 1.06/1.32 apply (zenon_L262_); trivial.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H154 | zenon_intro zenon_H159 ].
% 1.06/1.32 apply (zenon_L256_); trivial.
% 1.06/1.32 apply (zenon_L106_); trivial.
% 1.06/1.32 (* end of lemma zenon_L263_ *)
% 1.06/1.32 assert (zenon_L264_ : ((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (~(hskp18)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> (~(hskp10)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H1b2 zenon_H177 zenon_H230 zenon_Hb zenon_H20d zenon_H225 zenon_H226 zenon_H227 zenon_Hd6 zenon_H152.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H12. zenon_intro zenon_H1b4.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H1a4. zenon_intro zenon_H1b5.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H1a5. zenon_intro zenon_H1a6.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.06/1.32 apply (zenon_L257_); trivial.
% 1.06/1.32 apply (zenon_L263_); trivial.
% 1.06/1.32 (* end of lemma zenon_L264_ *)
% 1.06/1.32 assert (zenon_L265_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (~(hskp18)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (ndr1_0) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(hskp21)) -> (~(c0_1 (a2549))) -> (~(c1_1 (a2549))) -> (c2_1 (a2549)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H1b7 zenon_H230 zenon_Hb zenon_H20d zenon_H152 zenon_Hd6 zenon_H227 zenon_H226 zenon_H225 zenon_H12 zenon_H1a2 zenon_H9 zenon_Ha4 zenon_Ha5 zenon_Ha6 zenon_H4b zenon_H49 zenon_Hae zenon_H3e zenon_H177.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1b2 ].
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.06/1.32 apply (zenon_L257_); trivial.
% 1.06/1.32 apply (zenon_L260_); trivial.
% 1.06/1.32 apply (zenon_L264_); trivial.
% 1.06/1.32 (* end of lemma zenon_L265_ *)
% 1.06/1.32 assert (zenon_L266_ : ((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (c2_1 (a2549)) -> (~(c1_1 (a2549))) -> (~(c0_1 (a2549))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> (~(hskp10)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H50 zenon_H177 zenon_H3e zenon_Hae zenon_H49 zenon_H4b zenon_Ha6 zenon_Ha5 zenon_Ha4 zenon_H1f zenon_H21 zenon_H225 zenon_H226 zenon_H227 zenon_Hd6 zenon_H152.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.06/1.32 apply (zenon_L257_); trivial.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H1d | zenon_intro zenon_H39 ].
% 1.06/1.32 apply (zenon_L13_); trivial.
% 1.06/1.32 apply (zenon_L259_); trivial.
% 1.06/1.32 (* end of lemma zenon_L266_ *)
% 1.06/1.32 assert (zenon_L267_ : (forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))) -> (ndr1_0) -> (~(c2_1 (a2539))) -> (forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32)))))) -> (c3_1 (a2539)) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H1f9 zenon_H12 zenon_H192 zenon_H118 zenon_H193.
% 1.06/1.32 generalize (zenon_H1f9 (a2539)). zenon_intro zenon_H232.
% 1.06/1.32 apply (zenon_imply_s _ _ zenon_H232); [ zenon_intro zenon_H11 | zenon_intro zenon_H233 ].
% 1.06/1.32 exact (zenon_H11 zenon_H12).
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H199 | zenon_intro zenon_H234 ].
% 1.06/1.32 exact (zenon_H192 zenon_H199).
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H235 | zenon_intro zenon_H198 ].
% 1.06/1.32 generalize (zenon_H118 (a2539)). zenon_intro zenon_H236.
% 1.06/1.32 apply (zenon_imply_s _ _ zenon_H236); [ zenon_intro zenon_H11 | zenon_intro zenon_H237 ].
% 1.06/1.32 exact (zenon_H11 zenon_H12).
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H238 | zenon_intro zenon_H196 ].
% 1.06/1.32 exact (zenon_H235 zenon_H238).
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H199 | zenon_intro zenon_H198 ].
% 1.06/1.32 exact (zenon_H192 zenon_H199).
% 1.06/1.32 exact (zenon_H198 zenon_H193).
% 1.06/1.32 exact (zenon_H198 zenon_H193).
% 1.06/1.32 (* end of lemma zenon_L267_ *)
% 1.06/1.32 assert (zenon_L268_ : ((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(c0_1 (a2539))) -> (~(hskp18)) -> (~(c2_1 (a2539))) -> (c3_1 (a2539)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (~(hskp11)) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H173 zenon_H11d zenon_H191 zenon_Hb zenon_H192 zenon_H193 zenon_H20d zenon_H11b.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H102 | zenon_intro zenon_H11e ].
% 1.06/1.32 apply (zenon_L125_); trivial.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H118 | zenon_intro zenon_H11c ].
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H20e ].
% 1.06/1.32 apply (zenon_L267_); trivial.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H159 | zenon_intro zenon_Hc ].
% 1.06/1.32 apply (zenon_L106_); trivial.
% 1.06/1.32 exact (zenon_Hb zenon_Hc).
% 1.06/1.32 exact (zenon_H11b zenon_H11c).
% 1.06/1.32 (* end of lemma zenon_L268_ *)
% 1.06/1.32 assert (zenon_L269_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp18)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c3_1 (a2539)) -> (~(c2_1 (a2539))) -> (~(c0_1 (a2539))) -> (ndr1_0) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> (~(hskp10)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H177 zenon_H11d zenon_H11b zenon_Hb zenon_H20d zenon_H193 zenon_H192 zenon_H191 zenon_H12 zenon_H225 zenon_H226 zenon_H227 zenon_Hd6 zenon_H152.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.06/1.32 apply (zenon_L257_); trivial.
% 1.06/1.32 apply (zenon_L268_); trivial.
% 1.06/1.32 (* end of lemma zenon_L269_ *)
% 1.06/1.32 assert (zenon_L270_ : ((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((hskp21)\/((hskp2)\/(hskp20))) -> (~(hskp2)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H19a zenon_Hba zenon_Hb3 zenon_Hae zenon_H79 zenon_H75 zenon_H92 zenon_H8e zenon_H8b zenon_H7f zenon_H9d zenon_H49 zenon_Ha2 zenon_H54 zenon_H152 zenon_Hd6 zenon_H227 zenon_H226 zenon_H225 zenon_H20d zenon_H11b zenon_H11d zenon_H177.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.06/1.32 apply (zenon_L269_); trivial.
% 1.06/1.32 apply (zenon_L49_); trivial.
% 1.06/1.32 (* end of lemma zenon_L270_ *)
% 1.06/1.32 assert (zenon_L271_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> (~(hskp10)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((hskp21)\/((hskp2)\/(hskp20))) -> (~(hskp2)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp23)\/(hskp27)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H1b9 zenon_H8e zenon_H8b zenon_H11b zenon_H11d zenon_Hb3 zenon_H1f zenon_H21 zenon_H177 zenon_H3e zenon_Hae zenon_H4b zenon_H1a2 zenon_H225 zenon_H226 zenon_H227 zenon_Hd6 zenon_H152 zenon_H20d zenon_H230 zenon_H1b7 zenon_H79 zenon_H75 zenon_Ha2 zenon_H49 zenon_H9d zenon_H7f zenon_Hcb zenon_H114 zenon_H12f zenon_Hdd zenon_H92 zenon_He8 zenon_Heb zenon_Hef zenon_H54 zenon_H5f zenon_H63 zenon_Hba.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.06/1.32 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.06/1.32 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.06/1.32 apply (zenon_L255_); trivial.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.06/1.32 apply (zenon_L265_); trivial.
% 1.06/1.32 apply (zenon_L266_); trivial.
% 1.06/1.32 apply (zenon_L97_); trivial.
% 1.06/1.32 apply (zenon_L270_); trivial.
% 1.06/1.32 (* end of lemma zenon_L271_ *)
% 1.06/1.32 assert (zenon_L272_ : ((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp23)\/(hskp27)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H50 zenon_Hef zenon_H1e7 zenon_H75 zenon_H142 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H92 zenon_Hdd zenon_H12f zenon_H114 zenon_Hcb zenon_H7f zenon_H9d zenon_H49 zenon_Ha2.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.06/1.32 apply (zenon_L92_); trivial.
% 1.06/1.32 apply (zenon_L188_); trivial.
% 1.06/1.32 (* end of lemma zenon_L272_ *)
% 1.06/1.32 assert (zenon_L273_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp23)\/(hskp27)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp2)) -> (~(hskp20)) -> ((hskp21)\/((hskp2)\/(hskp20))) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H54 zenon_Hef zenon_H1e7 zenon_H142 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H92 zenon_Hdd zenon_H12f zenon_H114 zenon_Hcb zenon_H7f zenon_H9d zenon_H49 zenon_Ha2 zenon_H75 zenon_H77 zenon_H79.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.06/1.32 apply (zenon_L35_); trivial.
% 1.06/1.32 apply (zenon_L272_); trivial.
% 1.06/1.32 (* end of lemma zenon_L273_ *)
% 1.06/1.32 assert (zenon_L274_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> (~(hskp15)) -> (~(hskp4)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp23)\/(hskp27)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp2)) -> ((hskp21)\/((hskp2)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.06/1.32 do 0 intro. intros zenon_Hba zenon_H63 zenon_H61 zenon_H5f zenon_H54 zenon_Hef zenon_H1e7 zenon_H142 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H92 zenon_Hdd zenon_H12f zenon_H114 zenon_Hcb zenon_H7f zenon_H9d zenon_H49 zenon_Ha2 zenon_H75 zenon_H79 zenon_H1b7 zenon_H230 zenon_H20d zenon_H152 zenon_Hd6 zenon_H227 zenon_H226 zenon_H225 zenon_H1a2 zenon_H4b zenon_Hae zenon_H3e zenon_H177 zenon_Hb3.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.06/1.32 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.06/1.32 apply (zenon_L273_); trivial.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.06/1.32 apply (zenon_L265_); trivial.
% 1.06/1.32 apply (zenon_L272_); trivial.
% 1.06/1.32 apply (zenon_L97_); trivial.
% 1.06/1.32 (* end of lemma zenon_L274_ *)
% 1.06/1.32 assert (zenon_L275_ : ((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((hskp21)\/((hskp2)\/(hskp20))) -> (~(hskp2)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp23)\/(hskp27)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> False).
% 1.06/1.32 do 0 intro. intros zenon_Hb2 zenon_Hb3 zenon_Hae zenon_H79 zenon_H75 zenon_Ha2 zenon_H49 zenon_H9d zenon_H7f zenon_Hcb zenon_H114 zenon_H12f zenon_Hdd zenon_H92 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H142 zenon_H1e7 zenon_Hef zenon_H54.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.06/1.32 apply (zenon_L273_); trivial.
% 1.06/1.32 apply (zenon_L48_); trivial.
% 1.06/1.32 (* end of lemma zenon_L275_ *)
% 1.06/1.32 assert (zenon_L276_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539))))))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> (~(hskp10)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((hskp21)\/((hskp2)\/(hskp20))) -> (~(hskp2)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp23)\/(hskp27)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.06/1.32 do 0 intro. intros zenon_Hfe zenon_H1b9 zenon_H11b zenon_H11d zenon_Hb3 zenon_H177 zenon_H3e zenon_Hae zenon_H4b zenon_H1a2 zenon_H225 zenon_H226 zenon_H227 zenon_Hd6 zenon_H152 zenon_H20d zenon_H230 zenon_H1b7 zenon_H79 zenon_H75 zenon_Ha2 zenon_H49 zenon_H9d zenon_H7f zenon_Hcb zenon_H114 zenon_H12f zenon_Hdd zenon_H92 zenon_H142 zenon_H1e7 zenon_Hef zenon_H54 zenon_H5f zenon_H63 zenon_Hba.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.06/1.32 apply (zenon_L274_); trivial.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.06/1.32 apply (zenon_L269_); trivial.
% 1.06/1.32 apply (zenon_L275_); trivial.
% 1.06/1.32 (* end of lemma zenon_L276_ *)
% 1.06/1.32 assert (zenon_L277_ : ((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539))))))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((hskp21)\/((hskp2)\/(hskp20))) -> (~(hskp2)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp1)) -> ((hskp21)\/((hskp18)\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((hskp23)\/(hskp27)) -> (~(hskp10)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H1b8 zenon_H101 zenon_H1b9 zenon_H11b zenon_H11d zenon_H177 zenon_H1a2 zenon_H225 zenon_H226 zenon_H227 zenon_H152 zenon_H20d zenon_H230 zenon_H1b7 zenon_H79 zenon_H75 zenon_Ha2 zenon_H9d zenon_H7f zenon_H114 zenon_H12f zenon_H92 zenon_H142 zenon_H1e7 zenon_H5f zenon_H63 zenon_H54 zenon_H51 zenon_H3e zenon_H4b zenon_H1f zenon_H21 zenon_H49 zenon_Hc5 zenon_Hd zenon_Hf zenon_Hef zenon_Heb zenon_Hcb zenon_Hd6 zenon_Hd9 zenon_Hdd zenon_Hae zenon_Hb3 zenon_Hba.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.06/1.32 apply (zenon_L68_); trivial.
% 1.06/1.32 apply (zenon_L276_); trivial.
% 1.06/1.32 (* end of lemma zenon_L277_ *)
% 1.06/1.32 assert (zenon_L278_ : ((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> (~(hskp10)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> False).
% 1.06/1.32 do 0 intro. intros zenon_Had zenon_H177 zenon_Hae zenon_H121 zenon_H122 zenon_H49 zenon_H4b zenon_H225 zenon_H226 zenon_H227 zenon_Hd6 zenon_H152.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.06/1.32 apply (zenon_L257_); trivial.
% 1.06/1.32 apply (zenon_L161_); trivial.
% 1.06/1.32 (* end of lemma zenon_L278_ *)
% 1.06/1.32 assert (zenon_L279_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> (~(hskp10)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((hskp21)\/((hskp2)\/(hskp20))) -> (~(hskp2)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp23)\/(hskp27)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> False).
% 1.06/1.32 do 0 intro. intros zenon_Hfe zenon_Hb3 zenon_H177 zenon_Hae zenon_H121 zenon_H122 zenon_H4b zenon_H225 zenon_H226 zenon_H227 zenon_Hd6 zenon_H152 zenon_H79 zenon_H75 zenon_Ha2 zenon_H49 zenon_H9d zenon_H7f zenon_Hcb zenon_H114 zenon_H12f zenon_Hdd zenon_H92 zenon_H142 zenon_H1e7 zenon_Hef zenon_H54.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.06/1.32 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.06/1.32 apply (zenon_L273_); trivial.
% 1.06/1.32 apply (zenon_L278_); trivial.
% 1.06/1.32 (* end of lemma zenon_L279_ *)
% 1.06/1.32 assert (zenon_L280_ : ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10)))))) -> (~(c1_1 (a2528))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (ndr1_0) -> (c1_1 (a2556)) -> (c2_1 (a2556)) -> (c3_1 (a2556)) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H230 zenon_H105 zenon_H103 zenon_H1e2 zenon_H10d zenon_H227 zenon_H226 zenon_H225 zenon_H12 zenon_H15a zenon_H15b zenon_H15c.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H118 | zenon_intro zenon_H231 ].
% 1.06/1.32 apply (zenon_L184_); trivial.
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H154 | zenon_intro zenon_H159 ].
% 1.06/1.32 apply (zenon_L256_); trivial.
% 1.06/1.32 apply (zenon_L106_); trivial.
% 1.06/1.32 (* end of lemma zenon_L280_ *)
% 1.06/1.32 assert (zenon_L281_ : (forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))) -> (ndr1_0) -> (c0_1 (a2597)) -> (c2_1 (a2597)) -> (c3_1 (a2597)) -> False).
% 1.06/1.32 do 0 intro. intros zenon_H3f zenon_H12 zenon_H167 zenon_H239 zenon_H169.
% 1.06/1.32 generalize (zenon_H3f (a2597)). zenon_intro zenon_H23a.
% 1.06/1.32 apply (zenon_imply_s _ _ zenon_H23a); [ zenon_intro zenon_H11 | zenon_intro zenon_H23b ].
% 1.06/1.32 exact (zenon_H11 zenon_H12).
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H16d | zenon_intro zenon_H23c ].
% 1.06/1.32 exact (zenon_H16d zenon_H167).
% 1.06/1.32 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H23d | zenon_intro zenon_H16e ].
% 1.06/1.32 exact (zenon_H23d zenon_H239).
% 1.06/1.32 exact (zenon_H16e zenon_H169).
% 1.06/1.32 (* end of lemma zenon_L281_ *)
% 1.06/1.32 assert (zenon_L282_ : (forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))) -> (ndr1_0) -> (forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))) -> (c0_1 (a2597)) -> (c3_1 (a2597)) -> (c1_1 (a2597)) -> False).
% 1.06/1.33 do 0 intro. intros zenon_H13 zenon_H12 zenon_H3f zenon_H167 zenon_H169 zenon_H168.
% 1.06/1.33 generalize (zenon_H13 (a2597)). zenon_intro zenon_H23e.
% 1.06/1.33 apply (zenon_imply_s _ _ zenon_H23e); [ zenon_intro zenon_H11 | zenon_intro zenon_H23f ].
% 1.06/1.33 exact (zenon_H11 zenon_H12).
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H239 | zenon_intro zenon_H240 ].
% 1.06/1.33 apply (zenon_L281_); trivial.
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H16d | zenon_intro zenon_H16f ].
% 1.06/1.33 exact (zenon_H16d zenon_H167).
% 1.06/1.33 exact (zenon_H16f zenon_H168).
% 1.06/1.33 (* end of lemma zenon_L282_ *)
% 1.06/1.33 assert (zenon_L283_ : ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (c1_1 (a2597)) -> (c3_1 (a2597)) -> (c0_1 (a2597)) -> (forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))) -> (ndr1_0) -> (~(hskp24)) -> (~(hskp25)) -> False).
% 1.06/1.33 do 0 intro. intros zenon_H7f zenon_H168 zenon_H169 zenon_H167 zenon_H3f zenon_H12 zenon_H7b zenon_H7d.
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H13 | zenon_intro zenon_H80 ].
% 1.06/1.33 apply (zenon_L282_); trivial.
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H7c | zenon_intro zenon_H7e ].
% 1.06/1.33 exact (zenon_H7b zenon_H7c).
% 1.06/1.33 exact (zenon_H7d zenon_H7e).
% 1.06/1.33 (* end of lemma zenon_L283_ *)
% 1.06/1.33 assert (zenon_L284_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(hskp24)) -> (~(hskp25)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(c0_1 (a2528))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (c3_1 (a2528)) -> (~(c1_1 (a2528))) -> (ndr1_0) -> (~(hskp8)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> False).
% 1.06/1.33 do 0 intro. intros zenon_H177 zenon_H174 zenon_H216 zenon_H7b zenon_H7d zenon_H7f zenon_H103 zenon_H225 zenon_H226 zenon_H227 zenon_H230 zenon_Hc7 zenon_H163 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H105 zenon_H10d zenon_H12 zenon_H112 zenon_H114 zenon_H116.
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.06/1.33 apply (zenon_L157_); trivial.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H164 | zenon_intro zenon_H170 ].
% 1.06/1.33 apply (zenon_L107_); trivial.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H167. zenon_intro zenon_H172.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H168. zenon_intro zenon_H169.
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H217 ].
% 1.06/1.33 apply (zenon_L280_); trivial.
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H14a | zenon_intro zenon_H3f ].
% 1.06/1.33 apply (zenon_L108_); trivial.
% 1.06/1.33 apply (zenon_L283_); trivial.
% 1.06/1.33 (* end of lemma zenon_L284_ *)
% 1.06/1.33 assert (zenon_L285_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(c0_1 (a2528))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (c3_1 (a2528)) -> (~(c1_1 (a2528))) -> (ndr1_0) -> (~(hskp8)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> ((hskp23)\/(hskp27)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> False).
% 1.06/1.33 do 0 intro. intros zenon_Ha2 zenon_H49 zenon_H9d zenon_H177 zenon_H174 zenon_H216 zenon_H7f zenon_H103 zenon_H225 zenon_H226 zenon_H227 zenon_H230 zenon_Hc7 zenon_H163 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H105 zenon_H10d zenon_H12 zenon_H112 zenon_H114 zenon_H116 zenon_Hcb zenon_H12f zenon_Hdd zenon_H92.
% 1.06/1.33 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.06/1.33 apply (zenon_L284_); trivial.
% 1.06/1.33 apply (zenon_L90_); trivial.
% 1.06/1.33 apply (zenon_L91_); trivial.
% 1.06/1.33 (* end of lemma zenon_L285_ *)
% 1.06/1.33 assert (zenon_L286_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> (~(hskp14)) -> (~(hskp20)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> ((hskp23)\/(hskp27)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> (~(hskp7)) -> (~(hskp8)) -> (ndr1_0) -> (~(c1_1 (a2528))) -> (c3_1 (a2528)) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (~(c0_1 (a2528))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> False).
% 1.06/1.33 do 0 intro. intros zenon_Hef zenon_Heb zenon_He8 zenon_H77 zenon_H92 zenon_Hdd zenon_H12f zenon_Hcb zenon_H116 zenon_H114 zenon_H112 zenon_H12 zenon_H10d zenon_H105 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H163 zenon_H230 zenon_H227 zenon_H226 zenon_H225 zenon_H103 zenon_H7f zenon_H216 zenon_H174 zenon_H177 zenon_H9d zenon_H49 zenon_Ha2.
% 1.06/1.33 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.06/1.33 apply (zenon_L285_); trivial.
% 1.06/1.33 apply (zenon_L65_); trivial.
% 1.06/1.33 (* end of lemma zenon_L286_ *)
% 1.06/1.33 assert (zenon_L287_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(c0_1 (a2528))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (c3_1 (a2528)) -> (~(c1_1 (a2528))) -> (ndr1_0) -> (~(hskp8)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> ((hskp23)\/(hskp27)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.06/1.33 do 0 intro. intros zenon_Hb3 zenon_Hae zenon_H4b zenon_Ha2 zenon_H49 zenon_H9d zenon_H177 zenon_H174 zenon_H216 zenon_H7f zenon_H103 zenon_H225 zenon_H226 zenon_H227 zenon_H230 zenon_H163 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H105 zenon_H10d zenon_H12 zenon_H112 zenon_H114 zenon_H116 zenon_Hcb zenon_H12f zenon_Hdd zenon_H92 zenon_He8 zenon_Heb zenon_Hef.
% 1.06/1.33 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.06/1.33 apply (zenon_L286_); trivial.
% 1.06/1.33 apply (zenon_L162_); trivial.
% 1.06/1.33 (* end of lemma zenon_L287_ *)
% 1.06/1.33 assert (zenon_L288_ : ((ndr1_0)/\((c3_1 (a2528))/\((~(c0_1 (a2528)))/\(~(c1_1 (a2528)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> ((hskp23)\/(hskp27)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> (~(hskp7)) -> (~(hskp8)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> False).
% 1.06/1.33 do 0 intro. intros zenon_H1d1 zenon_H12e zenon_H101 zenon_H1e7 zenon_H75 zenon_H142 zenon_Hef zenon_Heb zenon_H92 zenon_Hdd zenon_H12f zenon_Hcb zenon_H1bc zenon_H163 zenon_H230 zenon_H227 zenon_H226 zenon_H225 zenon_H7f zenon_H216 zenon_H174 zenon_H177 zenon_H9d zenon_H49 zenon_Ha2 zenon_H4b zenon_Hae zenon_Hb3 zenon_H116 zenon_H114 zenon_H112 zenon_H11d.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.06/1.33 apply (zenon_L82_); trivial.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.06/1.33 apply (zenon_L287_); trivial.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.06/1.33 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.06/1.33 apply (zenon_L285_); trivial.
% 1.06/1.33 apply (zenon_L188_); trivial.
% 1.06/1.33 (* end of lemma zenon_L288_ *)
% 1.06/1.33 assert (zenon_L289_ : ((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> False).
% 1.06/1.33 do 0 intro. intros zenon_H173 zenon_H230 zenon_H182 zenon_H181 zenon_H180 zenon_H227 zenon_H226 zenon_H225.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H118 | zenon_intro zenon_H231 ].
% 1.06/1.33 apply (zenon_L115_); trivial.
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H154 | zenon_intro zenon_H159 ].
% 1.06/1.33 apply (zenon_L256_); trivial.
% 1.06/1.33 apply (zenon_L106_); trivial.
% 1.06/1.33 (* end of lemma zenon_L289_ *)
% 1.06/1.33 assert (zenon_L290_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> (~(hskp10)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> False).
% 1.06/1.33 do 0 intro. intros zenon_H18d zenon_H177 zenon_H230 zenon_H225 zenon_H226 zenon_H227 zenon_Hd6 zenon_H152.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.06/1.33 apply (zenon_L257_); trivial.
% 1.06/1.33 apply (zenon_L289_); trivial.
% 1.06/1.33 (* end of lemma zenon_L290_ *)
% 1.06/1.33 assert (zenon_L291_ : ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (~(c3_1 (a2553))) -> (c0_1 (a2553)) -> (~(c1_1 (a2553))) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (ndr1_0) -> (~(hskp21)) -> False).
% 1.06/1.33 do 0 intro. intros zenon_H241 zenon_He0 zenon_He1 zenon_Hdf zenon_H93 zenon_H227 zenon_H226 zenon_H225 zenon_H12 zenon_H9.
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H65 | zenon_intro zenon_H242 ].
% 1.06/1.33 apply (zenon_L94_); trivial.
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H154 | zenon_intro zenon_Ha ].
% 1.06/1.33 apply (zenon_L256_); trivial.
% 1.06/1.33 exact (zenon_H9 zenon_Ha).
% 1.06/1.33 (* end of lemma zenon_L291_ *)
% 1.06/1.33 assert (zenon_L292_ : ((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (~(hskp21)) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (~(hskp16)) -> False).
% 1.06/1.33 do 0 intro. intros zenon_Hea zenon_H144 zenon_H134 zenon_H133 zenon_H132 zenon_H9 zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_H5.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H131 | zenon_intro zenon_H145 ].
% 1.06/1.33 apply (zenon_L93_); trivial.
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H93 | zenon_intro zenon_H6 ].
% 1.06/1.33 apply (zenon_L291_); trivial.
% 1.06/1.33 exact (zenon_H5 zenon_H6).
% 1.06/1.33 (* end of lemma zenon_L292_ *)
% 1.06/1.33 assert (zenon_L293_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp16)) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> (~(hskp21)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> False).
% 1.06/1.33 do 0 intro. intros zenon_Hef zenon_H144 zenon_H5 zenon_H225 zenon_H226 zenon_H227 zenon_H9 zenon_H241 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H146 zenon_H148 zenon_Hdd.
% 1.06/1.33 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.06/1.33 apply (zenon_L100_); trivial.
% 1.06/1.33 apply (zenon_L292_); trivial.
% 1.06/1.33 (* end of lemma zenon_L293_ *)
% 1.06/1.33 assert (zenon_L294_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (~(hskp16)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> (~(hskp10)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> False).
% 1.06/1.33 do 0 intro. intros zenon_H18d zenon_Hef zenon_Ha2 zenon_H132 zenon_H133 zenon_H134 zenon_H18b zenon_H5 zenon_H144 zenon_Hcb zenon_Hbc zenon_Hbd zenon_Hbe zenon_Hd6 zenon_Hd9 zenon_Hdd.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.06/1.33 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.06/1.33 apply (zenon_L62_); trivial.
% 1.06/1.33 apply (zenon_L200_); trivial.
% 1.06/1.33 (* end of lemma zenon_L294_ *)
% 1.06/1.33 assert (zenon_L295_ : ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (ndr1_0) -> (~(hskp21)) -> False).
% 1.06/1.33 do 0 intro. intros zenon_H241 zenon_H68 zenon_H67 zenon_H66 zenon_H227 zenon_H226 zenon_H225 zenon_H12 zenon_H9.
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H65 | zenon_intro zenon_H242 ].
% 1.06/1.33 apply (zenon_L29_); trivial.
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H154 | zenon_intro zenon_Ha ].
% 1.06/1.33 apply (zenon_L256_); trivial.
% 1.06/1.33 exact (zenon_H9 zenon_Ha).
% 1.06/1.33 (* end of lemma zenon_L295_ *)
% 1.06/1.33 assert (zenon_L296_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> False).
% 1.06/1.33 do 0 intro. intros zenon_Hb6 zenon_H54 zenon_Hd9 zenon_Hd6 zenon_H157 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H225 zenon_H226 zenon_H227 zenon_H241.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.06/1.33 apply (zenon_L295_); trivial.
% 1.06/1.33 apply (zenon_L134_); trivial.
% 1.06/1.33 (* end of lemma zenon_L296_ *)
% 1.06/1.33 assert (zenon_L297_ : ((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.06/1.33 do 0 intro. intros zenon_H1b8 zenon_Hb9 zenon_H54 zenon_Hd9 zenon_H157 zenon_Hd6 zenon_H92 zenon_H12f zenon_H114 zenon_H7f zenon_H9d zenon_H49 zenon_Ha2 zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H241 zenon_H227 zenon_H226 zenon_H225 zenon_H144 zenon_Hef zenon_H18b zenon_H190.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.06/1.33 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.06/1.33 apply (zenon_L293_); trivial.
% 1.06/1.33 apply (zenon_L132_); trivial.
% 1.06/1.33 apply (zenon_L294_); trivial.
% 1.06/1.33 apply (zenon_L296_); trivial.
% 1.06/1.33 (* end of lemma zenon_L297_ *)
% 1.06/1.33 assert (zenon_L298_ : (forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (ndr1_0) -> (c0_1 (a2525)) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))) -> (c2_1 (a2525)) -> False).
% 1.06/1.33 do 0 intro. intros zenon_H2d zenon_H12 zenon_H1d8 zenon_H93 zenon_H1d9.
% 1.06/1.33 generalize (zenon_H2d (a2525)). zenon_intro zenon_H243.
% 1.06/1.33 apply (zenon_imply_s _ _ zenon_H243); [ zenon_intro zenon_H11 | zenon_intro zenon_H244 ].
% 1.06/1.33 exact (zenon_H11 zenon_H12).
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H1df | zenon_intro zenon_H245 ].
% 1.06/1.33 exact (zenon_H1df zenon_H1d8).
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H246 | zenon_intro zenon_H1de ].
% 1.06/1.33 generalize (zenon_H93 (a2525)). zenon_intro zenon_H247.
% 1.06/1.33 apply (zenon_imply_s _ _ zenon_H247); [ zenon_intro zenon_H11 | zenon_intro zenon_H248 ].
% 1.06/1.33 exact (zenon_H11 zenon_H12).
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H249 | zenon_intro zenon_H1dc ].
% 1.06/1.33 exact (zenon_H246 zenon_H249).
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1df | zenon_intro zenon_H1de ].
% 1.06/1.33 exact (zenon_H1df zenon_H1d8).
% 1.06/1.33 exact (zenon_H1de zenon_H1d9).
% 1.06/1.33 exact (zenon_H1de zenon_H1d9).
% 1.06/1.33 (* end of lemma zenon_L298_ *)
% 1.06/1.33 assert (zenon_L299_ : (forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))) -> (ndr1_0) -> (forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))) -> (c0_1 (a2597)) -> (c3_1 (a2597)) -> (c1_1 (a2597)) -> False).
% 1.06/1.33 do 0 intro. intros zenon_H1f9 zenon_H12 zenon_H3f zenon_H167 zenon_H169 zenon_H168.
% 1.06/1.33 generalize (zenon_H1f9 (a2597)). zenon_intro zenon_H24a.
% 1.06/1.33 apply (zenon_imply_s _ _ zenon_H24a); [ zenon_intro zenon_H11 | zenon_intro zenon_H24b ].
% 1.06/1.33 exact (zenon_H11 zenon_H12).
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H239 | zenon_intro zenon_H16c ].
% 1.06/1.33 apply (zenon_L281_); trivial.
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H16f | zenon_intro zenon_H16e ].
% 1.06/1.33 exact (zenon_H16f zenon_H168).
% 1.06/1.33 exact (zenon_H16e zenon_H169).
% 1.06/1.33 (* end of lemma zenon_L299_ *)
% 1.06/1.33 assert (zenon_L300_ : ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (~(hskp3)) -> (c0_1 (a2597)) -> (c3_1 (a2597)) -> (c1_1 (a2597)) -> (c0_1 (a2525)) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))) -> (c2_1 (a2525)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (c3_1 (a2556)) -> (c2_1 (a2556)) -> (c1_1 (a2556)) -> (ndr1_0) -> (~(hskp18)) -> False).
% 1.06/1.33 do 0 intro. intros zenon_H20d zenon_H49 zenon_H167 zenon_H169 zenon_H168 zenon_H1d8 zenon_H93 zenon_H1d9 zenon_H4b zenon_H15c zenon_H15b zenon_H15a zenon_H12 zenon_Hb.
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H20e ].
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2d | zenon_intro zenon_H4c ].
% 1.06/1.33 apply (zenon_L298_); trivial.
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H3f | zenon_intro zenon_H4a ].
% 1.06/1.33 apply (zenon_L299_); trivial.
% 1.06/1.33 exact (zenon_H49 zenon_H4a).
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H159 | zenon_intro zenon_Hc ].
% 1.06/1.33 apply (zenon_L106_); trivial.
% 1.06/1.33 exact (zenon_Hb zenon_Hc).
% 1.06/1.33 (* end of lemma zenon_L300_ *)
% 1.06/1.33 assert (zenon_L301_ : ((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c2_1 (a2549)) -> (~(c1_1 (a2549))) -> (~(c0_1 (a2549))) -> (~(hskp3)) -> (c1_1 (a2556)) -> (c2_1 (a2556)) -> (c3_1 (a2556)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> (~(c3_1 (a2553))) -> (c0_1 (a2553)) -> (~(c1_1 (a2553))) -> (~(hskp2)) -> False).
% 1.06/1.33 do 0 intro. intros zenon_H39 zenon_H1f3 zenon_Ha6 zenon_Ha5 zenon_Ha4 zenon_H49 zenon_H15a zenon_H15b zenon_H15c zenon_H4b zenon_H142 zenon_He0 zenon_He1 zenon_Hdf zenon_H75.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H12. zenon_intro zenon_H3b.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H2e. zenon_intro zenon_H3c.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H2f. zenon_intro zenon_H30.
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H1f4 ].
% 1.06/1.33 apply (zenon_L47_); trivial.
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H55 | zenon_intro zenon_H93 ].
% 1.06/1.33 apply (zenon_L258_); trivial.
% 1.06/1.33 apply (zenon_L95_); trivial.
% 1.06/1.33 (* end of lemma zenon_L301_ *)
% 1.06/1.33 assert (zenon_L302_ : ((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (~(hskp18)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(hskp21)) -> (~(c0_1 (a2549))) -> (~(c1_1 (a2549))) -> (c2_1 (a2549)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> False).
% 1.06/1.33 do 0 intro. intros zenon_Hea zenon_H1b7 zenon_H230 zenon_Hb zenon_H20d zenon_H152 zenon_Hd6 zenon_H227 zenon_H226 zenon_H225 zenon_H1a2 zenon_H9 zenon_Ha4 zenon_Ha5 zenon_Ha6 zenon_H4b zenon_H49 zenon_H142 zenon_H75 zenon_H1f3 zenon_H3e zenon_H177.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1b2 ].
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.06/1.33 apply (zenon_L257_); trivial.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H1d | zenon_intro zenon_H39 ].
% 1.06/1.33 apply (zenon_L139_); trivial.
% 1.06/1.33 apply (zenon_L301_); trivial.
% 1.06/1.33 apply (zenon_L264_); trivial.
% 1.06/1.33 (* end of lemma zenon_L302_ *)
% 1.06/1.33 assert (zenon_L303_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> (~(hskp2)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(hskp18)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (c2_1 (a2549)) -> (~(c1_1 (a2549))) -> (~(c0_1 (a2549))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(hskp21)) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (ndr1_0) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> (~(hskp10)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> False).
% 1.06/1.33 do 0 intro. intros zenon_Hef zenon_H142 zenon_H75 zenon_H177 zenon_H3e zenon_H174 zenon_H1f3 zenon_H1d9 zenon_H1d8 zenon_Hb zenon_H20d zenon_H49 zenon_H4b zenon_Ha6 zenon_Ha5 zenon_Ha4 zenon_H163 zenon_H9 zenon_H1a2 zenon_H12 zenon_H225 zenon_H226 zenon_H227 zenon_Hd6 zenon_H152 zenon_H230 zenon_H1b7.
% 1.06/1.33 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1b2 ].
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.06/1.33 apply (zenon_L257_); trivial.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H1d | zenon_intro zenon_H39 ].
% 1.06/1.33 apply (zenon_L139_); trivial.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H12. zenon_intro zenon_H3b.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H2e. zenon_intro zenon_H3c.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H2f. zenon_intro zenon_H30.
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H164 | zenon_intro zenon_H170 ].
% 1.06/1.33 apply (zenon_L107_); trivial.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H167. zenon_intro zenon_H172.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H168. zenon_intro zenon_H169.
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H1f4 ].
% 1.06/1.33 apply (zenon_L47_); trivial.
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H55 | zenon_intro zenon_H93 ].
% 1.06/1.33 apply (zenon_L258_); trivial.
% 1.06/1.33 apply (zenon_L300_); trivial.
% 1.06/1.33 apply (zenon_L264_); trivial.
% 1.06/1.33 apply (zenon_L302_); trivial.
% 1.06/1.33 (* end of lemma zenon_L303_ *)
% 1.06/1.33 assert (zenon_L304_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((hskp21)\/((hskp2)\/(hskp20))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> (~(hskp14)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (ndr1_0) -> ((hskp23)\/(hskp27)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> (~(hskp2)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> (~(hskp10)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.06/1.33 do 0 intro. intros zenon_Hba zenon_H79 zenon_H8e zenon_H8b zenon_H7f zenon_H9d zenon_Ha2 zenon_Hef zenon_Heb zenon_He8 zenon_H1e0 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H12 zenon_Hcb zenon_H114 zenon_H12f zenon_Hdd zenon_H92 zenon_H142 zenon_H75 zenon_H177 zenon_H3e zenon_H174 zenon_H1f3 zenon_H20d zenon_H49 zenon_H4b zenon_H163 zenon_H1a2 zenon_H225 zenon_H226 zenon_H227 zenon_Hd6 zenon_H152 zenon_H230 zenon_H1b7 zenon_H21 zenon_H1f zenon_Hae zenon_H54 zenon_Hb3.
% 1.06/1.33 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.06/1.33 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.06/1.33 apply (zenon_L182_); trivial.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.06/1.33 apply (zenon_L303_); trivial.
% 1.06/1.33 apply (zenon_L266_); trivial.
% 1.06/1.33 apply (zenon_L49_); trivial.
% 1.06/1.33 (* end of lemma zenon_L304_ *)
% 1.06/1.33 assert (zenon_L305_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (~(hskp18)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> (~(hskp10)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> (ndr1_0) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(hskp21)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> False).
% 1.06/1.33 do 0 intro. intros zenon_H1b7 zenon_H177 zenon_H230 zenon_Hb zenon_H20d zenon_H225 zenon_H226 zenon_H227 zenon_Hd6 zenon_H152 zenon_Hc5 zenon_H49 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H12 zenon_H1a2 zenon_H9 zenon_H4b zenon_H3e zenon_H51.
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1b2 ].
% 1.06/1.33 apply (zenon_L141_); trivial.
% 1.06/1.33 apply (zenon_L264_); trivial.
% 1.06/1.33 (* end of lemma zenon_L305_ *)
% 1.06/1.33 assert (zenon_L306_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> (~(hskp15)) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> (~(hskp10)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> (ndr1_0) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> False).
% 1.06/1.33 do 0 intro. intros zenon_Hba zenon_H63 zenon_H61 zenon_H5f zenon_H1b7 zenon_H177 zenon_H230 zenon_H20d zenon_H225 zenon_H226 zenon_H227 zenon_Hd6 zenon_H152 zenon_Hc5 zenon_H49 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H12 zenon_H1a2 zenon_H4b zenon_H3e zenon_H51 zenon_H21 zenon_H1f zenon_H54.
% 1.06/1.33 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.06/1.33 apply (zenon_L305_); trivial.
% 1.06/1.33 apply (zenon_L54_); trivial.
% 1.06/1.33 apply (zenon_L97_); trivial.
% 1.06/1.33 (* end of lemma zenon_L306_ *)
% 1.06/1.33 assert (zenon_L307_ : ((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> (~(c3_1 (a2553))) -> (c0_1 (a2553)) -> (~(c1_1 (a2553))) -> (~(hskp19)) -> (~(hskp16)) -> (~(c0_1 (a2539))) -> (~(c2_1 (a2539))) -> (c3_1 (a2539)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp11)) -> False).
% 1.06/1.33 do 0 intro. intros zenon_H1b2 zenon_H11d zenon_H1e9 zenon_He0 zenon_He1 zenon_Hdf zenon_H3 zenon_H5 zenon_H191 zenon_H192 zenon_H193 zenon_H1b3 zenon_H11b.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H12. zenon_intro zenon_H1b4.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H1a4. zenon_intro zenon_H1b5.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H1a5. zenon_intro zenon_H1a6.
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H102 | zenon_intro zenon_H11e ].
% 1.06/1.33 apply (zenon_L125_); trivial.
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H118 | zenon_intro zenon_H11c ].
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H102 | zenon_intro zenon_H1b6 ].
% 1.06/1.33 apply (zenon_L125_); trivial.
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H93 | zenon_intro zenon_H14a ].
% 1.06/1.33 apply (zenon_L192_); trivial.
% 1.06/1.33 apply (zenon_L142_); trivial.
% 1.06/1.33 exact (zenon_H11b zenon_H11c).
% 1.06/1.33 (* end of lemma zenon_L307_ *)
% 1.06/1.33 assert (zenon_L308_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> (~(hskp16)) -> (~(hskp19)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a2539)) -> (~(c2_1 (a2539))) -> (~(c0_1 (a2539))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(hskp21)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> (~(hskp10)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> False).
% 1.06/1.33 do 0 intro. intros zenon_Hef zenon_H1b7 zenon_H11d zenon_H11b zenon_H1e9 zenon_H5 zenon_H3 zenon_H1b3 zenon_H193 zenon_H192 zenon_H191 zenon_Hc5 zenon_H49 zenon_H1a2 zenon_H9 zenon_H4b zenon_H3e zenon_H51 zenon_Hcb zenon_Hbc zenon_Hbd zenon_Hbe zenon_Hd6 zenon_Hd9 zenon_Hdd.
% 1.06/1.33 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.06/1.33 apply (zenon_L62_); trivial.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1b2 ].
% 1.06/1.33 apply (zenon_L141_); trivial.
% 1.06/1.33 apply (zenon_L307_); trivial.
% 1.06/1.33 (* end of lemma zenon_L308_ *)
% 1.06/1.33 assert (zenon_L309_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> ((hskp23)\/(hskp27)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(c0_1 (a2539))) -> (~(c2_1 (a2539))) -> (c3_1 (a2539)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp19)) -> (~(hskp16)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.06/1.33 do 0 intro. intros zenon_H54 zenon_H1f zenon_H21 zenon_Hdd zenon_Hd9 zenon_Hd6 zenon_Hbe zenon_Hbd zenon_Hbc zenon_Hcb zenon_H51 zenon_H3e zenon_H4b zenon_H1a2 zenon_H49 zenon_Hc5 zenon_H191 zenon_H192 zenon_H193 zenon_H1b3 zenon_H3 zenon_H5 zenon_H1e9 zenon_H11b zenon_H11d zenon_H1b7 zenon_Hef.
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.06/1.33 apply (zenon_L308_); trivial.
% 1.06/1.33 apply (zenon_L54_); trivial.
% 1.06/1.33 (* end of lemma zenon_L309_ *)
% 1.06/1.33 assert (zenon_L310_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> (~(hskp16)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a2539)) -> (~(c2_1 (a2539))) -> (~(c0_1 (a2539))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> (~(hskp10)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> False).
% 1.06/1.33 do 0 intro. intros zenon_H74 zenon_H3a zenon_H157 zenon_Hef zenon_H1b7 zenon_H11d zenon_H11b zenon_H1e9 zenon_H5 zenon_H1b3 zenon_H193 zenon_H192 zenon_H191 zenon_Hc5 zenon_H49 zenon_H1a2 zenon_H4b zenon_H3e zenon_H51 zenon_Hcb zenon_Hbc zenon_Hbd zenon_Hbe zenon_Hd6 zenon_Hd9 zenon_Hdd zenon_H21 zenon_H1f zenon_H54.
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.06/1.33 apply (zenon_L309_); trivial.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.06/1.33 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.06/1.33 apply (zenon_L146_); trivial.
% 1.06/1.33 apply (zenon_L23_); trivial.
% 1.06/1.33 (* end of lemma zenon_L310_ *)
% 1.06/1.33 assert (zenon_L311_ : ((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> ((hskp23)\/(hskp27)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.06/1.33 do 0 intro. intros zenon_H19a zenon_Hb9 zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_H54 zenon_H1f zenon_H21 zenon_Hdd zenon_Hd9 zenon_Hd6 zenon_Hbe zenon_Hbd zenon_Hbc zenon_Hcb zenon_H51 zenon_H3e zenon_H4b zenon_H1a2 zenon_H49 zenon_Hc5 zenon_H1b3 zenon_H1e9 zenon_H11b zenon_H11d zenon_H1b7 zenon_Hef zenon_H157 zenon_H3a zenon_H74.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.06/1.33 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.06/1.33 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.06/1.33 apply (zenon_L310_); trivial.
% 1.06/1.33 apply (zenon_L296_); trivial.
% 1.06/1.33 (* end of lemma zenon_L311_ *)
% 1.06/1.33 assert (zenon_L312_ : ((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> ((hskp23)\/(hskp27)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.16/1.33 do 0 intro. intros zenon_H1b8 zenon_H1b9 zenon_Hb9 zenon_H241 zenon_Hdd zenon_Hd9 zenon_Hcb zenon_H1b3 zenon_H1e9 zenon_H11b zenon_H11d zenon_Hef zenon_H157 zenon_H3a zenon_H74 zenon_H54 zenon_H1f zenon_H21 zenon_H51 zenon_H3e zenon_H4b zenon_H1a2 zenon_H49 zenon_Hc5 zenon_H152 zenon_Hd6 zenon_H227 zenon_H226 zenon_H225 zenon_H20d zenon_H230 zenon_H177 zenon_H1b7 zenon_H5f zenon_H63 zenon_Hba.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.16/1.33 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.16/1.33 apply (zenon_L306_); trivial.
% 1.16/1.33 apply (zenon_L311_); trivial.
% 1.16/1.33 (* end of lemma zenon_L312_ *)
% 1.16/1.33 assert (zenon_L313_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> (~(hskp10)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp23)\/(hskp27)) -> (ndr1_0) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.16/1.33 do 0 intro. intros zenon_Hb3 zenon_H177 zenon_Hae zenon_H121 zenon_H122 zenon_H49 zenon_H4b zenon_H225 zenon_H226 zenon_H227 zenon_Hd6 zenon_H152 zenon_H92 zenon_Hdd zenon_H12f zenon_H114 zenon_Hcb zenon_H12 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e0 zenon_He8 zenon_Heb zenon_Hef.
% 1.16/1.33 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.16/1.33 apply (zenon_L182_); trivial.
% 1.16/1.33 apply (zenon_L278_); trivial.
% 1.16/1.33 (* end of lemma zenon_L313_ *)
% 1.16/1.33 assert (zenon_L314_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> (~(hskp10)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp23)\/(hskp27)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.16/1.33 do 0 intro. intros zenon_Hfe zenon_Hb3 zenon_H177 zenon_Hae zenon_H121 zenon_H122 zenon_H49 zenon_H4b zenon_H225 zenon_H226 zenon_H227 zenon_Hd6 zenon_H152 zenon_H92 zenon_Hdd zenon_H12f zenon_H114 zenon_Hcb zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e0 zenon_H142 zenon_H75 zenon_H1e7 zenon_Hef.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.16/1.33 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.16/1.33 apply (zenon_L189_); trivial.
% 1.16/1.33 apply (zenon_L278_); trivial.
% 1.16/1.33 (* end of lemma zenon_L314_ *)
% 1.16/1.33 assert (zenon_L315_ : ((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> ((hskp23)\/(hskp27)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.16/1.33 do 0 intro. intros zenon_H12b zenon_H101 zenon_H142 zenon_H75 zenon_H1e7 zenon_Hef zenon_Heb zenon_H1e0 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_Hcb zenon_H114 zenon_H12f zenon_Hdd zenon_H92 zenon_H152 zenon_Hd6 zenon_H227 zenon_H226 zenon_H225 zenon_H4b zenon_H49 zenon_Hae zenon_H177 zenon_Hb3.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.16/1.33 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.16/1.33 apply (zenon_L313_); trivial.
% 1.16/1.33 apply (zenon_L314_); trivial.
% 1.16/1.33 (* end of lemma zenon_L315_ *)
% 1.16/1.33 assert (zenon_L316_ : ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10)))))) -> (~(c1_1 (a2528))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (ndr1_0) -> (~(hskp29)) -> False).
% 1.16/1.33 do 0 intro. intros zenon_H1bc zenon_H105 zenon_H103 zenon_H1e2 zenon_H10d zenon_H122 zenon_H121 zenon_H120 zenon_H12 zenon_H150.
% 1.16/1.33 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H118 | zenon_intro zenon_H1bd ].
% 1.16/1.33 apply (zenon_L184_); trivial.
% 1.16/1.33 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H11f | zenon_intro zenon_H151 ].
% 1.16/1.33 apply (zenon_L83_); trivial.
% 1.16/1.33 exact (zenon_H150 zenon_H151).
% 1.16/1.33 (* end of lemma zenon_L316_ *)
% 1.16/1.33 assert (zenon_L317_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2549)) -> (~(c1_1 (a2549))) -> (~(c0_1 (a2549))) -> (~(hskp29)) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (ndr1_0) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> False).
% 1.16/1.33 do 0 intro. intros zenon_H1e5 zenon_Ha6 zenon_Ha5 zenon_Ha4 zenon_H150 zenon_H120 zenon_H121 zenon_H122 zenon_H10d zenon_H103 zenon_H105 zenon_H1bc zenon_H12 zenon_H1d7 zenon_H1d8 zenon_H1d9.
% 1.16/1.33 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H1e6 ].
% 1.16/1.33 apply (zenon_L47_); trivial.
% 1.16/1.33 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1d6 ].
% 1.16/1.33 apply (zenon_L316_); trivial.
% 1.16/1.33 apply (zenon_L176_); trivial.
% 1.16/1.33 (* end of lemma zenon_L317_ *)
% 1.16/1.33 assert (zenon_L318_ : ((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2549)) -> (~(c1_1 (a2549))) -> (~(c0_1 (a2549))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> False).
% 1.16/1.33 do 0 intro. intros zenon_H173 zenon_H1e5 zenon_Ha6 zenon_Ha5 zenon_Ha4 zenon_H225 zenon_H226 zenon_H227 zenon_H10d zenon_H103 zenon_H105 zenon_H230 zenon_H1d7 zenon_H1d8 zenon_H1d9.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.16/1.33 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H1e6 ].
% 1.16/1.33 apply (zenon_L47_); trivial.
% 1.16/1.33 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1d6 ].
% 1.16/1.33 apply (zenon_L280_); trivial.
% 1.16/1.33 apply (zenon_L176_); trivial.
% 1.16/1.33 (* end of lemma zenon_L318_ *)
% 1.16/1.33 assert (zenon_L319_ : ((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> False).
% 1.16/1.33 do 0 intro. intros zenon_Had zenon_H177 zenon_H225 zenon_H226 zenon_H227 zenon_H230 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H105 zenon_H103 zenon_H10d zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e5.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.16/1.33 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.16/1.33 apply (zenon_L317_); trivial.
% 1.16/1.33 apply (zenon_L318_); trivial.
% 1.16/1.33 (* end of lemma zenon_L319_ *)
% 1.16/1.33 assert (zenon_L320_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp23)\/(hskp27)) -> (ndr1_0) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.16/1.33 do 0 intro. intros zenon_Hb3 zenon_H177 zenon_H225 zenon_H226 zenon_H227 zenon_H230 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H105 zenon_H103 zenon_H10d zenon_H1e5 zenon_H92 zenon_Hdd zenon_H12f zenon_H114 zenon_Hcb zenon_H12 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e0 zenon_He8 zenon_Heb zenon_Hef.
% 1.16/1.33 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.16/1.33 apply (zenon_L182_); trivial.
% 1.16/1.33 apply (zenon_L319_); trivial.
% 1.16/1.33 (* end of lemma zenon_L320_ *)
% 1.16/1.33 assert (zenon_L321_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp23)\/(hskp27)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.16/1.33 do 0 intro. intros zenon_Hfe zenon_Hb3 zenon_H177 zenon_H225 zenon_H226 zenon_H227 zenon_H230 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H105 zenon_H103 zenon_H10d zenon_H1e5 zenon_H92 zenon_Hdd zenon_H12f zenon_H114 zenon_Hcb zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e0 zenon_H142 zenon_H75 zenon_H1e7 zenon_Hef.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.16/1.33 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.16/1.33 apply (zenon_L189_); trivial.
% 1.16/1.33 apply (zenon_L319_); trivial.
% 1.16/1.33 (* end of lemma zenon_L321_ *)
% 1.16/1.33 assert (zenon_L322_ : ((ndr1_0)/\((c3_1 (a2528))/\((~(c0_1 (a2528)))/\(~(c1_1 (a2528)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp23)\/(hskp27)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> False).
% 1.16/1.33 do 0 intro. intros zenon_H1d1 zenon_H12e zenon_H1bc zenon_H230 zenon_H227 zenon_H226 zenon_H225 zenon_H177 zenon_Hb3 zenon_H1e5 zenon_H11d zenon_H92 zenon_Hdd zenon_H12f zenon_H114 zenon_Hcb zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e0 zenon_Heb zenon_Hef zenon_H1e7 zenon_H75 zenon_H142 zenon_H101.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.16/1.33 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.16/1.33 apply (zenon_L191_); trivial.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.16/1.33 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.16/1.33 apply (zenon_L320_); trivial.
% 1.16/1.33 apply (zenon_L321_); trivial.
% 1.16/1.33 (* end of lemma zenon_L322_ *)
% 1.16/1.33 assert (zenon_L323_ : ((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp19)) -> (~(hskp16)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp23)\/(hskp27)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> (~(hskp2)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.16/1.33 do 0 intro. intros zenon_Had zenon_H54 zenon_H144 zenon_H3 zenon_H5 zenon_H1e9 zenon_H134 zenon_H133 zenon_H132 zenon_H92 zenon_Hdd zenon_H12f zenon_H114 zenon_Hcb zenon_H7f zenon_H9d zenon_Ha2 zenon_H1b7 zenon_H230 zenon_H152 zenon_Hd6 zenon_H227 zenon_H226 zenon_H225 zenon_H1a2 zenon_H163 zenon_H4b zenon_H49 zenon_H20d zenon_Hb zenon_H1d8 zenon_H1d9 zenon_H1f3 zenon_H174 zenon_H3e zenon_H177 zenon_H75 zenon_H142 zenon_Hef.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.16/1.33 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.16/1.33 apply (zenon_L303_); trivial.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.16/1.33 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.16/1.33 apply (zenon_L92_); trivial.
% 1.16/1.33 apply (zenon_L193_); trivial.
% 1.16/1.33 (* end of lemma zenon_L323_ *)
% 1.16/1.33 assert (zenon_L324_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (~(hskp18)) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (ndr1_0) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> (~(hskp10)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> False).
% 1.16/1.33 do 0 intro. intros zenon_H177 zenon_H20d zenon_Hb zenon_H1fc zenon_H1fb zenon_H1fa zenon_H12 zenon_H225 zenon_H226 zenon_H227 zenon_Hd6 zenon_H152.
% 1.16/1.33 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.16/1.33 apply (zenon_L257_); trivial.
% 1.16/1.33 apply (zenon_L223_); trivial.
% 1.16/1.33 (* end of lemma zenon_L324_ *)
% 1.16/1.33 assert (zenon_L325_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> (~(hskp15)) -> (~(hskp4)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (ndr1_0) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> False).
% 1.16/1.33 do 0 intro. intros zenon_Hba zenon_H63 zenon_H61 zenon_H5f zenon_H152 zenon_Hd6 zenon_H227 zenon_H226 zenon_H225 zenon_H12 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H177.
% 1.16/1.33 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.16/1.33 apply (zenon_L324_); trivial.
% 1.16/1.33 apply (zenon_L97_); trivial.
% 1.16/1.33 (* end of lemma zenon_L325_ *)
% 1.16/1.33 assert (zenon_L326_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((hskp21)\/((hskp2)\/(hskp20))) -> (~(hskp2)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (ndr1_0) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> (~(hskp10)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.16/1.33 do 0 intro. intros zenon_H1b9 zenon_Hb3 zenon_Hae zenon_H79 zenon_H75 zenon_H92 zenon_H8e zenon_H8b zenon_H7f zenon_H9d zenon_H49 zenon_Ha2 zenon_H54 zenon_H11b zenon_H11d zenon_H177 zenon_H20d zenon_H1fc zenon_H1fb zenon_H1fa zenon_H12 zenon_H225 zenon_H226 zenon_H227 zenon_Hd6 zenon_H152 zenon_H5f zenon_H63 zenon_Hba.
% 1.16/1.33 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.16/1.33 apply (zenon_L325_); trivial.
% 1.16/1.33 apply (zenon_L270_); trivial.
% 1.16/1.33 (* end of lemma zenon_L326_ *)
% 1.16/1.33 assert (zenon_L327_ : ((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (~(hskp19)) -> (~(hskp16)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> (~(hskp10)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> False).
% 1.16/1.33 do 0 intro. intros zenon_Had zenon_Hef zenon_H177 zenon_H1f3 zenon_H3 zenon_H5 zenon_H1e9 zenon_H121 zenon_H122 zenon_H49 zenon_H4b zenon_H225 zenon_H226 zenon_H227 zenon_H152 zenon_Hcb zenon_Hbc zenon_Hbd zenon_Hbe zenon_Hd6 zenon_Hd9 zenon_Hdd.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.16/1.33 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.16/1.33 apply (zenon_L62_); trivial.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.16/1.33 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.16/1.33 apply (zenon_L257_); trivial.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.16/1.33 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H1f4 ].
% 1.16/1.33 apply (zenon_L47_); trivial.
% 1.16/1.33 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H55 | zenon_intro zenon_H93 ].
% 1.16/1.33 apply (zenon_L160_); trivial.
% 1.16/1.33 apply (zenon_L192_); trivial.
% 1.16/1.33 (* end of lemma zenon_L327_ *)
% 1.16/1.33 assert (zenon_L328_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> ((hskp23)\/(hskp27)) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> (~(c3_1 (a2531))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.16/1.33 do 0 intro. intros zenon_Hb9 zenon_H54 zenon_H157 zenon_H241 zenon_Hb3 zenon_H177 zenon_H1f3 zenon_H1e9 zenon_H121 zenon_H122 zenon_H49 zenon_H4b zenon_H225 zenon_H226 zenon_H227 zenon_H152 zenon_Hdd zenon_Hd9 zenon_Hd6 zenon_Hbe zenon_Hbd zenon_Hbc zenon_Hcb zenon_He8 zenon_Heb zenon_Hef zenon_H120 zenon_H5f zenon_H129 zenon_H74.
% 1.16/1.33 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.16/1.33 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.16/1.33 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.16/1.33 apply (zenon_L66_); trivial.
% 1.16/1.33 apply (zenon_L327_); trivial.
% 1.16/1.33 apply (zenon_L84_); trivial.
% 1.16/1.33 apply (zenon_L296_); trivial.
% 1.16/1.33 (* end of lemma zenon_L328_ *)
% 1.16/1.33 assert (zenon_L329_ : ((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> False).
% 1.16/1.33 do 0 intro. intros zenon_H50 zenon_Hef zenon_H1e7 zenon_H75 zenon_H142 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H157 zenon_Hd6 zenon_H152 zenon_H68 zenon_H67 zenon_H66 zenon_H163 zenon_H174 zenon_H177.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.16/1.33 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.16/1.33 apply (zenon_L111_); trivial.
% 1.16/1.33 apply (zenon_L188_); trivial.
% 1.16/1.33 (* end of lemma zenon_L329_ *)
% 1.16/1.33 assert (zenon_L330_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> False).
% 1.16/1.33 do 0 intro. intros zenon_Hb6 zenon_H54 zenon_Hef zenon_H1e7 zenon_H75 zenon_H142 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H157 zenon_Hd6 zenon_H152 zenon_H163 zenon_H174 zenon_H177 zenon_H225 zenon_H226 zenon_H227 zenon_H241.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.16/1.33 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.16/1.33 apply (zenon_L295_); trivial.
% 1.16/1.33 apply (zenon_L329_); trivial.
% 1.16/1.33 (* end of lemma zenon_L330_ *)
% 1.16/1.33 assert (zenon_L331_ : ((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((hskp21)\/((hskp2)\/(hskp20))) -> (~(hskp2)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a2531))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((hskp23)\/(hskp27)) -> (~(hskp10)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> False).
% 1.16/1.33 do 0 intro. intros zenon_H1b8 zenon_H101 zenon_H1e7 zenon_H142 zenon_H163 zenon_H174 zenon_H79 zenon_H75 zenon_Hc5 zenon_H21 zenon_H1f zenon_H3e zenon_H51 zenon_H74 zenon_H129 zenon_H5f zenon_H120 zenon_Hef zenon_Heb zenon_Hcb zenon_Hd6 zenon_Hd9 zenon_Hdd zenon_H152 zenon_H227 zenon_H226 zenon_H225 zenon_H4b zenon_H49 zenon_H122 zenon_H121 zenon_H1e9 zenon_H1f3 zenon_H177 zenon_Hb3 zenon_H241 zenon_H157 zenon_H54 zenon_Hb9.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.16/1.33 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.16/1.33 apply (zenon_L328_); trivial.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.16/1.33 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.16/1.33 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.16/1.33 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.16/1.33 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.16/1.33 apply (zenon_L35_); trivial.
% 1.16/1.33 apply (zenon_L54_); trivial.
% 1.16/1.33 apply (zenon_L327_); trivial.
% 1.16/1.33 apply (zenon_L84_); trivial.
% 1.16/1.33 apply (zenon_L330_); trivial.
% 1.16/1.33 (* end of lemma zenon_L331_ *)
% 1.16/1.33 assert (zenon_L332_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(hskp23)) -> ((hskp23)\/(hskp27)) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> False).
% 1.16/1.33 do 0 intro. intros zenon_Ha2 zenon_H49 zenon_H9d zenon_Hdd zenon_H148 zenon_H146 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H7f zenon_Hc7 zenon_Hcb zenon_H10d zenon_H103 zenon_H105 zenon_H223 zenon_H11b zenon_H11d zenon_H92.
% 1.16/1.33 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.16/1.33 apply (zenon_L249_); trivial.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.16/1.33 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.16/1.33 apply (zenon_L44_); trivial.
% 1.16/1.33 apply (zenon_L248_); trivial.
% 1.16/1.33 (* end of lemma zenon_L332_ *)
% 1.16/1.33 assert (zenon_L333_ : ((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp14)) -> (~(c0_1 (a2528))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp16)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> (~(c3_1 (a2553))) -> (c0_1 (a2553)) -> (~(c1_1 (a2553))) -> (~(hskp19)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2528)) -> (~(c1_1 (a2528))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp11)) -> False).
% 1.16/1.33 do 0 intro. intros zenon_H8d zenon_H11d zenon_He8 zenon_H103 zenon_H218 zenon_H5 zenon_H1e9 zenon_He0 zenon_He1 zenon_Hdf zenon_H3 zenon_H223 zenon_H105 zenon_H10d zenon_H1fa zenon_H1fb zenon_H1fc zenon_H144 zenon_H11b.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H12. zenon_intro zenon_H8f.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H84. zenon_intro zenon_H90.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H82. zenon_intro zenon_H83.
% 1.16/1.33 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H102 | zenon_intro zenon_H11e ].
% 1.16/1.33 apply (zenon_L234_); trivial.
% 1.16/1.33 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H118 | zenon_intro zenon_H11c ].
% 1.16/1.33 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H131 | zenon_intro zenon_H145 ].
% 1.16/1.33 apply (zenon_L245_); trivial.
% 1.16/1.33 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H93 | zenon_intro zenon_H6 ].
% 1.16/1.33 apply (zenon_L192_); trivial.
% 1.16/1.33 exact (zenon_H5 zenon_H6).
% 1.16/1.33 exact (zenon_H11b zenon_H11c).
% 1.16/1.33 (* end of lemma zenon_L333_ *)
% 1.16/1.33 assert (zenon_L334_ : ((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp23)\/(hskp27)) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.16/1.33 do 0 intro. intros zenon_Hb2 zenon_Hb3 zenon_Hae zenon_Ha2 zenon_H49 zenon_H9d zenon_Hdd zenon_H148 zenon_H146 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H7f zenon_Hcb zenon_H10d zenon_H103 zenon_H105 zenon_H223 zenon_H11b zenon_H11d zenon_H92 zenon_He8 zenon_Heb zenon_Hef.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.16/1.33 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.16/1.33 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.16/1.33 apply (zenon_L332_); trivial.
% 1.16/1.33 apply (zenon_L65_); trivial.
% 1.16/1.33 apply (zenon_L48_); trivial.
% 1.16/1.33 (* end of lemma zenon_L334_ *)
% 1.16/1.33 assert (zenon_L335_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp9)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> ((hskp23)\/(hskp27)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp1)) -> ((hskp21)\/((hskp18)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.16/1.33 do 0 intro. intros zenon_Hb9 zenon_H6f zenon_H5f zenon_Hba zenon_Hb3 zenon_Hae zenon_Heb zenon_H54 zenon_Hef zenon_H218 zenon_He8 zenon_H144 zenon_H1e9 zenon_H92 zenon_H11d zenon_H11b zenon_H223 zenon_H105 zenon_H103 zenon_H10d zenon_Hcb zenon_H7f zenon_H1fc zenon_H1fb zenon_H1fa zenon_H148 zenon_Hdd zenon_H9d zenon_H49 zenon_Ha2 zenon_Hd zenon_Hf zenon_H3e zenon_H3a zenon_H1f zenon_H21 zenon_H4b zenon_H51 zenon_H74 zenon_H190.
% 1.16/1.33 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.16/1.33 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.16/1.33 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.16/1.33 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.16/1.33 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.16/1.33 apply (zenon_L8_); trivial.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.16/1.33 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.16/1.33 apply (zenon_L332_); trivial.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.16/1.33 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.16/1.33 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.16/1.33 apply (zenon_L38_); trivial.
% 1.16/1.33 apply (zenon_L333_); trivial.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.16/1.33 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.16/1.33 apply (zenon_L44_); trivial.
% 1.16/1.33 apply (zenon_L333_); trivial.
% 1.16/1.33 apply (zenon_L31_); trivial.
% 1.16/1.33 apply (zenon_L334_); trivial.
% 1.16/1.33 apply (zenon_L235_); trivial.
% 1.16/1.33 apply (zenon_L50_); trivial.
% 1.16/1.33 (* end of lemma zenon_L335_ *)
% 1.16/1.33 assert (zenon_L336_ : ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((hskp21)\/((hskp2)\/(hskp20))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((hskp21)\/((hskp18)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp23)\/(hskp27)) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> (~(hskp4)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp9)\/(hskp4))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> False).
% 1.16/1.33 do 0 intro. intros zenon_H101 zenon_Hfc zenon_H79 zenon_H1e7 zenon_H75 zenon_H142 zenon_H190 zenon_H74 zenon_H51 zenon_H4b zenon_H21 zenon_H1f zenon_H3a zenon_H3e zenon_Hf zenon_Hd zenon_Ha2 zenon_H49 zenon_H9d zenon_Hdd zenon_H148 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H7f zenon_Hcb zenon_H10d zenon_H103 zenon_H105 zenon_H223 zenon_H11b zenon_H11d zenon_H92 zenon_H1e9 zenon_H144 zenon_H218 zenon_Hef zenon_H54 zenon_Heb zenon_Hae zenon_Hb3 zenon_Hba zenon_H5f zenon_H6f zenon_Hb9.
% 1.16/1.33 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.16/1.33 apply (zenon_L335_); trivial.
% 1.16/1.33 apply (zenon_L253_); trivial.
% 1.16/1.33 (* end of lemma zenon_L336_ *)
% 1.16/1.33 assert (zenon_L337_ : ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c0_1 (a2564)) -> (~(c2_1 (a2564))) -> (~(c1_1 (a2564))) -> (~(hskp29)) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> (~(c1_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (ndr1_0) -> (~(c2_1 (a2524))) -> (forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52)))))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> False).
% 1.16/1.33 do 0 intro. intros zenon_H223 zenon_H84 zenon_H83 zenon_H82 zenon_H150 zenon_H120 zenon_H121 zenon_H122 zenon_H10d zenon_H105 zenon_H1bc zenon_H12 zenon_H1fa zenon_H131 zenon_H1fb zenon_H1fc.
% 1.16/1.33 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H81 | zenon_intro zenon_H224 ].
% 1.16/1.33 apply (zenon_L39_); trivial.
% 1.16/1.33 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H10c | zenon_intro zenon_H21f ].
% 1.16/1.33 apply (zenon_L156_); trivial.
% 1.16/1.33 apply (zenon_L242_); trivial.
% 1.16/1.33 (* end of lemma zenon_L337_ *)
% 1.16/1.33 assert (zenon_L338_ : ((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> (~(hskp3)) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (c0_1 (a2564)) -> (~(c2_1 (a2564))) -> (~(c1_1 (a2564))) -> (~(hskp13)) -> False).
% 1.16/1.33 do 0 intro. intros zenon_H173 zenon_H8e zenon_H49 zenon_H121 zenon_H122 zenon_H4b zenon_H84 zenon_H83 zenon_H82 zenon_H8b.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.16/1.33 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H55 | zenon_intro zenon_H91 ].
% 1.16/1.33 apply (zenon_L160_); trivial.
% 1.16/1.33 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H81 | zenon_intro zenon_H8c ].
% 1.16/1.33 apply (zenon_L39_); trivial.
% 1.16/1.33 exact (zenon_H8b zenon_H8c).
% 1.16/1.33 (* end of lemma zenon_L338_ *)
% 1.16/1.33 assert (zenon_L339_ : ((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(c1_1 (a2528))) -> (c3_1 (a2528)) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c0_1 (a2564)) -> (~(c2_1 (a2564))) -> (~(c1_1 (a2564))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> False).
% 1.16/1.33 do 0 intro. intros zenon_Hd8 zenon_H177 zenon_H8e zenon_H8b zenon_H49 zenon_H4b zenon_H223 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H10d zenon_H105 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H84 zenon_H83 zenon_H82 zenon_H146 zenon_H148.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H12. zenon_intro zenon_Hda.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_Hcf. zenon_intro zenon_Hdb.
% 1.16/1.33 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hcd. zenon_intro zenon_Hce.
% 1.16/1.33 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.16/1.33 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H131 | zenon_intro zenon_H149 ].
% 1.16/1.33 apply (zenon_L337_); trivial.
% 1.16/1.33 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hcc | zenon_intro zenon_H147 ].
% 1.16/1.34 apply (zenon_L59_); trivial.
% 1.16/1.34 exact (zenon_H146 zenon_H147).
% 1.16/1.34 apply (zenon_L338_); trivial.
% 1.16/1.34 (* end of lemma zenon_L339_ *)
% 1.16/1.34 assert (zenon_L340_ : ((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(c1_1 (a2528))) -> (c3_1 (a2528)) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp23)) -> ((hskp23)\/(hskp27)) -> False).
% 1.16/1.34 do 0 intro. intros zenon_H8d zenon_Hdd zenon_H177 zenon_H8e zenon_H8b zenon_H49 zenon_H4b zenon_H223 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H10d zenon_H105 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H146 zenon_H148 zenon_Hc7 zenon_Hcb.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H12. zenon_intro zenon_H8f.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H84. zenon_intro zenon_H90.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H82. zenon_intro zenon_H83.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hd8 ].
% 1.16/1.34 apply (zenon_L58_); trivial.
% 1.16/1.34 apply (zenon_L339_); trivial.
% 1.16/1.34 (* end of lemma zenon_L340_ *)
% 1.16/1.34 assert (zenon_L341_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (~(c1_1 (a2528))) -> (c3_1 (a2528)) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((hskp23)\/(hskp27)) -> (~(hskp23)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(hskp24)) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> False).
% 1.16/1.34 do 0 intro. intros zenon_H92 zenon_H177 zenon_H8e zenon_H8b zenon_H49 zenon_H4b zenon_H223 zenon_H10d zenon_H105 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_Hcb zenon_Hc7 zenon_H7f zenon_H7b zenon_H1fc zenon_H1fb zenon_H1fa zenon_H146 zenon_H148 zenon_Hdd.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.16/1.34 apply (zenon_L241_); trivial.
% 1.16/1.34 apply (zenon_L340_); trivial.
% 1.16/1.34 (* end of lemma zenon_L341_ *)
% 1.16/1.34 assert (zenon_L342_ : ((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(c1_1 (a2528))) -> (c3_1 (a2528)) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> (~(hskp16)) -> (~(hskp19)) -> (~(c3_1 (a2553))) -> (c0_1 (a2553)) -> (~(c1_1 (a2553))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> False).
% 1.16/1.34 do 0 intro. intros zenon_H8d zenon_H177 zenon_H8e zenon_H8b zenon_H49 zenon_H4b zenon_H223 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H10d zenon_H105 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H1e9 zenon_H5 zenon_H3 zenon_He0 zenon_He1 zenon_Hdf zenon_H144.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H12. zenon_intro zenon_H8f.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H84. zenon_intro zenon_H90.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H82. zenon_intro zenon_H83.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H131 | zenon_intro zenon_H145 ].
% 1.16/1.34 apply (zenon_L337_); trivial.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H93 | zenon_intro zenon_H6 ].
% 1.16/1.34 apply (zenon_L192_); trivial.
% 1.16/1.34 exact (zenon_H5 zenon_H6).
% 1.16/1.34 apply (zenon_L338_); trivial.
% 1.16/1.34 (* end of lemma zenon_L342_ *)
% 1.16/1.34 assert (zenon_L343_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> False).
% 1.16/1.34 do 0 intro. intros zenon_H18d zenon_H177 zenon_H230 zenon_H227 zenon_H226 zenon_H225 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.16/1.34 apply (zenon_L148_); trivial.
% 1.16/1.34 apply (zenon_L289_); trivial.
% 1.16/1.34 (* end of lemma zenon_L343_ *)
% 1.16/1.34 assert (zenon_L344_ : ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(c2_1 (a2601))) -> (c3_1 (a2601)) -> (c0_1 (a2601)) -> (forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (ndr1_0) -> (~(hskp29)) -> False).
% 1.16/1.34 do 0 intro. intros zenon_H1bc zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_H14a zenon_H122 zenon_H121 zenon_H120 zenon_H12 zenon_H150.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H118 | zenon_intro zenon_H1bd ].
% 1.16/1.34 apply (zenon_L142_); trivial.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H11f | zenon_intro zenon_H151 ].
% 1.16/1.34 apply (zenon_L83_); trivial.
% 1.16/1.34 exact (zenon_H150 zenon_H151).
% 1.16/1.34 (* end of lemma zenon_L344_ *)
% 1.16/1.34 assert (zenon_L345_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(hskp29)) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> (c0_1 (a2601)) -> (c3_1 (a2601)) -> (~(c2_1 (a2601))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (ndr1_0) -> (c0_1 (a2529)) -> (c2_1 (a2529)) -> (c3_1 (a2529)) -> False).
% 1.16/1.34 do 0 intro. intros zenon_H216 zenon_H10d zenon_H103 zenon_H105 zenon_H150 zenon_H120 zenon_H121 zenon_H122 zenon_H1a4 zenon_H1a5 zenon_H1a6 zenon_H1bc zenon_H12 zenon_H40 zenon_H41 zenon_H42.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H217 ].
% 1.16/1.34 apply (zenon_L316_); trivial.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H14a | zenon_intro zenon_H3f ].
% 1.16/1.34 apply (zenon_L344_); trivial.
% 1.16/1.34 apply (zenon_L19_); trivial.
% 1.16/1.34 (* end of lemma zenon_L345_ *)
% 1.16/1.34 assert (zenon_L346_ : ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (~(c2_1 (a2601))) -> (c3_1 (a2601)) -> (c0_1 (a2601)) -> (forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (ndr1_0) -> (c1_1 (a2556)) -> (c2_1 (a2556)) -> (c3_1 (a2556)) -> False).
% 1.16/1.34 do 0 intro. intros zenon_H230 zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_H14a zenon_H227 zenon_H226 zenon_H225 zenon_H12 zenon_H15a zenon_H15b zenon_H15c.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H118 | zenon_intro zenon_H231 ].
% 1.16/1.34 apply (zenon_L142_); trivial.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H154 | zenon_intro zenon_H159 ].
% 1.16/1.34 apply (zenon_L256_); trivial.
% 1.16/1.34 apply (zenon_L106_); trivial.
% 1.16/1.34 (* end of lemma zenon_L346_ *)
% 1.16/1.34 assert (zenon_L347_ : ((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> (c0_1 (a2601)) -> (c3_1 (a2601)) -> (~(c2_1 (a2601))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c0_1 (a2529)) -> (c2_1 (a2529)) -> (c3_1 (a2529)) -> False).
% 1.16/1.34 do 0 intro. intros zenon_H173 zenon_H216 zenon_H10d zenon_H103 zenon_H105 zenon_H225 zenon_H226 zenon_H227 zenon_H1a4 zenon_H1a5 zenon_H1a6 zenon_H230 zenon_H40 zenon_H41 zenon_H42.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H217 ].
% 1.16/1.34 apply (zenon_L280_); trivial.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H14a | zenon_intro zenon_H3f ].
% 1.16/1.34 apply (zenon_L346_); trivial.
% 1.16/1.34 apply (zenon_L19_); trivial.
% 1.16/1.34 (* end of lemma zenon_L347_ *)
% 1.16/1.34 assert (zenon_L348_ : ((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (~(c2_1 (a2601))) -> (c3_1 (a2601)) -> (c0_1 (a2601)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> False).
% 1.16/1.34 do 0 intro. intros zenon_H4d zenon_H177 zenon_H225 zenon_H226 zenon_H227 zenon_H230 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H105 zenon_H103 zenon_H10d zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_H216.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H12. zenon_intro zenon_H4e.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H40. zenon_intro zenon_H4f.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H41. zenon_intro zenon_H42.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.16/1.34 apply (zenon_L345_); trivial.
% 1.16/1.34 apply (zenon_L347_); trivial.
% 1.16/1.34 (* end of lemma zenon_L348_ *)
% 1.16/1.34 assert (zenon_L349_ : ((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> False).
% 1.16/1.34 do 0 intro. intros zenon_H1b2 zenon_H51 zenon_H177 zenon_H225 zenon_H226 zenon_H227 zenon_H230 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H105 zenon_H103 zenon_H10d zenon_H216 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H49 zenon_Hc5.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H12. zenon_intro zenon_H1b4.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H1a4. zenon_intro zenon_H1b5.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H1a5. zenon_intro zenon_H1a6.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ].
% 1.16/1.34 apply (zenon_L53_); trivial.
% 1.16/1.34 apply (zenon_L348_); trivial.
% 1.16/1.34 (* end of lemma zenon_L349_ *)
% 1.16/1.34 assert (zenon_L350_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> (ndr1_0) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(hskp21)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> False).
% 1.16/1.34 do 0 intro. intros zenon_H1b7 zenon_H177 zenon_H225 zenon_H226 zenon_H227 zenon_H230 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H105 zenon_H103 zenon_H10d zenon_H216 zenon_Hc5 zenon_H49 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H12 zenon_H1a2 zenon_H9 zenon_H4b zenon_H3e zenon_H51.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1b2 ].
% 1.16/1.34 apply (zenon_L141_); trivial.
% 1.16/1.34 apply (zenon_L349_); trivial.
% 1.16/1.34 (* end of lemma zenon_L350_ *)
% 1.16/1.34 assert (zenon_L351_ : ((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> False).
% 1.16/1.34 do 0 intro. intros zenon_H1b8 zenon_H54 zenon_H1f zenon_H21 zenon_H51 zenon_H3e zenon_H4b zenon_H1a2 zenon_H49 zenon_Hc5 zenon_H216 zenon_H10d zenon_H103 zenon_H105 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H230 zenon_H227 zenon_H226 zenon_H225 zenon_H177 zenon_H1b7.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.16/1.34 apply (zenon_L350_); trivial.
% 1.16/1.34 apply (zenon_L54_); trivial.
% 1.16/1.34 (* end of lemma zenon_L351_ *)
% 1.16/1.34 assert (zenon_L352_ : ((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534))))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(c0_1 (a2528))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((hskp21)\/((hskp18)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp23)\/(hskp27)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c3_1 (a2528)) -> (~(c1_1 (a2528))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> (~(hskp2)) -> ((hskp21)\/((hskp2)\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> (~(hskp4)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp9)\/(hskp4))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> False).
% 1.16/1.34 do 0 intro. intros zenon_H12b zenon_H1d5 zenon_H1a2 zenon_Hc5 zenon_H216 zenon_H103 zenon_H1b7 zenon_H190 zenon_H230 zenon_H227 zenon_H226 zenon_H225 zenon_H74 zenon_H51 zenon_H21 zenon_H1f zenon_H3a zenon_H3e zenon_Hf zenon_Hd zenon_Ha2 zenon_H9d zenon_Hdd zenon_H148 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H7f zenon_Hcb zenon_H1bc zenon_H105 zenon_H10d zenon_H223 zenon_H4b zenon_H49 zenon_H8e zenon_H177 zenon_H92 zenon_H1e9 zenon_H144 zenon_Hef zenon_H54 zenon_H75 zenon_H79 zenon_Hae zenon_Hb3 zenon_Hba zenon_H5f zenon_H6f zenon_Hb9.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.16/1.34 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.16/1.34 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.16/1.34 apply (zenon_L8_); trivial.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.16/1.34 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.16/1.34 apply (zenon_L341_); trivial.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.16/1.34 apply (zenon_L44_); trivial.
% 1.16/1.34 apply (zenon_L340_); trivial.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.16/1.34 apply (zenon_L38_); trivial.
% 1.16/1.34 apply (zenon_L342_); trivial.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.16/1.34 apply (zenon_L44_); trivial.
% 1.16/1.34 apply (zenon_L342_); trivial.
% 1.16/1.34 apply (zenon_L31_); trivial.
% 1.16/1.34 apply (zenon_L49_); trivial.
% 1.16/1.34 apply (zenon_L343_); trivial.
% 1.16/1.34 apply (zenon_L50_); trivial.
% 1.16/1.34 apply (zenon_L351_); trivial.
% 1.16/1.34 (* end of lemma zenon_L352_ *)
% 1.16/1.34 assert (zenon_L353_ : ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (c1_1 (a2551)) -> (c0_1 (a2551)) -> (forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))) -> (~(c2_1 (a2551))) -> (ndr1_0) -> (~(hskp17)) -> False).
% 1.16/1.34 do 0 intro. intros zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_H16 zenon_H15 zenon_H14a zenon_H14 zenon_H12 zenon_H146.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H131 | zenon_intro zenon_H149 ].
% 1.16/1.34 apply (zenon_L93_); trivial.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hcc | zenon_intro zenon_H147 ].
% 1.16/1.34 apply (zenon_L129_); trivial.
% 1.16/1.34 exact (zenon_H146 zenon_H147).
% 1.16/1.34 (* end of lemma zenon_L353_ *)
% 1.16/1.34 assert (zenon_L354_ : ((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> (~(c0_1 (a2539))) -> (~(c2_1 (a2539))) -> (c3_1 (a2539)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> (~(hskp10)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> False).
% 1.16/1.34 do 0 intro. intros zenon_H50 zenon_Hef zenon_H191 zenon_H192 zenon_H193 zenon_H157 zenon_H148 zenon_H146 zenon_H134 zenon_H133 zenon_H132 zenon_H1b3 zenon_Hcb zenon_Hbc zenon_Hbd zenon_Hbe zenon_Hd6 zenon_Hd9 zenon_Hdd.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.16/1.34 apply (zenon_L62_); trivial.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hdc ].
% 1.16/1.34 apply (zenon_L52_); trivial.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hd7 ].
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H102 | zenon_intro zenon_H1b6 ].
% 1.16/1.34 apply (zenon_L125_); trivial.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H93 | zenon_intro zenon_H14a ].
% 1.16/1.34 apply (zenon_L130_); trivial.
% 1.16/1.34 apply (zenon_L353_); trivial.
% 1.16/1.34 exact (zenon_Hd6 zenon_Hd7).
% 1.16/1.34 (* end of lemma zenon_L354_ *)
% 1.16/1.34 assert (zenon_L355_ : ((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> (~(hskp10)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.16/1.34 do 0 intro. intros zenon_H19a zenon_Hb9 zenon_H54 zenon_H157 zenon_H1b3 zenon_Hbc zenon_Hbd zenon_Hbe zenon_Hd6 zenon_Hd9 zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H241 zenon_H227 zenon_H226 zenon_H225 zenon_H144 zenon_Hef zenon_H11b zenon_H11d zenon_H190.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.16/1.34 apply (zenon_L293_); trivial.
% 1.16/1.34 apply (zenon_L354_); trivial.
% 1.16/1.34 apply (zenon_L126_); trivial.
% 1.16/1.34 apply (zenon_L296_); trivial.
% 1.16/1.34 (* end of lemma zenon_L355_ *)
% 1.16/1.34 assert (zenon_L356_ : ((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> (~(hskp10)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.16/1.34 do 0 intro. intros zenon_H1b8 zenon_H1b9 zenon_Hb9 zenon_H54 zenon_H157 zenon_H1b3 zenon_Hd9 zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H241 zenon_H144 zenon_Hef zenon_H11b zenon_H11d zenon_H190 zenon_H177 zenon_H20d zenon_H1fc zenon_H1fb zenon_H1fa zenon_H225 zenon_H226 zenon_H227 zenon_Hd6 zenon_H152 zenon_H5f zenon_H63 zenon_Hba.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.16/1.34 apply (zenon_L325_); trivial.
% 1.16/1.34 apply (zenon_L355_); trivial.
% 1.16/1.34 (* end of lemma zenon_L356_ *)
% 1.16/1.34 assert (zenon_L357_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.16/1.34 do 0 intro. intros zenon_H190 zenon_H177 zenon_H230 zenon_H227 zenon_H226 zenon_H225 zenon_H1bc zenon_Hef zenon_H144 zenon_H5 zenon_H1e9 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_Hdd zenon_H120 zenon_H121 zenon_H122 zenon_H5f zenon_H129 zenon_H74.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.16/1.34 apply (zenon_L194_); trivial.
% 1.16/1.34 apply (zenon_L84_); trivial.
% 1.16/1.34 apply (zenon_L343_); trivial.
% 1.16/1.34 (* end of lemma zenon_L357_ *)
% 1.16/1.34 assert (zenon_L358_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (~(hskp2)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.16/1.34 do 0 intro. intros zenon_Hb9 zenon_Hba zenon_Ha2 zenon_H92 zenon_H8e zenon_H8b zenon_H49 zenon_H9d zenon_H18b zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H75 zenon_H142 zenon_H74 zenon_H129 zenon_H5f zenon_H122 zenon_H121 zenon_H120 zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H1e9 zenon_H144 zenon_Hef zenon_H1bc zenon_H225 zenon_H226 zenon_H227 zenon_H230 zenon_H177 zenon_H190.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.16/1.34 apply (zenon_L357_); trivial.
% 1.16/1.34 apply (zenon_L226_); trivial.
% 1.16/1.34 (* end of lemma zenon_L358_ *)
% 1.16/1.34 assert (zenon_L359_ : ((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.16/1.34 do 0 intro. intros zenon_H1b8 zenon_Hb9 zenon_H54 zenon_Hd9 zenon_Hd6 zenon_H157 zenon_H241 zenon_H74 zenon_H129 zenon_H5f zenon_H122 zenon_H121 zenon_H120 zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H1e9 zenon_H144 zenon_Hef zenon_H1bc zenon_H225 zenon_H226 zenon_H227 zenon_H230 zenon_H177 zenon_H190.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.16/1.34 apply (zenon_L357_); trivial.
% 1.16/1.34 apply (zenon_L296_); trivial.
% 1.16/1.34 (* end of lemma zenon_L359_ *)
% 1.16/1.34 assert (zenon_L360_ : ((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> False).
% 1.16/1.34 do 0 intro. intros zenon_H12b zenon_H1d5 zenon_H54 zenon_Hd9 zenon_Hd6 zenon_H157 zenon_H241 zenon_H190 zenon_H177 zenon_H230 zenon_H227 zenon_H226 zenon_H225 zenon_H1bc zenon_Hef zenon_H144 zenon_H1e9 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_Hdd zenon_H5f zenon_H129 zenon_H74 zenon_H142 zenon_H75 zenon_H20d zenon_H1fc zenon_H1fb zenon_H1fa zenon_H18b zenon_H9d zenon_H49 zenon_H8e zenon_H92 zenon_Ha2 zenon_Hba zenon_Hb9.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.16/1.34 apply (zenon_L358_); trivial.
% 1.16/1.34 apply (zenon_L359_); trivial.
% 1.16/1.34 (* end of lemma zenon_L360_ *)
% 1.16/1.34 assert (zenon_L361_ : (forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32)))))) -> (ndr1_0) -> (~(c1_1 (a2548))) -> (forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> False).
% 1.16/1.34 do 0 intro. intros zenon_H118 zenon_H12 zenon_H24 zenon_H3f zenon_H25 zenon_H26.
% 1.16/1.34 generalize (zenon_H118 (a2548)). zenon_intro zenon_H24c.
% 1.16/1.34 apply (zenon_imply_s _ _ zenon_H24c); [ zenon_intro zenon_H11 | zenon_intro zenon_H24d ].
% 1.16/1.34 exact (zenon_H11 zenon_H12).
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H2a | zenon_intro zenon_H24e ].
% 1.16/1.34 exact (zenon_H24 zenon_H2a).
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H24f | zenon_intro zenon_H2b ].
% 1.16/1.34 generalize (zenon_H3f (a2548)). zenon_intro zenon_H250.
% 1.16/1.34 apply (zenon_imply_s _ _ zenon_H250); [ zenon_intro zenon_H11 | zenon_intro zenon_H251 ].
% 1.16/1.34 exact (zenon_H11 zenon_H12).
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H2c | zenon_intro zenon_H252 ].
% 1.16/1.34 exact (zenon_H2c zenon_H25).
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H253 | zenon_intro zenon_H2b ].
% 1.16/1.34 exact (zenon_H253 zenon_H24f).
% 1.16/1.34 exact (zenon_H2b zenon_H26).
% 1.16/1.34 exact (zenon_H2b zenon_H26).
% 1.16/1.34 (* end of lemma zenon_L361_ *)
% 1.16/1.34 assert (zenon_L362_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (~(hskp17)) -> (~(c2_1 (a2551))) -> (c0_1 (a2551)) -> (c1_1 (a2551)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32)))))) -> (ndr1_0) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> False).
% 1.16/1.34 do 0 intro. intros zenon_H216 zenon_H105 zenon_H103 zenon_H10d zenon_H146 zenon_H14 zenon_H15 zenon_H16 zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_H118 zenon_H12 zenon_H24 zenon_H25 zenon_H26.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H217 ].
% 1.16/1.34 apply (zenon_L184_); trivial.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H14a | zenon_intro zenon_H3f ].
% 1.16/1.34 apply (zenon_L353_); trivial.
% 1.16/1.34 apply (zenon_L361_); trivial.
% 1.16/1.34 (* end of lemma zenon_L362_ *)
% 1.16/1.34 assert (zenon_L363_ : ((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c2_1 (a2545)) -> (c1_1 (a2545)) -> (~(c0_1 (a2545))) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (c1_1 (a2551)) -> (c0_1 (a2551)) -> (~(c2_1 (a2551))) -> (~(hskp17)) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> False).
% 1.16/1.34 do 0 intro. intros zenon_Hea zenon_H189 zenon_H58 zenon_H57 zenon_H56 zenon_H26 zenon_H25 zenon_H24 zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_H16 zenon_H15 zenon_H14 zenon_H146 zenon_H10d zenon_H103 zenon_H105 zenon_H216.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H55 | zenon_intro zenon_H18a ].
% 1.16/1.34 apply (zenon_L25_); trivial.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H118 | zenon_intro zenon_Hde ].
% 1.16/1.34 apply (zenon_L362_); trivial.
% 1.16/1.34 apply (zenon_L63_); trivial.
% 1.16/1.34 (* end of lemma zenon_L363_ *)
% 1.16/1.34 assert (zenon_L364_ : ((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c2_1 (a2545)) -> (c1_1 (a2545)) -> (~(c0_1 (a2545))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> False).
% 1.16/1.34 do 0 intro. intros zenon_H50 zenon_Hef zenon_H189 zenon_H10d zenon_H103 zenon_H105 zenon_H24 zenon_H25 zenon_H26 zenon_H216 zenon_H58 zenon_H57 zenon_H56 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H146 zenon_H148 zenon_Hdd.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.16/1.34 apply (zenon_L100_); trivial.
% 1.16/1.34 apply (zenon_L363_); trivial.
% 1.16/1.34 (* end of lemma zenon_L364_ *)
% 1.16/1.34 assert (zenon_L365_ : ((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c2_1 (a2545)) -> (c1_1 (a2545)) -> (~(c0_1 (a2545))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (~(hskp16)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.16/1.34 do 0 intro. intros zenon_H71 zenon_H54 zenon_H189 zenon_H10d zenon_H103 zenon_H105 zenon_H216 zenon_H58 zenon_H57 zenon_H56 zenon_Hdd zenon_H148 zenon_H146 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H241 zenon_H227 zenon_H226 zenon_H225 zenon_H5 zenon_H144 zenon_Hef.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.16/1.34 apply (zenon_L293_); trivial.
% 1.16/1.34 apply (zenon_L364_); trivial.
% 1.16/1.34 (* end of lemma zenon_L365_ *)
% 1.16/1.34 assert (zenon_L366_ : ((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> (~(hskp16)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.16/1.34 do 0 intro. intros zenon_Hb2 zenon_H74 zenon_H54 zenon_H189 zenon_H10d zenon_H103 zenon_H105 zenon_H216 zenon_H241 zenon_H227 zenon_H226 zenon_H225 zenon_Hdd zenon_H148 zenon_H146 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H1e9 zenon_H5 zenon_H144 zenon_Hef.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.16/1.34 apply (zenon_L194_); trivial.
% 1.16/1.34 apply (zenon_L365_); trivial.
% 1.16/1.34 (* end of lemma zenon_L366_ *)
% 1.16/1.34 assert (zenon_L367_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.16/1.34 do 0 intro. intros zenon_Hba zenon_H189 zenon_Hef zenon_H144 zenon_H5 zenon_H1e9 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H146 zenon_H148 zenon_Hdd zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_Hc5 zenon_H49 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H216 zenon_H105 zenon_H103 zenon_H10d zenon_H11b zenon_H11d zenon_H51 zenon_H54 zenon_H74.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.16/1.34 apply (zenon_L194_); trivial.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.16/1.34 apply (zenon_L293_); trivial.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ].
% 1.16/1.34 apply (zenon_L220_); trivial.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H12. zenon_intro zenon_H4e.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H40. zenon_intro zenon_H4f.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H41. zenon_intro zenon_H42.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H102 | zenon_intro zenon_H11e ].
% 1.16/1.34 apply (zenon_L230_); trivial.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H118 | zenon_intro zenon_H11c ].
% 1.16/1.34 apply (zenon_L362_); trivial.
% 1.16/1.34 exact (zenon_H11b zenon_H11c).
% 1.16/1.34 apply (zenon_L366_); trivial.
% 1.16/1.34 (* end of lemma zenon_L367_ *)
% 1.16/1.34 assert (zenon_L368_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((hskp21)\/((hskp2)\/(hskp20))) -> (~(hskp2)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> (~(hskp16)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.16/1.34 do 0 intro. intros zenon_H190 zenon_Hb3 zenon_Hae zenon_H79 zenon_H75 zenon_H92 zenon_H8e zenon_H8b zenon_H7f zenon_H9d zenon_Ha2 zenon_H74 zenon_H54 zenon_H51 zenon_H11d zenon_H11b zenon_H10d zenon_H103 zenon_H105 zenon_H216 zenon_H20d zenon_H1fc zenon_H1fb zenon_H1fa zenon_H49 zenon_Hc5 zenon_H241 zenon_H227 zenon_H226 zenon_H225 zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H1e9 zenon_H5 zenon_H144 zenon_Hef zenon_H189 zenon_Hba.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.16/1.34 apply (zenon_L367_); trivial.
% 1.16/1.34 apply (zenon_L233_); trivial.
% 1.16/1.34 (* end of lemma zenon_L368_ *)
% 1.16/1.34 assert (zenon_L369_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(hskp13)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> (~(hskp2)) -> ((hskp21)\/((hskp2)\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.16/1.34 do 0 intro. intros zenon_Hfe zenon_Hb9 zenon_H18b zenon_H142 zenon_H1e7 zenon_Hba zenon_H189 zenon_Hef zenon_H144 zenon_H1e9 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_Hdd zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_Hc5 zenon_H49 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H216 zenon_H105 zenon_H103 zenon_H10d zenon_H11b zenon_H11d zenon_H51 zenon_H54 zenon_H74 zenon_Ha2 zenon_H9d zenon_H7f zenon_H8b zenon_H8e zenon_H92 zenon_H75 zenon_H79 zenon_Hae zenon_Hb3 zenon_H190.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.16/1.34 apply (zenon_L368_); trivial.
% 1.16/1.34 apply (zenon_L207_); trivial.
% 1.16/1.34 (* end of lemma zenon_L369_ *)
% 1.16/1.34 assert (zenon_L370_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c2_1 (a2524))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> False).
% 1.16/1.34 do 0 intro. intros zenon_H18d zenon_H51 zenon_H11d zenon_H11b zenon_H103 zenon_H105 zenon_H1fa zenon_H1fc zenon_H1fb zenon_H216 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H49 zenon_Hc5.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ].
% 1.16/1.34 apply (zenon_L53_); trivial.
% 1.16/1.34 apply (zenon_L231_); trivial.
% 1.16/1.34 (* end of lemma zenon_L370_ *)
% 1.16/1.34 assert (zenon_L371_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> (~(hskp16)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.16/1.34 do 0 intro. intros zenon_H190 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H74 zenon_H54 zenon_H51 zenon_H11d zenon_H11b zenon_H10d zenon_H103 zenon_H105 zenon_H216 zenon_H20d zenon_H1fc zenon_H1fb zenon_H1fa zenon_H49 zenon_Hc5 zenon_H241 zenon_H227 zenon_H226 zenon_H225 zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H1e9 zenon_H5 zenon_H144 zenon_Hef zenon_H189 zenon_Hba.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.16/1.34 apply (zenon_L367_); trivial.
% 1.16/1.34 apply (zenon_L370_); trivial.
% 1.16/1.34 (* end of lemma zenon_L371_ *)
% 1.16/1.34 assert (zenon_L372_ : ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25)))))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (ndr1_0) -> (~(hskp14)) -> False).
% 1.16/1.34 do 0 intro. intros zenon_H254 zenon_H67 zenon_H66 zenon_Hcc zenon_H1fc zenon_H1fb zenon_H1fa zenon_H12 zenon_He8.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H255 ].
% 1.16/1.34 apply (zenon_L153_); trivial.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H1f9 | zenon_intro zenon_He9 ].
% 1.16/1.34 apply (zenon_L216_); trivial.
% 1.16/1.34 exact (zenon_He8 zenon_He9).
% 1.16/1.34 (* end of lemma zenon_L372_ *)
% 1.16/1.34 assert (zenon_L373_ : ((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(c0_1 (a2528))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(hskp17)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(hskp14)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c0_1 (a2564)) -> (~(c2_1 (a2564))) -> (~(c1_1 (a2564))) -> (c3_1 (a2528)) -> (~(c1_1 (a2528))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp11)) -> False).
% 1.16/1.34 do 0 intro. intros zenon_H4d zenon_H11d zenon_H103 zenon_H216 zenon_H146 zenon_H254 zenon_H67 zenon_H66 zenon_H1fc zenon_H1fb zenon_H1fa zenon_He8 zenon_H223 zenon_H84 zenon_H83 zenon_H82 zenon_H105 zenon_H10d zenon_H148 zenon_H11b.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H12. zenon_intro zenon_H4e.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H40. zenon_intro zenon_H4f.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H41. zenon_intro zenon_H42.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H102 | zenon_intro zenon_H11e ].
% 1.16/1.34 apply (zenon_L230_); trivial.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H118 | zenon_intro zenon_H11c ].
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H131 | zenon_intro zenon_H149 ].
% 1.16/1.34 apply (zenon_L245_); trivial.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hcc | zenon_intro zenon_H147 ].
% 1.16/1.34 apply (zenon_L372_); trivial.
% 1.16/1.34 exact (zenon_H146 zenon_H147).
% 1.16/1.34 exact (zenon_H11b zenon_H11c).
% 1.16/1.34 (* end of lemma zenon_L373_ *)
% 1.16/1.34 assert (zenon_L374_ : (forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23)))))) -> (ndr1_0) -> (forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25)))))) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> False).
% 1.16/1.34 do 0 intro. intros zenon_H81 zenon_H12 zenon_Hcc zenon_H66 zenon_H67 zenon_H68.
% 1.16/1.34 generalize (zenon_H81 (a2540)). zenon_intro zenon_H256.
% 1.16/1.34 apply (zenon_imply_s _ _ zenon_H256); [ zenon_intro zenon_H11 | zenon_intro zenon_H257 ].
% 1.16/1.34 exact (zenon_H11 zenon_H12).
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H1be | zenon_intro zenon_H258 ].
% 1.16/1.34 apply (zenon_L152_); trivial.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H6c | zenon_intro zenon_H6d ].
% 1.16/1.34 exact (zenon_H66 zenon_H6c).
% 1.16/1.34 exact (zenon_H6d zenon_H68).
% 1.16/1.34 (* end of lemma zenon_L374_ *)
% 1.16/1.34 assert (zenon_L375_ : ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25)))))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (ndr1_0) -> (~(c2_1 (a2524))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31)))))) -> (c3_1 (a2524)) -> False).
% 1.16/1.34 do 0 intro. intros zenon_H223 zenon_H68 zenon_H67 zenon_H66 zenon_Hcc zenon_H105 zenon_H103 zenon_H10d zenon_H12 zenon_H1fa zenon_H102 zenon_H1fc.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H81 | zenon_intro zenon_H224 ].
% 1.16/1.34 apply (zenon_L374_); trivial.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H10c | zenon_intro zenon_H21f ].
% 1.16/1.34 apply (zenon_L76_); trivial.
% 1.16/1.34 apply (zenon_L251_); trivial.
% 1.16/1.34 (* end of lemma zenon_L375_ *)
% 1.16/1.34 assert (zenon_L376_ : ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (c3_1 (a2524)) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31)))))) -> (~(c2_1 (a2524))) -> (ndr1_0) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (~(hskp17)) -> False).
% 1.16/1.34 do 0 intro. intros zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_H1fc zenon_H102 zenon_H1fa zenon_H12 zenon_H10d zenon_H103 zenon_H105 zenon_H66 zenon_H67 zenon_H68 zenon_H223 zenon_H146.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H131 | zenon_intro zenon_H149 ].
% 1.16/1.34 apply (zenon_L93_); trivial.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hcc | zenon_intro zenon_H147 ].
% 1.16/1.34 apply (zenon_L375_); trivial.
% 1.16/1.34 exact (zenon_H146 zenon_H147).
% 1.16/1.34 (* end of lemma zenon_L376_ *)
% 1.16/1.34 assert (zenon_L377_ : ((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (~(c2_1 (a2524))) -> (c3_1 (a2524)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (c1_1 (a2551)) -> (c0_1 (a2551)) -> (~(c2_1 (a2551))) -> (~(hskp17)) -> False).
% 1.16/1.34 do 0 intro. intros zenon_H9f zenon_H1b3 zenon_H223 zenon_H68 zenon_H67 zenon_H66 zenon_H105 zenon_H103 zenon_H10d zenon_H1fa zenon_H1fc zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_H16 zenon_H15 zenon_H14 zenon_H146.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H102 | zenon_intro zenon_H1b6 ].
% 1.16/1.34 apply (zenon_L376_); trivial.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H93 | zenon_intro zenon_H14a ].
% 1.16/1.34 apply (zenon_L43_); trivial.
% 1.16/1.34 apply (zenon_L353_); trivial.
% 1.16/1.34 (* end of lemma zenon_L377_ *)
% 1.16/1.34 assert (zenon_L378_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (c3_1 (a2526)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp14)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> (~(c1_1 (a2528))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> (~(hskp1)) -> ((hskp21)\/((hskp18)\/(hskp1))) -> (~(hskp4)) -> (~(hskp15)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.16/1.34 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H54 zenon_Ha2 zenon_H1b3 zenon_H7f zenon_Hc5 zenon_H49 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H133 zenon_H132 zenon_H134 zenon_H20d zenon_H216 zenon_H105 zenon_H103 zenon_H148 zenon_He8 zenon_H254 zenon_H10d zenon_H223 zenon_H11b zenon_H11d zenon_H51 zenon_H92 zenon_Hd zenon_Hf zenon_H5f zenon_H61 zenon_H63 zenon_Hba.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.16/1.34 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.16/1.34 apply (zenon_L8_); trivial.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.16/1.34 apply (zenon_L38_); trivial.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H12. zenon_intro zenon_H8f.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H84. zenon_intro zenon_H90.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H82. zenon_intro zenon_H83.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ].
% 1.16/1.34 apply (zenon_L220_); trivial.
% 1.16/1.34 apply (zenon_L373_); trivial.
% 1.16/1.34 apply (zenon_L377_); trivial.
% 1.16/1.34 apply (zenon_L97_); trivial.
% 1.16/1.34 apply (zenon_L370_); trivial.
% 1.16/1.34 (* end of lemma zenon_L378_ *)
% 1.16/1.34 assert (zenon_L379_ : ((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (c3_1 (a2539)) -> (~(c2_1 (a2539))) -> (~(c0_1 (a2539))) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (~(hskp17)) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(hskp11)) -> False).
% 1.16/1.34 do 0 intro. intros zenon_H50 zenon_H11d zenon_H193 zenon_H192 zenon_H191 zenon_H26 zenon_H25 zenon_H24 zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_H146 zenon_H10d zenon_H103 zenon_H105 zenon_H216 zenon_H11b.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H102 | zenon_intro zenon_H11e ].
% 1.16/1.34 apply (zenon_L125_); trivial.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H118 | zenon_intro zenon_H11c ].
% 1.16/1.34 apply (zenon_L362_); trivial.
% 1.16/1.34 exact (zenon_H11b zenon_H11c).
% 1.16/1.34 (* end of lemma zenon_L379_ *)
% 1.16/1.34 assert (zenon_L380_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (~(c0_1 (a2539))) -> (~(c2_1 (a2539))) -> (c3_1 (a2539)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.16/1.34 do 0 intro. intros zenon_H190 zenon_Hef zenon_H144 zenon_H5 zenon_H1e9 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_Hdd zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_H191 zenon_H192 zenon_H193 zenon_H216 zenon_H105 zenon_H103 zenon_H10d zenon_H11b zenon_H11d zenon_H54 zenon_H74.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.16/1.34 apply (zenon_L194_); trivial.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.16/1.34 apply (zenon_L293_); trivial.
% 1.16/1.34 apply (zenon_L379_); trivial.
% 1.16/1.34 apply (zenon_L126_); trivial.
% 1.16/1.34 (* end of lemma zenon_L380_ *)
% 1.16/1.34 assert (zenon_L381_ : ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c3_1 (a2539)) -> (forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32)))))) -> (~(c2_1 (a2539))) -> (c3_1 (a2526)) -> (~(c0_1 (a2526))) -> (forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28)))))) -> (c1_1 (a2526)) -> (ndr1_0) -> (~(hskp18)) -> False).
% 1.16/1.34 do 0 intro. intros zenon_H20d zenon_H193 zenon_H118 zenon_H192 zenon_H134 zenon_H132 zenon_Hbb zenon_H133 zenon_H12 zenon_Hb.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H20e ].
% 1.16/1.34 apply (zenon_L267_); trivial.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H159 | zenon_intro zenon_Hc ].
% 1.16/1.34 apply (zenon_L219_); trivial.
% 1.16/1.34 exact (zenon_Hb zenon_Hc).
% 1.16/1.34 (* end of lemma zenon_L381_ *)
% 1.16/1.34 assert (zenon_L382_ : ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp11)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c3_1 (a2539)) -> (~(c2_1 (a2539))) -> (c3_1 (a2526)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (ndr1_0) -> (~(hskp18)) -> (~(c0_1 (a2539))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp28)) -> (~(hskp3)) -> False).
% 1.16/1.34 do 0 intro. intros zenon_Hc5 zenon_H11b zenon_H20d zenon_H193 zenon_H192 zenon_H134 zenon_H132 zenon_H133 zenon_H12 zenon_Hb zenon_H191 zenon_H11d zenon_H37 zenon_H49.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hc6 ].
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H102 | zenon_intro zenon_H11e ].
% 1.16/1.34 apply (zenon_L125_); trivial.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H118 | zenon_intro zenon_H11c ].
% 1.16/1.34 apply (zenon_L381_); trivial.
% 1.16/1.34 exact (zenon_H11b zenon_H11c).
% 1.16/1.34 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H38 | zenon_intro zenon_H4a ].
% 1.16/1.34 exact (zenon_H37 zenon_H38).
% 1.16/1.34 exact (zenon_H49 zenon_H4a).
% 1.16/1.34 (* end of lemma zenon_L382_ *)
% 1.16/1.34 assert (zenon_L383_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a2545)) -> (c1_1 (a2545)) -> (~(c0_1 (a2545))) -> (ndr1_0) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(hskp19)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> False).
% 1.16/1.34 do 0 intro. intros zenon_Hb3 zenon_Hae zenon_H49 zenon_H58 zenon_H57 zenon_H56 zenon_H12 zenon_H132 zenon_H133 zenon_H134 zenon_H1c7 zenon_H3 zenon_H67 zenon_H66 zenon_H146 zenon_H148.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.16/1.34 apply (zenon_L155_); trivial.
% 1.16/1.34 apply (zenon_L48_); trivial.
% 1.16/1.34 (* end of lemma zenon_L383_ *)
% 1.16/1.34 assert (zenon_L384_ : ((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((hskp23)\/(hskp27)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> (c0_1 (a2540)) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (~(hskp3)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.16/1.34 do 0 intro. intros zenon_Hb2 zenon_H74 zenon_H54 zenon_Hef zenon_H189 zenon_H10d zenon_H103 zenon_H105 zenon_H216 zenon_Hcb zenon_Hdd zenon_H68 zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_H148 zenon_H146 zenon_H66 zenon_H67 zenon_H1c7 zenon_H134 zenon_H133 zenon_H132 zenon_H49 zenon_Hae zenon_Hb3.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.16/1.34 apply (zenon_L383_); trivial.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.16/1.34 apply (zenon_L295_); trivial.
% 1.16/1.34 apply (zenon_L364_); trivial.
% 1.16/1.34 (* end of lemma zenon_L384_ *)
% 1.16/1.34 assert (zenon_L385_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> (~(c0_1 (a2539))) -> (~(c2_1 (a2539))) -> (c3_1 (a2539)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c3_1 (a2526)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> (~(c2_1 (a2524))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp14)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> (~(c1_1 (a2528))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> (~(hskp1)) -> ((hskp21)\/((hskp18)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((hskp23)\/(hskp27)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.16/1.34 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_H54 zenon_Ha2 zenon_H1b3 zenon_H7f zenon_Hc5 zenon_H49 zenon_H191 zenon_H192 zenon_H193 zenon_H20d zenon_H134 zenon_H132 zenon_H133 zenon_H11b zenon_H11d zenon_H216 zenon_H1fb zenon_H1fc zenon_H1fa zenon_H105 zenon_H103 zenon_H148 zenon_He8 zenon_H254 zenon_H10d zenon_H223 zenon_H51 zenon_H92 zenon_Hd zenon_Hf zenon_Hb3 zenon_Hae zenon_H1c7 zenon_H241 zenon_H227 zenon_H226 zenon_H225 zenon_Hdd zenon_Hcb zenon_H189 zenon_Hef zenon_H74 zenon_Hba.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.16/1.34 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.16/1.34 apply (zenon_L8_); trivial.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.16/1.34 apply (zenon_L38_); trivial.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H12. zenon_intro zenon_H8f.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H84. zenon_intro zenon_H90.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H82. zenon_intro zenon_H83.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ].
% 1.16/1.34 apply (zenon_L382_); trivial.
% 1.16/1.34 apply (zenon_L373_); trivial.
% 1.16/1.34 apply (zenon_L377_); trivial.
% 1.16/1.34 apply (zenon_L384_); trivial.
% 1.16/1.34 apply (zenon_L126_); trivial.
% 1.16/1.34 (* end of lemma zenon_L385_ *)
% 1.16/1.34 assert (zenon_L386_ : ((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(hskp14)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> (~(hskp1)) -> ((hskp21)\/((hskp18)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.16/1.34 do 0 intro. intros zenon_H19a zenon_Hb9 zenon_Ha2 zenon_H1b3 zenon_H7f zenon_Hc5 zenon_H49 zenon_H20d zenon_H1fb zenon_H1fc zenon_H1fa zenon_He8 zenon_H254 zenon_H223 zenon_H51 zenon_H92 zenon_Hd zenon_Hf zenon_Hb3 zenon_Hae zenon_H1c7 zenon_H189 zenon_Hba zenon_H74 zenon_H54 zenon_H11d zenon_H11b zenon_H10d zenon_H103 zenon_H105 zenon_H216 zenon_H241 zenon_H227 zenon_H226 zenon_H225 zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H1e9 zenon_H144 zenon_Hef zenon_H190.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.16/1.34 apply (zenon_L380_); trivial.
% 1.16/1.34 apply (zenon_L385_); trivial.
% 1.16/1.34 (* end of lemma zenon_L386_ *)
% 1.16/1.34 assert (zenon_L387_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> (ndr1_0) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(hskp19)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> False).
% 1.16/1.34 do 0 intro. intros zenon_Hb3 zenon_Hfc zenon_Hd zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H12 zenon_H132 zenon_H133 zenon_H134 zenon_H1c7 zenon_H3 zenon_H67 zenon_H66 zenon_H146 zenon_H148.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.16/1.34 apply (zenon_L155_); trivial.
% 1.16/1.34 apply (zenon_L72_); trivial.
% 1.16/1.34 (* end of lemma zenon_L387_ *)
% 1.16/1.34 assert (zenon_L388_ : ((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2524)) -> (~(c2_1 (a2524))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp18)) -> (~(hskp1)) -> ((hskp21)\/((hskp18)\/(hskp1))) -> False).
% 1.16/1.34 do 0 intro. intros zenon_H71 zenon_H54 zenon_H11d zenon_H11b zenon_H216 zenon_H132 zenon_H133 zenon_H134 zenon_H223 zenon_H1fc zenon_H1fa zenon_H105 zenon_H103 zenon_H10d zenon_H68 zenon_H67 zenon_H66 zenon_H146 zenon_H148 zenon_Hb zenon_Hd zenon_Hf.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.16/1.34 apply (zenon_L8_); trivial.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H102 | zenon_intro zenon_H11e ].
% 1.16/1.34 apply (zenon_L376_); trivial.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H118 | zenon_intro zenon_H11c ].
% 1.16/1.34 apply (zenon_L362_); trivial.
% 1.16/1.34 exact (zenon_H11b zenon_H11c).
% 1.16/1.34 (* end of lemma zenon_L388_ *)
% 1.16/1.34 assert (zenon_L389_ : ((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2539)) -> (~(c2_1 (a2539))) -> (~(c0_1 (a2539))) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> False).
% 1.16/1.34 do 0 intro. intros zenon_H71 zenon_H54 zenon_H11d zenon_H11b zenon_H10d zenon_H103 zenon_H105 zenon_H148 zenon_H146 zenon_H134 zenon_H133 zenon_H132 zenon_H216 zenon_H193 zenon_H192 zenon_H191 zenon_H66 zenon_H67 zenon_H68 zenon_H225 zenon_H226 zenon_H227 zenon_H241.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.16/1.34 apply (zenon_L295_); trivial.
% 1.16/1.34 apply (zenon_L379_); trivial.
% 1.16/1.34 (* end of lemma zenon_L389_ *)
% 1.16/1.34 assert (zenon_L390_ : ((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.16/1.34 do 0 intro. intros zenon_H19a zenon_Hb9 zenon_Hb3 zenon_Hfc zenon_Hd zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H1c7 zenon_H74 zenon_H54 zenon_H11d zenon_H11b zenon_H10d zenon_H103 zenon_H105 zenon_H216 zenon_H241 zenon_H227 zenon_H226 zenon_H225 zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H1e9 zenon_H144 zenon_Hef zenon_H190.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.16/1.34 apply (zenon_L380_); trivial.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.16/1.34 apply (zenon_L387_); trivial.
% 1.16/1.34 apply (zenon_L389_); trivial.
% 1.16/1.34 apply (zenon_L126_); trivial.
% 1.16/1.34 (* end of lemma zenon_L390_ *)
% 1.16/1.34 assert (zenon_L391_ : ((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> (~(hskp1)) -> ((hskp21)\/((hskp18)\/(hskp1))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539))))))) -> False).
% 1.16/1.34 do 0 intro. intros zenon_H1b8 zenon_H101 zenon_Hfc zenon_Hb9 zenon_Ha2 zenon_H1b3 zenon_H7f zenon_H254 zenon_H223 zenon_H92 zenon_Hd zenon_Hf zenon_H5f zenon_H63 zenon_Hba zenon_H189 zenon_Hef zenon_H144 zenon_H1e9 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_Hdd zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_Hc5 zenon_H49 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H216 zenon_H105 zenon_H103 zenon_H10d zenon_H11b zenon_H11d zenon_H51 zenon_H54 zenon_H74 zenon_H190 zenon_H1c7 zenon_Hae zenon_Hb3 zenon_H1b9.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.16/1.34 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.16/1.34 apply (zenon_L371_); trivial.
% 1.16/1.34 apply (zenon_L378_); trivial.
% 1.16/1.34 apply (zenon_L386_); trivial.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.16/1.34 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.16/1.34 apply (zenon_L371_); trivial.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.16/1.34 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.16/1.34 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.16/1.35 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.16/1.35 apply (zenon_L387_); trivial.
% 1.16/1.35 apply (zenon_L388_); trivial.
% 1.16/1.35 apply (zenon_L97_); trivial.
% 1.16/1.35 apply (zenon_L370_); trivial.
% 1.16/1.35 apply (zenon_L390_); trivial.
% 1.16/1.35 (* end of lemma zenon_L391_ *)
% 1.16/1.35 assert (zenon_L392_ : ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))) -> (~(c1_1 (a2548))) -> (~(c3_1 (a2553))) -> (c0_1 (a2553)) -> (~(c1_1 (a2553))) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))) -> (ndr1_0) -> (~(hskp24)) -> False).
% 1.16/1.35 do 0 intro. intros zenon_H18b zenon_H26 zenon_H25 zenon_H3f zenon_H24 zenon_He0 zenon_He1 zenon_Hdf zenon_H93 zenon_H12 zenon_H7b.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H118 | zenon_intro zenon_H18c ].
% 1.16/1.35 apply (zenon_L361_); trivial.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H65 | zenon_intro zenon_H7c ].
% 1.16/1.35 apply (zenon_L94_); trivial.
% 1.16/1.35 exact (zenon_H7b zenon_H7c).
% 1.16/1.35 (* end of lemma zenon_L392_ *)
% 1.16/1.35 assert (zenon_L393_ : ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(c1_1 (a2564))) -> (~(c2_1 (a2564))) -> (c0_1 (a2564)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (~(hskp24)) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))) -> (~(c1_1 (a2553))) -> (c0_1 (a2553)) -> (~(c3_1 (a2553))) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (~(c2_1 (a2551))) -> (c0_1 (a2551)) -> (c1_1 (a2551)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (~(hskp29)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(hskp17)) -> False).
% 1.16/1.35 do 0 intro. intros zenon_H148 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H82 zenon_H83 zenon_H84 zenon_H223 zenon_H7b zenon_H12 zenon_H93 zenon_Hdf zenon_He1 zenon_He0 zenon_H24 zenon_H25 zenon_H26 zenon_H18b zenon_H14 zenon_H15 zenon_H16 zenon_H1bc zenon_H105 zenon_H103 zenon_H10d zenon_H122 zenon_H121 zenon_H120 zenon_H150 zenon_H216 zenon_H146.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H131 | zenon_intro zenon_H149 ].
% 1.16/1.35 apply (zenon_L337_); trivial.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hcc | zenon_intro zenon_H147 ].
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H217 ].
% 1.16/1.35 apply (zenon_L316_); trivial.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H14a | zenon_intro zenon_H3f ].
% 1.16/1.35 apply (zenon_L129_); trivial.
% 1.16/1.35 apply (zenon_L392_); trivial.
% 1.16/1.35 exact (zenon_H146 zenon_H147).
% 1.16/1.35 (* end of lemma zenon_L393_ *)
% 1.16/1.35 assert (zenon_L394_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (c2_1 (a2549)) -> (~(c1_1 (a2549))) -> (~(c0_1 (a2549))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (~(c3_1 (a2553))) -> (c0_1 (a2553)) -> (~(c1_1 (a2553))) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (~(c1_1 (a2528))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (~(hskp18)) -> (c3_1 (a2526)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (ndr1_0) -> (~(c2_1 (a2551))) -> (c0_1 (a2551)) -> (c1_1 (a2551)) -> (~(hskp24)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> False).
% 1.16/1.35 do 0 intro. intros zenon_H92 zenon_H51 zenon_H177 zenon_Hae zenon_H4b zenon_Ha6 zenon_Ha5 zenon_Ha4 zenon_H216 zenon_H105 zenon_H103 zenon_H148 zenon_H146 zenon_H18b zenon_He0 zenon_He1 zenon_Hdf zenon_H26 zenon_H25 zenon_H24 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H10d zenon_H223 zenon_H1b3 zenon_H20d zenon_Hb zenon_H134 zenon_H132 zenon_H133 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H49 zenon_Hc5 zenon_H12 zenon_H14 zenon_H15 zenon_H16 zenon_H7b zenon_H7f.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.16/1.35 apply (zenon_L38_); trivial.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H12. zenon_intro zenon_H8f.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H84. zenon_intro zenon_H90.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H82. zenon_intro zenon_H83.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ].
% 1.16/1.35 apply (zenon_L220_); trivial.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H12. zenon_intro zenon_H4e.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H40. zenon_intro zenon_H4f.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H41. zenon_intro zenon_H42.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H102 | zenon_intro zenon_H1b6 ].
% 1.16/1.35 apply (zenon_L230_); trivial.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H93 | zenon_intro zenon_H14a ].
% 1.16/1.35 apply (zenon_L393_); trivial.
% 1.16/1.35 apply (zenon_L353_); trivial.
% 1.16/1.35 apply (zenon_L161_); trivial.
% 1.16/1.35 (* end of lemma zenon_L394_ *)
% 1.16/1.35 assert (zenon_L395_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> (~(hskp15)) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> False).
% 1.16/1.35 do 0 intro. intros zenon_H18d zenon_Hba zenon_H63 zenon_H61 zenon_H5f zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H177.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.16/1.35 apply (zenon_L224_); trivial.
% 1.16/1.35 apply (zenon_L97_); trivial.
% 1.16/1.35 (* end of lemma zenon_L395_ *)
% 1.16/1.35 assert (zenon_L396_ : ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c3_1 (a2528)) -> (~(c1_1 (a2528))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (~(hskp29)) -> (~(c1_1 (a2564))) -> (~(c2_1 (a2564))) -> (c0_1 (a2564)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (~(hskp14)) -> (ndr1_0) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> (~(hskp17)) -> False).
% 1.16/1.35 do 0 intro. intros zenon_H148 zenon_H1bc zenon_H105 zenon_H10d zenon_H122 zenon_H121 zenon_H120 zenon_H150 zenon_H82 zenon_H83 zenon_H84 zenon_H223 zenon_He8 zenon_H12 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H66 zenon_H67 zenon_H254 zenon_H146.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H131 | zenon_intro zenon_H149 ].
% 1.16/1.35 apply (zenon_L337_); trivial.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hcc | zenon_intro zenon_H147 ].
% 1.16/1.35 apply (zenon_L372_); trivial.
% 1.16/1.35 exact (zenon_H146 zenon_H147).
% 1.16/1.35 (* end of lemma zenon_L396_ *)
% 1.16/1.35 assert (zenon_L397_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c2_1 (a2549)) -> (~(c1_1 (a2549))) -> (~(c0_1 (a2549))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (ndr1_0) -> (~(c1_1 (a2555))) -> (c0_1 (a2555)) -> (c2_1 (a2555)) -> False).
% 1.16/1.35 do 0 intro. intros zenon_H1f3 zenon_Ha6 zenon_Ha5 zenon_Ha4 zenon_H122 zenon_H121 zenon_H2d zenon_H12 zenon_H94 zenon_H95 zenon_H96.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H1f4 ].
% 1.16/1.35 apply (zenon_L47_); trivial.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H55 | zenon_intro zenon_H93 ].
% 1.16/1.35 apply (zenon_L158_); trivial.
% 1.16/1.35 apply (zenon_L43_); trivial.
% 1.16/1.35 (* end of lemma zenon_L397_ *)
% 1.16/1.35 assert (zenon_L398_ : ((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (c2_1 (a2555)) -> (c0_1 (a2555)) -> (~(c1_1 (a2555))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> (~(c0_1 (a2549))) -> (~(c1_1 (a2549))) -> (c2_1 (a2549)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (~(hskp3)) -> False).
% 1.16/1.35 do 0 intro. intros zenon_H4d zenon_H4b zenon_H96 zenon_H95 zenon_H94 zenon_H121 zenon_H122 zenon_Ha4 zenon_Ha5 zenon_Ha6 zenon_H1f3 zenon_H49.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H12. zenon_intro zenon_H4e.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H40. zenon_intro zenon_H4f.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H41. zenon_intro zenon_H42.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2d | zenon_intro zenon_H4c ].
% 1.16/1.35 apply (zenon_L397_); trivial.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H3f | zenon_intro zenon_H4a ].
% 1.16/1.35 apply (zenon_L19_); trivial.
% 1.16/1.35 exact (zenon_H49 zenon_H4a).
% 1.16/1.35 (* end of lemma zenon_L398_ *)
% 1.16/1.35 assert (zenon_L399_ : ((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(c0_1 (a2549))) -> (~(c1_1 (a2549))) -> (c2_1 (a2549)) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> False).
% 1.16/1.35 do 0 intro. intros zenon_H9f zenon_H51 zenon_H4b zenon_Ha4 zenon_Ha5 zenon_Ha6 zenon_H121 zenon_H122 zenon_H1f3 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H49 zenon_Hc5.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ].
% 1.16/1.35 apply (zenon_L53_); trivial.
% 1.16/1.35 apply (zenon_L398_); trivial.
% 1.16/1.35 (* end of lemma zenon_L399_ *)
% 1.16/1.35 assert (zenon_L400_ : ((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (~(hskp14)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (~(hskp18)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> False).
% 1.16/1.35 do 0 intro. intros zenon_Had zenon_H54 zenon_Ha2 zenon_H1f3 zenon_H7f zenon_H148 zenon_H146 zenon_H66 zenon_H67 zenon_He8 zenon_H254 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H223 zenon_Hb zenon_H20d zenon_H92 zenon_H51 zenon_H3e zenon_H4b zenon_H1a2 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H49 zenon_Hc5 zenon_H216 zenon_H10d zenon_H103 zenon_H105 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H230 zenon_H227 zenon_H226 zenon_H225 zenon_H177 zenon_H1b7.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.16/1.35 apply (zenon_L350_); trivial.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.16/1.35 apply (zenon_L38_); trivial.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H12. zenon_intro zenon_H8f.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H84. zenon_intro zenon_H90.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H82. zenon_intro zenon_H83.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.16/1.35 apply (zenon_L396_); trivial.
% 1.16/1.35 apply (zenon_L223_); trivial.
% 1.16/1.35 apply (zenon_L399_); trivial.
% 1.16/1.35 (* end of lemma zenon_L400_ *)
% 1.16/1.35 assert (zenon_L401_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c0_1 (a2540)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> (~(hskp14)) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.16/1.35 do 0 intro. intros zenon_Hba zenon_H74 zenon_H189 zenon_H68 zenon_H241 zenon_H1c7 zenon_Hae zenon_Hef zenon_Heb zenon_He8 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H146 zenon_H148 zenon_Hdd zenon_H1b7 zenon_H177 zenon_H225 zenon_H226 zenon_H227 zenon_H230 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H105 zenon_H103 zenon_H10d zenon_H216 zenon_Hc5 zenon_H49 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H1a2 zenon_H4b zenon_H3e zenon_H51 zenon_H92 zenon_H20d zenon_H223 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H254 zenon_H67 zenon_H66 zenon_H7f zenon_H1f3 zenon_Ha2 zenon_H54 zenon_Hb3.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.16/1.35 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.16/1.35 apply (zenon_L195_); trivial.
% 1.16/1.35 apply (zenon_L400_); trivial.
% 1.16/1.35 apply (zenon_L384_); trivial.
% 1.16/1.35 (* end of lemma zenon_L401_ *)
% 1.16/1.35 assert (zenon_L402_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> (~(hskp15)) -> (~(hskp4)) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.16/1.35 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_H63 zenon_H61 zenon_H5f zenon_Hb3 zenon_H54 zenon_Ha2 zenon_H1f3 zenon_H7f zenon_H254 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H223 zenon_H20d zenon_H92 zenon_H51 zenon_H3e zenon_H4b zenon_H1a2 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H49 zenon_Hc5 zenon_H216 zenon_H10d zenon_H103 zenon_H105 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H230 zenon_H227 zenon_H226 zenon_H225 zenon_H177 zenon_H1b7 zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_He8 zenon_Heb zenon_Hef zenon_Hae zenon_H1c7 zenon_H241 zenon_H189 zenon_H74 zenon_Hba.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.16/1.35 apply (zenon_L401_); trivial.
% 1.16/1.35 apply (zenon_L395_); trivial.
% 1.16/1.35 (* end of lemma zenon_L402_ *)
% 1.16/1.35 assert (zenon_L403_ : ((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a2539)) -> (~(c2_1 (a2539))) -> (~(c0_1 (a2539))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (c1_1 (a2551)) -> (c0_1 (a2551)) -> (~(c2_1 (a2551))) -> (~(hskp17)) -> False).
% 1.16/1.35 do 0 intro. intros zenon_H9f zenon_H1b3 zenon_H193 zenon_H192 zenon_H191 zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_H16 zenon_H15 zenon_H14 zenon_H146.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H102 | zenon_intro zenon_H1b6 ].
% 1.16/1.35 apply (zenon_L125_); trivial.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H93 | zenon_intro zenon_H14a ].
% 1.16/1.35 apply (zenon_L43_); trivial.
% 1.16/1.35 apply (zenon_L353_); trivial.
% 1.16/1.35 (* end of lemma zenon_L403_ *)
% 1.16/1.35 assert (zenon_L404_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (c3_1 (a2539)) -> (~(c2_1 (a2539))) -> (~(c0_1 (a2539))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (~(c1_1 (a2528))) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> (~(hskp16)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.16/1.35 do 0 intro. intros zenon_H190 zenon_H230 zenon_H74 zenon_Hb3 zenon_H54 zenon_Ha2 zenon_H193 zenon_H192 zenon_H191 zenon_H7f zenon_Hc5 zenon_H49 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H1b3 zenon_H223 zenon_H10d zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H18b zenon_H103 zenon_H105 zenon_H216 zenon_H4b zenon_Hae zenon_H177 zenon_H51 zenon_H92 zenon_H241 zenon_H227 zenon_H226 zenon_H225 zenon_He8 zenon_Heb zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H1e9 zenon_H5 zenon_H144 zenon_Hef zenon_H189 zenon_Hba.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.16/1.35 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.16/1.35 apply (zenon_L194_); trivial.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.16/1.35 apply (zenon_L195_); trivial.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.16/1.35 apply (zenon_L293_); trivial.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.16/1.35 apply (zenon_L100_); trivial.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.16/1.35 apply (zenon_L394_); trivial.
% 1.16/1.35 apply (zenon_L403_); trivial.
% 1.16/1.35 apply (zenon_L366_); trivial.
% 1.16/1.35 apply (zenon_L343_); trivial.
% 1.16/1.35 (* end of lemma zenon_L404_ *)
% 1.16/1.35 assert (zenon_L405_ : ((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a2539)) -> (~(c2_1 (a2539))) -> (~(c0_1 (a2539))) -> (c2_1 (a2555)) -> (c0_1 (a2555)) -> (~(c1_1 (a2555))) -> False).
% 1.16/1.35 do 0 intro. intros zenon_H170 zenon_H1b3 zenon_H193 zenon_H192 zenon_H191 zenon_H96 zenon_H95 zenon_H94.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H167. zenon_intro zenon_H172.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H168. zenon_intro zenon_H169.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H102 | zenon_intro zenon_H1b6 ].
% 1.16/1.35 apply (zenon_L125_); trivial.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H93 | zenon_intro zenon_H14a ].
% 1.16/1.35 apply (zenon_L43_); trivial.
% 1.16/1.35 apply (zenon_L108_); trivial.
% 1.16/1.35 (* end of lemma zenon_L405_ *)
% 1.16/1.35 assert (zenon_L406_ : ((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (c2_1 (a2555)) -> (c0_1 (a2555)) -> (~(c1_1 (a2555))) -> (c3_1 (a2539)) -> (~(c2_1 (a2539))) -> (~(c0_1 (a2539))) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> False).
% 1.16/1.35 do 0 intro. intros zenon_H173 zenon_H174 zenon_H1b3 zenon_H96 zenon_H95 zenon_H94 zenon_H193 zenon_H192 zenon_H191 zenon_Hc7 zenon_H163.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H164 | zenon_intro zenon_H170 ].
% 1.16/1.35 apply (zenon_L107_); trivial.
% 1.16/1.35 apply (zenon_L405_); trivial.
% 1.16/1.35 (* end of lemma zenon_L406_ *)
% 1.16/1.35 assert (zenon_L407_ : ((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a2539)) -> (~(c2_1 (a2539))) -> (~(c0_1 (a2539))) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c1_1 (a2541))) -> (~(c2_1 (a2541))) -> (c3_1 (a2541)) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> False).
% 1.16/1.35 do 0 intro. intros zenon_H9f zenon_H177 zenon_H174 zenon_H1b3 zenon_H193 zenon_H192 zenon_H191 zenon_Hc7 zenon_H163 zenon_H180 zenon_H181 zenon_H182 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.16/1.35 apply (zenon_L148_); trivial.
% 1.16/1.35 apply (zenon_L406_); trivial.
% 1.16/1.35 (* end of lemma zenon_L407_ *)
% 1.16/1.35 assert (zenon_L408_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a2539)) -> (~(c2_1 (a2539))) -> (~(c0_1 (a2539))) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (ndr1_0) -> (~(c1_1 (a2541))) -> (~(c2_1 (a2541))) -> (c3_1 (a2541)) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> False).
% 1.16/1.35 do 0 intro. intros zenon_Ha2 zenon_H177 zenon_H174 zenon_H1b3 zenon_H193 zenon_H192 zenon_H191 zenon_Hc7 zenon_H163 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H12 zenon_H180 zenon_H181 zenon_H182 zenon_H66 zenon_H67 zenon_H68 zenon_H18b.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.16/1.35 apply (zenon_L120_); trivial.
% 1.16/1.35 apply (zenon_L407_); trivial.
% 1.16/1.35 (* end of lemma zenon_L408_ *)
% 1.16/1.35 assert (zenon_L409_ : ((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c2_1 (a2545)) -> (c1_1 (a2545)) -> (~(c0_1 (a2545))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> False).
% 1.16/1.35 do 0 intro. intros zenon_Hea zenon_H189 zenon_H58 zenon_H57 zenon_H56 zenon_H182 zenon_H181 zenon_H180.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H55 | zenon_intro zenon_H18a ].
% 1.16/1.35 apply (zenon_L25_); trivial.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H118 | zenon_intro zenon_Hde ].
% 1.16/1.35 apply (zenon_L115_); trivial.
% 1.16/1.35 apply (zenon_L63_); trivial.
% 1.16/1.35 (* end of lemma zenon_L409_ *)
% 1.16/1.35 assert (zenon_L410_ : ((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2539))) -> (~(c2_1 (a2539))) -> (c3_1 (a2539)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> False).
% 1.16/1.35 do 0 intro. intros zenon_Hb2 zenon_Hef zenon_H189 zenon_H18b zenon_H68 zenon_H67 zenon_H66 zenon_H182 zenon_H181 zenon_H180 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H163 zenon_H191 zenon_H192 zenon_H193 zenon_H1b3 zenon_H174 zenon_H177 zenon_Ha2.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.16/1.35 apply (zenon_L408_); trivial.
% 1.16/1.35 apply (zenon_L409_); trivial.
% 1.16/1.35 (* end of lemma zenon_L410_ *)
% 1.16/1.35 assert (zenon_L411_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2539))) -> (~(c2_1 (a2539))) -> (c3_1 (a2539)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> False).
% 1.16/1.35 do 0 intro. intros zenon_H18d zenon_Hba zenon_Hef zenon_H189 zenon_H18b zenon_H68 zenon_H67 zenon_H66 zenon_H163 zenon_H191 zenon_H192 zenon_H193 zenon_H1b3 zenon_H174 zenon_Ha2 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H177.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.16/1.35 apply (zenon_L224_); trivial.
% 1.16/1.35 apply (zenon_L410_); trivial.
% 1.16/1.35 (* end of lemma zenon_L411_ *)
% 1.16/1.35 assert (zenon_L412_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (~(c1_1 (a2528))) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> (~(hskp1)) -> ((hskp21)\/((hskp18)\/(hskp1))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> False).
% 1.16/1.35 do 0 intro. intros zenon_H1b9 zenon_H163 zenon_H174 zenon_H190 zenon_H74 zenon_Hb3 zenon_H54 zenon_Ha2 zenon_H7f zenon_Hc5 zenon_H49 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H1b3 zenon_H223 zenon_H10d zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H18b zenon_H103 zenon_H105 zenon_H216 zenon_H4b zenon_Hae zenon_H177 zenon_H51 zenon_H92 zenon_Hd zenon_Hf zenon_He8 zenon_Heb zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H1e9 zenon_H144 zenon_Hef zenon_H5f zenon_H63 zenon_Hba zenon_H189 zenon_H241 zenon_H1c7 zenon_H1b7 zenon_H225 zenon_H226 zenon_H227 zenon_H230 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H1a2 zenon_H3e zenon_H254 zenon_H1f3 zenon_Hb9.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.16/1.35 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.16/1.35 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.16/1.35 apply (zenon_L194_); trivial.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.16/1.35 apply (zenon_L195_); trivial.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.16/1.35 apply (zenon_L8_); trivial.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.16/1.35 apply (zenon_L100_); trivial.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.16/1.35 apply (zenon_L394_); trivial.
% 1.16/1.35 apply (zenon_L199_); trivial.
% 1.16/1.35 apply (zenon_L97_); trivial.
% 1.16/1.35 apply (zenon_L395_); trivial.
% 1.16/1.35 apply (zenon_L402_); trivial.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.16/1.35 apply (zenon_L404_); trivial.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.16/1.35 apply (zenon_L401_); trivial.
% 1.16/1.35 apply (zenon_L411_); trivial.
% 1.16/1.35 (* end of lemma zenon_L412_ *)
% 1.16/1.35 assert (zenon_L413_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> (~(hskp15)) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.16/1.35 do 0 intro. intros zenon_H190 zenon_Hba zenon_H63 zenon_H61 zenon_H5f zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H177 zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H142 zenon_H75 zenon_H1e7 zenon_Hef.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.16/1.35 apply (zenon_L203_); trivial.
% 1.16/1.35 apply (zenon_L395_); trivial.
% 1.16/1.35 (* end of lemma zenon_L413_ *)
% 1.16/1.35 assert (zenon_L414_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2539))) -> (~(c2_1 (a2539))) -> (c3_1 (a2539)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.16/1.35 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_Hba zenon_H189 zenon_H18b zenon_H163 zenon_H191 zenon_H192 zenon_H193 zenon_H1b3 zenon_H174 zenon_Ha2 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H177 zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H142 zenon_H75 zenon_H1e7 zenon_Hef.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.16/1.35 apply (zenon_L203_); trivial.
% 1.16/1.35 apply (zenon_L411_); trivial.
% 1.16/1.35 (* end of lemma zenon_L414_ *)
% 1.16/1.35 assert (zenon_L415_ : ((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> (~(hskp4)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((hskp21)\/((hskp18)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (~(c1_1 (a2528))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539))))))) -> False).
% 1.16/1.35 do 0 intro. intros zenon_H1b8 zenon_H101 zenon_H129 zenon_H1e7 zenon_H75 zenon_H142 zenon_Hb9 zenon_H1f3 zenon_H254 zenon_H3e zenon_H1a2 zenon_H230 zenon_H227 zenon_H226 zenon_H225 zenon_H1b7 zenon_H1c7 zenon_H241 zenon_H189 zenon_Hba zenon_H63 zenon_H5f zenon_Hef zenon_H144 zenon_H1e9 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_Hdd zenon_Heb zenon_Hf zenon_Hd zenon_H92 zenon_H51 zenon_H177 zenon_Hae zenon_H4b zenon_H216 zenon_H105 zenon_H103 zenon_H18b zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H10d zenon_H223 zenon_H1b3 zenon_H20d zenon_H1fc zenon_H1fb zenon_H1fa zenon_H49 zenon_Hc5 zenon_H7f zenon_Ha2 zenon_H54 zenon_Hb3 zenon_H74 zenon_H190 zenon_H174 zenon_H163 zenon_H1b9.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.16/1.35 apply (zenon_L412_); trivial.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.16/1.35 apply (zenon_L413_); trivial.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.16/1.35 apply (zenon_L357_); trivial.
% 1.16/1.35 apply (zenon_L414_); trivial.
% 1.16/1.35 (* end of lemma zenon_L415_ *)
% 1.16/1.35 assert (zenon_L416_ : ((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((hskp21)\/((hskp18)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> False).
% 1.16/1.35 do 0 intro. intros zenon_H12b zenon_H1d5 zenon_H101 zenon_H1e7 zenon_H1f3 zenon_H254 zenon_H3e zenon_H1a2 zenon_H1b7 zenon_H1c7 zenon_H241 zenon_H189 zenon_H63 zenon_Heb zenon_Hf zenon_Hd zenon_H51 zenon_Hae zenon_H4b zenon_H216 zenon_H105 zenon_H103 zenon_H10d zenon_H223 zenon_H1b3 zenon_Hc5 zenon_H7f zenon_H54 zenon_Hb3 zenon_H174 zenon_H163 zenon_H1b9 zenon_H190 zenon_H177 zenon_H230 zenon_H227 zenon_H226 zenon_H225 zenon_H1bc zenon_Hef zenon_H144 zenon_H1e9 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_Hdd zenon_H5f zenon_H129 zenon_H74 zenon_H142 zenon_H75 zenon_H20d zenon_H1fc zenon_H1fb zenon_H1fa zenon_H18b zenon_H9d zenon_H49 zenon_H8e zenon_H92 zenon_Ha2 zenon_Hba zenon_Hb9.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.16/1.35 apply (zenon_L358_); trivial.
% 1.16/1.35 apply (zenon_L415_); trivial.
% 1.16/1.35 (* end of lemma zenon_L416_ *)
% 1.16/1.35 assert (zenon_L417_ : ((~(hskp7))\/((ndr1_0)/\((c1_1 (a2524))/\((c3_1 (a2524))/\(~(c2_1 (a2524))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp9)\/(hskp4))) -> ((~(hskp9))\/((ndr1_0)/\((c1_1 (a2526))/\((c3_1 (a2526))/\(~(c0_1 (a2526))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> (~(hskp4)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> ((hskp23)\/(hskp27)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp2)) -> ((hskp21)\/((hskp2)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> ((hskp21)\/((hskp18)\/(hskp1))) -> (~(hskp1)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a2528))/\((~(c0_1 (a2528)))/\(~(c1_1 (a2528))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a2525))/\((c2_1 (a2525))/\(~(c3_1 (a2525))))))) -> False).
% 1.16/1.35 do 0 intro. intros zenon_H259 zenon_H1c7 zenon_H254 zenon_H129 zenon_Hfc zenon_H223 zenon_H218 zenon_H6f zenon_H1f5 zenon_Hb9 zenon_H18b zenon_H157 zenon_H189 zenon_H144 zenon_H148 zenon_H190 zenon_H241 zenon_H12e zenon_H101 zenon_H142 zenon_H1e7 zenon_Hba zenon_H63 zenon_H5f zenon_H54 zenon_Hef zenon_Heb zenon_H92 zenon_Hdd zenon_H12f zenon_Hcb zenon_H7f zenon_H9d zenon_H49 zenon_Ha2 zenon_H75 zenon_H79 zenon_H1b7 zenon_H230 zenon_H20d zenon_H152 zenon_H227 zenon_H226 zenon_H225 zenon_H1a2 zenon_H4b zenon_Hae zenon_H3e zenon_H177 zenon_H21 zenon_Hb3 zenon_H11d zenon_H8e zenon_H1b9 zenon_Hd9 zenon_Hf zenon_Hd zenon_Hc5 zenon_H51 zenon_H1d5 zenon_H116 zenon_H174 zenon_H216 zenon_H163 zenon_H1bc zenon_H1d4 zenon_H1e5 zenon_H1b3 zenon_H1e9 zenon_H3a zenon_H74 zenon_H1e0 zenon_H1f3 zenon_H1ea zenon_H25a.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H114 | zenon_intro zenon_H25b ].
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H112 | zenon_intro zenon_H25c ].
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.16/1.35 apply (zenon_L271_); trivial.
% 1.16/1.35 apply (zenon_L276_); trivial.
% 1.16/1.35 apply (zenon_L277_); trivial.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.16/1.35 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.16/1.35 apply (zenon_L255_); trivial.
% 1.16/1.35 apply (zenon_L278_); trivial.
% 1.16/1.35 apply (zenon_L279_); trivial.
% 1.16/1.35 apply (zenon_L288_); trivial.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.16/1.35 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.16/1.35 apply (zenon_L124_); trivial.
% 1.16/1.35 apply (zenon_L290_); trivial.
% 1.16/1.35 apply (zenon_L123_); trivial.
% 1.16/1.35 apply (zenon_L297_); trivial.
% 1.16/1.35 apply (zenon_L288_); trivial.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25d.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1d8. zenon_intro zenon_H25e.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.16/1.35 apply (zenon_L304_); trivial.
% 1.16/1.35 apply (zenon_L276_); trivial.
% 1.16/1.35 apply (zenon_L312_); trivial.
% 1.16/1.35 apply (zenon_L315_); trivial.
% 1.16/1.35 apply (zenon_L322_); trivial.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.16/1.35 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.16/1.35 apply (zenon_L198_); trivial.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.16/1.35 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.16/1.35 apply (zenon_L201_); trivial.
% 1.16/1.35 apply (zenon_L323_); trivial.
% 1.16/1.35 apply (zenon_L202_); trivial.
% 1.16/1.35 apply (zenon_L49_); trivial.
% 1.16/1.35 apply (zenon_L123_); trivial.
% 1.16/1.35 apply (zenon_L276_); trivial.
% 1.16/1.35 apply (zenon_L297_); trivial.
% 1.16/1.35 apply (zenon_L315_); trivial.
% 1.16/1.35 apply (zenon_L322_); trivial.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H12. zenon_intro zenon_H25f.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H1fb. zenon_intro zenon_H260.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H1fc. zenon_intro zenon_H1fa.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.16/1.35 apply (zenon_L326_); trivial.
% 1.16/1.35 apply (zenon_L312_); trivial.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.16/1.35 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.16/1.35 apply (zenon_L324_); trivial.
% 1.16/1.35 apply (zenon_L49_); trivial.
% 1.16/1.35 apply (zenon_L331_); trivial.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.16/1.35 apply (zenon_L336_); trivial.
% 1.16/1.35 apply (zenon_L352_); trivial.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.16/1.35 apply (zenon_L326_); trivial.
% 1.16/1.35 apply (zenon_L356_); trivial.
% 1.16/1.35 apply (zenon_L360_); trivial.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.16/1.35 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.16/1.35 apply (zenon_L368_); trivial.
% 1.16/1.35 apply (zenon_L236_); trivial.
% 1.16/1.35 apply (zenon_L369_); trivial.
% 1.16/1.35 apply (zenon_L391_); trivial.
% 1.16/1.35 apply (zenon_L416_); trivial.
% 1.16/1.35 (* end of lemma zenon_L417_ *)
% 1.16/1.35 assert (zenon_L418_ : (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V)))))) -> (ndr1_0) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> False).
% 1.16/1.35 do 0 intro. intros zenon_H10c zenon_H12 zenon_H261 zenon_H262 zenon_H263.
% 1.16/1.35 generalize (zenon_H10c (a2521)). zenon_intro zenon_H264.
% 1.16/1.35 apply (zenon_imply_s _ _ zenon_H264); [ zenon_intro zenon_H11 | zenon_intro zenon_H265 ].
% 1.16/1.35 exact (zenon_H11 zenon_H12).
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H267 | zenon_intro zenon_H266 ].
% 1.16/1.35 exact (zenon_H261 zenon_H267).
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H269 | zenon_intro zenon_H268 ].
% 1.16/1.35 exact (zenon_H269 zenon_H262).
% 1.16/1.35 exact (zenon_H268 zenon_H263).
% 1.16/1.35 (* end of lemma zenon_L418_ *)
% 1.16/1.35 assert (zenon_L419_ : ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> (ndr1_0) -> (~(hskp8)) -> (~(hskp7)) -> False).
% 1.16/1.35 do 0 intro. intros zenon_H116 zenon_H263 zenon_H262 zenon_H261 zenon_H12 zenon_H112 zenon_H114.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H10c | zenon_intro zenon_H117 ].
% 1.16/1.35 apply (zenon_L418_); trivial.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H113 | zenon_intro zenon_H115 ].
% 1.16/1.35 exact (zenon_H112 zenon_H113).
% 1.16/1.35 exact (zenon_H114 zenon_H115).
% 1.16/1.35 (* end of lemma zenon_L419_ *)
% 1.16/1.35 assert (zenon_L420_ : (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10)))))) -> (ndr1_0) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (~(c1_1 (a2521))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> False).
% 1.16/1.35 do 0 intro. intros zenon_H1e2 zenon_H12 zenon_H23 zenon_H261 zenon_H263 zenon_H262.
% 1.16/1.35 generalize (zenon_H1e2 (a2521)). zenon_intro zenon_H26a.
% 1.16/1.35 apply (zenon_imply_s _ _ zenon_H26a); [ zenon_intro zenon_H11 | zenon_intro zenon_H26b ].
% 1.16/1.35 exact (zenon_H11 zenon_H12).
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H26c | zenon_intro zenon_H266 ].
% 1.16/1.35 generalize (zenon_H23 (a2521)). zenon_intro zenon_H26d.
% 1.16/1.35 apply (zenon_imply_s _ _ zenon_H26d); [ zenon_intro zenon_H11 | zenon_intro zenon_H26e ].
% 1.16/1.35 exact (zenon_H11 zenon_H12).
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H267 | zenon_intro zenon_H26f ].
% 1.16/1.35 exact (zenon_H261 zenon_H267).
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H270 | zenon_intro zenon_H268 ].
% 1.16/1.35 exact (zenon_H270 zenon_H26c).
% 1.16/1.35 exact (zenon_H268 zenon_H263).
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H269 | zenon_intro zenon_H268 ].
% 1.16/1.35 exact (zenon_H269 zenon_H262).
% 1.16/1.35 exact (zenon_H268 zenon_H263).
% 1.16/1.35 (* end of lemma zenon_L420_ *)
% 1.16/1.35 assert (zenon_L421_ : ((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (~(c1_1 (a2521))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> False).
% 1.16/1.35 do 0 intro. intros zenon_Had zenon_H1e5 zenon_H261 zenon_H263 zenon_H262 zenon_H1ea zenon_H1d7 zenon_H1d8 zenon_H1d9.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H1e6 ].
% 1.16/1.35 apply (zenon_L47_); trivial.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1d6 ].
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H1eb ].
% 1.16/1.35 apply (zenon_L47_); trivial.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H23 | zenon_intro zenon_H1d6 ].
% 1.16/1.35 apply (zenon_L420_); trivial.
% 1.16/1.35 apply (zenon_L176_); trivial.
% 1.16/1.35 apply (zenon_L176_); trivial.
% 1.16/1.35 (* end of lemma zenon_L421_ *)
% 1.16/1.35 assert (zenon_L422_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (~(c1_1 (a2521))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp23)\/(hskp27)) -> (ndr1_0) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.16/1.35 do 0 intro. intros zenon_Hb3 zenon_H1e5 zenon_H261 zenon_H263 zenon_H262 zenon_H1ea zenon_H92 zenon_Hdd zenon_H12f zenon_H114 zenon_Hcb zenon_H12 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e0 zenon_He8 zenon_Heb zenon_Hef.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.16/1.35 apply (zenon_L182_); trivial.
% 1.16/1.35 apply (zenon_L421_); trivial.
% 1.16/1.35 (* end of lemma zenon_L422_ *)
% 1.16/1.35 assert (zenon_L423_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (~(c1_1 (a2521))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp23)\/(hskp27)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.16/1.35 do 0 intro. intros zenon_Hfe zenon_Hb3 zenon_H1e5 zenon_H261 zenon_H263 zenon_H262 zenon_H1ea zenon_H92 zenon_Hdd zenon_H12f zenon_H114 zenon_Hcb zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e0 zenon_H142 zenon_H75 zenon_H1e7 zenon_Hef.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.16/1.35 apply (zenon_L189_); trivial.
% 1.16/1.35 apply (zenon_L421_); trivial.
% 1.16/1.35 (* end of lemma zenon_L423_ *)
% 1.16/1.35 assert (zenon_L424_ : ((~(hskp8))\/((ndr1_0)/\((c0_1 (a2525))/\((c2_1 (a2525))/\(~(c3_1 (a2525))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((hskp23)\/(hskp27)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> (ndr1_0) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> False).
% 1.16/1.35 do 0 intro. intros zenon_H25a zenon_H101 zenon_H142 zenon_H75 zenon_H1e7 zenon_Hef zenon_Heb zenon_H1e0 zenon_Hcb zenon_H12f zenon_Hdd zenon_H92 zenon_H1ea zenon_H1e5 zenon_Hb3 zenon_H12 zenon_H261 zenon_H262 zenon_H263 zenon_H114 zenon_H116.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H112 | zenon_intro zenon_H25c ].
% 1.16/1.35 apply (zenon_L419_); trivial.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25d.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1d8. zenon_intro zenon_H25e.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.16/1.35 apply (zenon_L422_); trivial.
% 1.16/1.35 apply (zenon_L423_); trivial.
% 1.16/1.35 (* end of lemma zenon_L424_ *)
% 1.16/1.35 assert (zenon_L425_ : (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (ndr1_0) -> (~(c0_1 (a2521))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> False).
% 1.16/1.35 do 0 intro. intros zenon_Ha3 zenon_H12 zenon_H270 zenon_H261 zenon_H262.
% 1.16/1.35 generalize (zenon_Ha3 (a2521)). zenon_intro zenon_H271.
% 1.16/1.35 apply (zenon_imply_s _ _ zenon_H271); [ zenon_intro zenon_H11 | zenon_intro zenon_H272 ].
% 1.16/1.35 exact (zenon_H11 zenon_H12).
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H26c | zenon_intro zenon_H273 ].
% 1.16/1.35 exact (zenon_H270 zenon_H26c).
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H267 | zenon_intro zenon_H269 ].
% 1.16/1.35 exact (zenon_H261 zenon_H267).
% 1.16/1.35 exact (zenon_H269 zenon_H262).
% 1.16/1.35 (* end of lemma zenon_L425_ *)
% 1.16/1.35 assert (zenon_L426_ : (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))) -> (ndr1_0) -> (~(c1_1 (a2521))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (c2_1 (a2521)) -> False).
% 1.16/1.35 do 0 intro. intros zenon_H93 zenon_H12 zenon_H261 zenon_Ha3 zenon_H262.
% 1.16/1.35 generalize (zenon_H93 (a2521)). zenon_intro zenon_H274.
% 1.16/1.35 apply (zenon_imply_s _ _ zenon_H274); [ zenon_intro zenon_H11 | zenon_intro zenon_H275 ].
% 1.16/1.35 exact (zenon_H11 zenon_H12).
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H267 | zenon_intro zenon_H276 ].
% 1.16/1.35 exact (zenon_H261 zenon_H267).
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H270 | zenon_intro zenon_H269 ].
% 1.16/1.35 apply (zenon_L425_); trivial.
% 1.16/1.35 exact (zenon_H269 zenon_H262).
% 1.16/1.35 (* end of lemma zenon_L426_ *)
% 1.16/1.35 assert (zenon_L427_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))) -> (c2_1 (a2545)) -> (c1_1 (a2545)) -> (~(c0_1 (a2545))) -> (ndr1_0) -> (~(hskp3)) -> False).
% 1.16/1.35 do 0 intro. intros zenon_Hae zenon_H262 zenon_H261 zenon_H93 zenon_H58 zenon_H57 zenon_H56 zenon_H12 zenon_H49.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hb1 ].
% 1.16/1.35 apply (zenon_L426_); trivial.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H55 | zenon_intro zenon_H4a ].
% 1.16/1.35 apply (zenon_L25_); trivial.
% 1.16/1.35 exact (zenon_H49 zenon_H4a).
% 1.16/1.35 (* end of lemma zenon_L427_ *)
% 1.16/1.35 assert (zenon_L428_ : ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp25)) -> (~(hskp24)) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> (ndr1_0) -> (~(c0_1 (a2545))) -> (c1_1 (a2545)) -> (c2_1 (a2545)) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (~(hskp16)) -> False).
% 1.16/1.35 do 0 intro. intros zenon_H144 zenon_H7d zenon_H7b zenon_H1fa zenon_H1fb zenon_H1fc zenon_H7f zenon_H49 zenon_H12 zenon_H56 zenon_H57 zenon_H58 zenon_H261 zenon_H262 zenon_Hae zenon_H5.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H131 | zenon_intro zenon_H145 ].
% 1.16/1.35 apply (zenon_L239_); trivial.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H93 | zenon_intro zenon_H6 ].
% 1.16/1.35 apply (zenon_L427_); trivial.
% 1.16/1.35 exact (zenon_H5 zenon_H6).
% 1.16/1.35 (* end of lemma zenon_L428_ *)
% 1.16/1.35 assert (zenon_L429_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> (~(hskp28)) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> (~(hskp21)) -> (~(hskp26)) -> ((hskp30)\/((hskp21)\/(hskp26))) -> False).
% 1.16/1.35 do 0 intro. intros zenon_H3e zenon_H3a zenon_H37 zenon_H26 zenon_H25 zenon_H24 zenon_H9 zenon_H1a0 zenon_H1a2.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H1d | zenon_intro zenon_H39 ].
% 1.16/1.35 apply (zenon_L139_); trivial.
% 1.16/1.35 apply (zenon_L17_); trivial.
% 1.16/1.35 (* end of lemma zenon_L429_ *)
% 1.16/1.35 assert (zenon_L430_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(hskp26)) -> (~(hskp21)) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> False).
% 1.16/1.35 do 0 intro. intros zenon_H51 zenon_H203 zenon_H1 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H1a2 zenon_H1a0 zenon_H9 zenon_H24 zenon_H25 zenon_H26 zenon_H3a zenon_H3e.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ].
% 1.16/1.35 apply (zenon_L429_); trivial.
% 1.16/1.35 apply (zenon_L217_); trivial.
% 1.16/1.35 (* end of lemma zenon_L430_ *)
% 1.16/1.35 assert (zenon_L431_ : (forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))) -> (ndr1_0) -> (~(c2_1 (a2601))) -> (c0_1 (a2601)) -> (c3_1 (a2601)) -> False).
% 1.16/1.35 do 0 intro. intros zenon_H21f zenon_H12 zenon_H1a6 zenon_H1a4 zenon_H1a5.
% 1.16/1.35 generalize (zenon_H21f (a2601)). zenon_intro zenon_H277.
% 1.16/1.35 apply (zenon_imply_s _ _ zenon_H277); [ zenon_intro zenon_H11 | zenon_intro zenon_H278 ].
% 1.16/1.35 exact (zenon_H11 zenon_H12).
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H279 ].
% 1.16/1.35 exact (zenon_H1a6 zenon_H1b1).
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1af ].
% 1.16/1.35 exact (zenon_H1ae zenon_H1a4).
% 1.16/1.35 exact (zenon_H1af zenon_H1a5).
% 1.16/1.35 (* end of lemma zenon_L431_ *)
% 1.16/1.35 assert (zenon_L432_ : ((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c0_1 (a2564)) -> (~(c2_1 (a2564))) -> (~(c1_1 (a2564))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> False).
% 1.16/1.35 do 0 intro. intros zenon_H1b2 zenon_H223 zenon_H84 zenon_H83 zenon_H82 zenon_H263 zenon_H262 zenon_H261.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H12. zenon_intro zenon_H1b4.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H1a4. zenon_intro zenon_H1b5.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H1a5. zenon_intro zenon_H1a6.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H81 | zenon_intro zenon_H224 ].
% 1.16/1.35 apply (zenon_L39_); trivial.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H10c | zenon_intro zenon_H21f ].
% 1.16/1.35 apply (zenon_L418_); trivial.
% 1.16/1.35 apply (zenon_L431_); trivial.
% 1.16/1.35 (* end of lemma zenon_L432_ *)
% 1.16/1.35 assert (zenon_L433_ : ((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> (~(hskp21)) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> (~(hskp6)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> False).
% 1.16/1.35 do 0 intro. intros zenon_H8d zenon_H1b7 zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H3e zenon_H3a zenon_H26 zenon_H25 zenon_H24 zenon_H9 zenon_H1a2 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H1 zenon_H203 zenon_H51.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H12. zenon_intro zenon_H8f.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H84. zenon_intro zenon_H90.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H82. zenon_intro zenon_H83.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1b2 ].
% 1.16/1.35 apply (zenon_L430_); trivial.
% 1.16/1.35 apply (zenon_L432_); trivial.
% 1.16/1.35 (* end of lemma zenon_L433_ *)
% 1.16/1.35 assert (zenon_L434_ : ((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> (~(hskp21)) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> (~(hskp6)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> False).
% 1.16/1.35 do 0 intro. intros zenon_H9f zenon_H92 zenon_H1b7 zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H3e zenon_H3a zenon_H26 zenon_H25 zenon_H24 zenon_H9 zenon_H1a2 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H1 zenon_H203 zenon_H51 zenon_H49 zenon_H9d.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.16/1.35 apply (zenon_L44_); trivial.
% 1.16/1.35 apply (zenon_L433_); trivial.
% 1.16/1.35 (* end of lemma zenon_L434_ *)
% 1.16/1.35 assert (zenon_L435_ : ((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> (~(hskp13)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(hskp6)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a2545)) -> (c1_1 (a2545)) -> (~(c0_1 (a2545))) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> (~(hskp16)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> False).
% 1.16/1.35 do 0 intro. intros zenon_H71 zenon_H54 zenon_H8b zenon_H8e zenon_H92 zenon_H1b7 zenon_H223 zenon_H263 zenon_H3e zenon_H3a zenon_H1a2 zenon_H1 zenon_H203 zenon_H51 zenon_H7f zenon_H1fc zenon_H1fb zenon_H1fa zenon_Hae zenon_H49 zenon_H58 zenon_H57 zenon_H56 zenon_H262 zenon_H261 zenon_H5 zenon_H144 zenon_H9d zenon_Ha2.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.16/1.35 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.16/1.35 apply (zenon_L428_); trivial.
% 1.16/1.35 apply (zenon_L433_); trivial.
% 1.16/1.35 apply (zenon_L434_); trivial.
% 1.16/1.35 apply (zenon_L46_); trivial.
% 1.16/1.35 (* end of lemma zenon_L435_ *)
% 1.16/1.35 assert (zenon_L436_ : ((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> (~(hskp13)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp6)) -> (~(hskp16)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> False).
% 1.16/1.35 do 0 intro. intros zenon_Hb2 zenon_H74 zenon_H54 zenon_H8b zenon_H8e zenon_H92 zenon_H1b7 zenon_H223 zenon_H263 zenon_H3e zenon_H3a zenon_H1a2 zenon_H203 zenon_H51 zenon_H7f zenon_H1fc zenon_H1fb zenon_H1fa zenon_Hae zenon_H49 zenon_H262 zenon_H261 zenon_H144 zenon_H9d zenon_Ha2 zenon_H1 zenon_H5 zenon_H7.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.16/1.35 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.16/1.35 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.16/1.35 apply (zenon_L4_); trivial.
% 1.16/1.35 apply (zenon_L435_); trivial.
% 1.16/1.35 (* end of lemma zenon_L436_ *)
% 1.16/1.36 assert (zenon_L437_ : ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (ndr1_0) -> (~(hskp24)) -> False).
% 1.16/1.36 do 0 intro. intros zenon_H27a zenon_H263 zenon_H262 zenon_H261 zenon_H68 zenon_H67 zenon_H66 zenon_H12 zenon_H7b.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H10c | zenon_intro zenon_H18c ].
% 1.16/1.36 apply (zenon_L418_); trivial.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H65 | zenon_intro zenon_H7c ].
% 1.16/1.36 apply (zenon_L29_); trivial.
% 1.16/1.36 exact (zenon_H7b zenon_H7c).
% 1.16/1.36 (* end of lemma zenon_L437_ *)
% 1.16/1.36 assert (zenon_L438_ : ((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> False).
% 1.16/1.36 do 0 intro. intros zenon_H50 zenon_Ha2 zenon_H92 zenon_H177 zenon_H8e zenon_H8b zenon_H152 zenon_Hd6 zenon_H157 zenon_H49 zenon_H9d zenon_H261 zenon_H262 zenon_H263 zenon_H66 zenon_H67 zenon_H68 zenon_H27a.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.16/1.36 apply (zenon_L437_); trivial.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.16/1.36 apply (zenon_L44_); trivial.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H12. zenon_intro zenon_H8f.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H84. zenon_intro zenon_H90.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H82. zenon_intro zenon_H83.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.16/1.36 apply (zenon_L105_); trivial.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H55 | zenon_intro zenon_H91 ].
% 1.16/1.36 apply (zenon_L114_); trivial.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H81 | zenon_intro zenon_H8c ].
% 1.16/1.36 apply (zenon_L39_); trivial.
% 1.16/1.36 exact (zenon_H8b zenon_H8c).
% 1.16/1.36 (* end of lemma zenon_L438_ *)
% 1.16/1.36 assert (zenon_L439_ : ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c0_1 (a2564)) -> (~(c2_1 (a2564))) -> (~(c1_1 (a2564))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> (ndr1_0) -> (~(c2_1 (a2524))) -> (forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52)))))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> False).
% 1.16/1.36 do 0 intro. intros zenon_H223 zenon_H84 zenon_H83 zenon_H82 zenon_H263 zenon_H262 zenon_H261 zenon_H12 zenon_H1fa zenon_H131 zenon_H1fb zenon_H1fc.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H81 | zenon_intro zenon_H224 ].
% 1.16/1.36 apply (zenon_L39_); trivial.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H10c | zenon_intro zenon_H21f ].
% 1.16/1.36 apply (zenon_L418_); trivial.
% 1.16/1.36 apply (zenon_L242_); trivial.
% 1.16/1.36 (* end of lemma zenon_L439_ *)
% 1.16/1.36 assert (zenon_L440_ : ((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c1_1 (a2564))) -> (~(c2_1 (a2564))) -> (c0_1 (a2564)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (~(hskp17)) -> False).
% 1.16/1.36 do 0 intro. intros zenon_Hd8 zenon_H148 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H261 zenon_H262 zenon_H263 zenon_H82 zenon_H83 zenon_H84 zenon_H223 zenon_H146.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H12. zenon_intro zenon_Hda.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_Hcf. zenon_intro zenon_Hdb.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hcd. zenon_intro zenon_Hce.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H131 | zenon_intro zenon_H149 ].
% 1.16/1.36 apply (zenon_L439_); trivial.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hcc | zenon_intro zenon_H147 ].
% 1.16/1.36 apply (zenon_L59_); trivial.
% 1.16/1.36 exact (zenon_H146 zenon_H147).
% 1.16/1.36 (* end of lemma zenon_L440_ *)
% 1.16/1.36 assert (zenon_L441_ : ((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (~(hskp23)) -> ((hskp23)\/(hskp27)) -> False).
% 1.16/1.36 do 0 intro. intros zenon_H8d zenon_Hdd zenon_H148 zenon_H146 zenon_H261 zenon_H262 zenon_H263 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H223 zenon_Hc7 zenon_Hcb.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H12. zenon_intro zenon_H8f.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H84. zenon_intro zenon_H90.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H82. zenon_intro zenon_H83.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hd8 ].
% 1.16/1.36 apply (zenon_L58_); trivial.
% 1.16/1.36 apply (zenon_L440_); trivial.
% 1.16/1.36 (* end of lemma zenon_L441_ *)
% 1.16/1.36 assert (zenon_L442_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(hskp23)) -> ((hskp23)\/(hskp27)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> False).
% 1.16/1.36 do 0 intro. intros zenon_Ha2 zenon_H49 zenon_H9d zenon_Hdd zenon_H148 zenon_H146 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H7f zenon_Hc7 zenon_Hcb zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H92.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.16/1.36 apply (zenon_L241_); trivial.
% 1.16/1.36 apply (zenon_L441_); trivial.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.16/1.36 apply (zenon_L44_); trivial.
% 1.16/1.36 apply (zenon_L441_); trivial.
% 1.16/1.36 (* end of lemma zenon_L442_ *)
% 1.16/1.36 assert (zenon_L443_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> (~(hskp14)) -> (~(hskp20)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((hskp23)\/(hskp27)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> False).
% 1.16/1.36 do 0 intro. intros zenon_Hef zenon_Heb zenon_He8 zenon_H77 zenon_H92 zenon_H261 zenon_H262 zenon_H263 zenon_H223 zenon_Hcb zenon_H7f zenon_H1fc zenon_H1fb zenon_H1fa zenon_H146 zenon_H148 zenon_Hdd zenon_H9d zenon_H49 zenon_Ha2.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.16/1.36 apply (zenon_L442_); trivial.
% 1.16/1.36 apply (zenon_L65_); trivial.
% 1.16/1.36 (* end of lemma zenon_L443_ *)
% 1.16/1.36 assert (zenon_L444_ : ((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp23)\/(hskp27)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.16/1.36 do 0 intro. intros zenon_Hb2 zenon_Hb3 zenon_Hae zenon_Ha2 zenon_H49 zenon_H9d zenon_Hdd zenon_H148 zenon_H146 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H7f zenon_Hcb zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H92 zenon_He8 zenon_Heb zenon_Hef.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.16/1.36 apply (zenon_L443_); trivial.
% 1.16/1.36 apply (zenon_L48_); trivial.
% 1.16/1.36 (* end of lemma zenon_L444_ *)
% 1.16/1.36 assert (zenon_L445_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> (~(hskp14)) -> ((hskp23)\/(hskp27)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> (~(hskp1)) -> ((hskp21)\/((hskp18)\/(hskp1))) -> (~(hskp6)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (c3_1 (a2521)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.16/1.36 do 0 intro. intros zenon_Hb9 zenon_H190 zenon_H18b zenon_H174 zenon_H163 zenon_H189 zenon_H177 zenon_H152 zenon_Hd6 zenon_H157 zenon_H27a zenon_Hef zenon_Heb zenon_He8 zenon_Hcb zenon_H148 zenon_Hdd zenon_Hb3 zenon_H74 zenon_H54 zenon_H51 zenon_H4b zenon_H49 zenon_H21 zenon_H1f zenon_H3a zenon_H3e zenon_Hd zenon_Hf zenon_H1 zenon_H7 zenon_Ha2 zenon_H9d zenon_H144 zenon_H261 zenon_H262 zenon_Hae zenon_H1fa zenon_H1fb zenon_H1fc zenon_H7f zenon_H203 zenon_H1a2 zenon_H263 zenon_H223 zenon_H1b7 zenon_H92 zenon_H8e zenon_H8b zenon_Hba.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.16/1.36 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.16/1.36 apply (zenon_L32_); trivial.
% 1.16/1.36 apply (zenon_L436_); trivial.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.16/1.36 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.16/1.36 apply (zenon_L8_); trivial.
% 1.16/1.36 apply (zenon_L438_); trivial.
% 1.16/1.36 apply (zenon_L444_); trivial.
% 1.16/1.36 apply (zenon_L122_); trivial.
% 1.16/1.36 (* end of lemma zenon_L445_ *)
% 1.16/1.36 assert (zenon_L446_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(hskp2)) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp1)) -> False).
% 1.16/1.36 do 0 intro. intros zenon_Hfe zenon_Hfc zenon_H75 zenon_H261 zenon_H262 zenon_H1e7 zenon_Hd.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hfd ].
% 1.16/1.36 apply (zenon_L71_); trivial.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Ha3 | zenon_intro zenon_He ].
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H1e8 ].
% 1.16/1.36 apply (zenon_L71_); trivial.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H93 | zenon_intro zenon_H76 ].
% 1.16/1.36 apply (zenon_L426_); trivial.
% 1.16/1.36 exact (zenon_H75 zenon_H76).
% 1.16/1.36 exact (zenon_Hd zenon_He).
% 1.16/1.36 (* end of lemma zenon_L446_ *)
% 1.16/1.36 assert (zenon_L447_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((hskp23)\/(hskp27)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> (~(hskp1)) -> ((hskp21)\/((hskp18)\/(hskp1))) -> (~(hskp6)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (c3_1 (a2521)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> False).
% 1.16/1.36 do 0 intro. intros zenon_H1d5 zenon_Hc5 zenon_Hb9 zenon_H190 zenon_H18b zenon_H174 zenon_H163 zenon_H189 zenon_H177 zenon_H152 zenon_Hd6 zenon_H157 zenon_H27a zenon_Hef zenon_Heb zenon_Hcb zenon_H148 zenon_Hdd zenon_Hb3 zenon_H74 zenon_H54 zenon_H51 zenon_H4b zenon_H49 zenon_H21 zenon_H1f zenon_H3a zenon_H3e zenon_Hd zenon_Hf zenon_H1 zenon_H7 zenon_Ha2 zenon_H9d zenon_H144 zenon_H261 zenon_H262 zenon_Hae zenon_H1fa zenon_H1fb zenon_H1fc zenon_H7f zenon_H203 zenon_H1a2 zenon_H263 zenon_H223 zenon_H1b7 zenon_H92 zenon_H8e zenon_Hba zenon_H1e7 zenon_H75 zenon_Hfc zenon_H101.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.16/1.36 apply (zenon_L445_); trivial.
% 1.16/1.36 apply (zenon_L446_); trivial.
% 1.16/1.36 apply (zenon_L218_); trivial.
% 1.16/1.36 (* end of lemma zenon_L447_ *)
% 1.16/1.36 assert (zenon_L448_ : ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> (~(c3_1 (a2553))) -> (c0_1 (a2553)) -> (~(c1_1 (a2553))) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))) -> (ndr1_0) -> (~(hskp24)) -> False).
% 1.16/1.36 do 0 intro. intros zenon_H27a zenon_H263 zenon_H262 zenon_H261 zenon_He0 zenon_He1 zenon_Hdf zenon_H93 zenon_H12 zenon_H7b.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H10c | zenon_intro zenon_H18c ].
% 1.16/1.36 apply (zenon_L418_); trivial.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H65 | zenon_intro zenon_H7c ].
% 1.16/1.36 apply (zenon_L94_); trivial.
% 1.16/1.36 exact (zenon_H7b zenon_H7c).
% 1.16/1.36 (* end of lemma zenon_L448_ *)
% 1.16/1.36 assert (zenon_L449_ : ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp24)) -> (ndr1_0) -> (~(c1_1 (a2553))) -> (c0_1 (a2553)) -> (~(c3_1 (a2553))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (~(hskp25)) -> (~(hskp3)) -> False).
% 1.16/1.36 do 0 intro. intros zenon_H9d zenon_H7b zenon_H12 zenon_Hdf zenon_He1 zenon_He0 zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_H7d zenon_H49.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H93 | zenon_intro zenon_H9e ].
% 1.16/1.36 apply (zenon_L448_); trivial.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H7e | zenon_intro zenon_H4a ].
% 1.16/1.36 exact (zenon_H7d zenon_H7e).
% 1.16/1.36 exact (zenon_H49 zenon_H4a).
% 1.16/1.36 (* end of lemma zenon_L449_ *)
% 1.16/1.36 assert (zenon_L450_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> (~(hskp6)) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(hskp21)) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((hskp23)\/(hskp27)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> False).
% 1.16/1.36 do 0 intro. intros zenon_Hef zenon_H27a zenon_H51 zenon_H203 zenon_H1 zenon_H1a2 zenon_H9 zenon_H24 zenon_H25 zenon_H26 zenon_H3a zenon_H3e zenon_H1b7 zenon_H92 zenon_H261 zenon_H262 zenon_H263 zenon_H223 zenon_Hcb zenon_H7f zenon_H1fc zenon_H1fb zenon_H1fa zenon_H146 zenon_H148 zenon_Hdd zenon_H9d zenon_H49 zenon_Ha2.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.16/1.36 apply (zenon_L442_); trivial.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.16/1.36 apply (zenon_L449_); trivial.
% 1.16/1.36 apply (zenon_L433_); trivial.
% 1.16/1.36 apply (zenon_L434_); trivial.
% 1.16/1.36 (* end of lemma zenon_L450_ *)
% 1.16/1.36 assert (zenon_L451_ : ((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> False).
% 1.16/1.36 do 0 intro. intros zenon_H50 zenon_H51 zenon_H203 zenon_H1 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H21 zenon_H1f zenon_H24 zenon_H25 zenon_H26 zenon_H3a zenon_H3e.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ].
% 1.16/1.36 apply (zenon_L18_); trivial.
% 1.16/1.36 apply (zenon_L217_); trivial.
% 1.16/1.36 (* end of lemma zenon_L451_ *)
% 1.16/1.36 assert (zenon_L452_ : ((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp23)\/(hskp27)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(hskp6)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.16/1.36 do 0 intro. intros zenon_H71 zenon_H54 zenon_H21 zenon_H1f zenon_Ha2 zenon_H49 zenon_H9d zenon_Hdd zenon_H148 zenon_H146 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H7f zenon_Hcb zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H92 zenon_H1b7 zenon_H3e zenon_H3a zenon_H1a2 zenon_H1 zenon_H203 zenon_H51 zenon_H27a zenon_Hef.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.16/1.36 apply (zenon_L450_); trivial.
% 1.16/1.36 apply (zenon_L451_); trivial.
% 1.16/1.36 (* end of lemma zenon_L452_ *)
% 1.16/1.36 assert (zenon_L453_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp23)\/(hskp27)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> (~(hskp6)) -> (~(hskp16)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> False).
% 1.16/1.36 do 0 intro. intros zenon_H74 zenon_H54 zenon_H21 zenon_H1f zenon_Ha2 zenon_H49 zenon_H9d zenon_Hdd zenon_H148 zenon_H146 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H7f zenon_Hcb zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H92 zenon_H1b7 zenon_H3e zenon_H3a zenon_H1a2 zenon_H203 zenon_H51 zenon_H27a zenon_Hef zenon_H1 zenon_H5 zenon_H7.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.16/1.36 apply (zenon_L4_); trivial.
% 1.16/1.36 apply (zenon_L452_); trivial.
% 1.16/1.36 (* end of lemma zenon_L453_ *)
% 1.16/1.36 assert (zenon_L454_ : ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c1_1 (a2564))) -> (~(c2_1 (a2564))) -> (c0_1 (a2564)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c1_1 (a2551)) -> (c0_1 (a2551)) -> (forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))) -> (~(c2_1 (a2551))) -> (ndr1_0) -> (~(hskp17)) -> False).
% 1.16/1.36 do 0 intro. intros zenon_H148 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H261 zenon_H262 zenon_H263 zenon_H82 zenon_H83 zenon_H84 zenon_H223 zenon_H16 zenon_H15 zenon_H14a zenon_H14 zenon_H12 zenon_H146.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H131 | zenon_intro zenon_H149 ].
% 1.16/1.36 apply (zenon_L439_); trivial.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hcc | zenon_intro zenon_H147 ].
% 1.16/1.36 apply (zenon_L129_); trivial.
% 1.16/1.36 exact (zenon_H146 zenon_H147).
% 1.16/1.36 (* end of lemma zenon_L454_ *)
% 1.16/1.36 assert (zenon_L455_ : ((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (c2_1 (a2555)) -> (c0_1 (a2555)) -> (~(c1_1 (a2555))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c1_1 (a2551)) -> (c0_1 (a2551)) -> (~(c2_1 (a2551))) -> (~(hskp17)) -> False).
% 1.16/1.36 do 0 intro. intros zenon_H8d zenon_H1b3 zenon_H68 zenon_H67 zenon_H66 zenon_H105 zenon_H103 zenon_H10d zenon_H96 zenon_H95 zenon_H94 zenon_H148 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H261 zenon_H262 zenon_H263 zenon_H223 zenon_H16 zenon_H15 zenon_H14 zenon_H146.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H12. zenon_intro zenon_H8f.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H84. zenon_intro zenon_H90.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H82. zenon_intro zenon_H83.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H102 | zenon_intro zenon_H1b6 ].
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H131 | zenon_intro zenon_H149 ].
% 1.16/1.36 apply (zenon_L439_); trivial.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hcc | zenon_intro zenon_H147 ].
% 1.16/1.36 apply (zenon_L375_); trivial.
% 1.16/1.36 exact (zenon_H146 zenon_H147).
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H93 | zenon_intro zenon_H14a ].
% 1.16/1.36 apply (zenon_L43_); trivial.
% 1.16/1.36 apply (zenon_L454_); trivial.
% 1.16/1.36 (* end of lemma zenon_L455_ *)
% 1.16/1.36 assert (zenon_L456_ : ((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> False).
% 1.16/1.36 do 0 intro. intros zenon_H50 zenon_Ha2 zenon_H92 zenon_H1b3 zenon_H223 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H105 zenon_H103 zenon_H10d zenon_H146 zenon_H148 zenon_H49 zenon_H9d zenon_H261 zenon_H262 zenon_H263 zenon_H66 zenon_H67 zenon_H68 zenon_H27a.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.16/1.36 apply (zenon_L437_); trivial.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.16/1.36 apply (zenon_L44_); trivial.
% 1.16/1.36 apply (zenon_L455_); trivial.
% 1.16/1.36 (* end of lemma zenon_L456_ *)
% 1.16/1.36 assert (zenon_L457_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp23)\/(hskp27)) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((hskp21)\/((hskp18)\/(hskp1))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> False).
% 1.16/1.36 do 0 intro. intros zenon_Hba zenon_Hb3 zenon_Hae zenon_Hdd zenon_H7f zenon_Hcb zenon_He8 zenon_Heb zenon_Hef zenon_Hf zenon_Hd zenon_H27a zenon_H68 zenon_H67 zenon_H66 zenon_H263 zenon_H262 zenon_H261 zenon_H9d zenon_H49 zenon_H148 zenon_H146 zenon_H10d zenon_H103 zenon_H105 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H223 zenon_H1b3 zenon_H92 zenon_Ha2 zenon_H54.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.16/1.36 apply (zenon_L8_); trivial.
% 1.16/1.36 apply (zenon_L456_); trivial.
% 1.16/1.36 apply (zenon_L444_); trivial.
% 1.16/1.36 (* end of lemma zenon_L457_ *)
% 1.16/1.36 assert (zenon_L458_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(c1_1 (a2528))) -> (~(hskp1)) -> ((hskp21)\/((hskp18)\/(hskp1))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp23)\/(hskp27)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> (~(hskp6)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.16/1.36 do 0 intro. intros zenon_Hb9 zenon_H1b3 zenon_H10d zenon_Hd zenon_Hf zenon_Heb zenon_Hae zenon_Hb3 zenon_Hba zenon_H74 zenon_H54 zenon_H21 zenon_H1f zenon_Ha2 zenon_H49 zenon_H9d zenon_Hdd zenon_H148 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H7f zenon_Hcb zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H92 zenon_H1b7 zenon_H3e zenon_H3a zenon_H1a2 zenon_H203 zenon_H51 zenon_H27a zenon_Hef zenon_H1 zenon_H7 zenon_H218 zenon_He8 zenon_H105 zenon_H103 zenon_H11b zenon_H11d zenon_H190.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.16/1.36 apply (zenon_L453_); trivial.
% 1.16/1.36 apply (zenon_L235_); trivial.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.16/1.36 apply (zenon_L457_); trivial.
% 1.16/1.36 apply (zenon_L235_); trivial.
% 1.16/1.36 (* end of lemma zenon_L458_ *)
% 1.16/1.36 assert (zenon_L459_ : ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((hskp6)\/((hskp19)\/(hskp16))) -> (~(hskp6)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((hskp23)\/(hskp27)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((hskp21)\/((hskp18)\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2528))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> False).
% 1.16/1.36 do 0 intro. intros zenon_H101 zenon_Hfc zenon_H75 zenon_H1e7 zenon_H190 zenon_H11d zenon_H11b zenon_H103 zenon_H105 zenon_H218 zenon_H7 zenon_H1 zenon_Hef zenon_H27a zenon_H51 zenon_H203 zenon_H1a2 zenon_H3a zenon_H3e zenon_H1b7 zenon_H92 zenon_H261 zenon_H262 zenon_H263 zenon_H223 zenon_Hcb zenon_H7f zenon_H1fc zenon_H1fb zenon_H1fa zenon_H148 zenon_Hdd zenon_H9d zenon_H49 zenon_Ha2 zenon_H1f zenon_H21 zenon_H54 zenon_H74 zenon_Hba zenon_Hb3 zenon_Hae zenon_Heb zenon_Hf zenon_Hd zenon_H10d zenon_H1b3 zenon_Hb9.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.16/1.36 apply (zenon_L458_); trivial.
% 1.16/1.36 apply (zenon_L446_); trivial.
% 1.16/1.36 (* end of lemma zenon_L459_ *)
% 1.16/1.36 assert (zenon_L460_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> (~(hskp13)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp6)) -> (~(hskp16)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> False).
% 1.16/1.36 do 0 intro. intros zenon_H18d zenon_Hba zenon_H74 zenon_H54 zenon_H8b zenon_H8e zenon_H92 zenon_H1b7 zenon_H223 zenon_H263 zenon_H3e zenon_H3a zenon_H1a2 zenon_H203 zenon_H51 zenon_H7f zenon_Hae zenon_H49 zenon_H262 zenon_H261 zenon_H144 zenon_H9d zenon_Ha2 zenon_H1 zenon_H5 zenon_H7 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H177.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.16/1.36 apply (zenon_L224_); trivial.
% 1.16/1.36 apply (zenon_L436_); trivial.
% 1.16/1.36 (* end of lemma zenon_L460_ *)
% 1.16/1.36 assert (zenon_L461_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> (~(hskp13)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((hskp6)\/((hskp19)\/(hskp16))) -> (~(hskp16)) -> (~(hskp6)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((hskp23)\/(hskp27)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.16/1.36 do 0 intro. intros zenon_H190 zenon_Hba zenon_H8b zenon_H8e zenon_Hae zenon_H144 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H20d zenon_H177 zenon_H7 zenon_H5 zenon_H1 zenon_Hef zenon_H27a zenon_H51 zenon_H203 zenon_H1a2 zenon_H3a zenon_H3e zenon_H1b7 zenon_H92 zenon_H261 zenon_H262 zenon_H263 zenon_H223 zenon_Hcb zenon_H7f zenon_H1fc zenon_H1fb zenon_H1fa zenon_H148 zenon_Hdd zenon_H9d zenon_H49 zenon_Ha2 zenon_H1f zenon_H21 zenon_H54 zenon_H74.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.16/1.36 apply (zenon_L453_); trivial.
% 1.16/1.36 apply (zenon_L460_); trivial.
% 1.16/1.36 (* end of lemma zenon_L461_ *)
% 1.16/1.36 assert (zenon_L462_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (~(hskp1)) -> ((hskp21)\/((hskp18)\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> (~(hskp14)) -> ((hskp23)\/(hskp27)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.16/1.36 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_H8e zenon_H8b zenon_H18b zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H20d zenon_H177 zenon_H54 zenon_Ha2 zenon_H92 zenon_H1b3 zenon_H223 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H105 zenon_H103 zenon_H10d zenon_H148 zenon_H49 zenon_H9d zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_Hd zenon_Hf zenon_Hef zenon_Heb zenon_He8 zenon_Hcb zenon_H7f zenon_Hdd zenon_Hae zenon_Hb3 zenon_Hba.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.16/1.36 apply (zenon_L457_); trivial.
% 1.16/1.36 apply (zenon_L225_); trivial.
% 1.16/1.36 (* end of lemma zenon_L462_ *)
% 1.16/1.36 assert (zenon_L463_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (~(hskp1)) -> ((hskp21)\/((hskp18)\/(hskp1))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp23)\/(hskp27)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> (~(hskp6)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.16/1.36 do 0 intro. intros zenon_Hb9 zenon_H18b zenon_H1b3 zenon_H105 zenon_H103 zenon_H10d zenon_Hd zenon_Hf zenon_Heb zenon_He8 zenon_Hb3 zenon_H74 zenon_H54 zenon_H21 zenon_H1f zenon_Ha2 zenon_H49 zenon_H9d zenon_Hdd zenon_H148 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H7f zenon_Hcb zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H92 zenon_H1b7 zenon_H3e zenon_H3a zenon_H1a2 zenon_H203 zenon_H51 zenon_H27a zenon_Hef zenon_H1 zenon_H7 zenon_H177 zenon_H20d zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H144 zenon_Hae zenon_H8e zenon_H8b zenon_Hba zenon_H190.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.16/1.36 apply (zenon_L461_); trivial.
% 1.16/1.36 apply (zenon_L462_); trivial.
% 1.16/1.36 (* end of lemma zenon_L463_ *)
% 1.16/1.36 assert (zenon_L464_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> (~(hskp13)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp16)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> (ndr1_0) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (c3_1 (a2526)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (~(hskp6)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> False).
% 1.16/1.36 do 0 intro. intros zenon_Hba zenon_H74 zenon_H54 zenon_H8b zenon_H8e zenon_H92 zenon_H1b7 zenon_H223 zenon_H263 zenon_H3e zenon_H3a zenon_H1a2 zenon_H7f zenon_Hae zenon_H262 zenon_H261 zenon_H144 zenon_H9d zenon_Ha2 zenon_H5 zenon_H7 zenon_Hc5 zenon_H49 zenon_H12 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H133 zenon_H132 zenon_H134 zenon_H20d zenon_H1 zenon_H203 zenon_H51.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.16/1.36 apply (zenon_L221_); trivial.
% 1.16/1.36 apply (zenon_L436_); trivial.
% 1.16/1.36 (* end of lemma zenon_L464_ *)
% 1.16/1.36 assert (zenon_L465_ : ((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c2_1 (a2549)) -> (~(c1_1 (a2549))) -> (~(c0_1 (a2549))) -> (c2_1 (a2545)) -> (c1_1 (a2545)) -> (~(c0_1 (a2545))) -> False).
% 1.16/1.36 do 0 intro. intros zenon_H9f zenon_H1f3 zenon_Ha6 zenon_Ha5 zenon_Ha4 zenon_H58 zenon_H57 zenon_H56.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H1f4 ].
% 1.16/1.36 apply (zenon_L47_); trivial.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H55 | zenon_intro zenon_H93 ].
% 1.16/1.36 apply (zenon_L25_); trivial.
% 1.16/1.36 apply (zenon_L43_); trivial.
% 1.16/1.36 (* end of lemma zenon_L465_ *)
% 1.16/1.36 assert (zenon_L466_ : ((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(c0_1 (a2549))) -> (~(c1_1 (a2549))) -> (c2_1 (a2549)) -> (~(c0_1 (a2545))) -> (c1_1 (a2545)) -> (c2_1 (a2545)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> False).
% 1.16/1.36 do 0 intro. intros zenon_Hea zenon_Ha2 zenon_Ha4 zenon_Ha5 zenon_Ha6 zenon_H56 zenon_H57 zenon_H58 zenon_H27a zenon_H263 zenon_H262 zenon_H261 zenon_H1f3.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H1f4 ].
% 1.16/1.36 apply (zenon_L47_); trivial.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H55 | zenon_intro zenon_H93 ].
% 1.16/1.36 apply (zenon_L25_); trivial.
% 1.16/1.36 apply (zenon_L448_); trivial.
% 1.16/1.36 apply (zenon_L465_); trivial.
% 1.16/1.36 (* end of lemma zenon_L466_ *)
% 1.16/1.36 assert (zenon_L467_ : ((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(c0_1 (a2545))) -> (c1_1 (a2545)) -> (c2_1 (a2545)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> False).
% 1.16/1.36 do 0 intro. intros zenon_Had zenon_Hef zenon_Ha2 zenon_H56 zenon_H57 zenon_H58 zenon_H27a zenon_H263 zenon_H262 zenon_H261 zenon_H1f3 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H146 zenon_H148 zenon_Hdd.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.16/1.36 apply (zenon_L100_); trivial.
% 1.16/1.36 apply (zenon_L466_); trivial.
% 1.16/1.36 (* end of lemma zenon_L467_ *)
% 1.16/1.36 assert (zenon_L468_ : ((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.16/1.36 do 0 intro. intros zenon_Hb2 zenon_Hb3 zenon_Ha2 zenon_H27a zenon_H263 zenon_H262 zenon_H261 zenon_H1f3 zenon_Hdd zenon_H148 zenon_H146 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_He8 zenon_Heb zenon_Hef.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.16/1.36 apply (zenon_L195_); trivial.
% 1.16/1.36 apply (zenon_L467_); trivial.
% 1.16/1.36 (* end of lemma zenon_L468_ *)
% 1.16/1.36 assert (zenon_L469_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> ((hskp23)\/(hskp27)) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> (ndr1_0) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (c3_1 (a2526)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (~(hskp6)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> False).
% 1.16/1.36 do 0 intro. intros zenon_Hba zenon_Hb3 zenon_Ha2 zenon_H27a zenon_H263 zenon_H262 zenon_H261 zenon_H1f3 zenon_Hdd zenon_H148 zenon_H146 zenon_Hcb zenon_He8 zenon_Heb zenon_Hef zenon_Hc5 zenon_H49 zenon_H12 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H133 zenon_H132 zenon_H134 zenon_H20d zenon_H1 zenon_H203 zenon_H51.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.16/1.36 apply (zenon_L221_); trivial.
% 1.16/1.36 apply (zenon_L468_); trivial.
% 1.16/1.36 (* end of lemma zenon_L469_ *)
% 1.16/1.36 assert (zenon_L470_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((hskp21)\/((hskp18)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c3_1 (a2526)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> (~(hskp14)) -> ((hskp23)\/(hskp27)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.16/1.36 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_H92 zenon_H8e zenon_H8b zenon_H9d zenon_H18b zenon_Hf zenon_Hd zenon_H177 zenon_H174 zenon_H163 zenon_H152 zenon_Hd6 zenon_H157 zenon_H189 zenon_H54 zenon_H51 zenon_H203 zenon_H1 zenon_H20d zenon_H134 zenon_H132 zenon_H133 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H49 zenon_Hc5 zenon_Hef zenon_Heb zenon_He8 zenon_Hcb zenon_H148 zenon_Hdd zenon_H1f3 zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_Ha2 zenon_Hb3 zenon_Hba.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.16/1.36 apply (zenon_L469_); trivial.
% 1.16/1.36 apply (zenon_L122_); trivial.
% 1.16/1.36 (* end of lemma zenon_L470_ *)
% 1.16/1.36 assert (zenon_L471_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((hskp21)\/((hskp18)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> (~(hskp14)) -> ((hskp23)\/(hskp27)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c3_1 (a2526)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (ndr1_0) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((hskp6)\/((hskp19)\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> (c3_1 (a2521)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.16/1.36 do 0 intro. intros zenon_Hb9 zenon_H190 zenon_H18b zenon_Hf zenon_Hd zenon_H177 zenon_H174 zenon_H163 zenon_H152 zenon_Hd6 zenon_H157 zenon_H189 zenon_Hef zenon_Heb zenon_He8 zenon_Hcb zenon_H148 zenon_Hdd zenon_H1f3 zenon_H27a zenon_Hb3 zenon_H51 zenon_H203 zenon_H1 zenon_H20d zenon_H134 zenon_H132 zenon_H133 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H12 zenon_H49 zenon_Hc5 zenon_H7 zenon_Ha2 zenon_H9d zenon_H144 zenon_H261 zenon_H262 zenon_Hae zenon_H7f zenon_H1a2 zenon_H3a zenon_H3e zenon_H263 zenon_H223 zenon_H1b7 zenon_H92 zenon_H8e zenon_H8b zenon_H54 zenon_H74 zenon_Hba.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.16/1.36 apply (zenon_L464_); trivial.
% 1.16/1.36 apply (zenon_L470_); trivial.
% 1.16/1.36 (* end of lemma zenon_L471_ *)
% 1.16/1.36 assert (zenon_L472_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c3_1 (a2526)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (ndr1_0) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> (~(hskp14)) -> ((hskp23)\/(hskp27)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.16/1.36 do 0 intro. intros zenon_H190 zenon_H11d zenon_H11b zenon_H103 zenon_H105 zenon_H218 zenon_H51 zenon_H203 zenon_H1 zenon_H20d zenon_H134 zenon_H132 zenon_H133 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H12 zenon_H49 zenon_Hc5 zenon_Hef zenon_Heb zenon_He8 zenon_Hcb zenon_H148 zenon_Hdd zenon_H1f3 zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_Ha2 zenon_Hb3 zenon_Hba.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.16/1.36 apply (zenon_L469_); trivial.
% 1.16/1.36 apply (zenon_L235_); trivial.
% 1.16/1.36 (* end of lemma zenon_L472_ *)
% 1.16/1.36 assert (zenon_L473_ : ((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> (~(hskp16)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> False).
% 1.16/1.36 do 0 intro. intros zenon_Hea zenon_Ha2 zenon_H132 zenon_H133 zenon_H134 zenon_H27a zenon_H263 zenon_H262 zenon_H261 zenon_H5 zenon_H144.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H131 | zenon_intro zenon_H145 ].
% 1.16/1.36 apply (zenon_L93_); trivial.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H93 | zenon_intro zenon_H6 ].
% 1.16/1.36 apply (zenon_L448_); trivial.
% 1.16/1.36 exact (zenon_H5 zenon_H6).
% 1.16/1.36 apply (zenon_L199_); trivial.
% 1.16/1.36 (* end of lemma zenon_L473_ *)
% 1.16/1.36 assert (zenon_L474_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> (~(hskp16)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> False).
% 1.16/1.36 do 0 intro. intros zenon_Hef zenon_Ha2 zenon_H27a zenon_H263 zenon_H262 zenon_H261 zenon_H5 zenon_H144 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H146 zenon_H148 zenon_Hdd.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.16/1.36 apply (zenon_L100_); trivial.
% 1.16/1.36 apply (zenon_L473_); trivial.
% 1.16/1.36 (* end of lemma zenon_L474_ *)
% 1.16/1.36 assert (zenon_L475_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(hskp24)) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (ndr1_0) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a2545)) -> (c1_1 (a2545)) -> (~(c0_1 (a2545))) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> (~(hskp16)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> False).
% 1.16/1.36 do 0 intro. intros zenon_H92 zenon_H8e zenon_H8b zenon_H7f zenon_H7b zenon_H1fc zenon_H1fb zenon_H1fa zenon_H12 zenon_Hae zenon_H49 zenon_H58 zenon_H57 zenon_H56 zenon_H262 zenon_H261 zenon_H5 zenon_H144.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.16/1.36 apply (zenon_L428_); trivial.
% 1.16/1.36 apply (zenon_L41_); trivial.
% 1.16/1.36 (* end of lemma zenon_L475_ *)
% 1.16/1.36 assert (zenon_L476_ : ((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (~(hskp3)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(hskp13)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> False).
% 1.16/1.36 do 0 intro. intros zenon_Hb2 zenon_Ha2 zenon_H134 zenon_H133 zenon_H132 zenon_H144 zenon_H5 zenon_H261 zenon_H262 zenon_H49 zenon_Hae zenon_H1fa zenon_H1fb zenon_H1fc zenon_H7f zenon_H8b zenon_H8e zenon_H92.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.16/1.36 apply (zenon_L475_); trivial.
% 1.16/1.36 apply (zenon_L199_); trivial.
% 1.16/1.36 (* end of lemma zenon_L476_ *)
% 1.16/1.36 assert (zenon_L477_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (~(hskp3)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(hskp13)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> False).
% 1.16/1.36 do 0 intro. intros zenon_H18d zenon_Hba zenon_Ha2 zenon_H134 zenon_H133 zenon_H132 zenon_H144 zenon_H5 zenon_H261 zenon_H262 zenon_H49 zenon_Hae zenon_H7f zenon_H8b zenon_H8e zenon_H92 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H177.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.16/1.36 apply (zenon_L224_); trivial.
% 1.16/1.36 apply (zenon_L476_); trivial.
% 1.16/1.36 (* end of lemma zenon_L477_ *)
% 1.16/1.36 assert (zenon_L478_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> (~(hskp3)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(hskp13)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.16/1.36 do 0 intro. intros zenon_H190 zenon_Hba zenon_H49 zenon_Hae zenon_H7f zenon_H8b zenon_H8e zenon_H92 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H177 zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H144 zenon_H5 zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_Ha2 zenon_Hef.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.16/1.36 apply (zenon_L474_); trivial.
% 1.16/1.36 apply (zenon_L477_); trivial.
% 1.16/1.36 (* end of lemma zenon_L478_ *)
% 1.16/1.36 assert (zenon_L479_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp1)) -> ((hskp21)\/((hskp18)\/(hskp1))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.16/1.36 do 0 intro. intros zenon_Hb9 zenon_H18b zenon_H54 zenon_H1b3 zenon_H223 zenon_H105 zenon_H103 zenon_H10d zenon_H9d zenon_Hd zenon_Hf zenon_Heb zenon_He8 zenon_Hb3 zenon_Hef zenon_Ha2 zenon_H27a zenon_H263 zenon_H262 zenon_H261 zenon_H144 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_Hdd zenon_H177 zenon_H20d zenon_H1fc zenon_H1fb zenon_H1fa zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H92 zenon_H8e zenon_H8b zenon_H7f zenon_Hae zenon_H49 zenon_Hba zenon_H190.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.16/1.36 apply (zenon_L478_); trivial.
% 1.16/1.36 apply (zenon_L462_); trivial.
% 1.16/1.36 (* end of lemma zenon_L479_ *)
% 1.16/1.36 assert (zenon_L480_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> False).
% 1.16/1.36 do 0 intro. intros zenon_H18d zenon_H54 zenon_Hef zenon_H189 zenon_H157 zenon_Hd6 zenon_H152 zenon_H163 zenon_H174 zenon_H177 zenon_H66 zenon_H67 zenon_H68 zenon_H225 zenon_H226 zenon_H227 zenon_H241.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.16/1.36 apply (zenon_L295_); trivial.
% 1.16/1.36 apply (zenon_L118_); trivial.
% 1.16/1.36 (* end of lemma zenon_L480_ *)
% 1.16/1.36 assert (zenon_L481_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> (~(hskp10)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((hskp23)\/(hskp27)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.16/1.36 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_H54 zenon_H189 zenon_H157 zenon_H163 zenon_H174 zenon_H241 zenon_H177 zenon_H20d zenon_H1fc zenon_H1fb zenon_H1fa zenon_H225 zenon_H226 zenon_H227 zenon_Hd6 zenon_H152 zenon_Hef zenon_Heb zenon_He8 zenon_H92 zenon_H261 zenon_H262 zenon_H263 zenon_H223 zenon_Hcb zenon_H7f zenon_H148 zenon_Hdd zenon_H9d zenon_H49 zenon_Ha2 zenon_Hae zenon_Hb3 zenon_Hba.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.16/1.36 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.16/1.36 apply (zenon_L324_); trivial.
% 1.16/1.36 apply (zenon_L444_); trivial.
% 1.16/1.36 apply (zenon_L480_); trivial.
% 1.16/1.36 (* end of lemma zenon_L481_ *)
% 1.16/1.36 assert (zenon_L482_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a2521)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((hskp23)\/(hskp27)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (ndr1_0) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> (~(hskp10)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.16/1.36 do 0 intro. intros zenon_Hb9 zenon_H190 zenon_H54 zenon_H189 zenon_H157 zenon_H163 zenon_H174 zenon_H241 zenon_Hef zenon_Heb zenon_He8 zenon_H263 zenon_H223 zenon_Hcb zenon_H148 zenon_Hdd zenon_Hb3 zenon_H177 zenon_H20d zenon_H1fc zenon_H1fb zenon_H1fa zenon_H12 zenon_H225 zenon_H226 zenon_H227 zenon_Hd6 zenon_H152 zenon_H92 zenon_H8e zenon_H8b zenon_H7f zenon_Hae zenon_H49 zenon_H262 zenon_H261 zenon_H144 zenon_H9d zenon_Ha2 zenon_Hba.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.16/1.36 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.16/1.36 apply (zenon_L324_); trivial.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.16/1.36 apply (zenon_L475_); trivial.
% 1.16/1.36 apply (zenon_L45_); trivial.
% 1.16/1.36 apply (zenon_L481_); trivial.
% 1.16/1.36 (* end of lemma zenon_L482_ *)
% 1.16/1.36 assert (zenon_L483_ : ((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (~(hskp21)) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> (~(c1_1 (a2553))) -> (c0_1 (a2553)) -> (~(c3_1 (a2553))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (~(hskp16)) -> False).
% 1.16/1.36 do 0 intro. intros zenon_H8d zenon_H144 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H261 zenon_H262 zenon_H263 zenon_H223 zenon_H9 zenon_H225 zenon_H226 zenon_H227 zenon_Hdf zenon_He1 zenon_He0 zenon_H241 zenon_H5.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H12. zenon_intro zenon_H8f.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H84. zenon_intro zenon_H90.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H82. zenon_intro zenon_H83.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H131 | zenon_intro zenon_H145 ].
% 1.16/1.36 apply (zenon_L439_); trivial.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H93 | zenon_intro zenon_H6 ].
% 1.16/1.36 apply (zenon_L291_); trivial.
% 1.16/1.36 exact (zenon_H5 zenon_H6).
% 1.16/1.36 (* end of lemma zenon_L483_ *)
% 1.16/1.36 assert (zenon_L484_ : ((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (~(hskp21)) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (~(hskp16)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> False).
% 1.16/1.36 do 0 intro. intros zenon_Hea zenon_Ha2 zenon_H9d zenon_H49 zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_H223 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H241 zenon_H9 zenon_H227 zenon_H226 zenon_H225 zenon_H5 zenon_H144 zenon_H92.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.16/1.36 apply (zenon_L449_); trivial.
% 1.16/1.36 apply (zenon_L483_); trivial.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.16/1.36 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.16/1.36 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.16/1.36 apply (zenon_L44_); trivial.
% 1.16/1.36 apply (zenon_L483_); trivial.
% 1.16/1.36 (* end of lemma zenon_L484_ *)
% 1.16/1.36 assert (zenon_L485_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (~(hskp21)) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (~(hskp16)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> (~(hskp10)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> False).
% 1.16/1.36 do 0 intro. intros zenon_Hef zenon_Ha2 zenon_H9d zenon_H49 zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_H223 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H241 zenon_H9 zenon_H227 zenon_H226 zenon_H225 zenon_H5 zenon_H144 zenon_H92 zenon_Hcb zenon_Hbc zenon_Hbd zenon_Hbe zenon_Hd6 zenon_Hd9 zenon_Hdd.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.16/1.37 apply (zenon_L62_); trivial.
% 1.16/1.37 apply (zenon_L484_); trivial.
% 1.16/1.37 (* end of lemma zenon_L485_ *)
% 1.16/1.37 assert (zenon_L486_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> ((hskp23)\/(hskp27)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp16)) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.16/1.37 do 0 intro. intros zenon_H54 zenon_H51 zenon_H3e zenon_H4b zenon_H1f zenon_H21 zenon_Hc5 zenon_Hdd zenon_Hd9 zenon_Hd6 zenon_Hbe zenon_Hbd zenon_Hbc zenon_Hcb zenon_H92 zenon_H144 zenon_H5 zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H223 zenon_H27a zenon_H263 zenon_H262 zenon_H261 zenon_H49 zenon_H9d zenon_Ha2 zenon_Hef.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.16/1.37 apply (zenon_L485_); trivial.
% 1.16/1.37 apply (zenon_L54_); trivial.
% 1.16/1.37 (* end of lemma zenon_L486_ *)
% 1.16/1.37 assert (zenon_L487_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> (~(hskp10)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> False).
% 1.16/1.37 do 0 intro. intros zenon_Hfe zenon_Hb9 zenon_H1e7 zenon_H75 zenon_H142 zenon_H157 zenon_H152 zenon_H163 zenon_H174 zenon_H177 zenon_Hef zenon_Ha2 zenon_H9d zenon_H49 zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_H223 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H241 zenon_H227 zenon_H226 zenon_H225 zenon_H144 zenon_H92 zenon_Hcb zenon_Hbc zenon_Hbd zenon_Hbe zenon_Hd6 zenon_Hd9 zenon_Hdd zenon_Hc5 zenon_H21 zenon_H1f zenon_H4b zenon_H3e zenon_H51 zenon_H54.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.16/1.37 apply (zenon_L486_); trivial.
% 1.16/1.37 apply (zenon_L330_); trivial.
% 1.16/1.37 (* end of lemma zenon_L487_ *)
% 1.16/1.37 assert (zenon_L488_ : ((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp1)) -> ((hskp21)\/((hskp18)\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((hskp23)\/(hskp27)) -> (~(hskp10)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.16/1.37 do 0 intro. intros zenon_H1b8 zenon_H101 zenon_Hb9 zenon_H1e7 zenon_H75 zenon_H142 zenon_H157 zenon_H152 zenon_H163 zenon_H174 zenon_H177 zenon_Ha2 zenon_H9d zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_H223 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H241 zenon_H227 zenon_H226 zenon_H225 zenon_H144 zenon_H92 zenon_H54 zenon_H51 zenon_H3e zenon_H4b zenon_H1f zenon_H21 zenon_H49 zenon_Hc5 zenon_Hd zenon_Hf zenon_Hef zenon_Heb zenon_Hcb zenon_Hd6 zenon_Hd9 zenon_Hdd zenon_Hae zenon_Hb3 zenon_Hba.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.16/1.37 apply (zenon_L68_); trivial.
% 1.16/1.37 apply (zenon_L487_); trivial.
% 1.16/1.37 (* end of lemma zenon_L488_ *)
% 1.16/1.37 assert (zenon_L489_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (~(hskp21)) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (~(hskp16)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((hskp23)\/(hskp27)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> False).
% 1.16/1.37 do 0 intro. intros zenon_Hef zenon_H27a zenon_H241 zenon_H9 zenon_H227 zenon_H226 zenon_H225 zenon_H5 zenon_H144 zenon_H92 zenon_H261 zenon_H262 zenon_H263 zenon_H223 zenon_Hcb zenon_H7f zenon_H1fc zenon_H1fb zenon_H1fa zenon_H146 zenon_H148 zenon_Hdd zenon_H9d zenon_H49 zenon_Ha2.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.16/1.37 apply (zenon_L442_); trivial.
% 1.16/1.37 apply (zenon_L484_); trivial.
% 1.16/1.37 (* end of lemma zenon_L489_ *)
% 1.16/1.37 assert (zenon_L490_ : ((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (~(hskp19)) -> (~(c1_1 (a2553))) -> (c0_1 (a2553)) -> (~(c3_1 (a2553))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> (~(hskp16)) -> False).
% 1.16/1.37 do 0 intro. intros zenon_H8d zenon_H144 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H261 zenon_H262 zenon_H263 zenon_H223 zenon_H3 zenon_Hdf zenon_He1 zenon_He0 zenon_H1e9 zenon_H5.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H12. zenon_intro zenon_H8f.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H84. zenon_intro zenon_H90.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H82. zenon_intro zenon_H83.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H131 | zenon_intro zenon_H145 ].
% 1.16/1.37 apply (zenon_L439_); trivial.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H93 | zenon_intro zenon_H6 ].
% 1.16/1.37 apply (zenon_L192_); trivial.
% 1.16/1.37 exact (zenon_H5 zenon_H6).
% 1.16/1.37 (* end of lemma zenon_L490_ *)
% 1.16/1.37 assert (zenon_L491_ : ((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (c1_1 (a2551)) -> (c0_1 (a2551)) -> (~(c2_1 (a2551))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> (~(hskp16)) -> (~(hskp19)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> False).
% 1.16/1.37 do 0 intro. intros zenon_Hea zenon_Ha2 zenon_H49 zenon_H9d zenon_H7f zenon_H16 zenon_H15 zenon_H14 zenon_H223 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H263 zenon_H262 zenon_H261 zenon_H1e9 zenon_H5 zenon_H3 zenon_H144 zenon_H92.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.16/1.37 apply (zenon_L38_); trivial.
% 1.16/1.37 apply (zenon_L490_); trivial.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.16/1.37 apply (zenon_L44_); trivial.
% 1.16/1.37 apply (zenon_L490_); trivial.
% 1.16/1.37 (* end of lemma zenon_L491_ *)
% 1.16/1.37 assert (zenon_L492_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> (~(hskp19)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp23)\/(hskp27)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp16)) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.16/1.37 do 0 intro. intros zenon_H54 zenon_H1e9 zenon_H3 zenon_Ha2 zenon_H49 zenon_H9d zenon_Hdd zenon_H148 zenon_H146 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H7f zenon_Hcb zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H92 zenon_H144 zenon_H5 zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_H27a zenon_Hef.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.16/1.37 apply (zenon_L489_); trivial.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.16/1.37 apply (zenon_L442_); trivial.
% 1.16/1.37 apply (zenon_L491_); trivial.
% 1.16/1.37 (* end of lemma zenon_L492_ *)
% 1.16/1.37 assert (zenon_L493_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp23)\/(hskp27)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp16)) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((hskp21)\/((hskp18)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.16/1.37 do 0 intro. intros zenon_Hba zenon_Hb3 zenon_Hae zenon_He8 zenon_Heb zenon_H54 zenon_H1e9 zenon_Ha2 zenon_H49 zenon_H9d zenon_Hdd zenon_H148 zenon_H146 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H7f zenon_Hcb zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H92 zenon_H144 zenon_H5 zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_H27a zenon_Hef zenon_Hf zenon_Hd zenon_H3e zenon_H3a zenon_H1f zenon_H21 zenon_H4b zenon_H51 zenon_H74.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.16/1.37 apply (zenon_L492_); trivial.
% 1.16/1.37 apply (zenon_L31_); trivial.
% 1.16/1.37 apply (zenon_L444_); trivial.
% 1.16/1.37 (* end of lemma zenon_L493_ *)
% 1.16/1.37 assert (zenon_L494_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (ndr1_0) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> False).
% 1.16/1.37 do 0 intro. intros zenon_H54 zenon_Ha2 zenon_H92 zenon_H1b3 zenon_H223 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H105 zenon_H103 zenon_H10d zenon_H146 zenon_H148 zenon_H49 zenon_H9d zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_H12 zenon_H66 zenon_H67 zenon_H68 zenon_H225 zenon_H226 zenon_H227 zenon_H241.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.16/1.37 apply (zenon_L295_); trivial.
% 1.16/1.37 apply (zenon_L456_); trivial.
% 1.16/1.37 (* end of lemma zenon_L494_ *)
% 1.16/1.37 assert (zenon_L495_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp14)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> False).
% 1.16/1.37 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_H11d zenon_H11b zenon_He8 zenon_H218 zenon_H241 zenon_H227 zenon_H226 zenon_H225 zenon_H27a zenon_H263 zenon_H262 zenon_H261 zenon_H9d zenon_H49 zenon_H148 zenon_H10d zenon_H103 zenon_H105 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H223 zenon_H1b3 zenon_H92 zenon_Ha2 zenon_H54.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.16/1.37 apply (zenon_L494_); trivial.
% 1.16/1.37 apply (zenon_L235_); trivial.
% 1.16/1.37 (* end of lemma zenon_L495_ *)
% 1.16/1.37 assert (zenon_L496_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> (~(c1_1 (a2528))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp23)\/(hskp27)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((hskp21)\/((hskp18)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.16/1.37 do 0 intro. intros zenon_Hb9 zenon_H10d zenon_H1b3 zenon_Hba zenon_Hb3 zenon_Hae zenon_He8 zenon_Heb zenon_H54 zenon_H1e9 zenon_Ha2 zenon_H49 zenon_H9d zenon_Hdd zenon_H148 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H7f zenon_Hcb zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H92 zenon_H144 zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_H27a zenon_Hef zenon_Hf zenon_Hd zenon_H3e zenon_H3a zenon_H1f zenon_H21 zenon_H4b zenon_H51 zenon_H74 zenon_H218 zenon_H105 zenon_H103 zenon_H11b zenon_H11d zenon_H190.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.16/1.37 apply (zenon_L493_); trivial.
% 1.16/1.37 apply (zenon_L235_); trivial.
% 1.16/1.37 apply (zenon_L495_); trivial.
% 1.16/1.37 (* end of lemma zenon_L496_ *)
% 1.16/1.37 assert (zenon_L497_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> (~(hskp1)) -> ((hskp21)\/((hskp18)\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (~(hskp16)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((hskp23)\/(hskp27)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> (~(hskp14)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.16/1.37 do 0 intro. intros zenon_H190 zenon_H177 zenon_H230 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H74 zenon_H51 zenon_H4b zenon_H21 zenon_H1f zenon_H3a zenon_H3e zenon_Hd zenon_Hf zenon_Hef zenon_H27a zenon_H241 zenon_H227 zenon_H226 zenon_H225 zenon_H5 zenon_H144 zenon_H92 zenon_H261 zenon_H262 zenon_H263 zenon_H223 zenon_Hcb zenon_H7f zenon_H1fc zenon_H1fb zenon_H1fa zenon_H148 zenon_Hdd zenon_H9d zenon_H49 zenon_Ha2 zenon_H1e9 zenon_H54 zenon_Heb zenon_He8 zenon_Hae zenon_Hb3 zenon_Hba.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.16/1.37 apply (zenon_L493_); trivial.
% 1.16/1.37 apply (zenon_L343_); trivial.
% 1.16/1.37 (* end of lemma zenon_L497_ *)
% 1.16/1.37 assert (zenon_L498_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> False).
% 1.16/1.37 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_H177 zenon_H230 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H241 zenon_H227 zenon_H226 zenon_H225 zenon_H27a zenon_H263 zenon_H262 zenon_H261 zenon_H9d zenon_H49 zenon_H148 zenon_H10d zenon_H103 zenon_H105 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H223 zenon_H1b3 zenon_H92 zenon_Ha2 zenon_H54.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.16/1.37 apply (zenon_L494_); trivial.
% 1.16/1.37 apply (zenon_L343_); trivial.
% 1.16/1.37 (* end of lemma zenon_L498_ *)
% 1.16/1.37 assert (zenon_L499_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp23)\/(hskp27)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((hskp21)\/((hskp18)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.16/1.37 do 0 intro. intros zenon_Hb9 zenon_H10d zenon_H103 zenon_H105 zenon_H1b3 zenon_Hba zenon_Hb3 zenon_Hae zenon_He8 zenon_Heb zenon_H54 zenon_H1e9 zenon_Ha2 zenon_H49 zenon_H9d zenon_Hdd zenon_H148 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H7f zenon_Hcb zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H92 zenon_H144 zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_H27a zenon_Hef zenon_Hf zenon_Hd zenon_H3e zenon_H3a zenon_H1f zenon_H21 zenon_H4b zenon_H51 zenon_H74 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H230 zenon_H177 zenon_H190.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.16/1.37 apply (zenon_L497_); trivial.
% 1.16/1.37 apply (zenon_L498_); trivial.
% 1.16/1.37 (* end of lemma zenon_L499_ *)
% 1.16/1.37 assert (zenon_L500_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp23)\/(hskp27)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (c3_1 (a2528)) -> (~(c1_1 (a2528))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp13)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.16/1.37 do 0 intro. intros zenon_Hfe zenon_H190 zenon_H230 zenon_H227 zenon_H226 zenon_H225 zenon_Ha2 zenon_H1e7 zenon_H75 zenon_Hdd zenon_H148 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H7f zenon_Hcb zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H105 zenon_H10d zenon_H223 zenon_H4b zenon_H49 zenon_H8b zenon_H8e zenon_H177 zenon_H92 zenon_H142 zenon_Hef.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.16/1.37 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.16/1.37 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.16/1.37 apply (zenon_L341_); trivial.
% 1.16/1.37 apply (zenon_L205_); trivial.
% 1.16/1.37 apply (zenon_L188_); trivial.
% 1.16/1.37 apply (zenon_L343_); trivial.
% 1.16/1.37 (* end of lemma zenon_L500_ *)
% 1.16/1.37 assert (zenon_L501_ : ((ndr1_0)/\((c3_1 (a2528))/\((~(c0_1 (a2528)))/\(~(c1_1 (a2528)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534))))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp23)\/(hskp27)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((hskp21)\/((hskp18)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> False).
% 1.16/1.37 do 0 intro. intros zenon_H1d1 zenon_H12e zenon_H1d5 zenon_H1a2 zenon_Hc5 zenon_H216 zenon_H1b7 zenon_H1bc zenon_H230 zenon_H177 zenon_H142 zenon_H8e zenon_Hb9 zenon_H1b3 zenon_Hba zenon_Hb3 zenon_Hae zenon_Heb zenon_H54 zenon_H1e9 zenon_Ha2 zenon_H49 zenon_H9d zenon_Hdd zenon_H148 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H7f zenon_Hcb zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H92 zenon_H144 zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_H27a zenon_Hef zenon_Hf zenon_Hd zenon_H3e zenon_H3a zenon_H1f zenon_H21 zenon_H4b zenon_H51 zenon_H74 zenon_H218 zenon_H11d zenon_H190 zenon_H1e7 zenon_H75 zenon_Hfc zenon_H101.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.16/1.37 apply (zenon_L496_); trivial.
% 1.16/1.37 apply (zenon_L446_); trivial.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.16/1.37 apply (zenon_L499_); trivial.
% 1.16/1.37 apply (zenon_L500_); trivial.
% 1.16/1.37 apply (zenon_L351_); trivial.
% 1.16/1.37 (* end of lemma zenon_L501_ *)
% 1.16/1.37 assert (zenon_L502_ : ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> (~(c2_1 (a2524))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31)))))) -> (ndr1_0) -> (~(hskp10)) -> False).
% 1.16/1.37 do 0 intro. intros zenon_H157 zenon_H68 zenon_H67 zenon_H66 zenon_H1fb zenon_H1fc zenon_H1fa zenon_H102 zenon_H12 zenon_Hd6.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H65 | zenon_intro zenon_H158 ].
% 1.16/1.37 apply (zenon_L29_); trivial.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H14a | zenon_intro zenon_Hd7 ].
% 1.16/1.37 apply (zenon_L229_); trivial.
% 1.16/1.37 exact (zenon_Hd6 zenon_Hd7).
% 1.16/1.37 (* end of lemma zenon_L502_ *)
% 1.16/1.37 assert (zenon_L503_ : ((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> False).
% 1.16/1.37 do 0 intro. intros zenon_H50 zenon_Ha2 zenon_H177 zenon_H1f3 zenon_H1fb zenon_H1fc zenon_H1fa zenon_H148 zenon_H146 zenon_H134 zenon_H133 zenon_H132 zenon_H1b3 zenon_H152 zenon_Hd6 zenon_H157 zenon_H261 zenon_H262 zenon_H263 zenon_H66 zenon_H67 zenon_H68 zenon_H27a.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.16/1.37 apply (zenon_L437_); trivial.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.16/1.37 apply (zenon_L105_); trivial.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H1f4 ].
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H102 | zenon_intro zenon_H1b6 ].
% 1.16/1.37 apply (zenon_L502_); trivial.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H93 | zenon_intro zenon_H14a ].
% 1.16/1.37 apply (zenon_L426_); trivial.
% 1.16/1.37 apply (zenon_L353_); trivial.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H55 | zenon_intro zenon_H93 ].
% 1.16/1.37 apply (zenon_L114_); trivial.
% 1.16/1.37 apply (zenon_L43_); trivial.
% 1.16/1.37 (* end of lemma zenon_L503_ *)
% 1.16/1.37 assert (zenon_L504_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (ndr1_0) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> False).
% 1.16/1.37 do 0 intro. intros zenon_H54 zenon_Ha2 zenon_H177 zenon_H1f3 zenon_H1fb zenon_H1fc zenon_H1fa zenon_H148 zenon_H146 zenon_H134 zenon_H133 zenon_H132 zenon_H1b3 zenon_H152 zenon_Hd6 zenon_H157 zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_H12 zenon_H66 zenon_H67 zenon_H68 zenon_H225 zenon_H226 zenon_H227 zenon_H241.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.16/1.37 apply (zenon_L295_); trivial.
% 1.16/1.37 apply (zenon_L503_); trivial.
% 1.16/1.37 (* end of lemma zenon_L504_ *)
% 1.16/1.37 assert (zenon_L505_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c2_1 (a2524))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> False).
% 1.16/1.37 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_Hef zenon_H189 zenon_H163 zenon_H174 zenon_H241 zenon_H227 zenon_H226 zenon_H225 zenon_H27a zenon_H263 zenon_H262 zenon_H261 zenon_H157 zenon_Hd6 zenon_H152 zenon_H1b3 zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_H1fa zenon_H1fc zenon_H1fb zenon_H1f3 zenon_H177 zenon_Ha2 zenon_H54.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.16/1.37 apply (zenon_L504_); trivial.
% 1.16/1.37 apply (zenon_L480_); trivial.
% 1.16/1.37 (* end of lemma zenon_L505_ *)
% 1.16/1.37 assert (zenon_L506_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> (~(hskp10)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.16/1.37 do 0 intro. intros zenon_H190 zenon_H18b zenon_Hbc zenon_Hbd zenon_Hbe zenon_Hd6 zenon_Hd9 zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H144 zenon_H5 zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_Ha2 zenon_Hef.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.16/1.37 apply (zenon_L474_); trivial.
% 1.16/1.37 apply (zenon_L294_); trivial.
% 1.16/1.37 (* end of lemma zenon_L506_ *)
% 1.16/1.37 assert (zenon_L507_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534))))))) -> ((hskp23)\/(hskp27)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (~(hskp3)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (ndr1_0) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> False).
% 1.16/1.37 do 0 intro. intros zenon_H1d5 zenon_Hcb zenon_Hdd zenon_Hd9 zenon_H18b zenon_Hba zenon_Ha2 zenon_H134 zenon_H133 zenon_H132 zenon_H144 zenon_H261 zenon_H262 zenon_H49 zenon_Hae zenon_H7f zenon_H8e zenon_H92 zenon_H152 zenon_Hd6 zenon_H227 zenon_H226 zenon_H225 zenon_H12 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H177 zenon_H54 zenon_H1f3 zenon_H148 zenon_H1b3 zenon_H157 zenon_H263 zenon_H27a zenon_H241 zenon_H174 zenon_H163 zenon_H189 zenon_Hef zenon_H190 zenon_Hb9.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.16/1.37 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.16/1.37 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.16/1.37 apply (zenon_L324_); trivial.
% 1.16/1.37 apply (zenon_L476_); trivial.
% 1.16/1.37 apply (zenon_L505_); trivial.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.16/1.37 apply (zenon_L506_); trivial.
% 1.16/1.37 apply (zenon_L505_); trivial.
% 1.16/1.37 (* end of lemma zenon_L507_ *)
% 1.16/1.37 assert (zenon_L508_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a2528))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> (~(c2_1 (a2524))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.16/1.37 do 0 intro. intros zenon_Hb9 zenon_H241 zenon_H227 zenon_H226 zenon_H225 zenon_H9d zenon_H49 zenon_H10d zenon_H223 zenon_H1b3 zenon_H92 zenon_H54 zenon_Hef zenon_Ha2 zenon_H27a zenon_H263 zenon_H262 zenon_H261 zenon_H144 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_Hdd zenon_H218 zenon_He8 zenon_H1fb zenon_H1fc zenon_H1fa zenon_H105 zenon_H103 zenon_H11b zenon_H11d zenon_H190.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.16/1.37 apply (zenon_L474_); trivial.
% 1.16/1.37 apply (zenon_L235_); trivial.
% 1.16/1.37 apply (zenon_L495_); trivial.
% 1.16/1.37 (* end of lemma zenon_L508_ *)
% 1.16/1.37 assert (zenon_L509_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.16/1.37 do 0 intro. intros zenon_H190 zenon_H177 zenon_H230 zenon_H227 zenon_H226 zenon_H225 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H144 zenon_H5 zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_Ha2 zenon_Hef.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.16/1.37 apply (zenon_L474_); trivial.
% 1.16/1.37 apply (zenon_L343_); trivial.
% 1.16/1.37 (* end of lemma zenon_L509_ *)
% 1.16/1.37 assert (zenon_L510_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2524)) -> (~(c2_1 (a2524))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (ndr1_0) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> False).
% 1.16/1.37 do 0 intro. intros zenon_H54 zenon_Ha2 zenon_H1b3 zenon_H132 zenon_H133 zenon_H134 zenon_H223 zenon_H1fc zenon_H1fa zenon_H105 zenon_H103 zenon_H10d zenon_H146 zenon_H148 zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_H12 zenon_H66 zenon_H67 zenon_H68 zenon_H225 zenon_H226 zenon_H227 zenon_H241.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.16/1.37 apply (zenon_L295_); trivial.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.16/1.37 apply (zenon_L437_); trivial.
% 1.16/1.37 apply (zenon_L377_); trivial.
% 1.16/1.37 (* end of lemma zenon_L510_ *)
% 1.16/1.37 assert (zenon_L511_ : ((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c2_1 (a2524))) -> (c3_1 (a2524)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.16/1.37 do 0 intro. intros zenon_H12b zenon_Hb9 zenon_H241 zenon_H10d zenon_H103 zenon_H105 zenon_H1fa zenon_H1fc zenon_H223 zenon_H1b3 zenon_H54 zenon_Hef zenon_Ha2 zenon_H27a zenon_H263 zenon_H262 zenon_H261 zenon_H144 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_Hdd zenon_H1bc zenon_H225 zenon_H226 zenon_H227 zenon_H230 zenon_H177 zenon_H190.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.16/1.37 apply (zenon_L509_); trivial.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.16/1.37 apply (zenon_L510_); trivial.
% 1.16/1.37 apply (zenon_L343_); trivial.
% 1.16/1.37 (* end of lemma zenon_L511_ *)
% 1.16/1.37 assert (zenon_L512_ : ((~(hskp6))\/((ndr1_0)/\((c0_1 (a2523))/\((c1_1 (a2523))/\(~(c3_1 (a2523))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a2525))/\((c2_1 (a2525))/\(~(c3_1 (a2525))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((hskp23)\/(hskp27)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> (ndr1_0) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a2528))/\((~(c0_1 (a2528)))/\(~(c1_1 (a2528))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((hskp6)\/((hskp19)\/(hskp16))) -> ((hskp21)\/((hskp18)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp9))\/((ndr1_0)/\((c1_1 (a2526))/\((c3_1 (a2526))/\(~(c0_1 (a2526))))))) -> ((~(hskp7))\/((ndr1_0)/\((c1_1 (a2524))/\((c3_1 (a2524))/\(~(c2_1 (a2524))))))) -> False).
% 1.16/1.37 do 0 intro. intros zenon_H27b zenon_Hd9 zenon_H241 zenon_H1e9 zenon_H230 zenon_H216 zenon_H25a zenon_H101 zenon_H142 zenon_H75 zenon_H1e7 zenon_Hef zenon_Heb zenon_H1e0 zenon_Hcb zenon_H12f zenon_Hdd zenon_H92 zenon_H1ea zenon_H1e5 zenon_Hb3 zenon_H12 zenon_H261 zenon_H262 zenon_H263 zenon_H116 zenon_H1d4 zenon_H12e zenon_H20d zenon_H1bc zenon_H1b3 zenon_H218 zenon_H11d zenon_Hfc zenon_Hba zenon_H8e zenon_H1b7 zenon_H223 zenon_H1a2 zenon_H203 zenon_H7f zenon_Hae zenon_H144 zenon_H9d zenon_Ha2 zenon_H7 zenon_Hf zenon_Hd zenon_H3e zenon_H3a zenon_H21 zenon_H49 zenon_H4b zenon_H51 zenon_H54 zenon_H74 zenon_H148 zenon_H27a zenon_H157 zenon_H152 zenon_H177 zenon_H189 zenon_H163 zenon_H174 zenon_H18b zenon_H190 zenon_Hb9 zenon_Hc5 zenon_H1d5 zenon_H1f3 zenon_H1f5 zenon_H259.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H1 | zenon_intro zenon_H27c ].
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H114 | zenon_intro zenon_H25b ].
% 1.16/1.37 apply (zenon_L424_); trivial.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H12. zenon_intro zenon_H25f.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H1fb. zenon_intro zenon_H260.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H1fc. zenon_intro zenon_H1fa.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.16/1.37 apply (zenon_L447_); trivial.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.16/1.37 apply (zenon_L459_); trivial.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.16/1.37 apply (zenon_L463_); trivial.
% 1.16/1.37 apply (zenon_L446_); trivial.
% 1.16/1.37 apply (zenon_L218_); trivial.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.16/1.37 apply (zenon_L471_); trivial.
% 1.16/1.37 apply (zenon_L446_); trivial.
% 1.16/1.37 apply (zenon_L218_); trivial.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.16/1.37 apply (zenon_L472_); trivial.
% 1.16/1.37 apply (zenon_L446_); trivial.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.16/1.37 apply (zenon_L479_); trivial.
% 1.16/1.37 apply (zenon_L446_); trivial.
% 1.16/1.37 apply (zenon_L218_); trivial.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H12. zenon_intro zenon_H27d.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H27d). zenon_intro zenon_H226. zenon_intro zenon_H27e.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H27e). zenon_intro zenon_H227. zenon_intro zenon_H225.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H114 | zenon_intro zenon_H25b ].
% 1.16/1.37 apply (zenon_L424_); trivial.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H12. zenon_intro zenon_H25f.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H1fb. zenon_intro zenon_H260.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H1fc. zenon_intro zenon_H1fa.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.16/1.37 apply (zenon_L482_); trivial.
% 1.16/1.37 apply (zenon_L446_); trivial.
% 1.16/1.37 apply (zenon_L488_); trivial.
% 1.16/1.37 apply (zenon_L501_); trivial.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.16/1.37 apply (zenon_L507_); trivial.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.16/1.37 apply (zenon_L508_); trivial.
% 1.16/1.37 apply (zenon_L446_); trivial.
% 1.16/1.37 apply (zenon_L511_); trivial.
% 1.16/1.37 (* end of lemma zenon_L512_ *)
% 1.16/1.37 assert (zenon_L513_ : (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22))))) -> (ndr1_0) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> False).
% 1.16/1.37 do 0 intro. intros zenon_H27f zenon_H12 zenon_H280 zenon_H281 zenon_H282.
% 1.16/1.37 generalize (zenon_H27f (a2519)). zenon_intro zenon_H283.
% 1.16/1.37 apply (zenon_imply_s _ _ zenon_H283); [ zenon_intro zenon_H11 | zenon_intro zenon_H284 ].
% 1.16/1.37 exact (zenon_H11 zenon_H12).
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H286 | zenon_intro zenon_H285 ].
% 1.16/1.37 exact (zenon_H280 zenon_H286).
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H288 | zenon_intro zenon_H287 ].
% 1.16/1.37 exact (zenon_H281 zenon_H288).
% 1.16/1.37 exact (zenon_H282 zenon_H287).
% 1.16/1.37 (* end of lemma zenon_L513_ *)
% 1.16/1.37 assert (zenon_L514_ : ((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (~(hskp9)) -> False).
% 1.16/1.37 do 0 intro. intros zenon_Hd8 zenon_H289 zenon_H282 zenon_H281 zenon_H280 zenon_H1f.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H12. zenon_intro zenon_Hda.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_Hcf. zenon_intro zenon_Hdb.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hcd. zenon_intro zenon_Hce.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H27f | zenon_intro zenon_H28a ].
% 1.16/1.37 apply (zenon_L513_); trivial.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_Hcc | zenon_intro zenon_H20 ].
% 1.16/1.37 apply (zenon_L59_); trivial.
% 1.16/1.37 exact (zenon_H1f zenon_H20).
% 1.16/1.37 (* end of lemma zenon_L514_ *)
% 1.16/1.37 assert (zenon_L515_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (~(hskp23)) -> ((hskp23)\/(hskp27)) -> False).
% 1.16/1.37 do 0 intro. intros zenon_Hdd zenon_H289 zenon_H1f zenon_H282 zenon_H281 zenon_H280 zenon_Hc7 zenon_Hcb.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hd8 ].
% 1.16/1.37 apply (zenon_L58_); trivial.
% 1.16/1.37 apply (zenon_L514_); trivial.
% 1.16/1.37 (* end of lemma zenon_L515_ *)
% 1.16/1.37 assert (zenon_L516_ : (forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25)))))) -> (ndr1_0) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (c1_1 (a2519)) -> False).
% 1.16/1.37 do 0 intro. intros zenon_Hcc zenon_H12 zenon_H281 zenon_H282 zenon_H28b.
% 1.16/1.37 generalize (zenon_Hcc (a2519)). zenon_intro zenon_H28c.
% 1.16/1.37 apply (zenon_imply_s _ _ zenon_H28c); [ zenon_intro zenon_H11 | zenon_intro zenon_H28d ].
% 1.16/1.37 exact (zenon_H11 zenon_H12).
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H288 | zenon_intro zenon_H28e ].
% 1.16/1.37 exact (zenon_H281 zenon_H288).
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H287 | zenon_intro zenon_H28f ].
% 1.16/1.37 exact (zenon_H282 zenon_H287).
% 1.16/1.37 exact (zenon_H28f zenon_H28b).
% 1.16/1.37 (* end of lemma zenon_L516_ *)
% 1.16/1.37 assert (zenon_L517_ : (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W))))) -> (ndr1_0) -> (~(c0_1 (a2519))) -> (forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25)))))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> False).
% 1.16/1.37 do 0 intro. intros zenon_Hf2 zenon_H12 zenon_H280 zenon_Hcc zenon_H281 zenon_H282.
% 1.16/1.37 generalize (zenon_Hf2 (a2519)). zenon_intro zenon_H290.
% 1.16/1.37 apply (zenon_imply_s _ _ zenon_H290); [ zenon_intro zenon_H11 | zenon_intro zenon_H291 ].
% 1.16/1.37 exact (zenon_H11 zenon_H12).
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H286 | zenon_intro zenon_H292 ].
% 1.16/1.37 exact (zenon_H280 zenon_H286).
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H28b | zenon_intro zenon_H287 ].
% 1.16/1.37 apply (zenon_L516_); trivial.
% 1.16/1.37 exact (zenon_H282 zenon_H287).
% 1.16/1.37 (* end of lemma zenon_L517_ *)
% 1.16/1.37 assert (zenon_L518_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W))))) -> (~(hskp9)) -> False).
% 1.16/1.37 do 0 intro. intros zenon_H289 zenon_H282 zenon_H281 zenon_H280 zenon_H12 zenon_Hf2 zenon_H1f.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H27f | zenon_intro zenon_H28a ].
% 1.16/1.37 apply (zenon_L513_); trivial.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_Hcc | zenon_intro zenon_H20 ].
% 1.16/1.37 apply (zenon_L517_); trivial.
% 1.16/1.37 exact (zenon_H1f zenon_H20).
% 1.16/1.37 (* end of lemma zenon_L518_ *)
% 1.16/1.37 assert (zenon_L519_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp9)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> False).
% 1.16/1.37 do 0 intro. intros zenon_Hef zenon_H1e7 zenon_H75 zenon_H142 zenon_Hcb zenon_H280 zenon_H281 zenon_H282 zenon_H1f zenon_H289 zenon_Hdd.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.16/1.37 apply (zenon_L515_); trivial.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H1e8 ].
% 1.16/1.37 apply (zenon_L518_); trivial.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H93 | zenon_intro zenon_H76 ].
% 1.16/1.37 apply (zenon_L95_); trivial.
% 1.16/1.37 exact (zenon_H75 zenon_H76).
% 1.16/1.37 (* end of lemma zenon_L519_ *)
% 1.16/1.37 assert (zenon_L520_ : ((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (~(hskp1)) -> False).
% 1.16/1.37 do 0 intro. intros zenon_Hd8 zenon_H293 zenon_H282 zenon_H281 zenon_H280 zenon_Hd.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H12. zenon_intro zenon_Hda.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_Hcf. zenon_intro zenon_Hdb.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hcd. zenon_intro zenon_Hce.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H27f | zenon_intro zenon_H294 ].
% 1.16/1.37 apply (zenon_L513_); trivial.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_Hcc | zenon_intro zenon_He ].
% 1.16/1.37 apply (zenon_L59_); trivial.
% 1.16/1.37 exact (zenon_Hd zenon_He).
% 1.16/1.37 (* end of lemma zenon_L520_ *)
% 1.16/1.37 assert (zenon_L521_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (~(hskp23)) -> ((hskp23)\/(hskp27)) -> False).
% 1.16/1.37 do 0 intro. intros zenon_Hdd zenon_H293 zenon_Hd zenon_H282 zenon_H281 zenon_H280 zenon_Hc7 zenon_Hcb.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hd8 ].
% 1.16/1.37 apply (zenon_L58_); trivial.
% 1.16/1.37 apply (zenon_L520_); trivial.
% 1.16/1.37 (* end of lemma zenon_L521_ *)
% 1.16/1.37 assert (zenon_L522_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W))))) -> (~(hskp1)) -> False).
% 1.16/1.37 do 0 intro. intros zenon_H293 zenon_H282 zenon_H281 zenon_H280 zenon_H12 zenon_Hf2 zenon_Hd.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H27f | zenon_intro zenon_H294 ].
% 1.16/1.37 apply (zenon_L513_); trivial.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_Hcc | zenon_intro zenon_He ].
% 1.16/1.37 apply (zenon_L517_); trivial.
% 1.16/1.37 exact (zenon_Hd zenon_He).
% 1.16/1.37 (* end of lemma zenon_L522_ *)
% 1.16/1.37 assert (zenon_L523_ : ((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> (~(hskp1)) -> False).
% 1.16/1.37 do 0 intro. intros zenon_Had zenon_Hfc zenon_H280 zenon_H281 zenon_H282 zenon_H293 zenon_Hd.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hfd ].
% 1.16/1.37 apply (zenon_L522_); trivial.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Ha3 | zenon_intro zenon_He ].
% 1.16/1.37 apply (zenon_L47_); trivial.
% 1.16/1.37 exact (zenon_Hd zenon_He).
% 1.16/1.37 (* end of lemma zenon_L523_ *)
% 1.16/1.37 assert (zenon_L524_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((hskp23)\/(hskp27)) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.16/1.37 do 0 intro. intros zenon_Hb3 zenon_Hfc zenon_Hdd zenon_H293 zenon_Hd zenon_H282 zenon_H281 zenon_H280 zenon_Hcb zenon_He8 zenon_Heb zenon_Hef.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.16/1.37 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.16/1.37 apply (zenon_L521_); trivial.
% 1.16/1.37 apply (zenon_L65_); trivial.
% 1.16/1.37 apply (zenon_L523_); trivial.
% 1.16/1.37 (* end of lemma zenon_L524_ *)
% 1.16/1.37 assert (zenon_L525_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (~(hskp16)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> False).
% 1.16/1.37 do 0 intro. intros zenon_H18d zenon_Hef zenon_Ha2 zenon_H132 zenon_H133 zenon_H134 zenon_H18b zenon_H5 zenon_H144 zenon_Hcb zenon_H280 zenon_H281 zenon_H282 zenon_Hd zenon_H293 zenon_Hdd.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.16/1.37 apply (zenon_L521_); trivial.
% 1.16/1.37 apply (zenon_L200_); trivial.
% 1.16/1.37 (* end of lemma zenon_L525_ *)
% 1.16/1.37 assert (zenon_L526_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.16/1.37 do 0 intro. intros zenon_Hfe zenon_Hb9 zenon_Hef zenon_H1e7 zenon_H75 zenon_H142 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_Hdd zenon_H293 zenon_Hd zenon_H282 zenon_H281 zenon_H280 zenon_H144 zenon_H18b zenon_Ha2 zenon_H190.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.16/1.37 apply (zenon_L203_); trivial.
% 1.16/1.37 apply (zenon_L525_); trivial.
% 1.16/1.37 apply (zenon_L207_); trivial.
% 1.16/1.37 (* end of lemma zenon_L526_ *)
% 1.16/1.37 assert (zenon_L527_ : ((~(hskp9))\/((ndr1_0)/\((c1_1 (a2526))/\((c3_1 (a2526))/\(~(c0_1 (a2526))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((hskp23)\/(hskp27)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.16/1.37 do 0 intro. intros zenon_H1f5 zenon_H101 zenon_Hb9 zenon_H148 zenon_H144 zenon_H18b zenon_Ha2 zenon_H190 zenon_Heb zenon_Hd zenon_H293 zenon_Hfc zenon_Hb3 zenon_Hdd zenon_H289 zenon_H282 zenon_H281 zenon_H280 zenon_Hcb zenon_H142 zenon_H75 zenon_H1e7 zenon_Hef.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.16/1.37 apply (zenon_L519_); trivial.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.16/1.37 apply (zenon_L524_); trivial.
% 1.16/1.37 apply (zenon_L526_); trivial.
% 1.16/1.37 (* end of lemma zenon_L527_ *)
% 1.16/1.37 assert (zenon_L528_ : (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))) -> (ndr1_0) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> False).
% 1.16/1.37 do 0 intro. intros zenon_H295 zenon_H12 zenon_H296 zenon_H297 zenon_H298.
% 1.16/1.37 generalize (zenon_H295 (a2518)). zenon_intro zenon_H299.
% 1.16/1.37 apply (zenon_imply_s _ _ zenon_H299); [ zenon_intro zenon_H11 | zenon_intro zenon_H29a ].
% 1.16/1.37 exact (zenon_H11 zenon_H12).
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H29c | zenon_intro zenon_H29b ].
% 1.16/1.37 exact (zenon_H296 zenon_H29c).
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_H29e | zenon_intro zenon_H29d ].
% 1.16/1.37 exact (zenon_H297 zenon_H29e).
% 1.16/1.37 exact (zenon_H29d zenon_H298).
% 1.16/1.37 (* end of lemma zenon_L528_ *)
% 1.16/1.37 assert (zenon_L529_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((hskp13)\/(hskp4))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (ndr1_0) -> (~(hskp13)) -> (~(hskp4)) -> False).
% 1.16/1.37 do 0 intro. intros zenon_H29f zenon_H298 zenon_H297 zenon_H296 zenon_H12 zenon_H8b zenon_H5f.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H295 | zenon_intro zenon_H2a0 ].
% 1.16/1.37 apply (zenon_L528_); trivial.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H8c | zenon_intro zenon_H60 ].
% 1.16/1.37 exact (zenon_H8b zenon_H8c).
% 1.16/1.37 exact (zenon_H5f zenon_H60).
% 1.16/1.37 (* end of lemma zenon_L529_ *)
% 1.16/1.37 assert (zenon_L530_ : ((ndr1_0)/\((c3_1 (a2528))/\((~(c0_1 (a2528)))/\(~(c1_1 (a2528)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp9)\/(hskp4))) -> (~(hskp9)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> (~(hskp6)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> (~(hskp7)) -> (~(hskp8)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> False).
% 1.16/1.37 do 0 intro. intros zenon_H1d1 zenon_H12e zenon_Hb9 zenon_H6f zenon_H1f zenon_H7 zenon_H1 zenon_H5f zenon_H129 zenon_H74 zenon_H116 zenon_H114 zenon_H112 zenon_H11d.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.16/1.37 apply (zenon_L88_); trivial.
% 1.16/1.37 (* end of lemma zenon_L530_ *)
% 1.16/1.37 assert (zenon_L531_ : (~(hskp12)) -> (hskp12) -> False).
% 1.16/1.37 do 0 intro. intros zenon_H2a1 zenon_H2a2.
% 1.16/1.37 exact (zenon_H2a1 zenon_H2a2).
% 1.16/1.37 (* end of lemma zenon_L531_ *)
% 1.16/1.37 assert (zenon_L532_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp12))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (ndr1_0) -> (~(hskp12)) -> False).
% 1.16/1.37 do 0 intro. intros zenon_H2a3 zenon_H298 zenon_H297 zenon_H296 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H12 zenon_H2a1.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H295 | zenon_intro zenon_H2a4 ].
% 1.16/1.37 apply (zenon_L528_); trivial.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H2a2 ].
% 1.16/1.37 apply (zenon_L176_); trivial.
% 1.16/1.37 exact (zenon_H2a1 zenon_H2a2).
% 1.16/1.37 (* end of lemma zenon_L532_ *)
% 1.16/1.37 assert (zenon_L533_ : (forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63))))) -> (ndr1_0) -> (~(c1_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c3_1 (a2533))) -> False).
% 1.16/1.37 do 0 intro. intros zenon_H1c3 zenon_H12 zenon_H2a5 zenon_H2a6 zenon_H2a7.
% 1.16/1.37 generalize (zenon_H1c3 (a2533)). zenon_intro zenon_H2a8.
% 1.16/1.37 apply (zenon_imply_s _ _ zenon_H2a8); [ zenon_intro zenon_H11 | zenon_intro zenon_H2a9 ].
% 1.16/1.37 exact (zenon_H11 zenon_H12).
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H2ab | zenon_intro zenon_H2aa ].
% 1.16/1.37 exact (zenon_H2a5 zenon_H2ab).
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H2aa); [ zenon_intro zenon_H2ad | zenon_intro zenon_H2ac ].
% 1.16/1.37 exact (zenon_H2a6 zenon_H2ad).
% 1.16/1.37 exact (zenon_H2a7 zenon_H2ac).
% 1.16/1.37 (* end of lemma zenon_L533_ *)
% 1.16/1.37 assert (zenon_L534_ : ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c1_1 (a2533))) -> (ndr1_0) -> (~(hskp19)) -> (~(hskp20)) -> False).
% 1.16/1.37 do 0 intro. intros zenon_H1c7 zenon_H2a7 zenon_H2a6 zenon_H2a5 zenon_H12 zenon_H3 zenon_H77.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1c8 ].
% 1.16/1.37 apply (zenon_L533_); trivial.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H4 | zenon_intro zenon_H78 ].
% 1.16/1.37 exact (zenon_H3 zenon_H4).
% 1.16/1.37 exact (zenon_H77 zenon_H78).
% 1.16/1.37 (* end of lemma zenon_L534_ *)
% 1.16/1.37 assert (zenon_L535_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> (ndr1_0) -> (~(c1_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c3_1 (a2533))) -> (~(hskp19)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> False).
% 1.16/1.37 do 0 intro. intros zenon_Hb3 zenon_Hfc zenon_Hd zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H12 zenon_H2a5 zenon_H2a6 zenon_H2a7 zenon_H3 zenon_H1c7.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.16/1.37 apply (zenon_L534_); trivial.
% 1.16/1.37 apply (zenon_L72_); trivial.
% 1.16/1.37 (* end of lemma zenon_L535_ *)
% 1.16/1.37 assert (zenon_L536_ : ((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> (~(hskp6)) -> ((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/((hskp6)\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> False).
% 1.16/1.37 do 0 intro. intros zenon_H71 zenon_Hb3 zenon_H1ea zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_Hc5 zenon_H49 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H1 zenon_Hf0 zenon_H51.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.16/1.37 apply (zenon_L70_); trivial.
% 1.16/1.37 apply (zenon_L196_); trivial.
% 1.16/1.37 (* end of lemma zenon_L536_ *)
% 1.16/1.37 assert (zenon_L537_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> (~(hskp6)) -> ((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/((hskp6)\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c1_1 (a2533))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.16/1.37 do 0 intro. intros zenon_Hfe zenon_H74 zenon_H1ea zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_Hc5 zenon_H49 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H1 zenon_Hf0 zenon_H51 zenon_H1c7 zenon_H2a7 zenon_H2a6 zenon_H2a5 zenon_Hd zenon_Hfc zenon_Hb3.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.16/1.37 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.16/1.37 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.16/1.37 apply (zenon_L535_); trivial.
% 1.16/1.37 apply (zenon_L536_); trivial.
% 1.16/1.37 (* end of lemma zenon_L537_ *)
% 1.16/1.37 assert (zenon_L538_ : ((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (~(hskp6)) -> ((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/((hskp6)\/(hskp20))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c1_1 (a2533))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp1)) -> ((hskp21)\/((hskp18)\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((hskp23)\/(hskp27)) -> (~(hskp10)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.16/1.38 do 0 intro. intros zenon_H1b8 zenon_H101 zenon_H74 zenon_H1ea zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H1 zenon_Hf0 zenon_H1c7 zenon_H2a7 zenon_H2a6 zenon_H2a5 zenon_Hfc zenon_H54 zenon_H51 zenon_H3e zenon_H4b zenon_H1f zenon_H21 zenon_H49 zenon_Hc5 zenon_Hd zenon_Hf zenon_Hef zenon_Heb zenon_Hcb zenon_Hd6 zenon_Hd9 zenon_Hdd zenon_Hae zenon_Hb3 zenon_Hba.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.16/1.38 apply (zenon_L68_); trivial.
% 1.16/1.38 apply (zenon_L537_); trivial.
% 1.16/1.38 (* end of lemma zenon_L538_ *)
% 1.16/1.38 assert (zenon_L539_ : ((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> False).
% 1.16/1.38 do 0 intro. intros zenon_Had zenon_H177 zenon_Hae zenon_H49 zenon_H4b zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H105 zenon_H103 zenon_H10d zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e5.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.16/1.38 apply (zenon_L317_); trivial.
% 1.16/1.38 apply (zenon_L161_); trivial.
% 1.16/1.38 (* end of lemma zenon_L539_ *)
% 1.16/1.38 assert (zenon_L540_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (ndr1_0) -> (~(c1_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c3_1 (a2533))) -> (~(hskp19)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> False).
% 1.16/1.38 do 0 intro. intros zenon_Hb3 zenon_H177 zenon_Hae zenon_H49 zenon_H4b zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H105 zenon_H103 zenon_H10d zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e5 zenon_H12 zenon_H2a5 zenon_H2a6 zenon_H2a7 zenon_H3 zenon_H1c7.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.16/1.38 apply (zenon_L534_); trivial.
% 1.16/1.38 apply (zenon_L539_); trivial.
% 1.16/1.38 (* end of lemma zenon_L540_ *)
% 1.16/1.38 assert (zenon_L541_ : ((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp6)) -> ((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/((hskp6)\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c1_1 (a2533))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.16/1.38 do 0 intro. intros zenon_H1b8 zenon_H74 zenon_H1ea zenon_Hc5 zenon_H1 zenon_Hf0 zenon_H51 zenon_H1c7 zenon_H2a7 zenon_H2a6 zenon_H2a5 zenon_H1e5 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H10d zenon_H103 zenon_H105 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H4b zenon_H49 zenon_Hae zenon_H177 zenon_Hb3.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.16/1.38 apply (zenon_L540_); trivial.
% 1.16/1.38 apply (zenon_L536_); trivial.
% 1.16/1.38 (* end of lemma zenon_L541_ *)
% 1.16/1.38 assert (zenon_L542_ : ((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c1_1 (a2533)))/\((~(c2_1 (a2533)))/\(~(c3_1 (a2533))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp6)) -> ((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/((hskp6)\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((hskp13)\/(hskp4))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp12))) -> False).
% 1.16/1.38 do 0 intro. intros zenon_H12b zenon_H2ae zenon_H1d5 zenon_H74 zenon_H1ea zenon_Hc5 zenon_H1 zenon_Hf0 zenon_H51 zenon_H1c7 zenon_H1e5 zenon_H10d zenon_H103 zenon_H105 zenon_H1bc zenon_H4b zenon_H49 zenon_Hae zenon_H177 zenon_Hb3 zenon_H5f zenon_H29f zenon_H296 zenon_H297 zenon_H298 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H2a3.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.16/1.38 apply (zenon_L532_); trivial.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.16/1.38 apply (zenon_L529_); trivial.
% 1.16/1.38 apply (zenon_L541_); trivial.
% 1.16/1.38 (* end of lemma zenon_L542_ *)
% 1.16/1.38 assert (zenon_L543_ : ((ndr1_0)/\((c3_1 (a2528))/\((~(c0_1 (a2528)))/\(~(c1_1 (a2528)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp12))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((hskp13)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp23)\/(hskp27)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/((hskp6)\/(hskp20))) -> (~(hskp6)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c1_1 (a2533)))/\((~(c2_1 (a2533)))/\(~(c3_1 (a2533))))))) -> False).
% 1.16/1.38 do 0 intro. intros zenon_H1d1 zenon_H12e zenon_H1bc zenon_H4b zenon_Hae zenon_H177 zenon_H2a3 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H298 zenon_H297 zenon_H296 zenon_H29f zenon_H5f zenon_Hb3 zenon_H1e5 zenon_H11d zenon_H92 zenon_Hdd zenon_H12f zenon_H114 zenon_Hcb zenon_H1e0 zenon_Heb zenon_Hef zenon_Hfc zenon_Hd zenon_H1c7 zenon_H51 zenon_Hf0 zenon_H1 zenon_H49 zenon_Hc5 zenon_H1ea zenon_H74 zenon_H101 zenon_H1d5 zenon_H2ae.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.16/1.38 apply (zenon_L532_); trivial.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.16/1.38 apply (zenon_L529_); trivial.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.16/1.38 apply (zenon_L187_); trivial.
% 1.16/1.38 apply (zenon_L537_); trivial.
% 1.16/1.38 apply (zenon_L542_); trivial.
% 1.16/1.38 (* end of lemma zenon_L543_ *)
% 1.16/1.38 assert (zenon_L544_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> (~(hskp10)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> (~(hskp14)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.16/1.38 do 0 intro. intros zenon_H190 zenon_Ha2 zenon_H18b zenon_Hbc zenon_Hbd zenon_Hbe zenon_Hd6 zenon_Hd9 zenon_Hef zenon_H144 zenon_H5 zenon_H1e9 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_Hdd zenon_Heb zenon_He8 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1ea zenon_Hb3 zenon_H74.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.16/1.38 apply (zenon_L198_); trivial.
% 1.16/1.38 apply (zenon_L294_); trivial.
% 1.16/1.38 (* end of lemma zenon_L544_ *)
% 1.16/1.38 assert (zenon_L545_ : (forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))) -> (ndr1_0) -> (c0_1 (a2601)) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (c3_1 (a2601)) -> False).
% 1.16/1.38 do 0 intro. intros zenon_H14a zenon_H12 zenon_H1a4 zenon_H23 zenon_H1a5.
% 1.16/1.38 generalize (zenon_H14a (a2601)). zenon_intro zenon_H1ab.
% 1.16/1.38 apply (zenon_imply_s _ _ zenon_H1ab); [ zenon_intro zenon_H11 | zenon_intro zenon_H1ac ].
% 1.16/1.38 exact (zenon_H11 zenon_H12).
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1ad ].
% 1.16/1.38 exact (zenon_H1ae zenon_H1a4).
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1af ].
% 1.16/1.38 generalize (zenon_H23 (a2601)). zenon_intro zenon_H2b2.
% 1.16/1.38 apply (zenon_imply_s _ _ zenon_H2b2); [ zenon_intro zenon_H11 | zenon_intro zenon_H2b3 ].
% 1.16/1.38 exact (zenon_H11 zenon_H12).
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H1aa | zenon_intro zenon_H279 ].
% 1.16/1.38 exact (zenon_H1b0 zenon_H1aa).
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1af ].
% 1.16/1.38 exact (zenon_H1ae zenon_H1a4).
% 1.16/1.38 exact (zenon_H1af zenon_H1a5).
% 1.16/1.38 exact (zenon_H1af zenon_H1a5).
% 1.16/1.38 (* end of lemma zenon_L545_ *)
% 1.16/1.38 assert (zenon_L546_ : ((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2549)) -> (~(c1_1 (a2549))) -> (~(c0_1 (a2549))) -> (~(hskp10)) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> False).
% 1.16/1.38 do 0 intro. intros zenon_H1b2 zenon_H1ea zenon_Ha6 zenon_Ha5 zenon_Ha4 zenon_Hd6 zenon_H66 zenon_H67 zenon_H68 zenon_H157 zenon_H1d7 zenon_H1d8 zenon_H1d9.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H12. zenon_intro zenon_H1b4.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H1a4. zenon_intro zenon_H1b5.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H1a5. zenon_intro zenon_H1a6.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H1eb ].
% 1.16/1.38 apply (zenon_L47_); trivial.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H23 | zenon_intro zenon_H1d6 ].
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H65 | zenon_intro zenon_H158 ].
% 1.16/1.38 apply (zenon_L29_); trivial.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H14a | zenon_intro zenon_Hd7 ].
% 1.16/1.38 apply (zenon_L545_); trivial.
% 1.16/1.38 exact (zenon_Hd6 zenon_Hd7).
% 1.16/1.38 apply (zenon_L176_); trivial.
% 1.16/1.38 (* end of lemma zenon_L546_ *)
% 1.16/1.38 assert (zenon_L547_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (c2_1 (a2549)) -> (~(c1_1 (a2549))) -> (~(c0_1 (a2549))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> (ndr1_0) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(hskp21)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> False).
% 1.16/1.38 do 0 intro. intros zenon_H1b7 zenon_H1ea zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H66 zenon_H67 zenon_H68 zenon_Hd6 zenon_H157 zenon_Ha6 zenon_Ha5 zenon_Ha4 zenon_Hc5 zenon_H49 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H12 zenon_H1a2 zenon_H9 zenon_H4b zenon_H3e zenon_H51.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1b2 ].
% 1.16/1.38 apply (zenon_L141_); trivial.
% 1.16/1.38 apply (zenon_L546_); trivial.
% 1.16/1.38 (* end of lemma zenon_L547_ *)
% 1.16/1.38 assert (zenon_L548_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> (ndr1_0) -> (~(c1_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c3_1 (a2533))) -> (~(hskp19)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> False).
% 1.16/1.38 do 0 intro. intros zenon_Hb3 zenon_H54 zenon_Hd9 zenon_H51 zenon_H3e zenon_H4b zenon_H1a2 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H49 zenon_Hc5 zenon_H157 zenon_Hd6 zenon_H68 zenon_H67 zenon_H66 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1ea zenon_H1b7 zenon_H12 zenon_H2a5 zenon_H2a6 zenon_H2a7 zenon_H3 zenon_H1c7.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.16/1.38 apply (zenon_L534_); trivial.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.16/1.38 apply (zenon_L547_); trivial.
% 1.16/1.38 apply (zenon_L134_); trivial.
% 1.16/1.38 (* end of lemma zenon_L548_ *)
% 1.16/1.38 assert (zenon_L549_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> ((hskp23)\/(hskp27)) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((hskp21)\/((hskp18)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> False).
% 1.16/1.38 do 0 intro. intros zenon_H18d zenon_Hba zenon_Hb3 zenon_Hae zenon_H49 zenon_Hdd zenon_Hd9 zenon_Hbe zenon_Hbd zenon_Hbc zenon_Hcb zenon_He8 zenon_Heb zenon_Hf zenon_Hd zenon_H177 zenon_H174 zenon_H163 zenon_H66 zenon_H67 zenon_H68 zenon_H152 zenon_Hd6 zenon_H157 zenon_H189 zenon_Hef zenon_H54.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.16/1.38 apply (zenon_L119_); trivial.
% 1.16/1.38 apply (zenon_L67_); trivial.
% 1.16/1.38 (* end of lemma zenon_L549_ *)
% 1.16/1.38 assert (zenon_L550_ : ((ndr1_0)/\((c1_1 (a2524))/\((c3_1 (a2524))/\(~(c2_1 (a2524)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> (~(hskp6)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((hskp13)\/(hskp4))) -> False).
% 1.16/1.38 do 0 intro. intros zenon_H25b zenon_H1d5 zenon_H51 zenon_H203 zenon_H1 zenon_H49 zenon_Hc5 zenon_H296 zenon_H297 zenon_H298 zenon_H5f zenon_H29f.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H12. zenon_intro zenon_H25f.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H1fb. zenon_intro zenon_H260.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H1fc. zenon_intro zenon_H1fa.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.16/1.38 apply (zenon_L529_); trivial.
% 1.16/1.38 apply (zenon_L218_); trivial.
% 1.16/1.38 (* end of lemma zenon_L550_ *)
% 1.16/1.38 assert (zenon_L551_ : ((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> False).
% 1.16/1.38 do 0 intro. intros zenon_H39 zenon_H2b4 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H298 zenon_H297 zenon_H296.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H12. zenon_intro zenon_H3b.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H2e. zenon_intro zenon_H3c.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H2f. zenon_intro zenon_H30.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H2b5 ].
% 1.16/1.38 apply (zenon_L71_); trivial.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H295 | zenon_intro zenon_H2d ].
% 1.16/1.38 apply (zenon_L528_); trivial.
% 1.16/1.38 apply (zenon_L15_); trivial.
% 1.16/1.38 (* end of lemma zenon_L551_ *)
% 1.16/1.38 assert (zenon_L552_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> (~(hskp21)) -> (~(hskp26)) -> ((hskp30)\/((hskp21)\/(hskp26))) -> False).
% 1.16/1.38 do 0 intro. intros zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H9 zenon_H1a0 zenon_H1a2.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H1d | zenon_intro zenon_H39 ].
% 1.16/1.38 apply (zenon_L139_); trivial.
% 1.16/1.38 apply (zenon_L551_); trivial.
% 1.16/1.38 (* end of lemma zenon_L552_ *)
% 1.16/1.38 assert (zenon_L553_ : ((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> False).
% 1.16/1.38 do 0 intro. intros zenon_H50 zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H1f zenon_H21.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H1d | zenon_intro zenon_H39 ].
% 1.16/1.38 apply (zenon_L13_); trivial.
% 1.16/1.38 apply (zenon_L551_); trivial.
% 1.16/1.38 (* end of lemma zenon_L553_ *)
% 1.16/1.38 assert (zenon_L554_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (~(hskp18)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> False).
% 1.16/1.38 do 0 intro. intros zenon_H54 zenon_H1f zenon_H21 zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H1a2 zenon_H152 zenon_Hd6 zenon_H227 zenon_H226 zenon_H225 zenon_H20d zenon_Hb zenon_H230 zenon_H177 zenon_H1b7.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1b2 ].
% 1.16/1.38 apply (zenon_L552_); trivial.
% 1.16/1.38 apply (zenon_L264_); trivial.
% 1.16/1.38 apply (zenon_L553_); trivial.
% 1.16/1.38 (* end of lemma zenon_L554_ *)
% 1.16/1.38 assert (zenon_L555_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> (~(hskp15)) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> (~(hskp10)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> False).
% 1.16/1.38 do 0 intro. intros zenon_Hba zenon_H63 zenon_H61 zenon_H5f zenon_H1b7 zenon_H177 zenon_H230 zenon_H20d zenon_H225 zenon_H226 zenon_H227 zenon_Hd6 zenon_H152 zenon_H1a2 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_H21 zenon_H1f zenon_H54.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.16/1.38 apply (zenon_L554_); trivial.
% 1.16/1.38 apply (zenon_L97_); trivial.
% 1.16/1.38 (* end of lemma zenon_L555_ *)
% 1.16/1.38 assert (zenon_L556_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> False).
% 1.16/1.38 do 0 intro. intros zenon_Hb6 zenon_H54 zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H1f zenon_H21 zenon_H225 zenon_H226 zenon_H227 zenon_H241.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.16/1.38 apply (zenon_L295_); trivial.
% 1.16/1.38 apply (zenon_L553_); trivial.
% 1.16/1.38 (* end of lemma zenon_L556_ *)
% 1.16/1.38 assert (zenon_L557_ : ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a2539)) -> (~(c2_1 (a2539))) -> (~(c0_1 (a2539))) -> (~(hskp21)) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> (~(c1_1 (a2553))) -> (c0_1 (a2553)) -> (~(c3_1 (a2553))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(c2_1 (a2601))) -> (c3_1 (a2601)) -> (c0_1 (a2601)) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (ndr1_0) -> (~(hskp29)) -> False).
% 1.16/1.38 do 0 intro. intros zenon_H1b3 zenon_H193 zenon_H192 zenon_H191 zenon_H9 zenon_H225 zenon_H226 zenon_H227 zenon_Hdf zenon_He1 zenon_He0 zenon_H241 zenon_H1bc zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_H122 zenon_H121 zenon_H120 zenon_H12 zenon_H150.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H102 | zenon_intro zenon_H1b6 ].
% 1.16/1.38 apply (zenon_L125_); trivial.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H93 | zenon_intro zenon_H14a ].
% 1.16/1.38 apply (zenon_L291_); trivial.
% 1.16/1.38 apply (zenon_L344_); trivial.
% 1.16/1.38 (* end of lemma zenon_L557_ *)
% 1.16/1.38 assert (zenon_L558_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (~(hskp10)) -> (c0_1 (a2601)) -> (c3_1 (a2601)) -> (~(c2_1 (a2601))) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (ndr1_0) -> (~(c1_1 (a2553))) -> (~(c3_1 (a2553))) -> (c0_1 (a2553)) -> False).
% 1.16/1.38 do 0 intro. intros zenon_H189 zenon_H122 zenon_H121 zenon_H2d zenon_Hd6 zenon_H1a4 zenon_H1a5 zenon_H1a6 zenon_H93 zenon_H157 zenon_H12 zenon_Hdf zenon_He0 zenon_He1.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H55 | zenon_intro zenon_H18a ].
% 1.16/1.38 apply (zenon_L158_); trivial.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H118 | zenon_intro zenon_Hde ].
% 1.16/1.38 apply (zenon_L143_); trivial.
% 1.16/1.38 apply (zenon_L63_); trivial.
% 1.16/1.38 (* end of lemma zenon_L558_ *)
% 1.16/1.38 assert (zenon_L559_ : ((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> (~(c0_1 (a2539))) -> (~(c2_1 (a2539))) -> (c3_1 (a2539)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (~(hskp21)) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (~(c3_1 (a2553))) -> (c0_1 (a2553)) -> (~(c1_1 (a2553))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> False).
% 1.16/1.38 do 0 intro. intros zenon_H1b2 zenon_H177 zenon_H2b4 zenon_H189 zenon_Hd6 zenon_H157 zenon_H230 zenon_H298 zenon_H297 zenon_H296 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H191 zenon_H192 zenon_H193 zenon_H241 zenon_H9 zenon_H227 zenon_H226 zenon_H225 zenon_He0 zenon_He1 zenon_Hdf zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H1b3.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H12. zenon_intro zenon_H1b4.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H1a4. zenon_intro zenon_H1b5.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H1a5. zenon_intro zenon_H1a6.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.16/1.38 apply (zenon_L557_); trivial.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H2b5 ].
% 1.16/1.38 apply (zenon_L71_); trivial.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H295 | zenon_intro zenon_H2d ].
% 1.16/1.38 apply (zenon_L528_); trivial.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H102 | zenon_intro zenon_H1b6 ].
% 1.16/1.38 apply (zenon_L125_); trivial.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H93 | zenon_intro zenon_H14a ].
% 1.16/1.38 apply (zenon_L558_); trivial.
% 1.16/1.38 apply (zenon_L346_); trivial.
% 1.16/1.38 (* end of lemma zenon_L559_ *)
% 1.16/1.38 assert (zenon_L560_ : ((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> (~(c0_1 (a2539))) -> (~(c2_1 (a2539))) -> (c3_1 (a2539)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(hskp21)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> False).
% 1.16/1.38 do 0 intro. intros zenon_Hea zenon_H1b7 zenon_H177 zenon_H2b4 zenon_H189 zenon_Hd6 zenon_H157 zenon_H230 zenon_H298 zenon_H297 zenon_H296 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H191 zenon_H192 zenon_H193 zenon_H241 zenon_H227 zenon_H226 zenon_H225 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H1b3 zenon_Hc5 zenon_H49 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H1a2 zenon_H9 zenon_H4b zenon_H3e zenon_H51.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1b2 ].
% 1.16/1.38 apply (zenon_L141_); trivial.
% 1.16/1.38 apply (zenon_L559_); trivial.
% 1.16/1.38 (* end of lemma zenon_L560_ *)
% 1.16/1.38 assert (zenon_L561_ : ((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((hskp13)\/(hskp4))) -> False).
% 1.16/1.38 do 0 intro. intros zenon_H12b zenon_H1d5 zenon_H54 zenon_H1f zenon_H21 zenon_H51 zenon_H3e zenon_H4b zenon_H1a2 zenon_H49 zenon_Hc5 zenon_H216 zenon_H10d zenon_H103 zenon_H105 zenon_H1bc zenon_H230 zenon_H227 zenon_H226 zenon_H225 zenon_H177 zenon_H1b7 zenon_H296 zenon_H297 zenon_H298 zenon_H5f zenon_H29f.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.16/1.38 apply (zenon_L529_); trivial.
% 1.16/1.38 apply (zenon_L351_); trivial.
% 1.16/1.38 (* end of lemma zenon_L561_ *)
% 1.16/1.38 assert (zenon_L562_ : ((ndr1_0)/\((c3_1 (a2528))/\((~(c0_1 (a2528)))/\(~(c1_1 (a2528)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((hskp13)\/(hskp4))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> (~(hskp7)) -> (~(hskp8)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> False).
% 1.16/1.38 do 0 intro. intros zenon_H1d1 zenon_H12e zenon_H1d5 zenon_H54 zenon_H1f zenon_H21 zenon_H51 zenon_H3e zenon_H4b zenon_H1a2 zenon_H49 zenon_Hc5 zenon_H216 zenon_H1bc zenon_H230 zenon_H227 zenon_H226 zenon_H225 zenon_H177 zenon_H1b7 zenon_H296 zenon_H297 zenon_H298 zenon_H5f zenon_H29f zenon_H116 zenon_H114 zenon_H112 zenon_H11d.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.16/1.38 apply (zenon_L82_); trivial.
% 1.16/1.38 apply (zenon_L561_); trivial.
% 1.16/1.38 (* end of lemma zenon_L562_ *)
% 1.16/1.38 assert (zenon_L563_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (c1_1 (a2551)) -> (c0_1 (a2551)) -> (~(c2_1 (a2551))) -> (~(hskp17)) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (ndr1_0) -> (~(c1_1 (a2553))) -> (~(c3_1 (a2553))) -> (c0_1 (a2553)) -> False).
% 1.16/1.38 do 0 intro. intros zenon_H189 zenon_H122 zenon_H121 zenon_H2d zenon_H26 zenon_H25 zenon_H24 zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_H16 zenon_H15 zenon_H14 zenon_H146 zenon_H10d zenon_H103 zenon_H105 zenon_H216 zenon_H12 zenon_Hdf zenon_He0 zenon_He1.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H55 | zenon_intro zenon_H18a ].
% 1.16/1.38 apply (zenon_L158_); trivial.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H118 | zenon_intro zenon_Hde ].
% 1.16/1.38 apply (zenon_L362_); trivial.
% 1.16/1.38 apply (zenon_L63_); trivial.
% 1.16/1.38 (* end of lemma zenon_L563_ *)
% 1.16/1.38 assert (zenon_L564_ : ((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (c1_1 (a2551)) -> (c0_1 (a2551)) -> (~(c2_1 (a2551))) -> (~(hskp17)) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> False).
% 1.16/1.38 do 0 intro. intros zenon_Hea zenon_H2b4 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H298 zenon_H297 zenon_H296 zenon_H189 zenon_H122 zenon_H121 zenon_H26 zenon_H25 zenon_H24 zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_H16 zenon_H15 zenon_H14 zenon_H146 zenon_H10d zenon_H103 zenon_H105 zenon_H216.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H2b5 ].
% 1.16/1.38 apply (zenon_L71_); trivial.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H295 | zenon_intro zenon_H2d ].
% 1.16/1.38 apply (zenon_L528_); trivial.
% 1.16/1.38 apply (zenon_L563_); trivial.
% 1.16/1.38 (* end of lemma zenon_L564_ *)
% 1.16/1.38 assert (zenon_L565_ : ((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> (~(hskp18)) -> (~(hskp1)) -> ((hskp21)\/((hskp18)\/(hskp1))) -> False).
% 1.16/1.38 do 0 intro. intros zenon_H71 zenon_H54 zenon_Hef zenon_H2b4 zenon_H121 zenon_H122 zenon_H216 zenon_H105 zenon_H103 zenon_H10d zenon_H189 zenon_H298 zenon_H297 zenon_H296 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H146 zenon_H148 zenon_Hdd zenon_Hb zenon_Hd zenon_Hf.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.16/1.38 apply (zenon_L8_); trivial.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.16/1.38 apply (zenon_L100_); trivial.
% 1.16/1.38 apply (zenon_L564_); trivial.
% 1.16/1.38 (* end of lemma zenon_L565_ *)
% 1.16/1.38 assert (zenon_L566_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> (~(hskp18)) -> (~(hskp1)) -> ((hskp21)\/((hskp18)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> (~(hskp16)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.16/1.38 do 0 intro. intros zenon_H74 zenon_H54 zenon_H2b4 zenon_H121 zenon_H122 zenon_H216 zenon_H105 zenon_H103 zenon_H10d zenon_H189 zenon_H298 zenon_H297 zenon_H296 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_Hb zenon_Hd zenon_Hf zenon_Hdd zenon_H148 zenon_H146 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H1e9 zenon_H5 zenon_H144 zenon_Hef.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.16/1.38 apply (zenon_L194_); trivial.
% 1.16/1.38 apply (zenon_L565_); trivial.
% 1.16/1.38 (* end of lemma zenon_L566_ *)
% 1.16/1.38 assert (zenon_L567_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (~(c3_1 (a2531))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> (~(hskp1)) -> ((hskp21)\/((hskp18)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> (~(hskp16)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.16/1.38 do 0 intro. intros zenon_H190 zenon_H177 zenon_H230 zenon_H120 zenon_H1bc zenon_H74 zenon_H54 zenon_H2b4 zenon_H121 zenon_H122 zenon_H216 zenon_H105 zenon_H103 zenon_H10d zenon_H189 zenon_H298 zenon_H297 zenon_H296 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_Hd zenon_Hf zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H1e9 zenon_H5 zenon_H144 zenon_Hef zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_Hba.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.16/1.38 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.16/1.38 apply (zenon_L566_); trivial.
% 1.16/1.38 apply (zenon_L366_); trivial.
% 1.16/1.38 apply (zenon_L343_); trivial.
% 1.16/1.38 (* end of lemma zenon_L567_ *)
% 1.16/1.38 assert (zenon_L568_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (c2_1 (a2549)) -> (~(c1_1 (a2549))) -> (~(c0_1 (a2549))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (ndr1_0) -> (~(hskp3)) -> False).
% 1.16/1.38 do 0 intro. intros zenon_Hae zenon_Ha6 zenon_Ha5 zenon_Ha4 zenon_H122 zenon_H121 zenon_H2d zenon_H12 zenon_H49.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hb1 ].
% 1.16/1.38 apply (zenon_L47_); trivial.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H55 | zenon_intro zenon_H4a ].
% 1.16/1.38 apply (zenon_L158_); trivial.
% 1.16/1.38 exact (zenon_H49 zenon_H4a).
% 1.16/1.38 (* end of lemma zenon_L568_ *)
% 1.16/1.38 assert (zenon_L569_ : ((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(hskp3)) -> False).
% 1.16/1.38 do 0 intro. intros zenon_Had zenon_H2b4 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H298 zenon_H297 zenon_H296 zenon_Hae zenon_H122 zenon_H121 zenon_H49.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H2b5 ].
% 1.16/1.38 apply (zenon_L71_); trivial.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H295 | zenon_intro zenon_H2d ].
% 1.16/1.38 apply (zenon_L528_); trivial.
% 1.16/1.38 apply (zenon_L568_); trivial.
% 1.16/1.38 (* end of lemma zenon_L569_ *)
% 1.16/1.38 assert (zenon_L570_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> (~(hskp3)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> (ndr1_0) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(hskp19)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> False).
% 1.16/1.38 do 0 intro. intros zenon_Hb3 zenon_H2b4 zenon_H121 zenon_H122 zenon_H49 zenon_Hae zenon_H298 zenon_H297 zenon_H296 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H12 zenon_H132 zenon_H133 zenon_H134 zenon_H1c7 zenon_H3 zenon_H67 zenon_H66 zenon_H146 zenon_H148.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.16/1.38 apply (zenon_L155_); trivial.
% 1.16/1.38 apply (zenon_L569_); trivial.
% 1.16/1.38 (* end of lemma zenon_L570_ *)
% 1.16/1.38 assert (zenon_L571_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> (c0_1 (a2540)) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> (~(hskp3)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> (ndr1_0) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((hskp21)\/((hskp18)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((hskp23)\/(hskp27)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.16/1.38 do 0 intro. intros zenon_Hba zenon_H68 zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_Hb3 zenon_H2b4 zenon_H121 zenon_H122 zenon_H49 zenon_Hae zenon_H298 zenon_H297 zenon_H296 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H12 zenon_H132 zenon_H133 zenon_H134 zenon_H1c7 zenon_H67 zenon_H66 zenon_H146 zenon_H148 zenon_Hf zenon_Hd zenon_Hdd zenon_Hcb zenon_H189 zenon_H10d zenon_H103 zenon_H105 zenon_H216 zenon_Hef zenon_H54 zenon_H74.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.16/1.38 apply (zenon_L570_); trivial.
% 1.16/1.38 apply (zenon_L565_); trivial.
% 1.16/1.38 apply (zenon_L384_); trivial.
% 1.16/1.38 (* end of lemma zenon_L571_ *)
% 1.16/1.38 assert (zenon_L572_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (~(c3_1 (a2531))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((hskp23)\/(hskp27)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> (~(hskp1)) -> ((hskp21)\/((hskp18)\/(hskp1))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.16/1.38 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_H177 zenon_H230 zenon_H120 zenon_H1bc zenon_H74 zenon_H54 zenon_Hef zenon_H216 zenon_H105 zenon_H103 zenon_H10d zenon_H189 zenon_Hcb zenon_Hdd zenon_Hd zenon_Hf zenon_H148 zenon_H1c7 zenon_H134 zenon_H133 zenon_H132 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_Hae zenon_H49 zenon_H122 zenon_H121 zenon_H2b4 zenon_Hb3 zenon_H241 zenon_H227 zenon_H226 zenon_H225 zenon_Hba.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.16/1.38 apply (zenon_L571_); trivial.
% 1.16/1.38 apply (zenon_L343_); trivial.
% 1.16/1.38 (* end of lemma zenon_L572_ *)
% 1.16/1.38 assert (zenon_L573_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> ((hskp23)\/(hskp27)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.16/1.38 do 0 intro. intros zenon_Hfe zenon_H1b9 zenon_Hb3 zenon_Hae zenon_Hef zenon_H157 zenon_H1b3 zenon_Hc5 zenon_H49 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H4b zenon_H51 zenon_H1e0 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_Hcb zenon_H114 zenon_H12f zenon_Hdd zenon_H92 zenon_H11b zenon_H11d zenon_H54 zenon_H1f zenon_H21 zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_H1a2 zenon_H152 zenon_Hd6 zenon_H227 zenon_H226 zenon_H225 zenon_H20d zenon_H230 zenon_H177 zenon_H1b7 zenon_H5f zenon_H63 zenon_Hba.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.16/1.38 apply (zenon_L555_); trivial.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.16/1.38 apply (zenon_L269_); trivial.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.16/1.38 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.16/1.38 apply (zenon_L181_); trivial.
% 1.16/1.38 apply (zenon_L145_); trivial.
% 1.16/1.38 apply (zenon_L553_); trivial.
% 1.16/1.38 apply (zenon_L48_); trivial.
% 1.16/1.38 (* end of lemma zenon_L573_ *)
% 1.16/1.38 assert (zenon_L574_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> ((hskp23)\/(hskp27)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.16/1.38 do 0 intro. intros zenon_Hfe zenon_H1b9 zenon_Hb3 zenon_Hae zenon_Hef zenon_H2b4 zenon_H189 zenon_H157 zenon_H298 zenon_H297 zenon_H296 zenon_H241 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H1b3 zenon_H1e0 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_Hcb zenon_H114 zenon_H12f zenon_Hdd zenon_H92 zenon_H54 zenon_H1f zenon_H21 zenon_H51 zenon_H3e zenon_H4b zenon_H1a2 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H49 zenon_Hc5 zenon_H152 zenon_Hd6 zenon_H227 zenon_H226 zenon_H225 zenon_H20d zenon_H230 zenon_H177 zenon_H1b7 zenon_H5f zenon_H63 zenon_Hba.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.16/1.38 apply (zenon_L306_); trivial.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.16/1.38 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.16/1.38 apply (zenon_L181_); trivial.
% 1.16/1.38 apply (zenon_L560_); trivial.
% 1.16/1.38 apply (zenon_L54_); trivial.
% 1.16/1.38 apply (zenon_L569_); trivial.
% 1.16/1.38 (* end of lemma zenon_L574_ *)
% 1.16/1.38 assert (zenon_L575_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a2545)) -> (c1_1 (a2545)) -> (~(c0_1 (a2545))) -> (ndr1_0) -> (~(c1_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c3_1 (a2533))) -> (~(hskp19)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> False).
% 1.16/1.38 do 0 intro. intros zenon_Hb3 zenon_Hae zenon_H49 zenon_H58 zenon_H57 zenon_H56 zenon_H12 zenon_H2a5 zenon_H2a6 zenon_H2a7 zenon_H3 zenon_H1c7.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.16/1.38 apply (zenon_L534_); trivial.
% 1.16/1.38 apply (zenon_L48_); trivial.
% 1.16/1.38 (* end of lemma zenon_L575_ *)
% 1.16/1.38 assert (zenon_L576_ : ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp21)) -> (ndr1_0) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> (~(c1_1 (a2553))) -> (c0_1 (a2553)) -> (~(c3_1 (a2553))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (~(hskp25)) -> (~(hskp3)) -> False).
% 1.16/1.38 do 0 intro. intros zenon_H9d zenon_H9 zenon_H12 zenon_H225 zenon_H226 zenon_H227 zenon_Hdf zenon_He1 zenon_He0 zenon_H241 zenon_H7d zenon_H49.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H93 | zenon_intro zenon_H9e ].
% 1.16/1.38 apply (zenon_L291_); trivial.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H7e | zenon_intro zenon_H4a ].
% 1.16/1.38 exact (zenon_H7d zenon_H7e).
% 1.16/1.38 exact (zenon_H49 zenon_H4a).
% 1.16/1.38 (* end of lemma zenon_L576_ *)
% 1.16/1.38 assert (zenon_L577_ : ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c0_1 (a2564)) -> (~(c2_1 (a2564))) -> (~(c1_1 (a2564))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31)))))) -> (~(c1_1 (a2528))) -> (ndr1_0) -> (~(c2_1 (a2601))) -> (c0_1 (a2601)) -> (c3_1 (a2601)) -> False).
% 1.16/1.38 do 0 intro. intros zenon_H223 zenon_H84 zenon_H83 zenon_H82 zenon_H105 zenon_H103 zenon_H102 zenon_H10d zenon_H12 zenon_H1a6 zenon_H1a4 zenon_H1a5.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H81 | zenon_intro zenon_H224 ].
% 1.16/1.38 apply (zenon_L39_); trivial.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H10c | zenon_intro zenon_H21f ].
% 1.16/1.38 apply (zenon_L76_); trivial.
% 1.16/1.38 apply (zenon_L431_); trivial.
% 1.16/1.38 (* end of lemma zenon_L577_ *)
% 1.16/1.38 assert (zenon_L578_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (~(c2_1 (a2601))) -> (c3_1 (a2601)) -> (c0_1 (a2601)) -> (forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32)))))) -> (ndr1_0) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> False).
% 1.16/1.38 do 0 intro. intros zenon_H216 zenon_H105 zenon_H103 zenon_H10d zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_H118 zenon_H12 zenon_H24 zenon_H25 zenon_H26.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H217 ].
% 1.16/1.38 apply (zenon_L184_); trivial.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H14a | zenon_intro zenon_H3f ].
% 1.16/1.38 apply (zenon_L142_); trivial.
% 1.16/1.38 apply (zenon_L361_); trivial.
% 1.16/1.38 (* end of lemma zenon_L578_ *)
% 1.16/1.38 assert (zenon_L579_ : ((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(c1_1 (a2564))) -> (~(c2_1 (a2564))) -> (c0_1 (a2564)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(hskp11)) -> False).
% 1.16/1.38 do 0 intro. intros zenon_H1b2 zenon_H11d zenon_H82 zenon_H83 zenon_H84 zenon_H223 zenon_H26 zenon_H25 zenon_H24 zenon_H10d zenon_H103 zenon_H105 zenon_H216 zenon_H11b.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H12. zenon_intro zenon_H1b4.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H1a4. zenon_intro zenon_H1b5.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H1a5. zenon_intro zenon_H1a6.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H102 | zenon_intro zenon_H11e ].
% 1.16/1.38 apply (zenon_L577_); trivial.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H118 | zenon_intro zenon_H11c ].
% 1.16/1.38 apply (zenon_L578_); trivial.
% 1.16/1.38 exact (zenon_H11b zenon_H11c).
% 1.16/1.38 (* end of lemma zenon_L579_ *)
% 1.16/1.38 assert (zenon_L580_ : ((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (~(hskp21)) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> False).
% 1.16/1.38 do 0 intro. intros zenon_Hea zenon_H92 zenon_H1b7 zenon_H11d zenon_H11b zenon_H24 zenon_H25 zenon_H26 zenon_H216 zenon_H10d zenon_H103 zenon_H105 zenon_H223 zenon_H1a2 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_H241 zenon_H9 zenon_H227 zenon_H226 zenon_H225 zenon_H49 zenon_H9d.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.16/1.38 apply (zenon_L576_); trivial.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H12. zenon_intro zenon_H8f.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H84. zenon_intro zenon_H90.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H82. zenon_intro zenon_H83.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1b2 ].
% 1.16/1.38 apply (zenon_L552_); trivial.
% 1.16/1.38 apply (zenon_L579_); trivial.
% 1.16/1.38 (* end of lemma zenon_L580_ *)
% 1.16/1.38 assert (zenon_L581_ : ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (ndr1_0) -> (forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (~(hskp16)) -> False).
% 1.16/1.38 do 0 intro. intros zenon_H144 zenon_H134 zenon_H133 zenon_H132 zenon_H1d9 zenon_H1d8 zenon_H12 zenon_H2d zenon_H5.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H131 | zenon_intro zenon_H145 ].
% 1.16/1.38 apply (zenon_L93_); trivial.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H93 | zenon_intro zenon_H6 ].
% 1.16/1.38 apply (zenon_L298_); trivial.
% 1.16/1.38 exact (zenon_H5 zenon_H6).
% 1.16/1.38 (* end of lemma zenon_L581_ *)
% 1.16/1.38 assert (zenon_L582_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (ndr1_0) -> (~(hskp16)) -> False).
% 1.16/1.38 do 0 intro. intros zenon_H2b4 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H298 zenon_H297 zenon_H296 zenon_H144 zenon_H134 zenon_H133 zenon_H132 zenon_H1d9 zenon_H1d8 zenon_H12 zenon_H5.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H2b5 ].
% 1.16/1.38 apply (zenon_L71_); trivial.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H295 | zenon_intro zenon_H2d ].
% 1.16/1.38 apply (zenon_L528_); trivial.
% 1.16/1.38 apply (zenon_L581_); trivial.
% 1.16/1.38 (* end of lemma zenon_L582_ *)
% 1.16/1.38 assert (zenon_L583_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> False).
% 1.16/1.38 do 0 intro. intros zenon_Hfe zenon_Hb9 zenon_H54 zenon_Hd9 zenon_Hd6 zenon_H157 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_H296 zenon_H297 zenon_H298 zenon_H144 zenon_H1d9 zenon_H1d8 zenon_H134 zenon_H133 zenon_H132 zenon_H2b4.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.16/1.38 apply (zenon_L582_); trivial.
% 1.16/1.38 apply (zenon_L296_); trivial.
% 1.16/1.38 (* end of lemma zenon_L583_ *)
% 1.16/1.38 assert (zenon_L584_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c1_1 (a2528))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (ndr1_0) -> (~(c1_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c3_1 (a2533))) -> (~(hskp19)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> False).
% 1.16/1.38 do 0 intro. intros zenon_Hb3 zenon_H1e5 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H103 zenon_H105 zenon_H10d zenon_H11b zenon_H11d zenon_H12 zenon_H2a5 zenon_H2a6 zenon_H2a7 zenon_H3 zenon_H1c7.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.16/1.38 apply (zenon_L534_); trivial.
% 1.16/1.38 apply (zenon_L186_); trivial.
% 1.16/1.38 (* end of lemma zenon_L584_ *)
% 1.16/1.38 assert (zenon_L585_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2528)) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31)))))) -> (~(c0_1 (a2528))) -> (c1_1 (a2551)) -> (c0_1 (a2551)) -> (~(c2_1 (a2551))) -> (forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25)))))) -> (ndr1_0) -> (c0_1 (a2529)) -> (c2_1 (a2529)) -> (c3_1 (a2529)) -> False).
% 1.16/1.38 do 0 intro. intros zenon_H216 zenon_H105 zenon_H102 zenon_H103 zenon_H16 zenon_H15 zenon_H14 zenon_Hcc zenon_H12 zenon_H40 zenon_H41 zenon_H42.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H217 ].
% 1.16/1.38 apply (zenon_L183_); trivial.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H14a | zenon_intro zenon_H3f ].
% 1.16/1.38 apply (zenon_L129_); trivial.
% 1.16/1.38 apply (zenon_L19_); trivial.
% 1.16/1.38 (* end of lemma zenon_L585_ *)
% 1.16/1.38 assert (zenon_L586_ : ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> (c0_1 (a2564)) -> (~(c2_1 (a2564))) -> (~(c1_1 (a2564))) -> (c3_1 (a2529)) -> (c2_1 (a2529)) -> (c0_1 (a2529)) -> (ndr1_0) -> (~(c2_1 (a2551))) -> (c0_1 (a2551)) -> (c1_1 (a2551)) -> (~(c0_1 (a2528))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31)))))) -> (c3_1 (a2528)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(hskp7)) -> False).
% 1.16/1.38 do 0 intro. intros zenon_H12f zenon_H84 zenon_H83 zenon_H82 zenon_H42 zenon_H41 zenon_H40 zenon_H12 zenon_H14 zenon_H15 zenon_H16 zenon_H103 zenon_H102 zenon_H105 zenon_H216 zenon_H114.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H81 | zenon_intro zenon_H130 ].
% 1.16/1.38 apply (zenon_L39_); trivial.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_Hcc | zenon_intro zenon_H115 ].
% 1.16/1.38 apply (zenon_L585_); trivial.
% 1.16/1.38 exact (zenon_H114 zenon_H115).
% 1.16/1.38 (* end of lemma zenon_L586_ *)
% 1.16/1.38 assert (zenon_L587_ : ((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a2528))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c1_1 (a2551)) -> (c0_1 (a2551)) -> (~(c2_1 (a2551))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> False).
% 1.16/1.38 do 0 intro. intros zenon_H8d zenon_H51 zenon_H11d zenon_H11b zenon_H10d zenon_H148 zenon_H146 zenon_H134 zenon_H133 zenon_H132 zenon_H24 zenon_H25 zenon_H26 zenon_H216 zenon_H16 zenon_H15 zenon_H14 zenon_H105 zenon_H103 zenon_H114 zenon_H12f zenon_Hbc zenon_Hbd zenon_Hbe zenon_H49 zenon_Hc5.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H12. zenon_intro zenon_H8f.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H84. zenon_intro zenon_H90.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H82. zenon_intro zenon_H83.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ].
% 1.16/1.38 apply (zenon_L53_); trivial.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H12. zenon_intro zenon_H4e.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H40. zenon_intro zenon_H4f.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H41. zenon_intro zenon_H42.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H102 | zenon_intro zenon_H11e ].
% 1.16/1.38 apply (zenon_L586_); trivial.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H118 | zenon_intro zenon_H11c ].
% 1.16/1.38 apply (zenon_L362_); trivial.
% 1.16/1.38 exact (zenon_H11b zenon_H11c).
% 1.16/1.38 (* end of lemma zenon_L587_ *)
% 1.16/1.38 assert (zenon_L588_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((hskp21)\/((hskp18)\/(hskp1))) -> (~(hskp1)) -> (~(hskp18)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c1_1 (a2533))) -> (ndr1_0) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a2528))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.16/1.38 do 0 intro. intros zenon_H74 zenon_Hf zenon_Hd zenon_Hb zenon_H1e0 zenon_Hc5 zenon_H49 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H12f zenon_H114 zenon_H216 zenon_H132 zenon_H133 zenon_H134 zenon_H146 zenon_H148 zenon_H51 zenon_H92 zenon_H54 zenon_H1c7 zenon_H2a7 zenon_H2a6 zenon_H2a5 zenon_H12 zenon_H11d zenon_H11b zenon_H10d zenon_H105 zenon_H103 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e5 zenon_Hb3.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.16/1.38 apply (zenon_L584_); trivial.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.16/1.38 apply (zenon_L8_); trivial.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.16/1.38 apply (zenon_L177_); trivial.
% 1.16/1.38 apply (zenon_L587_); trivial.
% 1.16/1.38 apply (zenon_L186_); trivial.
% 1.16/1.38 (* end of lemma zenon_L588_ *)
% 1.16/1.38 assert (zenon_L589_ : ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52)))))) -> (~(c2_1 (a2524))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp9)) -> False).
% 1.16/1.38 do 0 intro. intros zenon_H21 zenon_H1fc zenon_H1fb zenon_H131 zenon_H1fa zenon_H12 zenon_H1d zenon_H1f.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H13 | zenon_intro zenon_H22 ].
% 1.16/1.38 apply (zenon_L238_); trivial.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H1e | zenon_intro zenon_H20 ].
% 1.16/1.38 exact (zenon_H1d zenon_H1e).
% 1.16/1.38 exact (zenon_H1f zenon_H20).
% 1.16/1.38 (* end of lemma zenon_L589_ *)
% 1.16/1.38 assert (zenon_L590_ : ((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> False).
% 1.16/1.38 do 0 intro. intros zenon_Hd8 zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H21 zenon_H1f zenon_H1fc zenon_H1fb zenon_H1fa zenon_H146 zenon_H148.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H12. zenon_intro zenon_Hda.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_Hcf. zenon_intro zenon_Hdb.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hcd. zenon_intro zenon_Hce.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H1d | zenon_intro zenon_H39 ].
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H131 | zenon_intro zenon_H149 ].
% 1.16/1.38 apply (zenon_L589_); trivial.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hcc | zenon_intro zenon_H147 ].
% 1.16/1.38 apply (zenon_L59_); trivial.
% 1.16/1.38 exact (zenon_H146 zenon_H147).
% 1.16/1.38 apply (zenon_L551_); trivial.
% 1.16/1.38 (* end of lemma zenon_L590_ *)
% 1.16/1.38 assert (zenon_L591_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp23)) -> ((hskp23)\/(hskp27)) -> False).
% 1.16/1.38 do 0 intro. intros zenon_Hdd zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H21 zenon_H1f zenon_H1fc zenon_H1fb zenon_H1fa zenon_H146 zenon_H148 zenon_Hc7 zenon_Hcb.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hd8 ].
% 1.16/1.38 apply (zenon_L58_); trivial.
% 1.16/1.38 apply (zenon_L590_); trivial.
% 1.16/1.38 (* end of lemma zenon_L591_ *)
% 1.16/1.38 assert (zenon_L592_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((hskp23)\/(hskp27)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.16/1.38 do 0 intro. intros zenon_Hfe zenon_H1b9 zenon_H190 zenon_Hef zenon_H11d zenon_H11b zenon_H157 zenon_H1b3 zenon_Hc5 zenon_H49 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H4b zenon_H51 zenon_Hcb zenon_H148 zenon_H1fa zenon_H1fb zenon_H1fc zenon_Hdd zenon_H54 zenon_H1f zenon_H21 zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_H1a2 zenon_H152 zenon_Hd6 zenon_H227 zenon_H226 zenon_H225 zenon_H20d zenon_H230 zenon_H177 zenon_H1b7 zenon_H5f zenon_H63 zenon_Hba.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.16/1.38 apply (zenon_L555_); trivial.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.16/1.38 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.16/1.38 apply (zenon_L591_); trivial.
% 1.16/1.38 apply (zenon_L145_); trivial.
% 1.16/1.38 apply (zenon_L553_); trivial.
% 1.16/1.38 apply (zenon_L126_); trivial.
% 1.16/1.38 (* end of lemma zenon_L592_ *)
% 1.16/1.38 assert (zenon_L593_ : ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp9)) -> (~(hskp30)) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp19)) -> (ndr1_0) -> (~(c1_1 (a2553))) -> (c0_1 (a2553)) -> (~(c3_1 (a2553))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> (~(hskp16)) -> False).
% 1.16/1.38 do 0 intro. intros zenon_H144 zenon_H1f zenon_H1d zenon_H1fa zenon_H1fb zenon_H1fc zenon_H21 zenon_H3 zenon_H12 zenon_Hdf zenon_He1 zenon_He0 zenon_H1e9 zenon_H5.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H131 | zenon_intro zenon_H145 ].
% 1.16/1.38 apply (zenon_L589_); trivial.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H93 | zenon_intro zenon_H6 ].
% 1.16/1.38 apply (zenon_L192_); trivial.
% 1.16/1.38 exact (zenon_H5 zenon_H6).
% 1.16/1.38 (* end of lemma zenon_L593_ *)
% 1.16/1.38 assert (zenon_L594_ : ((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> (~(hskp16)) -> (~(hskp19)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> False).
% 1.16/1.38 do 0 intro. intros zenon_Hea zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H21 zenon_H1f zenon_H1fc zenon_H1fb zenon_H1fa zenon_H1e9 zenon_H5 zenon_H3 zenon_H144.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H1d | zenon_intro zenon_H39 ].
% 1.16/1.38 apply (zenon_L593_); trivial.
% 1.16/1.38 apply (zenon_L551_); trivial.
% 1.16/1.38 (* end of lemma zenon_L594_ *)
% 1.16/1.38 assert (zenon_L595_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> (~(hskp16)) -> (~(hskp19)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((hskp23)\/(hskp27)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> False).
% 1.16/1.38 do 0 intro. intros zenon_Hef zenon_H1e9 zenon_H5 zenon_H3 zenon_H144 zenon_Hcb zenon_H148 zenon_H146 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H1f zenon_H21 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_Hdd.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.16/1.38 apply (zenon_L591_); trivial.
% 1.16/1.38 apply (zenon_L594_); trivial.
% 1.16/1.38 (* end of lemma zenon_L595_ *)
% 1.16/1.38 assert (zenon_L596_ : ((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((hskp23)\/(hskp27)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (c3_1 (a2539)) -> (~(c2_1 (a2539))) -> (~(c0_1 (a2539))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.16/1.38 do 0 intro. intros zenon_H71 zenon_H54 zenon_H3a zenon_Hdd zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H21 zenon_H1f zenon_H1fc zenon_H1fb zenon_H1fa zenon_H146 zenon_H148 zenon_Hcb zenon_H51 zenon_H4b zenon_H1a2 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H49 zenon_Hc5 zenon_H1b3 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_H193 zenon_H192 zenon_H191 zenon_H230 zenon_H157 zenon_Hd6 zenon_H189 zenon_H177 zenon_H1b7 zenon_Hef.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.16/1.38 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.16/1.38 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.16/1.38 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.16/1.38 apply (zenon_L591_); trivial.
% 1.16/1.38 apply (zenon_L560_); trivial.
% 1.16/1.38 apply (zenon_L23_); trivial.
% 1.16/1.38 (* end of lemma zenon_L596_ *)
% 1.16/1.38 assert (zenon_L597_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (c3_1 (a2539)) -> (~(c2_1 (a2539))) -> (~(c0_1 (a2539))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((hskp23)\/(hskp27)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.16/1.39 do 0 intro. intros zenon_H74 zenon_H54 zenon_H3a zenon_H51 zenon_H4b zenon_H1a2 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H49 zenon_Hc5 zenon_H1b3 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_H193 zenon_H192 zenon_H191 zenon_H230 zenon_H157 zenon_Hd6 zenon_H189 zenon_H177 zenon_H1b7 zenon_Hdd zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H21 zenon_H1f zenon_H1fc zenon_H1fb zenon_H1fa zenon_H146 zenon_H148 zenon_Hcb zenon_H144 zenon_H5 zenon_H1e9 zenon_Hef.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.16/1.39 apply (zenon_L595_); trivial.
% 1.16/1.39 apply (zenon_L596_); trivial.
% 1.16/1.39 (* end of lemma zenon_L597_ *)
% 1.16/1.39 assert (zenon_L598_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp1)) -> ((hskp21)\/((hskp18)\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> ((hskp23)\/(hskp27)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.16/1.39 do 0 intro. intros zenon_H190 zenon_H218 zenon_H54 zenon_H51 zenon_H3e zenon_H4b zenon_H1f zenon_H21 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H49 zenon_Hc5 zenon_Hd zenon_Hf zenon_Hef zenon_Heb zenon_He8 zenon_H92 zenon_H11d zenon_H11b zenon_H223 zenon_H105 zenon_H103 zenon_H10d zenon_Hcb zenon_H7f zenon_H1fc zenon_H1fb zenon_H1fa zenon_H148 zenon_Hdd zenon_H9d zenon_Ha2 zenon_Hae zenon_Hb3 zenon_Hba.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.16/1.39 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.16/1.39 apply (zenon_L55_); trivial.
% 1.16/1.39 apply (zenon_L334_); trivial.
% 1.16/1.39 apply (zenon_L235_); trivial.
% 1.16/1.39 (* end of lemma zenon_L598_ *)
% 1.16/1.39 assert (zenon_L599_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((hskp23)\/(hskp27)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.16/1.39 do 0 intro. intros zenon_H74 zenon_H54 zenon_H9d zenon_H49 zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_H1a2 zenon_H223 zenon_H105 zenon_H103 zenon_H10d zenon_H216 zenon_H11b zenon_H11d zenon_H1b7 zenon_H92 zenon_Hdd zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H21 zenon_H1f zenon_H1fc zenon_H1fb zenon_H1fa zenon_H146 zenon_H148 zenon_Hcb zenon_H144 zenon_H5 zenon_H1e9 zenon_Hef.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.16/1.39 apply (zenon_L595_); trivial.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.16/1.39 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.16/1.39 apply (zenon_L591_); trivial.
% 1.16/1.39 apply (zenon_L580_); trivial.
% 1.16/1.39 apply (zenon_L553_); trivial.
% 1.16/1.39 (* end of lemma zenon_L599_ *)
% 1.16/1.39 assert (zenon_L600_ : ((ndr1_0)/\((c3_1 (a2528))/\((~(c0_1 (a2528)))/\(~(c1_1 (a2528)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((hskp13)\/(hskp4))) -> (~(hskp4)) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp1)) -> ((hskp21)\/((hskp18)\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((hskp23)\/(hskp27)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp9)\/(hskp4))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534))))))) -> False).
% 1.16/1.39 do 0 intro. intros zenon_H1d1 zenon_H12e zenon_H1bc zenon_H230 zenon_H177 zenon_H29f zenon_H5f zenon_H298 zenon_H297 zenon_H296 zenon_H190 zenon_H218 zenon_H54 zenon_H51 zenon_H3e zenon_H4b zenon_H1f zenon_H21 zenon_H49 zenon_Hc5 zenon_Hd zenon_Hf zenon_Hef zenon_Heb zenon_H92 zenon_H11d zenon_H223 zenon_Hcb zenon_H7f zenon_H1fc zenon_H1fb zenon_H1fa zenon_H148 zenon_Hdd zenon_H9d zenon_Ha2 zenon_Hae zenon_Hb3 zenon_Hba zenon_H1e9 zenon_H144 zenon_H2b4 zenon_H1b7 zenon_H216 zenon_H1a2 zenon_H241 zenon_H227 zenon_H226 zenon_H225 zenon_H74 zenon_H6f zenon_Hb9 zenon_H101 zenon_H1d5.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.16/1.39 apply (zenon_L529_); trivial.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.16/1.39 apply (zenon_L598_); trivial.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.16/1.39 apply (zenon_L599_); trivial.
% 1.16/1.39 apply (zenon_L370_); trivial.
% 1.16/1.39 apply (zenon_L50_); trivial.
% 1.16/1.39 apply (zenon_L561_); trivial.
% 1.16/1.39 (* end of lemma zenon_L600_ *)
% 1.16/1.39 assert (zenon_L601_ : ((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((hskp13)\/(hskp4))) -> False).
% 1.16/1.39 do 0 intro. intros zenon_H12b zenon_H1d5 zenon_Hb9 zenon_H54 zenon_Hd9 zenon_Hd6 zenon_H157 zenon_H241 zenon_H74 zenon_H129 zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H1e9 zenon_H144 zenon_Hef zenon_H1bc zenon_H225 zenon_H226 zenon_H227 zenon_H230 zenon_H177 zenon_H190 zenon_H296 zenon_H297 zenon_H298 zenon_H5f zenon_H29f.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.16/1.39 apply (zenon_L529_); trivial.
% 1.16/1.39 apply (zenon_L359_); trivial.
% 1.16/1.39 (* end of lemma zenon_L601_ *)
% 1.16/1.39 assert (zenon_L602_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> (~(hskp15)) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(c3_1 (a2531))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((hskp23)\/(hskp27)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> (~(hskp1)) -> ((hskp21)\/((hskp18)\/(hskp1))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.16/1.39 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_H63 zenon_H61 zenon_H5f zenon_H1bc zenon_H120 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H177 zenon_H74 zenon_H54 zenon_Hef zenon_H216 zenon_H105 zenon_H103 zenon_H10d zenon_H189 zenon_Hcb zenon_Hdd zenon_Hd zenon_Hf zenon_H148 zenon_H1c7 zenon_H134 zenon_H133 zenon_H132 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_Hae zenon_H49 zenon_H122 zenon_H121 zenon_H2b4 zenon_Hb3 zenon_H241 zenon_H227 zenon_H226 zenon_H225 zenon_Hba.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.16/1.39 apply (zenon_L571_); trivial.
% 1.16/1.39 apply (zenon_L395_); trivial.
% 1.16/1.39 (* end of lemma zenon_L602_ *)
% 1.16/1.39 assert (zenon_L603_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2539))) -> (~(c2_1 (a2539))) -> (c3_1 (a2539)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(c3_1 (a2531))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((hskp23)\/(hskp27)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> (~(hskp1)) -> ((hskp21)\/((hskp18)\/(hskp1))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.16/1.39 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_H18b zenon_H163 zenon_H191 zenon_H192 zenon_H193 zenon_H1b3 zenon_H174 zenon_Ha2 zenon_H1bc zenon_H120 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H177 zenon_H74 zenon_H54 zenon_Hef zenon_H216 zenon_H105 zenon_H103 zenon_H10d zenon_H189 zenon_Hcb zenon_Hdd zenon_Hd zenon_Hf zenon_H148 zenon_H1c7 zenon_H134 zenon_H133 zenon_H132 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_Hae zenon_H49 zenon_H122 zenon_H121 zenon_H2b4 zenon_Hb3 zenon_H241 zenon_H227 zenon_H226 zenon_H225 zenon_Hba.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.16/1.39 apply (zenon_L571_); trivial.
% 1.16/1.39 apply (zenon_L411_); trivial.
% 1.16/1.39 (* end of lemma zenon_L603_ *)
% 1.16/1.39 assert (zenon_L604_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (~(c1_1 (a2521))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (ndr1_0) -> (~(c1_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c3_1 (a2533))) -> (~(hskp19)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> False).
% 1.16/1.39 do 0 intro. intros zenon_Hb3 zenon_H1e5 zenon_H261 zenon_H263 zenon_H262 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1ea zenon_H12 zenon_H2a5 zenon_H2a6 zenon_H2a7 zenon_H3 zenon_H1c7.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.16/1.39 apply (zenon_L534_); trivial.
% 1.16/1.39 apply (zenon_L421_); trivial.
% 1.16/1.39 (* end of lemma zenon_L604_ *)
% 1.16/1.39 assert (zenon_L605_ : ((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(hskp21)) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> False).
% 1.16/1.39 do 0 intro. intros zenon_H8d zenon_H1b7 zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H1a2 zenon_H9 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H12. zenon_intro zenon_H8f.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H84. zenon_intro zenon_H90.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H82. zenon_intro zenon_H83.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1b2 ].
% 1.16/1.39 apply (zenon_L552_); trivial.
% 1.16/1.39 apply (zenon_L432_); trivial.
% 1.16/1.39 (* end of lemma zenon_L605_ *)
% 1.16/1.39 assert (zenon_L606_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(hskp21)) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> (ndr1_0) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> (~(hskp20)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> False).
% 1.16/1.39 do 0 intro. intros zenon_H92 zenon_H1b7 zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H1a2 zenon_H9 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_H12 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H77 zenon_H1e0.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.16/1.39 apply (zenon_L177_); trivial.
% 1.16/1.39 apply (zenon_L605_); trivial.
% 1.16/1.39 (* end of lemma zenon_L606_ *)
% 1.16/1.39 assert (zenon_L607_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (~(hskp20)) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (ndr1_0) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> False).
% 1.16/1.39 do 0 intro. intros zenon_H54 zenon_H1f zenon_H21 zenon_H1e0 zenon_H77 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H12 zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H1a2 zenon_H261 zenon_H262 zenon_H263 zenon_H223 zenon_H1b7 zenon_H92.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.16/1.39 apply (zenon_L606_); trivial.
% 1.16/1.39 apply (zenon_L553_); trivial.
% 1.16/1.39 (* end of lemma zenon_L607_ *)
% 1.16/1.39 assert (zenon_L608_ : ((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> False).
% 1.16/1.39 do 0 intro. intros zenon_H71 zenon_Hb3 zenon_H1ea zenon_H92 zenon_H1b7 zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H1a2 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e0 zenon_H21 zenon_H1f zenon_H54.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.16/1.39 apply (zenon_L607_); trivial.
% 1.16/1.39 apply (zenon_L196_); trivial.
% 1.16/1.39 (* end of lemma zenon_L608_ *)
% 1.16/1.39 assert (zenon_L609_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c1_1 (a2533))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.16/1.39 do 0 intro. intros zenon_Hfe zenon_H74 zenon_H92 zenon_H1b7 zenon_H223 zenon_H1a2 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_H1e0 zenon_H21 zenon_H1f zenon_H54 zenon_H1c7 zenon_H2a7 zenon_H2a6 zenon_H2a5 zenon_H1ea zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H262 zenon_H263 zenon_H261 zenon_H1e5 zenon_Hb3.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.16/1.39 apply (zenon_L604_); trivial.
% 1.16/1.39 apply (zenon_L608_); trivial.
% 1.16/1.39 (* end of lemma zenon_L609_ *)
% 1.16/1.39 assert (zenon_L610_ : ((~(hskp12))\/((ndr1_0)/\((~(c1_1 (a2533)))/\((~(c2_1 (a2533)))/\(~(c3_1 (a2533))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((hskp23)\/(hskp27)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> (ndr1_0) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp12))) -> False).
% 1.16/1.39 do 0 intro. intros zenon_H2ae zenon_H101 zenon_H74 zenon_H1b7 zenon_H223 zenon_H1a2 zenon_H2b4 zenon_H3e zenon_H21 zenon_H1f zenon_H54 zenon_H1c7 zenon_Hef zenon_Heb zenon_H1e0 zenon_Hcb zenon_H114 zenon_H12f zenon_Hdd zenon_H92 zenon_H1ea zenon_H262 zenon_H263 zenon_H261 zenon_H1e5 zenon_Hb3 zenon_H12 zenon_H296 zenon_H297 zenon_H298 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H2a3.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.16/1.39 apply (zenon_L532_); trivial.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.16/1.39 apply (zenon_L422_); trivial.
% 1.16/1.39 apply (zenon_L609_); trivial.
% 1.16/1.39 (* end of lemma zenon_L610_ *)
% 1.16/1.39 assert (zenon_L611_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.16/1.39 do 0 intro. intros zenon_H190 zenon_Hb3 zenon_Hfc zenon_Hd zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H92 zenon_H12f zenon_H114 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e0 zenon_H18b zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H144 zenon_H5 zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_Ha2 zenon_Hef.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.16/1.39 apply (zenon_L474_); trivial.
% 1.16/1.39 apply (zenon_L204_); trivial.
% 1.16/1.39 (* end of lemma zenon_L611_ *)
% 1.16/1.39 assert (zenon_L612_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp13)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> False).
% 1.16/1.39 do 0 intro. intros zenon_Hb6 zenon_Hb3 zenon_H1e5 zenon_H1ea zenon_H92 zenon_H1b7 zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H1a2 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e0 zenon_H27a zenon_H9d zenon_H49 zenon_H157 zenon_Hd6 zenon_H152 zenon_H8b zenon_H8e zenon_H177 zenon_Ha2 zenon_H54.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.16/1.39 apply (zenon_L606_); trivial.
% 1.16/1.39 apply (zenon_L438_); trivial.
% 1.16/1.39 apply (zenon_L421_); trivial.
% 1.16/1.39 (* end of lemma zenon_L612_ *)
% 1.16/1.39 assert (zenon_L613_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (~(hskp20)) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (ndr1_0) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> False).
% 1.16/1.39 do 0 intro. intros zenon_H54 zenon_Hd9 zenon_H66 zenon_H67 zenon_H68 zenon_Hd6 zenon_H157 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H1e0 zenon_H77 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H12 zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H1a2 zenon_H261 zenon_H262 zenon_H263 zenon_H223 zenon_H1b7 zenon_H92.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.16/1.39 apply (zenon_L606_); trivial.
% 1.16/1.39 apply (zenon_L134_); trivial.
% 1.16/1.39 (* end of lemma zenon_L613_ *)
% 1.16/1.39 assert (zenon_L614_ : ((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> False).
% 1.16/1.39 do 0 intro. intros zenon_H71 zenon_Hb3 zenon_H1ea zenon_H92 zenon_H1b7 zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H1a2 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e0 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H157 zenon_Hd6 zenon_H68 zenon_H67 zenon_H66 zenon_Hd9 zenon_H54.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.16/1.39 apply (zenon_L613_); trivial.
% 1.16/1.39 apply (zenon_L196_); trivial.
% 1.16/1.39 (* end of lemma zenon_L614_ *)
% 1.16/1.39 assert (zenon_L615_ : ((~(hskp12))\/((ndr1_0)/\((~(c1_1 (a2533)))/\((~(c2_1 (a2533)))/\(~(c3_1 (a2533))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (~(c1_1 (a2521))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp23)\/(hskp27)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> (ndr1_0) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp12))) -> False).
% 1.16/1.39 do 0 intro. intros zenon_H2ae zenon_H1d5 zenon_H74 zenon_Hd9 zenon_H1c7 zenon_Hb3 zenon_H1e5 zenon_H261 zenon_H263 zenon_H262 zenon_H1ea zenon_H92 zenon_Hdd zenon_H12f zenon_H114 zenon_Hcb zenon_H1e0 zenon_Heb zenon_Hef zenon_H190 zenon_Hfc zenon_Hd zenon_H18b zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_H144 zenon_H27a zenon_Ha2 zenon_H54 zenon_H177 zenon_H8e zenon_H152 zenon_Hd6 zenon_H157 zenon_H49 zenon_H9d zenon_H3e zenon_H2b4 zenon_H1a2 zenon_H223 zenon_H1b7 zenon_Hb9 zenon_H101 zenon_H12 zenon_H296 zenon_H297 zenon_H298 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H2a3.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.16/1.39 apply (zenon_L532_); trivial.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.16/1.39 apply (zenon_L422_); trivial.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.16/1.39 apply (zenon_L611_); trivial.
% 1.16/1.39 apply (zenon_L612_); trivial.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.16/1.39 apply (zenon_L422_); trivial.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.16/1.39 apply (zenon_L611_); trivial.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.16/1.39 apply (zenon_L535_); trivial.
% 1.16/1.39 apply (zenon_L614_); trivial.
% 1.16/1.39 (* end of lemma zenon_L615_ *)
% 1.16/1.39 assert (zenon_L616_ : (forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))) -> (ndr1_0) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> False).
% 1.16/1.39 do 0 intro. intros zenon_H3f zenon_H12 zenon_Ha3 zenon_H261 zenon_H262 zenon_H263.
% 1.16/1.39 generalize (zenon_H3f (a2521)). zenon_intro zenon_H2b6.
% 1.16/1.39 apply (zenon_imply_s _ _ zenon_H2b6); [ zenon_intro zenon_H11 | zenon_intro zenon_H2b7 ].
% 1.16/1.39 exact (zenon_H11 zenon_H12).
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H270 | zenon_intro zenon_H266 ].
% 1.16/1.39 apply (zenon_L425_); trivial.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H269 | zenon_intro zenon_H268 ].
% 1.16/1.39 exact (zenon_H269 zenon_H262).
% 1.16/1.39 exact (zenon_H268 zenon_H263).
% 1.16/1.39 (* end of lemma zenon_L616_ *)
% 1.16/1.39 assert (zenon_L617_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2528)) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31)))))) -> (~(c0_1 (a2528))) -> (c1_1 (a2551)) -> (c0_1 (a2551)) -> (~(c2_1 (a2551))) -> (forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25)))))) -> (ndr1_0) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> False).
% 1.16/1.39 do 0 intro. intros zenon_H216 zenon_H105 zenon_H102 zenon_H103 zenon_H16 zenon_H15 zenon_H14 zenon_Hcc zenon_H12 zenon_Ha3 zenon_H261 zenon_H262 zenon_H263.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H217 ].
% 1.16/1.39 apply (zenon_L183_); trivial.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H14a | zenon_intro zenon_H3f ].
% 1.16/1.39 apply (zenon_L129_); trivial.
% 1.16/1.39 apply (zenon_L616_); trivial.
% 1.16/1.39 (* end of lemma zenon_L617_ *)
% 1.16/1.39 assert (zenon_L618_ : ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> (c0_1 (a2564)) -> (~(c2_1 (a2564))) -> (~(c1_1 (a2564))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (ndr1_0) -> (~(c2_1 (a2551))) -> (c0_1 (a2551)) -> (c1_1 (a2551)) -> (~(c0_1 (a2528))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31)))))) -> (c3_1 (a2528)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(hskp7)) -> False).
% 1.16/1.39 do 0 intro. intros zenon_H12f zenon_H84 zenon_H83 zenon_H82 zenon_H263 zenon_H262 zenon_H261 zenon_Ha3 zenon_H12 zenon_H14 zenon_H15 zenon_H16 zenon_H103 zenon_H102 zenon_H105 zenon_H216 zenon_H114.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H81 | zenon_intro zenon_H130 ].
% 1.16/1.39 apply (zenon_L39_); trivial.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_Hcc | zenon_intro zenon_H115 ].
% 1.16/1.39 apply (zenon_L617_); trivial.
% 1.16/1.39 exact (zenon_H114 zenon_H115).
% 1.16/1.39 (* end of lemma zenon_L618_ *)
% 1.16/1.39 assert (zenon_L619_ : ((~(hskp12))\/((ndr1_0)/\((~(c1_1 (a2533)))/\((~(c2_1 (a2533)))/\(~(c3_1 (a2533))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(c1_1 (a2528))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((hskp23)\/(hskp27)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> (ndr1_0) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp12))) -> False).
% 1.16/1.39 do 0 intro. intros zenon_H2ae zenon_H101 zenon_Hb9 zenon_H1c7 zenon_H54 zenon_H103 zenon_H105 zenon_H216 zenon_H10d zenon_H11b zenon_H11d zenon_H49 zenon_H9d zenon_H3e zenon_H2b4 zenon_H1a2 zenon_H223 zenon_H1b7 zenon_H74 zenon_Ha2 zenon_H27a zenon_H144 zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_H18b zenon_Hd zenon_Hfc zenon_H190 zenon_Hef zenon_Heb zenon_H1e0 zenon_Hcb zenon_H114 zenon_H12f zenon_Hdd zenon_H92 zenon_H1ea zenon_H262 zenon_H263 zenon_H261 zenon_H1e5 zenon_Hb3 zenon_H12 zenon_H296 zenon_H297 zenon_H298 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H2a3.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.16/1.39 apply (zenon_L532_); trivial.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.16/1.39 apply (zenon_L422_); trivial.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.16/1.39 apply (zenon_L611_); trivial.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.16/1.39 apply (zenon_L535_); trivial.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.16/1.39 apply (zenon_L606_); trivial.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.16/1.39 apply (zenon_L437_); trivial.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.16/1.39 apply (zenon_L44_); trivial.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H12. zenon_intro zenon_H8f.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H84. zenon_intro zenon_H90.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H82. zenon_intro zenon_H83.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hfd ].
% 1.16/1.39 apply (zenon_L71_); trivial.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Ha3 | zenon_intro zenon_He ].
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H102 | zenon_intro zenon_H11e ].
% 1.16/1.39 apply (zenon_L618_); trivial.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H118 | zenon_intro zenon_H11c ].
% 1.16/1.39 apply (zenon_L362_); trivial.
% 1.16/1.39 exact (zenon_H11b zenon_H11c).
% 1.16/1.39 exact (zenon_Hd zenon_He).
% 1.16/1.39 apply (zenon_L186_); trivial.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.16/1.39 apply (zenon_L606_); trivial.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.16/1.39 apply (zenon_L120_); trivial.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.16/1.39 apply (zenon_L44_); trivial.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H12. zenon_intro zenon_H8f.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H84. zenon_intro zenon_H90.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H82. zenon_intro zenon_H83.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hfd ].
% 1.16/1.39 apply (zenon_L71_); trivial.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Ha3 | zenon_intro zenon_He ].
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H102 | zenon_intro zenon_H11e ].
% 1.16/1.39 apply (zenon_L618_); trivial.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H118 | zenon_intro zenon_H11c ].
% 1.16/1.39 apply (zenon_L115_); trivial.
% 1.16/1.39 exact (zenon_H11b zenon_H11c).
% 1.16/1.39 exact (zenon_Hd zenon_He).
% 1.16/1.39 apply (zenon_L72_); trivial.
% 1.16/1.39 (* end of lemma zenon_L619_ *)
% 1.16/1.39 assert (zenon_L620_ : ((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c2_1 (a2549)) -> (~(c1_1 (a2549))) -> (~(c0_1 (a2549))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> False).
% 1.16/1.39 do 0 intro. intros zenon_H9f zenon_H2b4 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H298 zenon_H297 zenon_H296 zenon_H1f3 zenon_Ha6 zenon_Ha5 zenon_Ha4 zenon_H122 zenon_H121.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H2b5 ].
% 1.16/1.39 apply (zenon_L71_); trivial.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H295 | zenon_intro zenon_H2d ].
% 1.16/1.39 apply (zenon_L528_); trivial.
% 1.16/1.39 apply (zenon_L397_); trivial.
% 1.16/1.39 (* end of lemma zenon_L620_ *)
% 1.16/1.39 assert (zenon_L621_ : ((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> False).
% 1.16/1.39 do 0 intro. intros zenon_Had zenon_Ha2 zenon_H2b4 zenon_H121 zenon_H122 zenon_H1f3 zenon_H298 zenon_H297 zenon_H296 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H261 zenon_H262 zenon_H263 zenon_H66 zenon_H67 zenon_H68 zenon_H27a.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.16/1.39 apply (zenon_L437_); trivial.
% 1.16/1.39 apply (zenon_L620_); trivial.
% 1.16/1.39 (* end of lemma zenon_L621_ *)
% 1.16/1.39 assert (zenon_L622_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (ndr1_0) -> (~(c1_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c3_1 (a2533))) -> (~(hskp19)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> False).
% 1.16/1.39 do 0 intro. intros zenon_Hb3 zenon_Ha2 zenon_H2b4 zenon_H121 zenon_H122 zenon_H1f3 zenon_H298 zenon_H297 zenon_H296 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H261 zenon_H262 zenon_H263 zenon_H66 zenon_H67 zenon_H68 zenon_H27a zenon_H12 zenon_H2a5 zenon_H2a6 zenon_H2a7 zenon_H3 zenon_H1c7.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.16/1.39 apply (zenon_L534_); trivial.
% 1.16/1.39 apply (zenon_L621_); trivial.
% 1.16/1.39 (* end of lemma zenon_L622_ *)
% 1.16/1.39 assert (zenon_L623_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp23)\/(hskp27)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c1_1 (a2533))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.16/1.39 do 0 intro. intros zenon_H74 zenon_Hfc zenon_Hd zenon_H92 zenon_H1b7 zenon_H223 zenon_H1a2 zenon_H3e zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e0 zenon_H49 zenon_H9d zenon_H7f zenon_Hcb zenon_H114 zenon_H12f zenon_Hdd zenon_H189 zenon_H10d zenon_H103 zenon_H105 zenon_H148 zenon_H146 zenon_H134 zenon_H133 zenon_H132 zenon_H216 zenon_Hef zenon_H54 zenon_H1c7 zenon_H2a7 zenon_H2a6 zenon_H2a5 zenon_H12 zenon_H27a zenon_H68 zenon_H67 zenon_H66 zenon_H263 zenon_H262 zenon_H261 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_H1f3 zenon_H122 zenon_H121 zenon_H2b4 zenon_Ha2 zenon_Hb3.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.16/1.39 apply (zenon_L622_); trivial.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.16/1.39 apply (zenon_L606_); trivial.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.16/1.39 apply (zenon_L92_); trivial.
% 1.16/1.39 apply (zenon_L564_); trivial.
% 1.16/1.39 apply (zenon_L72_); trivial.
% 1.16/1.39 (* end of lemma zenon_L623_ *)
% 1.16/1.39 assert (zenon_L624_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(c1_1 (a2541))) -> (~(c2_1 (a2541))) -> (c3_1 (a2541)) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (ndr1_0) -> (~(c1_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c3_1 (a2533))) -> (~(hskp19)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> False).
% 1.16/1.39 do 0 intro. intros zenon_Hb3 zenon_Ha2 zenon_H177 zenon_H1f3 zenon_H1b3 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1ea zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H180 zenon_H181 zenon_H182 zenon_H66 zenon_H67 zenon_H68 zenon_H18b zenon_H12 zenon_H2a5 zenon_H2a6 zenon_H2a7 zenon_H3 zenon_H1c7.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.16/1.39 apply (zenon_L534_); trivial.
% 1.16/1.39 apply (zenon_L210_); trivial.
% 1.16/1.39 (* end of lemma zenon_L624_ *)
% 1.16/1.39 assert (zenon_L625_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> (~(hskp6)) -> ((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/((hskp6)\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c1_1 (a2533))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.16/1.39 do 0 intro. intros zenon_H18d zenon_H74 zenon_Hc5 zenon_H49 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H1 zenon_Hf0 zenon_H51 zenon_H1c7 zenon_H2a7 zenon_H2a6 zenon_H2a5 zenon_H18b zenon_H68 zenon_H67 zenon_H66 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H1ea zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H1b3 zenon_H1f3 zenon_H177 zenon_Ha2 zenon_Hb3.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.16/1.39 apply (zenon_L624_); trivial.
% 1.16/1.39 apply (zenon_L536_); trivial.
% 1.16/1.39 (* end of lemma zenon_L625_ *)
% 1.16/1.39 assert (zenon_L626_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp18)) -> (~(hskp1)) -> ((hskp21)\/((hskp18)\/(hskp1))) -> False).
% 1.16/1.39 do 0 intro. intros zenon_H54 zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H1f zenon_H21 zenon_Hb zenon_Hd zenon_Hf.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.16/1.39 apply (zenon_L8_); trivial.
% 1.16/1.39 apply (zenon_L553_); trivial.
% 1.16/1.39 (* end of lemma zenon_L626_ *)
% 1.16/1.39 assert (zenon_L627_ : ((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> (~(hskp16)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp13)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> False).
% 1.16/1.39 do 0 intro. intros zenon_Hb2 zenon_H54 zenon_H92 zenon_H1b7 zenon_H223 zenon_H263 zenon_H1a2 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_H7f zenon_H1fc zenon_H1fb zenon_H1fa zenon_Hae zenon_H49 zenon_H262 zenon_H261 zenon_H5 zenon_H144 zenon_H9d zenon_H8b zenon_H8e zenon_Ha2.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.16/1.39 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.16/1.39 apply (zenon_L428_); trivial.
% 1.16/1.39 apply (zenon_L605_); trivial.
% 1.16/1.39 apply (zenon_L45_); trivial.
% 1.16/1.39 apply (zenon_L46_); trivial.
% 1.16/1.39 (* end of lemma zenon_L627_ *)
% 1.16/1.39 assert (zenon_L628_ : ((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(hskp21)) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> False).
% 1.16/1.39 do 0 intro. intros zenon_H9f zenon_H92 zenon_H1b7 zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H1a2 zenon_H9 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_H49 zenon_H9d.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.16/1.39 apply (zenon_L44_); trivial.
% 1.16/1.39 apply (zenon_L605_); trivial.
% 1.16/1.39 (* end of lemma zenon_L628_ *)
% 1.16/1.39 assert (zenon_L629_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(hskp21)) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (ndr1_0) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> False).
% 1.16/1.39 do 0 intro. intros zenon_Ha2 zenon_H92 zenon_H1b7 zenon_H223 zenon_H1a2 zenon_H9 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_H49 zenon_H9d zenon_H12 zenon_H261 zenon_H262 zenon_H263 zenon_H66 zenon_H67 zenon_H68 zenon_H27a.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.16/1.39 apply (zenon_L437_); trivial.
% 1.16/1.39 apply (zenon_L628_); trivial.
% 1.16/1.39 (* end of lemma zenon_L629_ *)
% 1.16/1.39 assert (zenon_L630_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> False).
% 1.16/1.39 do 0 intro. intros zenon_Hb6 zenon_H54 zenon_H1f zenon_H21 zenon_H27a zenon_H263 zenon_H262 zenon_H261 zenon_H9d zenon_H49 zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H1a2 zenon_H223 zenon_H1b7 zenon_H92 zenon_Ha2.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.16/1.39 apply (zenon_L629_); trivial.
% 1.16/1.39 apply (zenon_L553_); trivial.
% 1.16/1.39 (* end of lemma zenon_L630_ *)
% 1.16/1.39 assert (zenon_L631_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp1)) -> ((hskp21)\/((hskp18)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (~(hskp3)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (c3_1 (a2521)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.16/1.39 do 0 intro. intros zenon_Hfe zenon_Hb9 zenon_H27a zenon_H54 zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_H1f zenon_H21 zenon_Hd zenon_Hf zenon_Ha2 zenon_H8e zenon_H8b zenon_H9d zenon_H144 zenon_H261 zenon_H262 zenon_H49 zenon_Hae zenon_H1fa zenon_H1fb zenon_H1fc zenon_H7f zenon_H1a2 zenon_H263 zenon_H223 zenon_H1b7 zenon_H92 zenon_Hba.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.16/1.39 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.16/1.39 apply (zenon_L626_); trivial.
% 1.16/1.39 apply (zenon_L627_); trivial.
% 1.16/1.39 apply (zenon_L630_); trivial.
% 1.16/1.39 (* end of lemma zenon_L631_ *)
% 1.16/1.39 assert (zenon_L632_ : ((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (~(c0_1 (a2545))) -> (c1_1 (a2545)) -> (c2_1 (a2545)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> False).
% 1.16/1.39 do 0 intro. intros zenon_H50 zenon_Ha2 zenon_H92 zenon_H177 zenon_H1f3 zenon_H56 zenon_H57 zenon_H58 zenon_Hae zenon_H1fb zenon_H1fc zenon_H1fa zenon_H148 zenon_H146 zenon_H223 zenon_H1b3 zenon_H152 zenon_Hd6 zenon_H157 zenon_H49 zenon_H9d zenon_H261 zenon_H262 zenon_H263 zenon_H66 zenon_H67 zenon_H68 zenon_H27a.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.16/1.39 apply (zenon_L437_); trivial.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.16/1.39 apply (zenon_L44_); trivial.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H12. zenon_intro zenon_H8f.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H84. zenon_intro zenon_H90.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H82. zenon_intro zenon_H83.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.16/1.39 apply (zenon_L105_); trivial.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H1f4 ].
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H102 | zenon_intro zenon_H1b6 ].
% 1.16/1.39 apply (zenon_L502_); trivial.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H93 | zenon_intro zenon_H14a ].
% 1.16/1.39 apply (zenon_L426_); trivial.
% 1.16/1.39 apply (zenon_L454_); trivial.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H55 | zenon_intro zenon_H93 ].
% 1.16/1.39 apply (zenon_L114_); trivial.
% 1.16/1.39 apply (zenon_L427_); trivial.
% 1.16/1.39 (* end of lemma zenon_L632_ *)
% 1.16/1.39 assert (zenon_L633_ : ((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> False).
% 1.16/1.39 do 0 intro. intros zenon_Hb2 zenon_H54 zenon_H177 zenon_H1f3 zenon_Hae zenon_H1fb zenon_H1fc zenon_H1fa zenon_H148 zenon_H146 zenon_H1b3 zenon_H152 zenon_Hd6 zenon_H157 zenon_H27a zenon_H68 zenon_H67 zenon_H66 zenon_H263 zenon_H262 zenon_H261 zenon_H9d zenon_H49 zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H1a2 zenon_H223 zenon_H1b7 zenon_H92 zenon_Ha2.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.16/1.39 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.16/1.39 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.16/1.39 apply (zenon_L629_); trivial.
% 1.16/1.39 apply (zenon_L632_); trivial.
% 1.16/1.39 (* end of lemma zenon_L633_ *)
% 1.16/1.39 assert (zenon_L634_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> (ndr1_0) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (c3_1 (a2526)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (~(hskp6)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> False).
% 1.25/1.39 do 0 intro. intros zenon_Hba zenon_H54 zenon_H177 zenon_H1f3 zenon_Hae zenon_H148 zenon_H146 zenon_H1b3 zenon_H152 zenon_Hd6 zenon_H157 zenon_H27a zenon_H68 zenon_H67 zenon_H66 zenon_H263 zenon_H262 zenon_H261 zenon_H9d zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H1a2 zenon_H223 zenon_H1b7 zenon_H92 zenon_Ha2 zenon_Hc5 zenon_H49 zenon_H12 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H133 zenon_H132 zenon_H134 zenon_H20d zenon_H1 zenon_H203 zenon_H51.
% 1.25/1.39 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.25/1.39 apply (zenon_L221_); trivial.
% 1.25/1.39 apply (zenon_L633_); trivial.
% 1.25/1.39 (* end of lemma zenon_L634_ *)
% 1.25/1.39 assert (zenon_L635_ : ((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(hskp13)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> False).
% 1.25/1.39 do 0 intro. intros zenon_Hb2 zenon_H54 zenon_H7f zenon_H8b zenon_H8e zenon_H27a zenon_H68 zenon_H67 zenon_H66 zenon_H263 zenon_H262 zenon_H261 zenon_H9d zenon_H49 zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H1a2 zenon_H223 zenon_H1b7 zenon_H92 zenon_Ha2.
% 1.25/1.39 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.25/1.39 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.25/1.39 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.25/1.39 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.39 apply (zenon_L629_); trivial.
% 1.25/1.39 apply (zenon_L46_); trivial.
% 1.25/1.39 (* end of lemma zenon_L635_ *)
% 1.25/1.39 assert (zenon_L636_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(hskp13)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((hskp21)\/((hskp18)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> False).
% 1.25/1.39 do 0 intro. intros zenon_H18d zenon_Hba zenon_H7f zenon_H8b zenon_H8e zenon_H27a zenon_H263 zenon_H262 zenon_H261 zenon_H9d zenon_H49 zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H1a2 zenon_H223 zenon_H1b7 zenon_H92 zenon_Ha2 zenon_Hf zenon_Hd zenon_H177 zenon_H174 zenon_H163 zenon_H66 zenon_H67 zenon_H68 zenon_H152 zenon_Hd6 zenon_H157 zenon_H189 zenon_Hef zenon_H54.
% 1.25/1.39 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.25/1.39 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.25/1.39 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.25/1.39 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.25/1.39 apply (zenon_L119_); trivial.
% 1.25/1.39 apply (zenon_L635_); trivial.
% 1.25/1.39 (* end of lemma zenon_L636_ *)
% 1.25/1.39 assert (zenon_L637_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(hskp13)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> ((hskp21)\/((hskp18)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c3_1 (a2526)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.25/1.39 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_H7f zenon_H8b zenon_H8e zenon_Hf zenon_Hd zenon_H174 zenon_H163 zenon_H189 zenon_Hef zenon_H51 zenon_H203 zenon_H1 zenon_H20d zenon_H134 zenon_H132 zenon_H133 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H49 zenon_Hc5 zenon_Ha2 zenon_H92 zenon_H1b7 zenon_H223 zenon_H1a2 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_H9d zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_H157 zenon_Hd6 zenon_H152 zenon_H1b3 zenon_H148 zenon_Hae zenon_H1f3 zenon_H177 zenon_H54 zenon_Hba.
% 1.25/1.39 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.25/1.39 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.25/1.39 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.25/1.39 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.39 apply (zenon_L634_); trivial.
% 1.25/1.39 apply (zenon_L636_); trivial.
% 1.25/1.39 (* end of lemma zenon_L637_ *)
% 1.25/1.40 assert (zenon_L638_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> (ndr1_0) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> False).
% 1.25/1.40 do 0 intro. intros zenon_H54 zenon_H1b3 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H105 zenon_H103 zenon_H10d zenon_H146 zenon_H148 zenon_H27a zenon_H68 zenon_H67 zenon_H66 zenon_H263 zenon_H262 zenon_H261 zenon_H12 zenon_H9d zenon_H49 zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H1a2 zenon_H223 zenon_H1b7 zenon_H92 zenon_Ha2.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.40 apply (zenon_L629_); trivial.
% 1.25/1.40 apply (zenon_L456_); trivial.
% 1.25/1.40 (* end of lemma zenon_L638_ *)
% 1.25/1.40 assert (zenon_L639_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(hskp13)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (c3_1 (a2526)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> False).
% 1.25/1.40 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_Hba zenon_H7f zenon_H8b zenon_H8e zenon_Hc5 zenon_H133 zenon_H132 zenon_H134 zenon_H20d zenon_H216 zenon_H11b zenon_H11d zenon_H51 zenon_Ha2 zenon_H92 zenon_H1b7 zenon_H223 zenon_H1a2 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_H49 zenon_H9d zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_H148 zenon_H10d zenon_H103 zenon_H105 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H1b3 zenon_H54.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.40 apply (zenon_L638_); trivial.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.25/1.40 apply (zenon_L232_); trivial.
% 1.25/1.40 apply (zenon_L635_); trivial.
% 1.25/1.40 (* end of lemma zenon_L639_ *)
% 1.25/1.40 assert (zenon_L640_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c3_1 (a2526)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (ndr1_0) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((hskp23)\/(hskp27)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((hskp6)\/((hskp19)\/(hskp16))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(c1_1 (a2528))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> False).
% 1.25/1.40 do 0 intro. intros zenon_H1d5 zenon_H190 zenon_H11d zenon_H11b zenon_H103 zenon_H105 zenon_H218 zenon_H51 zenon_H203 zenon_H1 zenon_H20d zenon_H134 zenon_H132 zenon_H133 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H12 zenon_H49 zenon_Hc5 zenon_Hef zenon_Heb zenon_Hcb zenon_H148 zenon_Hdd zenon_H1f3 zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_Ha2 zenon_Hb3 zenon_Hba zenon_H74 zenon_H54 zenon_H8e zenon_H92 zenon_H1b7 zenon_H223 zenon_H3e zenon_H3a zenon_H1a2 zenon_H7f zenon_Hae zenon_H9d zenon_H7 zenon_H216 zenon_H144 zenon_H1b3 zenon_H10d zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_Hb9 zenon_H101.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.40 apply (zenon_L472_); trivial.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.40 apply (zenon_L474_); trivial.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.25/1.40 apply (zenon_L232_); trivial.
% 1.25/1.40 apply (zenon_L436_); trivial.
% 1.25/1.40 apply (zenon_L639_); trivial.
% 1.25/1.40 apply (zenon_L218_); trivial.
% 1.25/1.40 (* end of lemma zenon_L640_ *)
% 1.25/1.40 assert (zenon_L641_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> False).
% 1.25/1.40 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_H51 zenon_H11d zenon_H11b zenon_H216 zenon_Hbc zenon_Hbd zenon_Hbe zenon_Hc5 zenon_H241 zenon_H227 zenon_H226 zenon_H225 zenon_H27a zenon_H263 zenon_H262 zenon_H261 zenon_H9d zenon_H49 zenon_H148 zenon_H10d zenon_H103 zenon_H105 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H223 zenon_H1b3 zenon_H92 zenon_Ha2 zenon_H54.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.40 apply (zenon_L494_); trivial.
% 1.25/1.40 apply (zenon_L370_); trivial.
% 1.25/1.40 (* end of lemma zenon_L641_ *)
% 1.25/1.40 assert (zenon_L642_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> (~(c1_1 (a2528))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp23)\/(hskp27)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((hskp21)\/((hskp18)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.25/1.40 do 0 intro. intros zenon_Hb9 zenon_H10d zenon_H1b3 zenon_Hba zenon_Hb3 zenon_Hae zenon_He8 zenon_Heb zenon_H54 zenon_H1e9 zenon_Ha2 zenon_H49 zenon_H9d zenon_Hdd zenon_H148 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H7f zenon_Hcb zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H92 zenon_H144 zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_H27a zenon_Hef zenon_Hf zenon_Hd zenon_H3e zenon_H3a zenon_H1f zenon_H21 zenon_H4b zenon_H51 zenon_H74 zenon_Hc5 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H216 zenon_H105 zenon_H103 zenon_H11b zenon_H11d zenon_H190.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.40 apply (zenon_L493_); trivial.
% 1.25/1.40 apply (zenon_L370_); trivial.
% 1.25/1.40 apply (zenon_L641_); trivial.
% 1.25/1.40 (* end of lemma zenon_L642_ *)
% 1.25/1.40 assert (zenon_L643_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp23)\/(hskp27)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp16)) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.25/1.40 do 0 intro. intros zenon_H54 zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H1f zenon_H21 zenon_Ha2 zenon_H49 zenon_H9d zenon_Hdd zenon_H148 zenon_H146 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H7f zenon_Hcb zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H92 zenon_H144 zenon_H5 zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_H27a zenon_Hef.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.40 apply (zenon_L489_); trivial.
% 1.25/1.40 apply (zenon_L553_); trivial.
% 1.25/1.40 (* end of lemma zenon_L643_ *)
% 1.25/1.40 assert (zenon_L644_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp23)\/(hskp27)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.25/1.40 do 0 intro. intros zenon_Hfe zenon_Hb9 zenon_H1a2 zenon_H1b7 zenon_H54 zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_H1f zenon_H21 zenon_Ha2 zenon_H49 zenon_H9d zenon_Hdd zenon_H148 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H7f zenon_Hcb zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H92 zenon_H144 zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_H27a zenon_Hef zenon_Hc5 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H216 zenon_H105 zenon_H103 zenon_H11b zenon_H11d zenon_H51 zenon_H190.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.40 apply (zenon_L643_); trivial.
% 1.25/1.40 apply (zenon_L370_); trivial.
% 1.25/1.40 apply (zenon_L630_); trivial.
% 1.25/1.40 (* end of lemma zenon_L644_ *)
% 1.25/1.40 assert (zenon_L645_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp23)\/(hskp27)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.25/1.40 do 0 intro. intros zenon_Hfe zenon_Hb9 zenon_H54 zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_H1f zenon_H21 zenon_Ha2 zenon_H49 zenon_H9d zenon_Hdd zenon_H148 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H7f zenon_Hcb zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H92 zenon_H144 zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_H27a zenon_Hef zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H230 zenon_H177 zenon_H190.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.40 apply (zenon_L643_); trivial.
% 1.25/1.40 apply (zenon_L343_); trivial.
% 1.25/1.40 apply (zenon_L556_); trivial.
% 1.25/1.40 (* end of lemma zenon_L645_ *)
% 1.25/1.40 assert (zenon_L646_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> (~(c1_1 (a2528))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.25/1.40 do 0 intro. intros zenon_Hfe zenon_Hb9 zenon_H10d zenon_H1b3 zenon_Hef zenon_Ha2 zenon_H27a zenon_H263 zenon_H262 zenon_H261 zenon_H144 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_Hdd zenon_H51 zenon_H11d zenon_H11b zenon_H103 zenon_H105 zenon_H216 zenon_H20d zenon_H1fc zenon_H1fb zenon_H1fa zenon_H49 zenon_Hc5 zenon_H8e zenon_H8b zenon_H9d zenon_Hae zenon_H7f zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_H1a2 zenon_H223 zenon_H1b7 zenon_H92 zenon_H54 zenon_Hba zenon_H190.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.40 apply (zenon_L474_); trivial.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.25/1.40 apply (zenon_L232_); trivial.
% 1.25/1.40 apply (zenon_L627_); trivial.
% 1.25/1.40 apply (zenon_L639_); trivial.
% 1.25/1.40 (* end of lemma zenon_L646_ *)
% 1.25/1.40 assert (zenon_L647_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c2_1 (a2524))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.25/1.40 do 0 intro. intros zenon_H190 zenon_H51 zenon_H11d zenon_H11b zenon_H103 zenon_H105 zenon_H1fa zenon_H1fc zenon_H1fb zenon_H216 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H49 zenon_Hc5 zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H144 zenon_H5 zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_Ha2 zenon_Hef.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.40 apply (zenon_L474_); trivial.
% 1.25/1.40 apply (zenon_L370_); trivial.
% 1.25/1.40 (* end of lemma zenon_L647_ *)
% 1.25/1.40 assert (zenon_L648_ : ((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(c1_1 (a2528))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> (~(c2_1 (a2524))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.25/1.40 do 0 intro. intros zenon_H1b8 zenon_Hb9 zenon_H241 zenon_H227 zenon_H226 zenon_H225 zenon_H9d zenon_H10d zenon_H223 zenon_H1b3 zenon_H92 zenon_H54 zenon_Hef zenon_Ha2 zenon_H27a zenon_H263 zenon_H262 zenon_H261 zenon_H144 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_Hdd zenon_Hc5 zenon_H49 zenon_H216 zenon_H1fb zenon_H1fc zenon_H1fa zenon_H105 zenon_H103 zenon_H11b zenon_H11d zenon_H51 zenon_H190.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.40 apply (zenon_L647_); trivial.
% 1.25/1.40 apply (zenon_L641_); trivial.
% 1.25/1.40 (* end of lemma zenon_L648_ *)
% 1.25/1.40 assert (zenon_L649_ : ((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (~(hskp9)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> False).
% 1.25/1.40 do 0 intro. intros zenon_H39 zenon_H2b4 zenon_H1f zenon_H280 zenon_H281 zenon_H282 zenon_H289 zenon_H298 zenon_H297 zenon_H296.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H12. zenon_intro zenon_H3b.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H2e. zenon_intro zenon_H3c.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H2f. zenon_intro zenon_H30.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H2b5 ].
% 1.25/1.40 apply (zenon_L518_); trivial.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H295 | zenon_intro zenon_H2d ].
% 1.25/1.40 apply (zenon_L528_); trivial.
% 1.25/1.40 apply (zenon_L15_); trivial.
% 1.25/1.40 (* end of lemma zenon_L649_ *)
% 1.25/1.40 assert (zenon_L650_ : ((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> False).
% 1.25/1.40 do 0 intro. intros zenon_H50 zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_H280 zenon_H281 zenon_H282 zenon_H289 zenon_H1f zenon_H21.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H1d | zenon_intro zenon_H39 ].
% 1.25/1.40 apply (zenon_L13_); trivial.
% 1.25/1.40 apply (zenon_L649_); trivial.
% 1.25/1.40 (* end of lemma zenon_L650_ *)
% 1.25/1.40 assert (zenon_L651_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp18)) -> (~(hskp1)) -> ((hskp21)\/((hskp18)\/(hskp1))) -> False).
% 1.25/1.40 do 0 intro. intros zenon_H54 zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_H280 zenon_H281 zenon_H282 zenon_H289 zenon_H1f zenon_H21 zenon_Hb zenon_Hd zenon_Hf.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.40 apply (zenon_L8_); trivial.
% 1.25/1.40 apply (zenon_L650_); trivial.
% 1.25/1.40 (* end of lemma zenon_L651_ *)
% 1.25/1.40 assert (zenon_L652_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp9)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp21)) -> (~(hskp26)) -> ((hskp30)\/((hskp21)\/(hskp26))) -> False).
% 1.25/1.40 do 0 intro. intros zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_H280 zenon_H281 zenon_H282 zenon_H1f zenon_H289 zenon_H9 zenon_H1a0 zenon_H1a2.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H1d | zenon_intro zenon_H39 ].
% 1.25/1.40 apply (zenon_L139_); trivial.
% 1.25/1.40 apply (zenon_L649_); trivial.
% 1.25/1.40 (* end of lemma zenon_L652_ *)
% 1.25/1.40 assert (zenon_L653_ : ((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((hskp23)\/(hskp27)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.25/1.40 do 0 intro. intros zenon_H19a zenon_H54 zenon_H21 zenon_Hdd zenon_H289 zenon_H1f zenon_H282 zenon_H281 zenon_H280 zenon_Hcb zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_H1a2 zenon_H1b3 zenon_Hd6 zenon_H157 zenon_H11b zenon_H11d zenon_H1b7 zenon_Hef.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.40 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.25/1.40 apply (zenon_L515_); trivial.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1b2 ].
% 1.25/1.40 apply (zenon_L652_); trivial.
% 1.25/1.40 apply (zenon_L144_); trivial.
% 1.25/1.40 apply (zenon_L650_); trivial.
% 1.25/1.40 (* end of lemma zenon_L653_ *)
% 1.25/1.40 assert (zenon_L654_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (~(hskp1)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (ndr1_0) -> (~(hskp4)) -> (~(hskp15)) -> False).
% 1.25/1.40 do 0 intro. intros zenon_H2b4 zenon_Hd zenon_H280 zenon_H281 zenon_H282 zenon_H293 zenon_H298 zenon_H297 zenon_H296 zenon_H63 zenon_H122 zenon_H121 zenon_H12 zenon_H5f zenon_H61.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H2b5 ].
% 1.25/1.40 apply (zenon_L522_); trivial.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H295 | zenon_intro zenon_H2d ].
% 1.25/1.40 apply (zenon_L528_); trivial.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H55 | zenon_intro zenon_H64 ].
% 1.25/1.40 apply (zenon_L158_); trivial.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H60 | zenon_intro zenon_H62 ].
% 1.25/1.40 exact (zenon_H5f zenon_H60).
% 1.25/1.40 exact (zenon_H61 zenon_H62).
% 1.25/1.40 (* end of lemma zenon_L654_ *)
% 1.25/1.40 assert (zenon_L655_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (~(hskp1)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a2539)) -> (~(c2_1 (a2539))) -> (~(c0_1 (a2539))) -> (c0_1 (a2553)) -> (~(c3_1 (a2553))) -> (~(c1_1 (a2553))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(c2_1 (a2601))) -> (c3_1 (a2601)) -> (c0_1 (a2601)) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (ndr1_0) -> (~(hskp29)) -> False).
% 1.25/1.40 do 0 intro. intros zenon_H2b4 zenon_Hd zenon_H280 zenon_H281 zenon_H282 zenon_H293 zenon_H298 zenon_H297 zenon_H296 zenon_H1b3 zenon_H193 zenon_H192 zenon_H191 zenon_He1 zenon_He0 zenon_Hdf zenon_H157 zenon_Hd6 zenon_H189 zenon_H1bc zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_H122 zenon_H121 zenon_H120 zenon_H12 zenon_H150.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H2b5 ].
% 1.25/1.40 apply (zenon_L522_); trivial.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H295 | zenon_intro zenon_H2d ].
% 1.25/1.40 apply (zenon_L528_); trivial.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H102 | zenon_intro zenon_H1b6 ].
% 1.25/1.40 apply (zenon_L125_); trivial.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H93 | zenon_intro zenon_H14a ].
% 1.25/1.40 apply (zenon_L558_); trivial.
% 1.25/1.40 apply (zenon_L344_); trivial.
% 1.25/1.40 (* end of lemma zenon_L655_ *)
% 1.25/1.40 assert (zenon_L656_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c3_1 (a2556)) -> (c2_1 (a2556)) -> (c1_1 (a2556)) -> (~(c2_1 (a2601))) -> (c3_1 (a2601)) -> (c0_1 (a2601)) -> (forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))) -> (ndr1_0) -> (~(c1_1 (a2553))) -> (~(c3_1 (a2553))) -> (c0_1 (a2553)) -> False).
% 1.25/1.40 do 0 intro. intros zenon_H189 zenon_H15c zenon_H15b zenon_H15a zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_H14a zenon_H12 zenon_Hdf zenon_He0 zenon_He1.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H55 | zenon_intro zenon_H18a ].
% 1.25/1.40 apply (zenon_L113_); trivial.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H118 | zenon_intro zenon_Hde ].
% 1.25/1.40 apply (zenon_L142_); trivial.
% 1.25/1.40 apply (zenon_L63_); trivial.
% 1.25/1.40 (* end of lemma zenon_L656_ *)
% 1.25/1.40 assert (zenon_L657_ : ((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(c3_1 (a2531))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> (~(c3_1 (a2553))) -> (c0_1 (a2553)) -> (~(c1_1 (a2553))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c3_1 (a2539)) -> (~(c2_1 (a2539))) -> (~(c0_1 (a2539))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> False).
% 1.25/1.40 do 0 intro. intros zenon_H1b2 zenon_H177 zenon_H293 zenon_Hd zenon_H282 zenon_H281 zenon_H280 zenon_H296 zenon_H297 zenon_H298 zenon_H1b3 zenon_H120 zenon_H1bc zenon_H121 zenon_H122 zenon_H157 zenon_Hd6 zenon_He0 zenon_He1 zenon_Hdf zenon_H189 zenon_H193 zenon_H192 zenon_H191 zenon_H2b4.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H12. zenon_intro zenon_H1b4.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H1a4. zenon_intro zenon_H1b5.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H1a5. zenon_intro zenon_H1a6.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.25/1.40 apply (zenon_L655_); trivial.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H2b5 ].
% 1.25/1.40 apply (zenon_L522_); trivial.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H295 | zenon_intro zenon_H2d ].
% 1.25/1.40 apply (zenon_L528_); trivial.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H102 | zenon_intro zenon_H1b6 ].
% 1.25/1.40 apply (zenon_L125_); trivial.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H93 | zenon_intro zenon_H14a ].
% 1.25/1.40 apply (zenon_L558_); trivial.
% 1.25/1.40 apply (zenon_L656_); trivial.
% 1.25/1.40 (* end of lemma zenon_L657_ *)
% 1.25/1.40 assert (zenon_L658_ : ((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(c3_1 (a2531))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c3_1 (a2539)) -> (~(c2_1 (a2539))) -> (~(c0_1 (a2539))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(hskp21)) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> False).
% 1.25/1.40 do 0 intro. intros zenon_Hea zenon_H1b7 zenon_H177 zenon_H293 zenon_Hd zenon_H282 zenon_H281 zenon_H280 zenon_H1b3 zenon_H120 zenon_H1bc zenon_H121 zenon_H122 zenon_H157 zenon_Hd6 zenon_H189 zenon_H193 zenon_H192 zenon_H191 zenon_H1a2 zenon_H9 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1b2 ].
% 1.25/1.40 apply (zenon_L552_); trivial.
% 1.25/1.40 apply (zenon_L657_); trivial.
% 1.25/1.40 (* end of lemma zenon_L658_ *)
% 1.25/1.40 assert (zenon_L659_ : ((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((hskp23)\/(hskp27)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(c3_1 (a2531))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.25/1.40 do 0 intro. intros zenon_H19a zenon_H54 zenon_H21 zenon_Hdd zenon_H289 zenon_H1f zenon_H282 zenon_H281 zenon_H280 zenon_Hcb zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H1a2 zenon_H189 zenon_Hd6 zenon_H157 zenon_H122 zenon_H121 zenon_H1bc zenon_H120 zenon_H1b3 zenon_Hd zenon_H293 zenon_H177 zenon_H1b7 zenon_Hef.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.40 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.25/1.40 apply (zenon_L515_); trivial.
% 1.25/1.40 apply (zenon_L658_); trivial.
% 1.25/1.40 apply (zenon_L553_); trivial.
% 1.25/1.40 (* end of lemma zenon_L659_ *)
% 1.25/1.40 assert (zenon_L660_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> ((hskp23)\/(hskp27)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(c3_1 (a2531))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> (~(hskp4)) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> False).
% 1.25/1.40 do 0 intro. intros zenon_Hfe zenon_H1b9 zenon_H54 zenon_H21 zenon_Hdd zenon_H289 zenon_H1f zenon_Hcb zenon_H3e zenon_H1a2 zenon_H189 zenon_Hd6 zenon_H157 zenon_H1bc zenon_H120 zenon_H1b3 zenon_H177 zenon_H1b7 zenon_Hef zenon_H293 zenon_Hd zenon_H282 zenon_H281 zenon_H280 zenon_H296 zenon_H297 zenon_H298 zenon_H63 zenon_H5f zenon_H122 zenon_H121 zenon_H2b4.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.25/1.40 apply (zenon_L654_); trivial.
% 1.25/1.40 apply (zenon_L659_); trivial.
% 1.25/1.40 (* end of lemma zenon_L660_ *)
% 1.25/1.40 assert (zenon_L661_ : ((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> (~(hskp4)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.25/1.40 do 0 intro. intros zenon_H12b zenon_H101 zenon_H1b9 zenon_H54 zenon_H21 zenon_H289 zenon_H1f zenon_H3e zenon_H1a2 zenon_H189 zenon_Hd6 zenon_H157 zenon_H1bc zenon_H1b3 zenon_H177 zenon_H1b7 zenon_H296 zenon_H297 zenon_H298 zenon_H63 zenon_H5f zenon_H2b4 zenon_Hef zenon_Heb zenon_Hcb zenon_H280 zenon_H281 zenon_H282 zenon_Hd zenon_H293 zenon_Hdd zenon_Hfc zenon_Hb3.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.40 apply (zenon_L524_); trivial.
% 1.25/1.40 apply (zenon_L660_); trivial.
% 1.25/1.40 (* end of lemma zenon_L661_ *)
% 1.25/1.40 assert (zenon_L662_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> (~(hskp4)) -> ((hskp21)\/((hskp18)\/(hskp1))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((hskp23)\/(hskp27)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539))))))) -> False).
% 1.25/1.40 do 0 intro. intros zenon_H12e zenon_H101 zenon_H189 zenon_H1bc zenon_H177 zenon_Heb zenon_H293 zenon_Hfc zenon_Hb3 zenon_Hba zenon_H63 zenon_H5f zenon_Hf zenon_Hd zenon_H21 zenon_H1f zenon_H289 zenon_H282 zenon_H281 zenon_H280 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_H54 zenon_Hef zenon_H1b7 zenon_H11d zenon_H157 zenon_Hd6 zenon_H1b3 zenon_H1a2 zenon_Hcb zenon_Hdd zenon_H1b9.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.25/1.40 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.25/1.40 apply (zenon_L651_); trivial.
% 1.25/1.40 apply (zenon_L97_); trivial.
% 1.25/1.40 apply (zenon_L653_); trivial.
% 1.25/1.40 apply (zenon_L661_); trivial.
% 1.25/1.40 (* end of lemma zenon_L662_ *)
% 1.25/1.40 assert (zenon_L663_ : ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25)))))) -> (ndr1_0) -> (~(hskp19)) -> (~(hskp20)) -> False).
% 1.25/1.40 do 0 intro. intros zenon_H1c7 zenon_H282 zenon_H281 zenon_Hcc zenon_H12 zenon_H3 zenon_H77.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1c8 ].
% 1.25/1.40 generalize (zenon_H1c3 (a2519)). zenon_intro zenon_H2b8.
% 1.25/1.40 apply (zenon_imply_s _ _ zenon_H2b8); [ zenon_intro zenon_H11 | zenon_intro zenon_H2b9 ].
% 1.25/1.40 exact (zenon_H11 zenon_H12).
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H28b | zenon_intro zenon_H285 ].
% 1.25/1.40 apply (zenon_L516_); trivial.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H288 | zenon_intro zenon_H287 ].
% 1.25/1.40 exact (zenon_H281 zenon_H288).
% 1.25/1.40 exact (zenon_H282 zenon_H287).
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H4 | zenon_intro zenon_H78 ].
% 1.25/1.40 exact (zenon_H3 zenon_H4).
% 1.25/1.40 exact (zenon_H77 zenon_H78).
% 1.25/1.40 (* end of lemma zenon_L663_ *)
% 1.25/1.40 assert (zenon_L664_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(c0_1 (a2519))) -> (~(hskp20)) -> (~(hskp19)) -> (ndr1_0) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(hskp9)) -> False).
% 1.25/1.40 do 0 intro. intros zenon_H289 zenon_H280 zenon_H77 zenon_H3 zenon_H12 zenon_H281 zenon_H282 zenon_H1c7 zenon_H1f.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H27f | zenon_intro zenon_H28a ].
% 1.25/1.40 apply (zenon_L513_); trivial.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_Hcc | zenon_intro zenon_H20 ].
% 1.25/1.40 apply (zenon_L663_); trivial.
% 1.25/1.40 exact (zenon_H1f zenon_H20).
% 1.25/1.40 (* end of lemma zenon_L664_ *)
% 1.25/1.40 assert (zenon_L665_ : ((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c2_1 (a2549)) -> (~(c1_1 (a2549))) -> (~(c0_1 (a2549))) -> (c2_1 (a2545)) -> (c1_1 (a2545)) -> (~(c0_1 (a2545))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> (~(hskp19)) -> (~(hskp16)) -> False).
% 1.25/1.40 do 0 intro. intros zenon_Hea zenon_H1f3 zenon_Ha6 zenon_Ha5 zenon_Ha4 zenon_H58 zenon_H57 zenon_H56 zenon_H1e9 zenon_H3 zenon_H5.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H1f4 ].
% 1.25/1.40 apply (zenon_L47_); trivial.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H55 | zenon_intro zenon_H93 ].
% 1.25/1.40 apply (zenon_L25_); trivial.
% 1.25/1.40 apply (zenon_L192_); trivial.
% 1.25/1.40 (* end of lemma zenon_L665_ *)
% 1.25/1.40 assert (zenon_L666_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (~(hskp16)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> (c2_1 (a2545)) -> (c1_1 (a2545)) -> (~(c0_1 (a2545))) -> ((hskp23)\/(hskp27)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> (ndr1_0) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(hskp19)) -> (~(hskp9)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> False).
% 1.25/1.40 do 0 intro. intros zenon_Hb3 zenon_Hef zenon_H1f3 zenon_H5 zenon_H1e9 zenon_H58 zenon_H57 zenon_H56 zenon_Hcb zenon_Hdd zenon_H12 zenon_H280 zenon_H281 zenon_H282 zenon_H1c7 zenon_H3 zenon_H1f zenon_H289.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.25/1.40 apply (zenon_L664_); trivial.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.25/1.40 apply (zenon_L515_); trivial.
% 1.25/1.40 apply (zenon_L665_); trivial.
% 1.25/1.40 (* end of lemma zenon_L666_ *)
% 1.25/1.40 assert (zenon_L667_ : ((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (~(hskp1)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(c1_1 (a2553))) -> (~(c3_1 (a2553))) -> (c0_1 (a2553)) -> False).
% 1.25/1.40 do 0 intro. intros zenon_H1b2 zenon_H2b4 zenon_Hd zenon_H280 zenon_H281 zenon_H282 zenon_H293 zenon_H298 zenon_H297 zenon_H296 zenon_H189 zenon_H122 zenon_H121 zenon_H26 zenon_H25 zenon_H24 zenon_H10d zenon_H103 zenon_H105 zenon_H216 zenon_Hdf zenon_He0 zenon_He1.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H12. zenon_intro zenon_H1b4.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H1a4. zenon_intro zenon_H1b5.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H1a5. zenon_intro zenon_H1a6.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H2b5 ].
% 1.25/1.40 apply (zenon_L522_); trivial.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H295 | zenon_intro zenon_H2d ].
% 1.25/1.40 apply (zenon_L528_); trivial.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H55 | zenon_intro zenon_H18a ].
% 1.25/1.40 apply (zenon_L158_); trivial.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H118 | zenon_intro zenon_Hde ].
% 1.25/1.40 apply (zenon_L578_); trivial.
% 1.25/1.40 apply (zenon_L63_); trivial.
% 1.25/1.40 (* end of lemma zenon_L667_ *)
% 1.25/1.40 assert (zenon_L668_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(hskp21)) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> False).
% 1.25/1.40 do 0 intro. intros zenon_Hef zenon_H1b7 zenon_H121 zenon_H122 zenon_H216 zenon_H26 zenon_H25 zenon_H24 zenon_H105 zenon_H103 zenon_H10d zenon_H189 zenon_H1a2 zenon_H9 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_Hcb zenon_H280 zenon_H281 zenon_H282 zenon_Hd zenon_H293 zenon_Hdd.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.25/1.40 apply (zenon_L521_); trivial.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1b2 ].
% 1.25/1.40 apply (zenon_L552_); trivial.
% 1.25/1.40 apply (zenon_L667_); trivial.
% 1.25/1.40 (* end of lemma zenon_L668_ *)
% 1.25/1.40 assert (zenon_L669_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> (~(hskp9)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp8)) -> False).
% 1.25/1.40 do 0 intro. intros zenon_Hb6 zenon_H2ba zenon_H1f zenon_H280 zenon_H281 zenon_H282 zenon_H289 zenon_H112.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H27f | zenon_intro zenon_H2bb ].
% 1.25/1.40 apply (zenon_L513_); trivial.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H81 | zenon_intro zenon_H113 ].
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H27f | zenon_intro zenon_H28a ].
% 1.25/1.40 apply (zenon_L513_); trivial.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_Hcc | zenon_intro zenon_H20 ].
% 1.25/1.40 apply (zenon_L374_); trivial.
% 1.25/1.40 exact (zenon_H1f zenon_H20).
% 1.25/1.40 exact (zenon_H112 zenon_H113).
% 1.25/1.40 (* end of lemma zenon_L669_ *)
% 1.25/1.40 assert (zenon_L670_ : ((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (~(hskp8)) -> False).
% 1.25/1.40 do 0 intro. intros zenon_H8d zenon_H2ba zenon_H282 zenon_H281 zenon_H280 zenon_H112.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H12. zenon_intro zenon_H8f.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H84. zenon_intro zenon_H90.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H82. zenon_intro zenon_H83.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H27f | zenon_intro zenon_H2bb ].
% 1.25/1.40 apply (zenon_L513_); trivial.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H81 | zenon_intro zenon_H113 ].
% 1.25/1.40 apply (zenon_L39_); trivial.
% 1.25/1.40 exact (zenon_H112 zenon_H113).
% 1.25/1.40 (* end of lemma zenon_L670_ *)
% 1.25/1.40 assert (zenon_L671_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (ndr1_0) -> (~(c2_1 (a2551))) -> (c0_1 (a2551)) -> (c1_1 (a2551)) -> (~(hskp24)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> False).
% 1.25/1.40 do 0 intro. intros zenon_H92 zenon_H2ba zenon_H112 zenon_H282 zenon_H281 zenon_H280 zenon_H12 zenon_H14 zenon_H15 zenon_H16 zenon_H7b zenon_H7f.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.25/1.40 apply (zenon_L38_); trivial.
% 1.25/1.40 apply (zenon_L670_); trivial.
% 1.25/1.40 (* end of lemma zenon_L671_ *)
% 1.25/1.40 assert (zenon_L672_ : ((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp8)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> False).
% 1.25/1.40 do 0 intro. intros zenon_H50 zenon_Ha2 zenon_H144 zenon_H5 zenon_H134 zenon_H133 zenon_H132 zenon_H7f zenon_H280 zenon_H281 zenon_H282 zenon_H112 zenon_H2ba zenon_H92.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.25/1.40 apply (zenon_L671_); trivial.
% 1.25/1.40 apply (zenon_L199_); trivial.
% 1.25/1.40 (* end of lemma zenon_L672_ *)
% 1.25/1.40 assert (zenon_L673_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> (~(hskp1)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> (~(hskp8)) -> False).
% 1.25/1.40 do 0 intro. intros zenon_Hb6 zenon_H2ba zenon_Hd zenon_H280 zenon_H281 zenon_H282 zenon_H293 zenon_H112.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H27f | zenon_intro zenon_H2bb ].
% 1.25/1.40 apply (zenon_L513_); trivial.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H81 | zenon_intro zenon_H113 ].
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H27f | zenon_intro zenon_H294 ].
% 1.25/1.40 apply (zenon_L513_); trivial.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_Hcc | zenon_intro zenon_He ].
% 1.25/1.40 apply (zenon_L374_); trivial.
% 1.25/1.40 exact (zenon_Hd zenon_He).
% 1.25/1.40 exact (zenon_H112 zenon_H113).
% 1.25/1.40 (* end of lemma zenon_L673_ *)
% 1.25/1.40 assert (zenon_L674_ : ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W))))) -> (~(hskp17)) -> False).
% 1.25/1.40 do 0 intro. intros zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_H282 zenon_H281 zenon_H280 zenon_H12 zenon_Hf2 zenon_H146.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H131 | zenon_intro zenon_H149 ].
% 1.25/1.40 apply (zenon_L93_); trivial.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hcc | zenon_intro zenon_H147 ].
% 1.25/1.40 apply (zenon_L517_); trivial.
% 1.25/1.40 exact (zenon_H146 zenon_H147).
% 1.25/1.40 (* end of lemma zenon_L674_ *)
% 1.25/1.40 assert (zenon_L675_ : ((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (~(hskp17)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> False).
% 1.25/1.40 do 0 intro. intros zenon_H39 zenon_H2b4 zenon_H146 zenon_H280 zenon_H281 zenon_H282 zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_H298 zenon_H297 zenon_H296.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H12. zenon_intro zenon_H3b.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H2e. zenon_intro zenon_H3c.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H2f. zenon_intro zenon_H30.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H2b5 ].
% 1.25/1.40 apply (zenon_L674_); trivial.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H295 | zenon_intro zenon_H2d ].
% 1.25/1.40 apply (zenon_L528_); trivial.
% 1.25/1.40 apply (zenon_L15_); trivial.
% 1.25/1.40 (* end of lemma zenon_L675_ *)
% 1.25/1.40 assert (zenon_L676_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp21)) -> (~(hskp26)) -> ((hskp30)\/((hskp21)\/(hskp26))) -> False).
% 1.25/1.40 do 0 intro. intros zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_H132 zenon_H133 zenon_H134 zenon_H280 zenon_H281 zenon_H282 zenon_H146 zenon_H148 zenon_H9 zenon_H1a0 zenon_H1a2.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H1d | zenon_intro zenon_H39 ].
% 1.25/1.40 apply (zenon_L139_); trivial.
% 1.25/1.40 apply (zenon_L675_); trivial.
% 1.25/1.40 (* end of lemma zenon_L676_ *)
% 1.25/1.40 assert (zenon_L677_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a2539)) -> (~(c2_1 (a2539))) -> (~(c0_1 (a2539))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(hskp21)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> False).
% 1.25/1.40 do 0 intro. intros zenon_Hef zenon_H1b7 zenon_H11d zenon_H11b zenon_H157 zenon_Hd6 zenon_H1b3 zenon_H193 zenon_H192 zenon_H191 zenon_H1a2 zenon_H9 zenon_H282 zenon_H281 zenon_H280 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H146 zenon_H148 zenon_Hdd.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.25/1.40 apply (zenon_L100_); trivial.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1b2 ].
% 1.25/1.40 apply (zenon_L676_); trivial.
% 1.25/1.40 apply (zenon_L144_); trivial.
% 1.25/1.40 (* end of lemma zenon_L677_ *)
% 1.25/1.40 assert (zenon_L678_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a2539)) -> (~(c2_1 (a2539))) -> (~(c0_1 (a2539))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(hskp16)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> False).
% 1.25/1.40 do 0 intro. intros zenon_H190 zenon_Hef zenon_H1b7 zenon_H11d zenon_H11b zenon_H157 zenon_Hd6 zenon_H1b3 zenon_H193 zenon_H192 zenon_H191 zenon_H1a2 zenon_H282 zenon_H281 zenon_H280 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_Hdd zenon_H92 zenon_H2ba zenon_H112 zenon_H7f zenon_H5 zenon_H144 zenon_Ha2 zenon_H54.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.40 apply (zenon_L677_); trivial.
% 1.25/1.40 apply (zenon_L672_); trivial.
% 1.25/1.40 apply (zenon_L126_); trivial.
% 1.25/1.40 (* end of lemma zenon_L678_ *)
% 1.25/1.40 assert (zenon_L679_ : ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (ndr1_0) -> (forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23)))))) -> (~(hskp17)) -> False).
% 1.25/1.40 do 0 intro. intros zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_H68 zenon_H67 zenon_H66 zenon_H12 zenon_H81 zenon_H146.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H131 | zenon_intro zenon_H149 ].
% 1.25/1.40 apply (zenon_L93_); trivial.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hcc | zenon_intro zenon_H147 ].
% 1.25/1.40 apply (zenon_L374_); trivial.
% 1.25/1.40 exact (zenon_H146 zenon_H147).
% 1.25/1.40 (* end of lemma zenon_L679_ *)
% 1.25/1.40 assert (zenon_L680_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (~(hskp17)) -> (ndr1_0) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp8)) -> False).
% 1.25/1.40 do 0 intro. intros zenon_H2ba zenon_H282 zenon_H281 zenon_H280 zenon_H146 zenon_H12 zenon_H66 zenon_H67 zenon_H68 zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_H112.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H27f | zenon_intro zenon_H2bb ].
% 1.25/1.40 apply (zenon_L513_); trivial.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H81 | zenon_intro zenon_H113 ].
% 1.25/1.40 apply (zenon_L679_); trivial.
% 1.25/1.40 exact (zenon_H112 zenon_H113).
% 1.25/1.40 (* end of lemma zenon_L680_ *)
% 1.25/1.40 assert (zenon_L681_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a2539)) -> (~(c2_1 (a2539))) -> (~(c0_1 (a2539))) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (~(hskp8)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> False).
% 1.25/1.40 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_H11d zenon_H11b zenon_H193 zenon_H192 zenon_H191 zenon_H280 zenon_H281 zenon_H282 zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_H112 zenon_H2ba.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.40 apply (zenon_L680_); trivial.
% 1.25/1.40 apply (zenon_L126_); trivial.
% 1.25/1.40 (* end of lemma zenon_L681_ *)
% 1.25/1.40 assert (zenon_L682_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(c3_1 (a2531))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c3_1 (a2539)) -> (~(c2_1 (a2539))) -> (~(c0_1 (a2539))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(hskp21)) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> False).
% 1.25/1.40 do 0 intro. intros zenon_Hef zenon_H1b7 zenon_H177 zenon_H293 zenon_Hd zenon_H282 zenon_H281 zenon_H280 zenon_H1b3 zenon_H120 zenon_H1bc zenon_H121 zenon_H122 zenon_H157 zenon_Hd6 zenon_H189 zenon_H193 zenon_H192 zenon_H191 zenon_H1a2 zenon_H9 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H146 zenon_H148 zenon_Hdd.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.25/1.40 apply (zenon_L100_); trivial.
% 1.25/1.40 apply (zenon_L658_); trivial.
% 1.25/1.40 (* end of lemma zenon_L682_ *)
% 1.25/1.40 assert (zenon_L683_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (~(hskp8)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> False).
% 1.25/1.40 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_Hef zenon_H189 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H163 zenon_Hd6 zenon_H157 zenon_H174 zenon_H177 zenon_H280 zenon_H281 zenon_H282 zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_H112 zenon_H2ba.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.40 apply (zenon_L680_); trivial.
% 1.25/1.40 apply (zenon_L150_); trivial.
% 1.25/1.40 (* end of lemma zenon_L683_ *)
% 1.25/1.40 assert (zenon_L684_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(hskp21)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> False).
% 1.25/1.40 do 0 intro. intros zenon_Hef zenon_H1b7 zenon_H121 zenon_H122 zenon_H216 zenon_H26 zenon_H25 zenon_H24 zenon_H105 zenon_H103 zenon_H10d zenon_H189 zenon_Hd zenon_H293 zenon_H1a2 zenon_H9 zenon_H282 zenon_H281 zenon_H280 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H146 zenon_H148 zenon_Hdd.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.25/1.40 apply (zenon_L100_); trivial.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1b2 ].
% 1.25/1.40 apply (zenon_L676_); trivial.
% 1.25/1.40 apply (zenon_L667_); trivial.
% 1.25/1.40 (* end of lemma zenon_L684_ *)
% 1.25/1.40 assert (zenon_L685_ : ((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (c1_1 (a2551)) -> (c0_1 (a2551)) -> (~(c2_1 (a2551))) -> (~(hskp17)) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> False).
% 1.25/1.40 do 0 intro. intros zenon_Hea zenon_H2b4 zenon_H280 zenon_H281 zenon_H282 zenon_H298 zenon_H297 zenon_H296 zenon_H189 zenon_H122 zenon_H121 zenon_H26 zenon_H25 zenon_H24 zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_H16 zenon_H15 zenon_H14 zenon_H146 zenon_H10d zenon_H103 zenon_H105 zenon_H216.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H2b5 ].
% 1.25/1.40 apply (zenon_L674_); trivial.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H295 | zenon_intro zenon_H2d ].
% 1.25/1.40 apply (zenon_L528_); trivial.
% 1.25/1.40 apply (zenon_L563_); trivial.
% 1.25/1.40 (* end of lemma zenon_L685_ *)
% 1.25/1.40 assert (zenon_L686_ : ((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> False).
% 1.25/1.40 do 0 intro. intros zenon_H50 zenon_Hef zenon_H2b4 zenon_H121 zenon_H122 zenon_H216 zenon_H26 zenon_H25 zenon_H24 zenon_H105 zenon_H103 zenon_H10d zenon_H189 zenon_H298 zenon_H297 zenon_H296 zenon_H280 zenon_H281 zenon_H282 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H146 zenon_H148 zenon_Hdd.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.25/1.40 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.25/1.40 apply (zenon_L100_); trivial.
% 1.25/1.40 apply (zenon_L685_); trivial.
% 1.25/1.40 (* end of lemma zenon_L686_ *)
% 1.25/1.40 assert (zenon_L687_ : ((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.25/1.40 do 0 intro. intros zenon_H71 zenon_H54 zenon_Hdd zenon_H148 zenon_H146 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_H280 zenon_H281 zenon_H282 zenon_H1a2 zenon_H293 zenon_Hd zenon_H189 zenon_H10d zenon_H103 zenon_H105 zenon_H216 zenon_H122 zenon_H121 zenon_H1b7 zenon_Hef.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.25/1.40 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.41 apply (zenon_L684_); trivial.
% 1.25/1.41 apply (zenon_L686_); trivial.
% 1.25/1.41 (* end of lemma zenon_L687_ *)
% 1.25/1.41 assert (zenon_L688_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> (~(hskp6)) -> (~(hskp16)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> False).
% 1.25/1.41 do 0 intro. intros zenon_H74 zenon_H54 zenon_Hdd zenon_H148 zenon_H146 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_H280 zenon_H281 zenon_H282 zenon_H1a2 zenon_H293 zenon_Hd zenon_H189 zenon_H10d zenon_H103 zenon_H105 zenon_H216 zenon_H122 zenon_H121 zenon_H1b7 zenon_Hef zenon_H1 zenon_H5 zenon_H7.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.25/1.41 apply (zenon_L4_); trivial.
% 1.25/1.41 apply (zenon_L687_); trivial.
% 1.25/1.41 (* end of lemma zenon_L688_ *)
% 1.25/1.41 assert (zenon_L689_ : ((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(c1_1 (a2553))) -> (~(c3_1 (a2553))) -> (c0_1 (a2553)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c3_1 (a2539)) -> (~(c2_1 (a2539))) -> (~(c0_1 (a2539))) -> (~(c1_1 (a2541))) -> (~(c2_1 (a2541))) -> (c3_1 (a2541)) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> False).
% 1.25/1.41 do 0 intro. intros zenon_H9f zenon_H177 zenon_H1b3 zenon_Hdf zenon_He0 zenon_He1 zenon_H189 zenon_H193 zenon_H192 zenon_H191 zenon_H180 zenon_H181 zenon_H182 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.25/1.41 apply (zenon_L148_); trivial.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H102 | zenon_intro zenon_H1b6 ].
% 1.25/1.41 apply (zenon_L125_); trivial.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H93 | zenon_intro zenon_H14a ].
% 1.25/1.41 apply (zenon_L43_); trivial.
% 1.25/1.41 apply (zenon_L168_); trivial.
% 1.25/1.41 (* end of lemma zenon_L689_ *)
% 1.25/1.41 assert (zenon_L690_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2539))) -> (~(c2_1 (a2539))) -> (c3_1 (a2539)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> False).
% 1.25/1.41 do 0 intro. intros zenon_H18d zenon_Hef zenon_H189 zenon_H18b zenon_H68 zenon_H67 zenon_H66 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H163 zenon_H191 zenon_H192 zenon_H193 zenon_H1b3 zenon_H174 zenon_H177 zenon_Ha2.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.25/1.41 apply (zenon_L408_); trivial.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.25/1.41 apply (zenon_L120_); trivial.
% 1.25/1.41 apply (zenon_L689_); trivial.
% 1.25/1.41 (* end of lemma zenon_L690_ *)
% 1.25/1.41 assert (zenon_L691_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2539))) -> (~(c2_1 (a2539))) -> (c3_1 (a2539)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (~(hskp8)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> False).
% 1.25/1.41 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_Hef zenon_H189 zenon_H18b zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H163 zenon_H191 zenon_H192 zenon_H193 zenon_H1b3 zenon_H174 zenon_H177 zenon_Ha2 zenon_H280 zenon_H281 zenon_H282 zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_H112 zenon_H2ba.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.41 apply (zenon_L680_); trivial.
% 1.25/1.41 apply (zenon_L690_); trivial.
% 1.25/1.41 (* end of lemma zenon_L691_ *)
% 1.25/1.41 assert (zenon_L692_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c1_1 (a2528))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (ndr1_0) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(hskp19)) -> (~(hskp9)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> False).
% 1.25/1.41 do 0 intro. intros zenon_Hb3 zenon_H1e5 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H103 zenon_H105 zenon_H10d zenon_H11b zenon_H11d zenon_H12 zenon_H280 zenon_H281 zenon_H282 zenon_H1c7 zenon_H3 zenon_H1f zenon_H289.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.25/1.41 apply (zenon_L664_); trivial.
% 1.25/1.41 apply (zenon_L186_); trivial.
% 1.25/1.41 (* end of lemma zenon_L692_ *)
% 1.25/1.41 assert (zenon_L693_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (ndr1_0) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a2528))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.25/1.41 do 0 intro. intros zenon_H74 zenon_Hfc zenon_Hd zenon_H293 zenon_H92 zenon_H1b7 zenon_H216 zenon_H223 zenon_H1a2 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_H1e0 zenon_H21 zenon_H54 zenon_H289 zenon_H1f zenon_H1c7 zenon_H282 zenon_H281 zenon_H280 zenon_H12 zenon_H11d zenon_H11b zenon_H10d zenon_H105 zenon_H103 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e5 zenon_Hb3.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.25/1.41 apply (zenon_L692_); trivial.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.25/1.41 apply (zenon_L177_); trivial.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H12. zenon_intro zenon_H8f.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H84. zenon_intro zenon_H90.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H82. zenon_intro zenon_H83.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1b2 ].
% 1.25/1.41 apply (zenon_L652_); trivial.
% 1.25/1.41 apply (zenon_L579_); trivial.
% 1.25/1.41 apply (zenon_L650_); trivial.
% 1.25/1.41 apply (zenon_L523_); trivial.
% 1.25/1.41 (* end of lemma zenon_L693_ *)
% 1.25/1.41 assert (zenon_L694_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c2_1 (a2549)) -> (~(c1_1 (a2549))) -> (~(c0_1 (a2549))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> (~(c3_1 (a2553))) -> (c0_1 (a2553)) -> (~(c1_1 (a2553))) -> (ndr1_0) -> (~(hskp19)) -> (~(hskp16)) -> False).
% 1.25/1.41 do 0 intro. intros zenon_H1f3 zenon_Ha6 zenon_Ha5 zenon_Ha4 zenon_H122 zenon_H121 zenon_H2d zenon_H1e9 zenon_He0 zenon_He1 zenon_Hdf zenon_H12 zenon_H3 zenon_H5.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H1f4 ].
% 1.25/1.41 apply (zenon_L47_); trivial.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H55 | zenon_intro zenon_H93 ].
% 1.25/1.41 apply (zenon_L158_); trivial.
% 1.25/1.41 apply (zenon_L192_); trivial.
% 1.25/1.41 (* end of lemma zenon_L694_ *)
% 1.25/1.41 assert (zenon_L695_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> (~(hskp16)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> ((hskp23)\/(hskp27)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> (ndr1_0) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(hskp19)) -> (~(hskp9)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> False).
% 1.25/1.41 do 0 intro. intros zenon_Hb3 zenon_Hef zenon_H2b4 zenon_H121 zenon_H122 zenon_H1e9 zenon_H5 zenon_H1f3 zenon_H298 zenon_H297 zenon_H296 zenon_Hcb zenon_Hdd zenon_H12 zenon_H280 zenon_H281 zenon_H282 zenon_H1c7 zenon_H3 zenon_H1f zenon_H289.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.25/1.41 apply (zenon_L664_); trivial.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.25/1.41 apply (zenon_L515_); trivial.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H2b5 ].
% 1.25/1.41 apply (zenon_L518_); trivial.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H295 | zenon_intro zenon_H2d ].
% 1.25/1.41 apply (zenon_L528_); trivial.
% 1.25/1.41 apply (zenon_L694_); trivial.
% 1.25/1.41 (* end of lemma zenon_L695_ *)
% 1.25/1.41 assert (zenon_L696_ : ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))) -> (~(c1_1 (a2548))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (ndr1_0) -> (~(hskp29)) -> False).
% 1.25/1.41 do 0 intro. intros zenon_H1bc zenon_H26 zenon_H25 zenon_H3f zenon_H24 zenon_H122 zenon_H121 zenon_H120 zenon_H12 zenon_H150.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H118 | zenon_intro zenon_H1bd ].
% 1.25/1.41 apply (zenon_L361_); trivial.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H11f | zenon_intro zenon_H151 ].
% 1.25/1.41 apply (zenon_L83_); trivial.
% 1.25/1.41 exact (zenon_H150 zenon_H151).
% 1.25/1.41 (* end of lemma zenon_L696_ *)
% 1.25/1.41 assert (zenon_L697_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (c0_1 (a2601)) -> (c3_1 (a2601)) -> (~(c2_1 (a2601))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (ndr1_0) -> (~(hskp29)) -> False).
% 1.25/1.41 do 0 intro. intros zenon_H216 zenon_H10d zenon_H103 zenon_H105 zenon_H1a4 zenon_H1a5 zenon_H1a6 zenon_H1bc zenon_H26 zenon_H25 zenon_H24 zenon_H122 zenon_H121 zenon_H120 zenon_H12 zenon_H150.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H217 ].
% 1.25/1.41 apply (zenon_L316_); trivial.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H14a | zenon_intro zenon_H3f ].
% 1.25/1.41 apply (zenon_L344_); trivial.
% 1.25/1.41 apply (zenon_L696_); trivial.
% 1.25/1.41 (* end of lemma zenon_L697_ *)
% 1.25/1.41 assert (zenon_L698_ : ((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (~(hskp1)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a2539)) -> (~(c2_1 (a2539))) -> (~(c0_1 (a2539))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(c2_1 (a2601))) -> (c3_1 (a2601)) -> (c0_1 (a2601)) -> (~(c1_1 (a2553))) -> (~(c3_1 (a2553))) -> (c0_1 (a2553)) -> False).
% 1.25/1.41 do 0 intro. intros zenon_H173 zenon_H2b4 zenon_Hd zenon_H280 zenon_H281 zenon_H282 zenon_H293 zenon_H298 zenon_H297 zenon_H296 zenon_H1b3 zenon_H193 zenon_H192 zenon_H191 zenon_H1d9 zenon_H1d8 zenon_H189 zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_Hdf zenon_He0 zenon_He1.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H2b5 ].
% 1.25/1.41 apply (zenon_L522_); trivial.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H295 | zenon_intro zenon_H2d ].
% 1.25/1.41 apply (zenon_L528_); trivial.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H102 | zenon_intro zenon_H1b6 ].
% 1.25/1.41 apply (zenon_L125_); trivial.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H93 | zenon_intro zenon_H14a ].
% 1.25/1.41 apply (zenon_L298_); trivial.
% 1.25/1.41 apply (zenon_L656_); trivial.
% 1.25/1.41 (* end of lemma zenon_L698_ *)
% 1.25/1.41 assert (zenon_L699_ : ((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (~(c0_1 (a2539))) -> (~(c2_1 (a2539))) -> (c3_1 (a2539)) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c0_1 (a2553)) -> (~(c3_1 (a2553))) -> (~(c1_1 (a2553))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> False).
% 1.25/1.41 do 0 intro. intros zenon_H1b2 zenon_H177 zenon_H2b4 zenon_H191 zenon_H192 zenon_H193 zenon_H1d8 zenon_H1d9 zenon_H189 zenon_He1 zenon_He0 zenon_Hdf zenon_H1b3 zenon_H298 zenon_H297 zenon_H296 zenon_H280 zenon_H281 zenon_H282 zenon_Hd zenon_H293 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H105 zenon_H103 zenon_H10d zenon_H26 zenon_H25 zenon_H24 zenon_H216.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H12. zenon_intro zenon_H1b4.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H1a4. zenon_intro zenon_H1b5.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H1a5. zenon_intro zenon_H1a6.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.25/1.41 apply (zenon_L697_); trivial.
% 1.25/1.41 apply (zenon_L698_); trivial.
% 1.25/1.41 (* end of lemma zenon_L699_ *)
% 1.25/1.41 assert (zenon_L700_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> (~(c0_1 (a2539))) -> (~(c2_1 (a2539))) -> (c3_1 (a2539)) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(hskp21)) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> False).
% 1.25/1.41 do 0 intro. intros zenon_Hef zenon_H1b7 zenon_H177 zenon_H191 zenon_H192 zenon_H193 zenon_H1d8 zenon_H1d9 zenon_H189 zenon_H1b3 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H105 zenon_H103 zenon_H10d zenon_H26 zenon_H25 zenon_H24 zenon_H216 zenon_H1a2 zenon_H9 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_Hcb zenon_H280 zenon_H281 zenon_H282 zenon_Hd zenon_H293 zenon_Hdd.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.25/1.41 apply (zenon_L521_); trivial.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1b2 ].
% 1.25/1.41 apply (zenon_L552_); trivial.
% 1.25/1.41 apply (zenon_L699_); trivial.
% 1.25/1.41 (* end of lemma zenon_L700_ *)
% 1.25/1.41 assert (zenon_L701_ : ((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((hskp23)\/(hskp27)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (c3_1 (a2539)) -> (~(c2_1 (a2539))) -> (~(c0_1 (a2539))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.25/1.41 do 0 intro. intros zenon_H71 zenon_H54 zenon_H1f zenon_H21 zenon_Hdd zenon_H293 zenon_Hd zenon_H282 zenon_H281 zenon_H280 zenon_Hcb zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H1a2 zenon_H216 zenon_H10d zenon_H103 zenon_H105 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H1b3 zenon_H189 zenon_H1d9 zenon_H1d8 zenon_H193 zenon_H192 zenon_H191 zenon_H177 zenon_H1b7 zenon_Hef.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.41 apply (zenon_L700_); trivial.
% 1.25/1.41 apply (zenon_L553_); trivial.
% 1.25/1.41 (* end of lemma zenon_L701_ *)
% 1.25/1.41 assert (zenon_L702_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (~(hskp17)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (ndr1_0) -> (~(hskp16)) -> False).
% 1.25/1.41 do 0 intro. intros zenon_H2b4 zenon_H146 zenon_H280 zenon_H281 zenon_H282 zenon_H148 zenon_H298 zenon_H297 zenon_H296 zenon_H144 zenon_H134 zenon_H133 zenon_H132 zenon_H1d9 zenon_H1d8 zenon_H12 zenon_H5.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H2b5 ].
% 1.25/1.41 apply (zenon_L674_); trivial.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H295 | zenon_intro zenon_H2d ].
% 1.25/1.41 apply (zenon_L528_); trivial.
% 1.25/1.41 apply (zenon_L581_); trivial.
% 1.25/1.41 (* end of lemma zenon_L702_ *)
% 1.25/1.41 assert (zenon_L703_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp23)\/(hskp27)) -> (~(c3_1 (a2525))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (ndr1_0) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp16)) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> False).
% 1.25/1.41 do 0 intro. intros zenon_H190 zenon_Hb3 zenon_Hfc zenon_Hd zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H92 zenon_Hdd zenon_H12f zenon_H114 zenon_Hcb zenon_H1d7 zenon_H1e0 zenon_H18b zenon_Ha2 zenon_Hef zenon_H148 zenon_H282 zenon_H281 zenon_H280 zenon_H134 zenon_H133 zenon_H132 zenon_H12 zenon_H296 zenon_H297 zenon_H298 zenon_H144 zenon_H5 zenon_H1d9 zenon_H1d8 zenon_H2b4.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.41 apply (zenon_L702_); trivial.
% 1.25/1.41 apply (zenon_L204_); trivial.
% 1.25/1.41 (* end of lemma zenon_L703_ *)
% 1.25/1.41 assert (zenon_L704_ : ((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (~(hskp10)) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp1)) -> False).
% 1.25/1.41 do 0 intro. intros zenon_H50 zenon_H293 zenon_H282 zenon_H281 zenon_H280 zenon_Hd6 zenon_H66 zenon_H67 zenon_H68 zenon_H157 zenon_Hd.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H27f | zenon_intro zenon_H294 ].
% 1.25/1.41 apply (zenon_L513_); trivial.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_Hcc | zenon_intro zenon_He ].
% 1.25/1.41 apply (zenon_L133_); trivial.
% 1.25/1.41 exact (zenon_Hd zenon_He).
% 1.25/1.41 (* end of lemma zenon_L704_ *)
% 1.25/1.41 assert (zenon_L705_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> (~(hskp15)) -> (~(hskp4)) -> ((hskp21)\/((hskp18)\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> False).
% 1.25/1.41 do 0 intro. intros zenon_Hb6 zenon_Hba zenon_H63 zenon_H61 zenon_H5f zenon_Hf zenon_Hd zenon_H280 zenon_H281 zenon_H282 zenon_H157 zenon_Hd6 zenon_H293 zenon_H54.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.41 apply (zenon_L8_); trivial.
% 1.25/1.41 apply (zenon_L704_); trivial.
% 1.25/1.41 apply (zenon_L97_); trivial.
% 1.25/1.41 (* end of lemma zenon_L705_ *)
% 1.25/1.41 assert (zenon_L706_ : ((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (~(hskp1)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> (~(c0_1 (a2539))) -> (~(c2_1 (a2539))) -> (c3_1 (a2539)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp11)) -> False).
% 1.25/1.41 do 0 intro. intros zenon_H1b2 zenon_H2b4 zenon_Hd zenon_H280 zenon_H281 zenon_H282 zenon_H293 zenon_H298 zenon_H297 zenon_H296 zenon_H11d zenon_H1d8 zenon_H1d9 zenon_H191 zenon_H192 zenon_H193 zenon_H1b3 zenon_H11b.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H12. zenon_intro zenon_H1b4.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H1a4. zenon_intro zenon_H1b5.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H1a5. zenon_intro zenon_H1a6.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H2b5 ].
% 1.25/1.41 apply (zenon_L522_); trivial.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H295 | zenon_intro zenon_H2d ].
% 1.25/1.41 apply (zenon_L528_); trivial.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H102 | zenon_intro zenon_H11e ].
% 1.25/1.41 apply (zenon_L125_); trivial.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H118 | zenon_intro zenon_H11c ].
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H102 | zenon_intro zenon_H1b6 ].
% 1.25/1.41 apply (zenon_L125_); trivial.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H93 | zenon_intro zenon_H14a ].
% 1.25/1.41 apply (zenon_L298_); trivial.
% 1.25/1.41 apply (zenon_L142_); trivial.
% 1.25/1.41 exact (zenon_H11b zenon_H11c).
% 1.25/1.41 (* end of lemma zenon_L706_ *)
% 1.25/1.41 assert (zenon_L707_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> (~(c0_1 (a2539))) -> (~(c2_1 (a2539))) -> (c3_1 (a2539)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(hskp21)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> False).
% 1.25/1.41 do 0 intro. intros zenon_H1b7 zenon_H191 zenon_H192 zenon_H193 zenon_H1b3 zenon_H1d9 zenon_H1d8 zenon_H11b zenon_H11d zenon_Hd zenon_H293 zenon_H1a2 zenon_H9 zenon_H148 zenon_H146 zenon_H282 zenon_H281 zenon_H280 zenon_H134 zenon_H133 zenon_H132 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1b2 ].
% 1.25/1.41 apply (zenon_L676_); trivial.
% 1.25/1.41 apply (zenon_L706_); trivial.
% 1.25/1.41 (* end of lemma zenon_L707_ *)
% 1.25/1.41 assert (zenon_L708_ : ((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (~(hskp1)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a2539)) -> (~(c2_1 (a2539))) -> (~(c0_1 (a2539))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (~(hskp17)) -> False).
% 1.25/1.41 do 0 intro. intros zenon_H50 zenon_H2b4 zenon_Hd zenon_H280 zenon_H281 zenon_H282 zenon_H293 zenon_H298 zenon_H297 zenon_H296 zenon_H1b3 zenon_H193 zenon_H192 zenon_H191 zenon_H1d9 zenon_H1d8 zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_H146.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H2b5 ].
% 1.25/1.41 apply (zenon_L522_); trivial.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H295 | zenon_intro zenon_H2d ].
% 1.25/1.41 apply (zenon_L528_); trivial.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H102 | zenon_intro zenon_H1b6 ].
% 1.25/1.41 apply (zenon_L125_); trivial.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H93 | zenon_intro zenon_H14a ].
% 1.25/1.41 apply (zenon_L298_); trivial.
% 1.25/1.41 apply (zenon_L353_); trivial.
% 1.25/1.41 (* end of lemma zenon_L708_ *)
% 1.25/1.41 assert (zenon_L709_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((hskp23)\/(hskp27)) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (ndr1_0) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp16)) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> False).
% 1.25/1.41 do 0 intro. intros zenon_H190 zenon_Hef zenon_Ha2 zenon_H18b zenon_Hcb zenon_Hd zenon_H293 zenon_Hdd zenon_H148 zenon_H282 zenon_H281 zenon_H280 zenon_H134 zenon_H133 zenon_H132 zenon_H12 zenon_H296 zenon_H297 zenon_H298 zenon_H144 zenon_H5 zenon_H1d9 zenon_H1d8 zenon_H2b4.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.41 apply (zenon_L702_); trivial.
% 1.25/1.41 apply (zenon_L525_); trivial.
% 1.25/1.41 (* end of lemma zenon_L709_ *)
% 1.25/1.41 assert (zenon_L710_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c0_1 (a2539))) -> (~(c2_1 (a2539))) -> (c3_1 (a2539)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(c3_1 (a2531))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.25/1.41 do 0 intro. intros zenon_H54 zenon_H1d8 zenon_H1d9 zenon_Hdd zenon_H148 zenon_H146 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H1a2 zenon_H191 zenon_H192 zenon_H193 zenon_H189 zenon_Hd6 zenon_H157 zenon_H122 zenon_H121 zenon_H1bc zenon_H120 zenon_H1b3 zenon_H280 zenon_H281 zenon_H282 zenon_Hd zenon_H293 zenon_H177 zenon_H1b7 zenon_Hef.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.41 apply (zenon_L682_); trivial.
% 1.25/1.41 apply (zenon_L708_); trivial.
% 1.25/1.41 (* end of lemma zenon_L710_ *)
% 1.25/1.41 assert (zenon_L711_ : ((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(c3_1 (a2531))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp23)\/(hskp27)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.25/1.41 do 0 intro. intros zenon_H19a zenon_Hb9 zenon_H163 zenon_H174 zenon_H1b7 zenon_H177 zenon_H1b3 zenon_H120 zenon_H1bc zenon_H121 zenon_H122 zenon_H157 zenon_Hd6 zenon_H189 zenon_H1a2 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H3e zenon_H54 zenon_H2b4 zenon_H1d8 zenon_H1d9 zenon_H144 zenon_H298 zenon_H297 zenon_H296 zenon_H132 zenon_H133 zenon_H134 zenon_H280 zenon_H281 zenon_H282 zenon_H148 zenon_Hdd zenon_H293 zenon_Hd zenon_Hcb zenon_H18b zenon_Ha2 zenon_Hef zenon_H190.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.41 apply (zenon_L709_); trivial.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.41 apply (zenon_L710_); trivial.
% 1.25/1.41 apply (zenon_L150_); trivial.
% 1.25/1.41 (* end of lemma zenon_L711_ *)
% 1.25/1.41 assert (zenon_L712_ : ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (~(hskp20)) -> (~(hskp19)) -> (ndr1_0) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(hskp17)) -> False).
% 1.25/1.41 do 0 intro. intros zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_H77 zenon_H3 zenon_H12 zenon_H281 zenon_H282 zenon_H1c7 zenon_H146.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H131 | zenon_intro zenon_H149 ].
% 1.25/1.41 apply (zenon_L93_); trivial.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hcc | zenon_intro zenon_H147 ].
% 1.25/1.41 apply (zenon_L663_); trivial.
% 1.25/1.41 exact (zenon_H146 zenon_H147).
% 1.25/1.41 (* end of lemma zenon_L712_ *)
% 1.25/1.41 assert (zenon_L713_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c1_1 (a2528))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (ndr1_0) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(hskp19)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> False).
% 1.25/1.41 do 0 intro. intros zenon_Hb3 zenon_H1e5 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H103 zenon_H105 zenon_H10d zenon_H11b zenon_H11d zenon_H12 zenon_H132 zenon_H133 zenon_H134 zenon_H1c7 zenon_H3 zenon_H282 zenon_H281 zenon_H146 zenon_H148.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.25/1.41 apply (zenon_L712_); trivial.
% 1.25/1.41 apply (zenon_L186_); trivial.
% 1.25/1.41 (* end of lemma zenon_L713_ *)
% 1.25/1.41 assert (zenon_L714_ : ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25)))))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31)))))) -> (~(c1_1 (a2528))) -> (ndr1_0) -> (~(c2_1 (a2601))) -> (c0_1 (a2601)) -> (c3_1 (a2601)) -> False).
% 1.25/1.41 do 0 intro. intros zenon_H223 zenon_H68 zenon_H67 zenon_H66 zenon_Hcc zenon_H105 zenon_H103 zenon_H102 zenon_H10d zenon_H12 zenon_H1a6 zenon_H1a4 zenon_H1a5.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H81 | zenon_intro zenon_H224 ].
% 1.25/1.41 apply (zenon_L374_); trivial.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H10c | zenon_intro zenon_H21f ].
% 1.25/1.41 apply (zenon_L76_); trivial.
% 1.25/1.41 apply (zenon_L431_); trivial.
% 1.25/1.41 (* end of lemma zenon_L714_ *)
% 1.25/1.41 assert (zenon_L715_ : ((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp1)) -> False).
% 1.25/1.41 do 0 intro. intros zenon_H1b2 zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_H293 zenon_H282 zenon_H281 zenon_H280 zenon_H11b zenon_H1b3 zenon_H10d zenon_H103 zenon_H105 zenon_H66 zenon_H67 zenon_H68 zenon_H223 zenon_H1d9 zenon_H1d8 zenon_H11d zenon_Hd.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H12. zenon_intro zenon_H1b4.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H1a4. zenon_intro zenon_H1b5.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H1a5. zenon_intro zenon_H1a6.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H2b5 ].
% 1.25/1.41 apply (zenon_L522_); trivial.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H295 | zenon_intro zenon_H2d ].
% 1.25/1.41 apply (zenon_L528_); trivial.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H27f | zenon_intro zenon_H294 ].
% 1.25/1.41 apply (zenon_L513_); trivial.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_Hcc | zenon_intro zenon_He ].
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H102 | zenon_intro zenon_H11e ].
% 1.25/1.41 apply (zenon_L714_); trivial.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H118 | zenon_intro zenon_H11c ].
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H102 | zenon_intro zenon_H1b6 ].
% 1.25/1.41 apply (zenon_L714_); trivial.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H93 | zenon_intro zenon_H14a ].
% 1.25/1.41 apply (zenon_L298_); trivial.
% 1.25/1.41 apply (zenon_L142_); trivial.
% 1.25/1.41 exact (zenon_H11b zenon_H11c).
% 1.25/1.41 exact (zenon_Hd zenon_He).
% 1.25/1.41 (* end of lemma zenon_L715_ *)
% 1.25/1.41 assert (zenon_L716_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(hskp21)) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> False).
% 1.25/1.41 do 0 intro. intros zenon_H1b7 zenon_H11d zenon_H11b zenon_H1d8 zenon_H1d9 zenon_H1b3 zenon_H66 zenon_H67 zenon_H68 zenon_H10d zenon_H103 zenon_H105 zenon_H223 zenon_H280 zenon_H281 zenon_H282 zenon_Hd zenon_H293 zenon_H1a2 zenon_H9 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1b2 ].
% 1.25/1.41 apply (zenon_L552_); trivial.
% 1.25/1.41 apply (zenon_L715_); trivial.
% 1.25/1.41 (* end of lemma zenon_L716_ *)
% 1.25/1.41 assert (zenon_L717_ : (forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))) -> (ndr1_0) -> (c0_1 (a2548)) -> (forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))) -> (c3_1 (a2548)) -> False).
% 1.25/1.41 do 0 intro. intros zenon_H3f zenon_H12 zenon_H25 zenon_H21f zenon_H26.
% 1.25/1.41 generalize (zenon_H3f (a2548)). zenon_intro zenon_H250.
% 1.25/1.41 apply (zenon_imply_s _ _ zenon_H250); [ zenon_intro zenon_H11 | zenon_intro zenon_H251 ].
% 1.25/1.41 exact (zenon_H11 zenon_H12).
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H2c | zenon_intro zenon_H252 ].
% 1.25/1.41 exact (zenon_H2c zenon_H25).
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H253 | zenon_intro zenon_H2b ].
% 1.25/1.41 generalize (zenon_H21f (a2548)). zenon_intro zenon_H2bc.
% 1.25/1.41 apply (zenon_imply_s _ _ zenon_H2bc); [ zenon_intro zenon_H11 | zenon_intro zenon_H2bd ].
% 1.25/1.41 exact (zenon_H11 zenon_H12).
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H2bd); [ zenon_intro zenon_H24f | zenon_intro zenon_H29 ].
% 1.25/1.41 exact (zenon_H253 zenon_H24f).
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_H2c | zenon_intro zenon_H2b ].
% 1.25/1.41 exact (zenon_H2c zenon_H25).
% 1.25/1.41 exact (zenon_H2b zenon_H26).
% 1.25/1.41 exact (zenon_H2b zenon_H26).
% 1.25/1.41 (* end of lemma zenon_L717_ *)
% 1.25/1.41 assert (zenon_L718_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c1_1 (a2551)) -> (c0_1 (a2551)) -> (~(c2_1 (a2551))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25)))))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31)))))) -> (~(c1_1 (a2528))) -> (ndr1_0) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> False).
% 1.25/1.41 do 0 intro. intros zenon_H216 zenon_H16 zenon_H15 zenon_H14 zenon_H223 zenon_H68 zenon_H67 zenon_H66 zenon_Hcc zenon_H105 zenon_H103 zenon_H102 zenon_H10d zenon_H12 zenon_H25 zenon_H26.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H217 ].
% 1.25/1.41 apply (zenon_L183_); trivial.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H14a | zenon_intro zenon_H3f ].
% 1.25/1.41 apply (zenon_L129_); trivial.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H81 | zenon_intro zenon_H224 ].
% 1.25/1.41 apply (zenon_L374_); trivial.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H10c | zenon_intro zenon_H21f ].
% 1.25/1.41 apply (zenon_L76_); trivial.
% 1.25/1.41 apply (zenon_L717_); trivial.
% 1.25/1.41 (* end of lemma zenon_L718_ *)
% 1.25/1.41 assert (zenon_L719_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2519))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (ndr1_0) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a2528))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.25/1.41 do 0 intro. intros zenon_H74 zenon_H54 zenon_H216 zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H1a2 zenon_H293 zenon_Hd zenon_H280 zenon_H223 zenon_H68 zenon_H67 zenon_H66 zenon_H1b3 zenon_H1b7 zenon_H148 zenon_H146 zenon_H281 zenon_H282 zenon_H1c7 zenon_H134 zenon_H133 zenon_H132 zenon_H12 zenon_H11d zenon_H11b zenon_H10d zenon_H105 zenon_H103 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e5 zenon_Hb3.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.25/1.41 apply (zenon_L713_); trivial.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.41 apply (zenon_L716_); trivial.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H27f | zenon_intro zenon_H294 ].
% 1.25/1.41 apply (zenon_L513_); trivial.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_Hcc | zenon_intro zenon_He ].
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H102 | zenon_intro zenon_H11e ].
% 1.25/1.41 apply (zenon_L718_); trivial.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H118 | zenon_intro zenon_H11c ].
% 1.25/1.41 apply (zenon_L362_); trivial.
% 1.25/1.41 exact (zenon_H11b zenon_H11c).
% 1.25/1.41 exact (zenon_Hd zenon_He).
% 1.25/1.41 (* end of lemma zenon_L719_ *)
% 1.25/1.41 assert (zenon_L720_ : ((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (~(hskp11)) -> (~(c1_1 (a2541))) -> (~(c2_1 (a2541))) -> (c3_1 (a2541)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp1)) -> False).
% 1.25/1.41 do 0 intro. intros zenon_H50 zenon_H293 zenon_H282 zenon_H281 zenon_H280 zenon_H11b zenon_H180 zenon_H181 zenon_H182 zenon_H216 zenon_H223 zenon_H68 zenon_H67 zenon_H66 zenon_H105 zenon_H103 zenon_H10d zenon_H25 zenon_H26 zenon_H11d zenon_Hd.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H27f | zenon_intro zenon_H294 ].
% 1.25/1.41 apply (zenon_L513_); trivial.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_Hcc | zenon_intro zenon_He ].
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H102 | zenon_intro zenon_H11e ].
% 1.25/1.41 apply (zenon_L718_); trivial.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H118 | zenon_intro zenon_H11c ].
% 1.25/1.41 apply (zenon_L115_); trivial.
% 1.25/1.41 exact (zenon_H11b zenon_H11c).
% 1.25/1.41 exact (zenon_Hd zenon_He).
% 1.25/1.41 (* end of lemma zenon_L720_ *)
% 1.25/1.41 assert (zenon_L721_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c2_1 (a2549)) -> (~(c1_1 (a2549))) -> (~(c0_1 (a2549))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (ndr1_0) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> False).
% 1.25/1.41 do 0 intro. intros zenon_H1f3 zenon_Ha6 zenon_Ha5 zenon_Ha4 zenon_H122 zenon_H121 zenon_H2d zenon_H12 zenon_H1d8 zenon_H1d9.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H1f4 ].
% 1.25/1.41 apply (zenon_L47_); trivial.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H55 | zenon_intro zenon_H93 ].
% 1.25/1.41 apply (zenon_L158_); trivial.
% 1.25/1.41 apply (zenon_L298_); trivial.
% 1.25/1.41 (* end of lemma zenon_L721_ *)
% 1.25/1.41 assert (zenon_L722_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (ndr1_0) -> (~(c1_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c3_1 (a2533))) -> (~(hskp19)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> False).
% 1.25/1.41 do 0 intro. intros zenon_Hb3 zenon_H2b4 zenon_H121 zenon_H122 zenon_H1d8 zenon_H1d9 zenon_H1f3 zenon_H298 zenon_H297 zenon_H296 zenon_H132 zenon_H133 zenon_H134 zenon_H280 zenon_H281 zenon_H282 zenon_H146 zenon_H148 zenon_H12 zenon_H2a5 zenon_H2a6 zenon_H2a7 zenon_H3 zenon_H1c7.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.25/1.41 apply (zenon_L534_); trivial.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H2b5 ].
% 1.25/1.41 apply (zenon_L674_); trivial.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H295 | zenon_intro zenon_H2d ].
% 1.25/1.41 apply (zenon_L528_); trivial.
% 1.25/1.41 apply (zenon_L721_); trivial.
% 1.25/1.41 (* end of lemma zenon_L722_ *)
% 1.25/1.41 assert (zenon_L723_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((hskp23)\/(hskp27)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c1_1 (a2533))) -> (ndr1_0) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.25/1.41 do 0 intro. intros zenon_H74 zenon_H54 zenon_Hdd zenon_Hcb zenon_H3e zenon_H1a2 zenon_H293 zenon_Hd zenon_H189 zenon_H10d zenon_H103 zenon_H105 zenon_H216 zenon_H1b7 zenon_Hef zenon_H1c7 zenon_H2a7 zenon_H2a6 zenon_H2a5 zenon_H12 zenon_H148 zenon_H146 zenon_H282 zenon_H281 zenon_H280 zenon_H134 zenon_H133 zenon_H132 zenon_H296 zenon_H297 zenon_H298 zenon_H1f3 zenon_H1d9 zenon_H1d8 zenon_H122 zenon_H121 zenon_H2b4 zenon_Hb3.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.25/1.41 apply (zenon_L722_); trivial.
% 1.25/1.41 apply (zenon_L687_); trivial.
% 1.25/1.41 (* end of lemma zenon_L723_ *)
% 1.25/1.41 assert (zenon_L724_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(c3_1 (a2531))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2539))) -> (~(c2_1 (a2539))) -> (c3_1 (a2539)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c1_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c3_1 (a2533))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((hskp23)\/(hskp27)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.25/1.41 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_H18b zenon_H1bc zenon_H120 zenon_H163 zenon_H191 zenon_H192 zenon_H193 zenon_H1b3 zenon_H174 zenon_H177 zenon_Ha2 zenon_Hb3 zenon_H2b4 zenon_H121 zenon_H122 zenon_H1d8 zenon_H1d9 zenon_H1f3 zenon_H298 zenon_H297 zenon_H296 zenon_H132 zenon_H133 zenon_H134 zenon_H280 zenon_H281 zenon_H282 zenon_H148 zenon_H2a5 zenon_H2a6 zenon_H2a7 zenon_H1c7 zenon_Hef zenon_H1b7 zenon_H216 zenon_H105 zenon_H103 zenon_H10d zenon_H189 zenon_Hd zenon_H293 zenon_H1a2 zenon_H3e zenon_Hcb zenon_Hdd zenon_H54 zenon_H74.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.41 apply (zenon_L723_); trivial.
% 1.25/1.41 apply (zenon_L690_); trivial.
% 1.25/1.41 (* end of lemma zenon_L724_ *)
% 1.25/1.41 assert (zenon_L725_ : ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (~(hskp10)) -> (c0_1 (a2601)) -> (c3_1 (a2601)) -> (~(c2_1 (a2601))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(c3_1 (a2553))) -> (c0_1 (a2553)) -> (~(c1_1 (a2553))) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))) -> (ndr1_0) -> (~(hskp24)) -> False).
% 1.25/1.41 do 0 intro. intros zenon_H18b zenon_Hd6 zenon_H1a4 zenon_H1a5 zenon_H1a6 zenon_H157 zenon_He0 zenon_He1 zenon_Hdf zenon_H93 zenon_H12 zenon_H7b.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H118 | zenon_intro zenon_H18c ].
% 1.25/1.41 apply (zenon_L143_); trivial.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H65 | zenon_intro zenon_H7c ].
% 1.25/1.41 apply (zenon_L94_); trivial.
% 1.25/1.41 exact (zenon_H7b zenon_H7c).
% 1.25/1.41 (* end of lemma zenon_L725_ *)
% 1.25/1.41 assert (zenon_L726_ : ((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(hskp16)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> False).
% 1.25/1.41 do 0 intro. intros zenon_H9f zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_H280 zenon_H281 zenon_H282 zenon_H289 zenon_H21 zenon_H1f zenon_H1fc zenon_H1fb zenon_H1fa zenon_H5 zenon_H144.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H1d | zenon_intro zenon_H39 ].
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H131 | zenon_intro zenon_H145 ].
% 1.25/1.41 apply (zenon_L589_); trivial.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H93 | zenon_intro zenon_H6 ].
% 1.25/1.41 apply (zenon_L43_); trivial.
% 1.25/1.41 exact (zenon_H5 zenon_H6).
% 1.25/1.41 apply (zenon_L649_); trivial.
% 1.25/1.41 (* end of lemma zenon_L726_ *)
% 1.25/1.41 assert (zenon_L727_ : ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> (~(hskp20)) -> (~(hskp19)) -> (ndr1_0) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(hskp10)) -> False).
% 1.25/1.41 do 0 intro. intros zenon_Hd9 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H77 zenon_H3 zenon_H12 zenon_H66 zenon_H67 zenon_H1c7 zenon_Hd6.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hdc ].
% 1.25/1.41 apply (zenon_L52_); trivial.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hd7 ].
% 1.25/1.41 apply (zenon_L154_); trivial.
% 1.25/1.41 exact (zenon_Hd6 zenon_Hd7).
% 1.25/1.41 (* end of lemma zenon_L727_ *)
% 1.25/1.41 assert (zenon_L728_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> (ndr1_0) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(hskp19)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (~(hskp10)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> False).
% 1.25/1.41 do 0 intro. intros zenon_Hb3 zenon_Hfc zenon_Hd zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H12 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H1c7 zenon_H3 zenon_H67 zenon_H66 zenon_Hd6 zenon_Hd9.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.25/1.41 apply (zenon_L727_); trivial.
% 1.25/1.41 apply (zenon_L72_); trivial.
% 1.25/1.41 (* end of lemma zenon_L728_ *)
% 1.25/1.41 assert (zenon_L729_ : ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (~(c2_1 (a2601))) -> (c3_1 (a2601)) -> (c0_1 (a2601)) -> (ndr1_0) -> (forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32)))))) -> (~(hskp10)) -> False).
% 1.25/1.41 do 0 intro. intros zenon_H157 zenon_H68 zenon_H67 zenon_H66 zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_H12 zenon_H118 zenon_Hd6.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H65 | zenon_intro zenon_H158 ].
% 1.25/1.41 apply (zenon_L29_); trivial.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H14a | zenon_intro zenon_Hd7 ].
% 1.25/1.41 apply (zenon_L142_); trivial.
% 1.25/1.41 exact (zenon_Hd6 zenon_Hd7).
% 1.25/1.41 (* end of lemma zenon_L729_ *)
% 1.25/1.41 assert (zenon_L730_ : ((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(c2_1 (a2524))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(hskp10)) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp11)) -> False).
% 1.25/1.41 do 0 intro. intros zenon_H1b2 zenon_H11d zenon_H1fa zenon_H1fc zenon_H1fb zenon_Hd6 zenon_H66 zenon_H67 zenon_H68 zenon_H157 zenon_H11b.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H12. zenon_intro zenon_H1b4.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H1a4. zenon_intro zenon_H1b5.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H1a5. zenon_intro zenon_H1a6.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H102 | zenon_intro zenon_H11e ].
% 1.25/1.41 apply (zenon_L502_); trivial.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H118 | zenon_intro zenon_H11c ].
% 1.25/1.41 apply (zenon_L729_); trivial.
% 1.25/1.41 exact (zenon_H11b zenon_H11c).
% 1.25/1.41 (* end of lemma zenon_L730_ *)
% 1.25/1.41 assert (zenon_L731_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> (~(hskp21)) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> (~(hskp6)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> False).
% 1.25/1.41 do 0 intro. intros zenon_H1b7 zenon_H11d zenon_H11b zenon_H66 zenon_H67 zenon_H68 zenon_Hd6 zenon_H157 zenon_H3e zenon_H3a zenon_H26 zenon_H25 zenon_H24 zenon_H9 zenon_H1a2 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H1 zenon_H203 zenon_H51.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1b2 ].
% 1.25/1.41 apply (zenon_L430_); trivial.
% 1.25/1.41 apply (zenon_L730_); trivial.
% 1.25/1.41 (* end of lemma zenon_L731_ *)
% 1.25/1.41 assert (zenon_L732_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.25/1.41 do 0 intro. intros zenon_Hb6 zenon_H74 zenon_H54 zenon_H293 zenon_H282 zenon_H281 zenon_H280 zenon_H51 zenon_H203 zenon_H1 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H1a2 zenon_H3a zenon_H3e zenon_H157 zenon_H11b zenon_H11d zenon_H1b7 zenon_Hd9 zenon_Hd6 zenon_H1c7 zenon_Hbe zenon_Hbd zenon_Hbc zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_Hd zenon_Hfc zenon_Hb3.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.25/1.41 apply (zenon_L728_); trivial.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.41 apply (zenon_L731_); trivial.
% 1.25/1.41 apply (zenon_L704_); trivial.
% 1.25/1.41 (* end of lemma zenon_L732_ *)
% 1.25/1.41 assert (zenon_L733_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((hskp23)\/(hskp27)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.25/1.41 do 0 intro. intros zenon_Hfe zenon_Hb9 zenon_H11b zenon_H11d zenon_H1c7 zenon_Hfc zenon_Hb3 zenon_H74 zenon_H54 zenon_H293 zenon_Hd zenon_H282 zenon_H281 zenon_H280 zenon_H1b7 zenon_H51 zenon_H203 zenon_H1 zenon_H157 zenon_Hd6 zenon_H18b zenon_H3a zenon_H1a2 zenon_H289 zenon_Ha2 zenon_Hdd zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_H21 zenon_H1f zenon_H1fc zenon_H1fb zenon_H1fa zenon_H148 zenon_Hcb zenon_H144 zenon_H1e9 zenon_Hef zenon_Hd9 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H190.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.25/1.41 apply (zenon_L595_); trivial.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.41 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.25/1.41 apply (zenon_L521_); trivial.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1b2 ].
% 1.25/1.41 apply (zenon_L652_); trivial.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H12. zenon_intro zenon_H1b4.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H1a4. zenon_intro zenon_H1b5.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H1a5. zenon_intro zenon_H1a6.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ].
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H1d | zenon_intro zenon_H39 ].
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H131 | zenon_intro zenon_H145 ].
% 1.25/1.41 apply (zenon_L589_); trivial.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H93 | zenon_intro zenon_H6 ].
% 1.25/1.41 apply (zenon_L725_); trivial.
% 1.25/1.41 exact (zenon_H5 zenon_H6).
% 1.25/1.41 apply (zenon_L17_); trivial.
% 1.25/1.41 apply (zenon_L217_); trivial.
% 1.25/1.41 apply (zenon_L726_); trivial.
% 1.25/1.41 apply (zenon_L553_); trivial.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.25/1.41 apply (zenon_L62_); trivial.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H1d | zenon_intro zenon_H39 ].
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H131 | zenon_intro zenon_H145 ].
% 1.25/1.41 apply (zenon_L589_); trivial.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H93 | zenon_intro zenon_H6 ].
% 1.25/1.41 apply (zenon_L167_); trivial.
% 1.25/1.41 exact (zenon_H5 zenon_H6).
% 1.25/1.41 apply (zenon_L649_); trivial.
% 1.25/1.41 apply (zenon_L726_); trivial.
% 1.25/1.41 apply (zenon_L732_); trivial.
% 1.25/1.41 (* end of lemma zenon_L733_ *)
% 1.25/1.41 assert (zenon_L734_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> (~(hskp16)) -> (~(hskp19)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp9)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> False).
% 1.25/1.41 do 0 intro. intros zenon_Hef zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_H21 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H1e9 zenon_H5 zenon_H3 zenon_H144 zenon_Hcb zenon_H280 zenon_H281 zenon_H282 zenon_H1f zenon_H289 zenon_Hdd.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.25/1.41 apply (zenon_L515_); trivial.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H1d | zenon_intro zenon_H39 ].
% 1.25/1.41 apply (zenon_L593_); trivial.
% 1.25/1.41 apply (zenon_L649_); trivial.
% 1.25/1.41 (* end of lemma zenon_L734_ *)
% 1.25/1.41 assert (zenon_L735_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> (~(c2_1 (a2524))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> (~(c3_1 (a2553))) -> (c0_1 (a2553)) -> (~(c1_1 (a2553))) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))) -> (ndr1_0) -> (~(hskp24)) -> False).
% 1.25/1.41 do 0 intro. intros zenon_H216 zenon_H105 zenon_H103 zenon_H1fb zenon_H1fc zenon_H1fa zenon_H102 zenon_H18b zenon_H26 zenon_H25 zenon_H24 zenon_He0 zenon_He1 zenon_Hdf zenon_H93 zenon_H12 zenon_H7b.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H217 ].
% 1.25/1.41 apply (zenon_L183_); trivial.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H14a | zenon_intro zenon_H3f ].
% 1.25/1.41 apply (zenon_L229_); trivial.
% 1.25/1.41 apply (zenon_L392_); trivial.
% 1.25/1.41 (* end of lemma zenon_L735_ *)
% 1.25/1.41 assert (zenon_L736_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(hskp21)) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (~(c3_1 (a2553))) -> (c0_1 (a2553)) -> (~(c1_1 (a2553))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(hskp24)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(c1_1 (a2528))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> False).
% 1.25/1.41 do 0 intro. intros zenon_H92 zenon_H2ba zenon_H112 zenon_H282 zenon_H281 zenon_H280 zenon_H51 zenon_H203 zenon_H1 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H1a2 zenon_H9 zenon_H24 zenon_H25 zenon_H26 zenon_H3a zenon_H3e zenon_H144 zenon_H5 zenon_H103 zenon_H105 zenon_H18b zenon_He0 zenon_He1 zenon_Hdf zenon_H216 zenon_H7b zenon_H7f zenon_H10d zenon_H11b zenon_H11d zenon_H1b7.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1b2 ].
% 1.25/1.41 apply (zenon_L430_); trivial.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H12. zenon_intro zenon_H1b4.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H1a4. zenon_intro zenon_H1b5.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H1a5. zenon_intro zenon_H1a6.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H102 | zenon_intro zenon_H11e ].
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H131 | zenon_intro zenon_H145 ].
% 1.25/1.41 apply (zenon_L239_); trivial.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H93 | zenon_intro zenon_H6 ].
% 1.25/1.41 apply (zenon_L735_); trivial.
% 1.25/1.41 exact (zenon_H5 zenon_H6).
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H118 | zenon_intro zenon_H11c ].
% 1.25/1.41 apply (zenon_L578_); trivial.
% 1.25/1.41 exact (zenon_H11b zenon_H11c).
% 1.25/1.41 apply (zenon_L670_); trivial.
% 1.25/1.41 (* end of lemma zenon_L736_ *)
% 1.25/1.41 assert (zenon_L737_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp9)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a2528))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(hskp6)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> (~(hskp8)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.25/1.41 do 0 intro. intros zenon_Hfe zenon_Hb9 zenon_Hef zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_H21 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H1e9 zenon_H144 zenon_Hcb zenon_H280 zenon_H281 zenon_H282 zenon_H1f zenon_H289 zenon_Hdd zenon_Ha2 zenon_H1b7 zenon_H11d zenon_H11b zenon_H10d zenon_H7f zenon_H216 zenon_H18b zenon_H105 zenon_H103 zenon_H3a zenon_H1a2 zenon_H1 zenon_H203 zenon_H51 zenon_H112 zenon_H2ba zenon_H92 zenon_Hd zenon_H293 zenon_H54 zenon_H74.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.25/1.41 apply (zenon_L734_); trivial.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.41 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.25/1.41 apply (zenon_L521_); trivial.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.25/1.41 apply (zenon_L736_); trivial.
% 1.25/1.41 apply (zenon_L726_); trivial.
% 1.25/1.41 apply (zenon_L553_); trivial.
% 1.25/1.41 apply (zenon_L669_); trivial.
% 1.25/1.41 (* end of lemma zenon_L737_ *)
% 1.25/1.41 assert (zenon_L738_ : ((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> (~(hskp21)) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> (~(hskp6)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> False).
% 1.25/1.41 do 0 intro. intros zenon_Hea zenon_H1b7 zenon_H2b4 zenon_H121 zenon_H122 zenon_H216 zenon_H105 zenon_H103 zenon_H10d zenon_H189 zenon_H298 zenon_H297 zenon_H296 zenon_H280 zenon_H281 zenon_H282 zenon_Hd zenon_H293 zenon_H3e zenon_H3a zenon_H26 zenon_H25 zenon_H24 zenon_H9 zenon_H1a2 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H1 zenon_H203 zenon_H51.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1b2 ].
% 1.25/1.41 apply (zenon_L430_); trivial.
% 1.25/1.41 apply (zenon_L667_); trivial.
% 1.25/1.41 (* end of lemma zenon_L738_ *)
% 1.25/1.41 assert (zenon_L739_ : ((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((hskp23)\/(hskp27)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> (~(hskp6)) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.25/1.41 do 0 intro. intros zenon_H71 zenon_H54 zenon_Hdd zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H21 zenon_H1f zenon_H1fc zenon_H1fb zenon_H1fa zenon_H146 zenon_H148 zenon_Hcb zenon_H51 zenon_H203 zenon_H1 zenon_H1a2 zenon_H3a zenon_H293 zenon_Hd zenon_H282 zenon_H281 zenon_H280 zenon_H189 zenon_H10d zenon_H103 zenon_H105 zenon_H216 zenon_H122 zenon_H121 zenon_H1b7 zenon_Hef.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.41 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.25/1.41 apply (zenon_L591_); trivial.
% 1.25/1.41 apply (zenon_L738_); trivial.
% 1.25/1.41 apply (zenon_L553_); trivial.
% 1.25/1.41 (* end of lemma zenon_L739_ *)
% 1.25/1.41 assert (zenon_L740_ : ((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> False).
% 1.25/1.41 do 0 intro. intros zenon_Hb2 zenon_Hef zenon_H189 zenon_H182 zenon_H181 zenon_H180 zenon_Hcb zenon_H280 zenon_H281 zenon_H282 zenon_Hd zenon_H293 zenon_Hdd.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.25/1.41 apply (zenon_L521_); trivial.
% 1.25/1.41 apply (zenon_L409_); trivial.
% 1.25/1.41 (* end of lemma zenon_L740_ *)
% 1.25/1.41 assert (zenon_L741_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> False).
% 1.25/1.41 do 0 intro. intros zenon_H18d zenon_Hba zenon_Hef zenon_H189 zenon_Hcb zenon_H280 zenon_H281 zenon_H282 zenon_Hd zenon_H293 zenon_Hdd zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H177.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.25/1.41 apply (zenon_L224_); trivial.
% 1.25/1.41 apply (zenon_L740_); trivial.
% 1.25/1.41 (* end of lemma zenon_L741_ *)
% 1.25/1.41 assert (zenon_L742_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> (~(hskp6)) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((hskp23)\/(hskp27)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (~(c3_1 (a2531))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.25/1.41 do 0 intro. intros zenon_Hfe zenon_Hb9 zenon_H2ba zenon_H112 zenon_H74 zenon_H54 zenon_H148 zenon_H51 zenon_H203 zenon_H1 zenon_H1a2 zenon_H3a zenon_H293 zenon_Hd zenon_H189 zenon_H10d zenon_H103 zenon_H105 zenon_H216 zenon_H122 zenon_H121 zenon_H1b7 zenon_Hdd zenon_H289 zenon_H1f zenon_H282 zenon_H281 zenon_H280 zenon_Hcb zenon_H144 zenon_H1e9 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H21 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_Hef zenon_H177 zenon_H20d zenon_H120 zenon_H1bc zenon_Hba zenon_H190.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.41 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.41 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.41 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.25/1.41 apply (zenon_L734_); trivial.
% 1.25/1.41 apply (zenon_L739_); trivial.
% 1.25/1.41 apply (zenon_L741_); trivial.
% 1.25/1.41 apply (zenon_L669_); trivial.
% 1.25/1.41 (* end of lemma zenon_L742_ *)
% 1.25/1.41 assert (zenon_L743_ : ((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (~(hskp24)) -> (~(c1_1 (a2553))) -> (c0_1 (a2553)) -> (~(c3_1 (a2553))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (~(hskp16)) -> False).
% 1.25/1.42 do 0 intro. intros zenon_H1b2 zenon_H144 zenon_H134 zenon_H133 zenon_H132 zenon_H7b zenon_Hdf zenon_He1 zenon_He0 zenon_H157 zenon_Hd6 zenon_H18b zenon_H5.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H12. zenon_intro zenon_H1b4.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H1a4. zenon_intro zenon_H1b5.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H1a5. zenon_intro zenon_H1a6.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H131 | zenon_intro zenon_H145 ].
% 1.25/1.42 apply (zenon_L93_); trivial.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H93 | zenon_intro zenon_H6 ].
% 1.25/1.42 apply (zenon_L725_); trivial.
% 1.25/1.42 exact (zenon_H5 zenon_H6).
% 1.25/1.42 (* end of lemma zenon_L743_ *)
% 1.25/1.42 assert (zenon_L744_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(c3_1 (a2531))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((hskp6)\/((hskp19)\/(hskp16))) -> (~(hskp16)) -> (~(hskp6)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.25/1.42 do 0 intro. intros zenon_H190 zenon_Hba zenon_H1bc zenon_H120 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H177 zenon_H7 zenon_H5 zenon_H1 zenon_Hef zenon_H1b7 zenon_H121 zenon_H122 zenon_H216 zenon_H105 zenon_H103 zenon_H10d zenon_H189 zenon_Hd zenon_H293 zenon_H1a2 zenon_H282 zenon_H281 zenon_H280 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_Hdd zenon_H54 zenon_H74.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.42 apply (zenon_L688_); trivial.
% 1.25/1.42 apply (zenon_L741_); trivial.
% 1.25/1.42 (* end of lemma zenon_L744_ *)
% 1.25/1.42 assert (zenon_L745_ : ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> (~(c3_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c1_1 (a2533))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (ndr1_0) -> (~(hskp14)) -> False).
% 1.25/1.42 do 0 intro. intros zenon_H254 zenon_H2a7 zenon_H2a6 zenon_H2a5 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H12 zenon_He8.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H255 ].
% 1.25/1.42 apply (zenon_L533_); trivial.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H1f9 | zenon_intro zenon_He9 ].
% 1.25/1.42 apply (zenon_L216_); trivial.
% 1.25/1.42 exact (zenon_He8 zenon_He9).
% 1.25/1.42 (* end of lemma zenon_L745_ *)
% 1.25/1.42 assert (zenon_L746_ : ((ndr1_0)/\((~(c1_1 (a2533)))/\((~(c2_1 (a2533)))/\(~(c3_1 (a2533)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> ((hskp23)\/(hskp27)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(c3_1 (a2531))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> (~(hskp4)) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> False).
% 1.25/1.42 do 0 intro. intros zenon_H2af zenon_H101 zenon_H1b9 zenon_H54 zenon_H21 zenon_Hdd zenon_H289 zenon_H1f zenon_Hcb zenon_H3e zenon_H1a2 zenon_H189 zenon_Hd6 zenon_H157 zenon_H1bc zenon_H120 zenon_H1b3 zenon_H177 zenon_H1b7 zenon_Hef zenon_H293 zenon_Hd zenon_H282 zenon_H281 zenon_H280 zenon_H296 zenon_H297 zenon_H298 zenon_H63 zenon_H5f zenon_H122 zenon_H121 zenon_H2b4 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H254.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.42 apply (zenon_L745_); trivial.
% 1.25/1.42 apply (zenon_L660_); trivial.
% 1.25/1.42 (* end of lemma zenon_L746_ *)
% 1.25/1.42 assert (zenon_L747_ : ((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (~(hskp18)) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> False).
% 1.25/1.42 do 0 intro. intros zenon_Had zenon_H177 zenon_H20d zenon_Hb zenon_H1fc zenon_H1fb zenon_H1fa zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H105 zenon_H103 zenon_H10d zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e5.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.25/1.42 apply (zenon_L317_); trivial.
% 1.25/1.42 apply (zenon_L223_); trivial.
% 1.25/1.42 (* end of lemma zenon_L747_ *)
% 1.25/1.42 assert (zenon_L748_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (~(hskp18)) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (ndr1_0) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(hskp19)) -> (~(hskp9)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> False).
% 1.25/1.42 do 0 intro. intros zenon_Hb3 zenon_H177 zenon_H20d zenon_Hb zenon_H1fc zenon_H1fb zenon_H1fa zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H105 zenon_H103 zenon_H10d zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e5 zenon_H12 zenon_H280 zenon_H281 zenon_H282 zenon_H1c7 zenon_H3 zenon_H1f zenon_H289.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.25/1.42 apply (zenon_L664_); trivial.
% 1.25/1.42 apply (zenon_L747_); trivial.
% 1.25/1.42 (* end of lemma zenon_L748_ *)
% 1.25/1.42 assert (zenon_L749_ : ((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> (~(hskp6)) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((hskp23)\/(hskp27)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> (~(hskp16)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.25/1.42 do 0 intro. intros zenon_Hb2 zenon_H74 zenon_H54 zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H21 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H146 zenon_H148 zenon_H51 zenon_H203 zenon_H1 zenon_H1a2 zenon_H3a zenon_H293 zenon_Hd zenon_H189 zenon_H10d zenon_H103 zenon_H105 zenon_H216 zenon_H122 zenon_H121 zenon_H1b7 zenon_H289 zenon_H1f zenon_H1c7 zenon_H282 zenon_H281 zenon_H280 zenon_Hdd zenon_Hcb zenon_H1e9 zenon_H5 zenon_H1f3 zenon_Hef zenon_Hb3.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.25/1.42 apply (zenon_L666_); trivial.
% 1.25/1.42 apply (zenon_L739_); trivial.
% 1.25/1.42 (* end of lemma zenon_L749_ *)
% 1.25/1.42 assert (zenon_L750_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> (~(hskp15)) -> (~(hskp4)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(c3_1 (a2531))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(c2_1 (a2524))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> (~(hskp10)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> False).
% 1.25/1.42 do 0 intro. intros zenon_Hb6 zenon_Hba zenon_H63 zenon_H61 zenon_H5f zenon_Hef zenon_H1b7 zenon_H177 zenon_H20d zenon_H293 zenon_Hd zenon_H282 zenon_H281 zenon_H280 zenon_H1b3 zenon_H120 zenon_H1bc zenon_H121 zenon_H122 zenon_H189 zenon_H1fa zenon_H1fc zenon_H1fb zenon_H157 zenon_H1a2 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_Hcb zenon_Hbc zenon_Hbd zenon_Hbe zenon_Hd6 zenon_Hd9 zenon_Hdd zenon_H54.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.42 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.25/1.42 apply (zenon_L62_); trivial.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1b2 ].
% 1.25/1.42 apply (zenon_L552_); trivial.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H12. zenon_intro zenon_H1b4.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H1a4. zenon_intro zenon_H1b5.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H1a5. zenon_intro zenon_H1a6.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H2b5 ].
% 1.25/1.42 apply (zenon_L522_); trivial.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H295 | zenon_intro zenon_H2d ].
% 1.25/1.42 apply (zenon_L528_); trivial.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H102 | zenon_intro zenon_H1b6 ].
% 1.25/1.42 apply (zenon_L502_); trivial.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H93 | zenon_intro zenon_H14a ].
% 1.25/1.42 apply (zenon_L558_); trivial.
% 1.25/1.42 apply (zenon_L344_); trivial.
% 1.25/1.42 apply (zenon_L223_); trivial.
% 1.25/1.42 apply (zenon_L704_); trivial.
% 1.25/1.42 apply (zenon_L97_); trivial.
% 1.25/1.42 (* end of lemma zenon_L750_ *)
% 1.25/1.42 assert (zenon_L751_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (~(hskp11)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (~(c2_1 (a2524))) -> (c3_1 (a2524)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp1)) -> False).
% 1.25/1.42 do 0 intro. intros zenon_H18d zenon_H293 zenon_H282 zenon_H281 zenon_H280 zenon_H11b zenon_H223 zenon_H68 zenon_H67 zenon_H66 zenon_H105 zenon_H103 zenon_H10d zenon_H1fa zenon_H1fc zenon_H11d zenon_Hd.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H27f | zenon_intro zenon_H294 ].
% 1.25/1.42 apply (zenon_L513_); trivial.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_Hcc | zenon_intro zenon_He ].
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H102 | zenon_intro zenon_H11e ].
% 1.25/1.42 apply (zenon_L375_); trivial.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H118 | zenon_intro zenon_H11c ].
% 1.25/1.42 apply (zenon_L115_); trivial.
% 1.25/1.42 exact (zenon_H11b zenon_H11c).
% 1.25/1.42 exact (zenon_Hd zenon_He).
% 1.25/1.42 (* end of lemma zenon_L751_ *)
% 1.25/1.42 assert (zenon_L752_ : ((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (~(c3_1 (a2553))) -> (c0_1 (a2553)) -> (~(c1_1 (a2553))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (~(hskp21)) -> (~(c0_1 (a2539))) -> (~(c2_1 (a2539))) -> (c3_1 (a2539)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp11)) -> False).
% 1.25/1.42 do 0 intro. intros zenon_H1b2 zenon_H11d zenon_H241 zenon_He0 zenon_He1 zenon_Hdf zenon_H227 zenon_H226 zenon_H225 zenon_H9 zenon_H191 zenon_H192 zenon_H193 zenon_H1b3 zenon_H11b.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H12. zenon_intro zenon_H1b4.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H1a4. zenon_intro zenon_H1b5.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H1a5. zenon_intro zenon_H1a6.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H102 | zenon_intro zenon_H11e ].
% 1.25/1.42 apply (zenon_L125_); trivial.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H118 | zenon_intro zenon_H11c ].
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H102 | zenon_intro zenon_H1b6 ].
% 1.25/1.42 apply (zenon_L125_); trivial.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H93 | zenon_intro zenon_H14a ].
% 1.25/1.42 apply (zenon_L291_); trivial.
% 1.25/1.42 apply (zenon_L142_); trivial.
% 1.25/1.42 exact (zenon_H11b zenon_H11c).
% 1.25/1.42 (* end of lemma zenon_L752_ *)
% 1.25/1.42 assert (zenon_L753_ : ((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((hskp23)\/(hskp27)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.25/1.42 do 0 intro. intros zenon_H19a zenon_H54 zenon_H21 zenon_Hdd zenon_H289 zenon_H1f zenon_H282 zenon_H281 zenon_H280 zenon_Hcb zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_H1a2 zenon_H1b3 zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_H11b zenon_H11d zenon_H1b7 zenon_Hef.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.42 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.25/1.42 apply (zenon_L515_); trivial.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1b2 ].
% 1.25/1.42 apply (zenon_L652_); trivial.
% 1.25/1.42 apply (zenon_L752_); trivial.
% 1.25/1.42 apply (zenon_L650_); trivial.
% 1.25/1.42 (* end of lemma zenon_L753_ *)
% 1.25/1.42 assert (zenon_L754_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> (~(hskp14)) -> (~(hskp20)) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp9)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> False).
% 1.25/1.42 do 0 intro. intros zenon_Hef zenon_Heb zenon_He8 zenon_H77 zenon_Hcb zenon_H280 zenon_H281 zenon_H282 zenon_H1f zenon_H289 zenon_Hdd.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.25/1.42 apply (zenon_L515_); trivial.
% 1.25/1.42 apply (zenon_L65_); trivial.
% 1.25/1.42 (* end of lemma zenon_L754_ *)
% 1.25/1.42 assert (zenon_L755_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c2_1 (a2549)) -> (~(c1_1 (a2549))) -> (~(c0_1 (a2549))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (~(c3_1 (a2553))) -> (c0_1 (a2553)) -> (~(c1_1 (a2553))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (ndr1_0) -> (~(hskp21)) -> False).
% 1.25/1.42 do 0 intro. intros zenon_H1f3 zenon_Ha6 zenon_Ha5 zenon_Ha4 zenon_H122 zenon_H121 zenon_H2d zenon_H241 zenon_He0 zenon_He1 zenon_Hdf zenon_H227 zenon_H226 zenon_H225 zenon_H12 zenon_H9.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H1f4 ].
% 1.25/1.42 apply (zenon_L47_); trivial.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H55 | zenon_intro zenon_H93 ].
% 1.25/1.42 apply (zenon_L158_); trivial.
% 1.25/1.42 apply (zenon_L291_); trivial.
% 1.25/1.42 (* end of lemma zenon_L755_ *)
% 1.25/1.42 assert (zenon_L756_ : ((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.25/1.42 do 0 intro. intros zenon_Had zenon_H54 zenon_H3e zenon_H21 zenon_Hdd zenon_H289 zenon_H1f zenon_H282 zenon_H281 zenon_H280 zenon_Hcb zenon_H296 zenon_H297 zenon_H298 zenon_H1f3 zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_H122 zenon_H121 zenon_H2b4 zenon_Hef.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.42 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.25/1.42 apply (zenon_L515_); trivial.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H2b5 ].
% 1.25/1.42 apply (zenon_L518_); trivial.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H295 | zenon_intro zenon_H2d ].
% 1.25/1.42 apply (zenon_L528_); trivial.
% 1.25/1.42 apply (zenon_L755_); trivial.
% 1.25/1.42 apply (zenon_L650_); trivial.
% 1.25/1.42 (* end of lemma zenon_L756_ *)
% 1.25/1.42 assert (zenon_L757_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((hskp23)\/(hskp27)) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.25/1.42 do 0 intro. intros zenon_Hb3 zenon_H54 zenon_H3e zenon_H21 zenon_H296 zenon_H297 zenon_H298 zenon_H1f3 zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_H122 zenon_H121 zenon_H2b4 zenon_Hdd zenon_H289 zenon_H1f zenon_H282 zenon_H281 zenon_H280 zenon_Hcb zenon_He8 zenon_Heb zenon_Hef.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.25/1.42 apply (zenon_L754_); trivial.
% 1.25/1.42 apply (zenon_L756_); trivial.
% 1.25/1.42 (* end of lemma zenon_L757_ *)
% 1.25/1.42 assert (zenon_L758_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((hskp23)\/(hskp27)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> (~(hskp10)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> False).
% 1.25/1.42 do 0 intro. intros zenon_H12e zenon_H189 zenon_H157 zenon_H1bc zenon_H1f3 zenon_Hb3 zenon_Hfc zenon_Hdd zenon_H293 zenon_Hd zenon_H282 zenon_H281 zenon_H280 zenon_Hcb zenon_Heb zenon_Hef zenon_Hba zenon_H63 zenon_H5f zenon_H1b7 zenon_H177 zenon_H230 zenon_H20d zenon_H225 zenon_H226 zenon_H227 zenon_Hd6 zenon_H152 zenon_H1a2 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_H21 zenon_H1f zenon_H54 zenon_H11d zenon_H241 zenon_H1b3 zenon_H289 zenon_H1b9 zenon_H101.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.42 apply (zenon_L524_); trivial.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.25/1.42 apply (zenon_L555_); trivial.
% 1.25/1.42 apply (zenon_L753_); trivial.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.42 apply (zenon_L757_); trivial.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.25/1.42 apply (zenon_L555_); trivial.
% 1.25/1.42 apply (zenon_L659_); trivial.
% 1.25/1.42 (* end of lemma zenon_L758_ *)
% 1.25/1.42 assert (zenon_L759_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((hskp23)\/(hskp27)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> (~(hskp7)) -> (~(hskp8)) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.25/1.42 do 0 intro. intros zenon_H54 zenon_H21 zenon_Hdd zenon_H289 zenon_H1f zenon_H282 zenon_H281 zenon_H280 zenon_Hcb zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_H1a2 zenon_H116 zenon_H114 zenon_H112 zenon_H105 zenon_H103 zenon_H10d zenon_H1b3 zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_H11b zenon_H11d zenon_H1b7 zenon_Hef.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.42 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.25/1.42 apply (zenon_L515_); trivial.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1b2 ].
% 1.25/1.42 apply (zenon_L652_); trivial.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H12. zenon_intro zenon_H1b4.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H1a4. zenon_intro zenon_H1b5.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H1a5. zenon_intro zenon_H1a6.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H102 | zenon_intro zenon_H11e ].
% 1.25/1.42 apply (zenon_L79_); trivial.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H118 | zenon_intro zenon_H11c ].
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H102 | zenon_intro zenon_H1b6 ].
% 1.25/1.42 apply (zenon_L79_); trivial.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H93 | zenon_intro zenon_H14a ].
% 1.25/1.42 apply (zenon_L291_); trivial.
% 1.25/1.42 apply (zenon_L142_); trivial.
% 1.25/1.42 exact (zenon_H11b zenon_H11c).
% 1.25/1.42 apply (zenon_L650_); trivial.
% 1.25/1.42 (* end of lemma zenon_L759_ *)
% 1.25/1.42 assert (zenon_L760_ : ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))) -> (~(c1_1 (a2548))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (ndr1_0) -> (c1_1 (a2556)) -> (c2_1 (a2556)) -> (c3_1 (a2556)) -> False).
% 1.25/1.42 do 0 intro. intros zenon_H230 zenon_H26 zenon_H25 zenon_H3f zenon_H24 zenon_H227 zenon_H226 zenon_H225 zenon_H12 zenon_H15a zenon_H15b zenon_H15c.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H118 | zenon_intro zenon_H231 ].
% 1.25/1.42 apply (zenon_L361_); trivial.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H154 | zenon_intro zenon_H159 ].
% 1.25/1.42 apply (zenon_L256_); trivial.
% 1.25/1.42 apply (zenon_L106_); trivial.
% 1.25/1.42 (* end of lemma zenon_L760_ *)
% 1.25/1.42 assert (zenon_L761_ : ((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (c0_1 (a2601)) -> (c3_1 (a2601)) -> (~(c2_1 (a2601))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> False).
% 1.25/1.42 do 0 intro. intros zenon_H173 zenon_H216 zenon_H10d zenon_H103 zenon_H105 zenon_H1a4 zenon_H1a5 zenon_H1a6 zenon_H230 zenon_H26 zenon_H25 zenon_H24 zenon_H227 zenon_H226 zenon_H225.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H217 ].
% 1.25/1.42 apply (zenon_L280_); trivial.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H14a | zenon_intro zenon_H3f ].
% 1.25/1.42 apply (zenon_L346_); trivial.
% 1.25/1.42 apply (zenon_L760_); trivial.
% 1.25/1.42 (* end of lemma zenon_L761_ *)
% 1.25/1.42 assert (zenon_L762_ : ((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> False).
% 1.25/1.42 do 0 intro. intros zenon_H1b2 zenon_H177 zenon_H225 zenon_H226 zenon_H227 zenon_H230 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H105 zenon_H103 zenon_H10d zenon_H26 zenon_H25 zenon_H24 zenon_H216.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H12. zenon_intro zenon_H1b4.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H1a4. zenon_intro zenon_H1b5.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H1a5. zenon_intro zenon_H1a6.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.25/1.42 apply (zenon_L697_); trivial.
% 1.25/1.42 apply (zenon_L761_); trivial.
% 1.25/1.42 (* end of lemma zenon_L762_ *)
% 1.25/1.42 assert (zenon_L763_ : ((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp9)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> False).
% 1.25/1.42 do 0 intro. intros zenon_H71 zenon_H54 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H21 zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_H280 zenon_H281 zenon_H282 zenon_H1f zenon_H289 zenon_H1a2 zenon_H216 zenon_H10d zenon_H103 zenon_H105 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H230 zenon_H227 zenon_H226 zenon_H225 zenon_H177 zenon_H1b7.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1b2 ].
% 1.25/1.42 apply (zenon_L652_); trivial.
% 1.25/1.42 apply (zenon_L762_); trivial.
% 1.25/1.42 apply (zenon_L553_); trivial.
% 1.25/1.42 (* end of lemma zenon_L763_ *)
% 1.25/1.42 assert (zenon_L764_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> ((hskp23)\/(hskp27)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(hskp9)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(c3_1 (a2531))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.25/1.42 do 0 intro. intros zenon_Hfe zenon_Hb9 zenon_H241 zenon_Hb3 zenon_Hef zenon_H2b4 zenon_H121 zenon_H122 zenon_H1e9 zenon_H1f3 zenon_H298 zenon_H297 zenon_H296 zenon_Hcb zenon_Hdd zenon_H280 zenon_H281 zenon_H282 zenon_H1c7 zenon_H1f zenon_H289 zenon_H1b7 zenon_H177 zenon_H225 zenon_H226 zenon_H227 zenon_H230 zenon_H1bc zenon_H120 zenon_H105 zenon_H103 zenon_H10d zenon_H216 zenon_H1a2 zenon_H3e zenon_H21 zenon_H54 zenon_H74.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.25/1.42 apply (zenon_L695_); trivial.
% 1.25/1.42 apply (zenon_L763_); trivial.
% 1.25/1.42 apply (zenon_L556_); trivial.
% 1.25/1.42 (* end of lemma zenon_L764_ *)
% 1.25/1.42 assert (zenon_L765_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp16)) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> (~(hskp21)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> False).
% 1.25/1.42 do 0 intro. intros zenon_Hef zenon_H144 zenon_H5 zenon_H225 zenon_H226 zenon_H227 zenon_H9 zenon_H241 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H280 zenon_H281 zenon_H282 zenon_Hd zenon_H293 zenon_Hdd.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.25/1.42 apply (zenon_L521_); trivial.
% 1.25/1.42 apply (zenon_L292_); trivial.
% 1.25/1.42 (* end of lemma zenon_L765_ *)
% 1.25/1.42 assert (zenon_L766_ : ((ndr1_0)/\((c1_1 (a2526))/\((c3_1 (a2526))/\(~(c0_1 (a2526)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> False).
% 1.25/1.42 do 0 intro. intros zenon_H1f6 zenon_Hb9 zenon_Hef zenon_H144 zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_Hcb zenon_H280 zenon_H281 zenon_H282 zenon_Hd zenon_H293 zenon_Hdd zenon_H92 zenon_H2ba zenon_H112 zenon_H7f zenon_Ha2 zenon_H54.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.42 apply (zenon_L765_); trivial.
% 1.25/1.42 apply (zenon_L672_); trivial.
% 1.25/1.42 apply (zenon_L673_); trivial.
% 1.25/1.42 (* end of lemma zenon_L766_ *)
% 1.25/1.42 assert (zenon_L767_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (ndr1_0) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(hskp19)) -> (~(hskp9)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> False).
% 1.25/1.42 do 0 intro. intros zenon_Hb3 zenon_H177 zenon_H225 zenon_H226 zenon_H227 zenon_H230 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H105 zenon_H103 zenon_H10d zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e5 zenon_H12 zenon_H280 zenon_H281 zenon_H282 zenon_H1c7 zenon_H3 zenon_H1f zenon_H289.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.25/1.42 apply (zenon_L664_); trivial.
% 1.25/1.42 apply (zenon_L319_); trivial.
% 1.25/1.42 (* end of lemma zenon_L767_ *)
% 1.25/1.42 assert (zenon_L768_ : ((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((hskp23)\/(hskp27)) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.25/1.42 do 0 intro. intros zenon_H71 zenon_Hb3 zenon_H1ea zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_Hdd zenon_H289 zenon_H1f zenon_H282 zenon_H281 zenon_H280 zenon_Hcb zenon_He8 zenon_Heb zenon_Hef.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.25/1.42 apply (zenon_L754_); trivial.
% 1.25/1.42 apply (zenon_L196_); trivial.
% 1.25/1.42 (* end of lemma zenon_L768_ *)
% 1.25/1.42 assert (zenon_L769_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((hskp23)\/(hskp27)) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (ndr1_0) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.25/1.42 do 0 intro. intros zenon_H74 zenon_H1ea zenon_Hdd zenon_Hcb zenon_He8 zenon_Heb zenon_Hef zenon_H289 zenon_H1f zenon_H1c7 zenon_H282 zenon_H281 zenon_H280 zenon_H12 zenon_H1e5 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H10d zenon_H103 zenon_H105 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H230 zenon_H227 zenon_H226 zenon_H225 zenon_H177 zenon_Hb3.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.25/1.42 apply (zenon_L767_); trivial.
% 1.25/1.42 apply (zenon_L768_); trivial.
% 1.25/1.42 (* end of lemma zenon_L769_ *)
% 1.25/1.42 assert (zenon_L770_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> False).
% 1.25/1.42 do 0 intro. intros zenon_Hb6 zenon_H54 zenon_H293 zenon_Hd zenon_Hd6 zenon_H157 zenon_H282 zenon_H281 zenon_H280 zenon_H225 zenon_H226 zenon_H227 zenon_H241.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.42 apply (zenon_L295_); trivial.
% 1.25/1.42 apply (zenon_L704_); trivial.
% 1.25/1.42 (* end of lemma zenon_L770_ *)
% 1.25/1.42 assert (zenon_L771_ : ((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c1_1 (a2533)))/\((~(c2_1 (a2533)))/\(~(c3_1 (a2533))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((hskp23)\/(hskp27)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp12))) -> False).
% 1.25/1.42 do 0 intro. intros zenon_H12b zenon_H2ae zenon_H190 zenon_H177 zenon_H230 zenon_H227 zenon_H226 zenon_H225 zenon_H1bc zenon_Hb3 zenon_H2b4 zenon_H1f3 zenon_H132 zenon_H133 zenon_H134 zenon_H280 zenon_H281 zenon_H282 zenon_H148 zenon_H1c7 zenon_Hef zenon_H1b7 zenon_H216 zenon_H105 zenon_H103 zenon_H10d zenon_H189 zenon_Hd zenon_H293 zenon_H1a2 zenon_H3e zenon_Hcb zenon_Hdd zenon_H54 zenon_H74 zenon_H296 zenon_H297 zenon_H298 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H2a3.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.25/1.42 apply (zenon_L532_); trivial.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.42 apply (zenon_L723_); trivial.
% 1.25/1.42 apply (zenon_L343_); trivial.
% 1.25/1.42 (* end of lemma zenon_L771_ *)
% 1.25/1.42 assert (zenon_L772_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((hskp23)\/(hskp27)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp16)) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.25/1.42 do 0 intro. intros zenon_H54 zenon_Hdd zenon_H289 zenon_H1f zenon_H282 zenon_H281 zenon_H280 zenon_Hcb zenon_H144 zenon_H5 zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H21 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_Hef.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.42 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.25/1.42 apply (zenon_L515_); trivial.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H1d | zenon_intro zenon_H39 ].
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H131 | zenon_intro zenon_H145 ].
% 1.25/1.42 apply (zenon_L589_); trivial.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H93 | zenon_intro zenon_H6 ].
% 1.25/1.42 apply (zenon_L291_); trivial.
% 1.25/1.42 exact (zenon_H5 zenon_H6).
% 1.25/1.42 apply (zenon_L649_); trivial.
% 1.25/1.42 apply (zenon_L650_); trivial.
% 1.25/1.42 (* end of lemma zenon_L772_ *)
% 1.25/1.42 assert (zenon_L773_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp9)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> False).
% 1.25/1.42 do 0 intro. intros zenon_Hb9 zenon_H2ba zenon_H112 zenon_Hef zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_H21 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H241 zenon_H227 zenon_H226 zenon_H225 zenon_H144 zenon_Hcb zenon_H280 zenon_H281 zenon_H282 zenon_H1f zenon_H289 zenon_Hdd zenon_H54.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.42 apply (zenon_L772_); trivial.
% 1.25/1.42 apply (zenon_L669_); trivial.
% 1.25/1.42 (* end of lemma zenon_L773_ *)
% 1.25/1.42 assert (zenon_L774_ : ((~(hskp12))\/((ndr1_0)/\((~(c1_1 (a2533)))/\((~(c2_1 (a2533)))/\(~(c3_1 (a2533))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp9)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> (ndr1_0) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp12))) -> False).
% 1.25/1.42 do 0 intro. intros zenon_H2ae zenon_H101 zenon_Hb9 zenon_Hef zenon_H3e zenon_H2b4 zenon_H21 zenon_H241 zenon_H227 zenon_H226 zenon_H225 zenon_H144 zenon_Hcb zenon_H280 zenon_H281 zenon_H282 zenon_H1f zenon_H289 zenon_Hdd zenon_H54 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H254 zenon_H12 zenon_H296 zenon_H297 zenon_H298 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H2a3.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.25/1.42 apply (zenon_L532_); trivial.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.42 apply (zenon_L745_); trivial.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.42 apply (zenon_L772_); trivial.
% 1.25/1.42 apply (zenon_L556_); trivial.
% 1.25/1.42 (* end of lemma zenon_L774_ *)
% 1.25/1.42 assert (zenon_L775_ : ((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.25/1.42 do 0 intro. intros zenon_H19a zenon_Hb9 zenon_Hd6 zenon_H157 zenon_H54 zenon_H2b4 zenon_H1d8 zenon_H1d9 zenon_H1b3 zenon_H298 zenon_H297 zenon_H296 zenon_H280 zenon_H281 zenon_H282 zenon_Hd zenon_H293 zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H241 zenon_H227 zenon_H226 zenon_H225 zenon_H144 zenon_Hef zenon_H11b zenon_H11d zenon_H190.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.42 apply (zenon_L293_); trivial.
% 1.25/1.42 apply (zenon_L708_); trivial.
% 1.25/1.42 apply (zenon_L126_); trivial.
% 1.25/1.42 apply (zenon_L770_); trivial.
% 1.25/1.42 (* end of lemma zenon_L775_ *)
% 1.25/1.42 assert (zenon_L776_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> False).
% 1.25/1.42 do 0 intro. intros zenon_H18d zenon_Hba zenon_Hef zenon_H189 zenon_Hcb zenon_H280 zenon_H281 zenon_H282 zenon_Hd zenon_H293 zenon_Hdd zenon_H152 zenon_Hd6 zenon_H227 zenon_H226 zenon_H225 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H177.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.25/1.42 apply (zenon_L324_); trivial.
% 1.25/1.42 apply (zenon_L740_); trivial.
% 1.25/1.42 (* end of lemma zenon_L776_ *)
% 1.25/1.42 assert (zenon_L777_ : ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(c1_1 (a2528))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31)))))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c1_1 (a2564))) -> (~(c2_1 (a2564))) -> (c0_1 (a2564)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (ndr1_0) -> (forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (~(hskp16)) -> False).
% 1.25/1.42 do 0 intro. intros zenon_H144 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H10d zenon_H102 zenon_H103 zenon_H105 zenon_H82 zenon_H83 zenon_H84 zenon_H223 zenon_H1d9 zenon_H1d8 zenon_H12 zenon_H2d zenon_H5.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H131 | zenon_intro zenon_H145 ].
% 1.25/1.42 apply (zenon_L243_); trivial.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H93 | zenon_intro zenon_H6 ].
% 1.25/1.42 apply (zenon_L298_); trivial.
% 1.25/1.42 exact (zenon_H5 zenon_H6).
% 1.25/1.42 (* end of lemma zenon_L777_ *)
% 1.25/1.42 assert (zenon_L778_ : ((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> (~(hskp16)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> False).
% 1.25/1.42 do 0 intro. intros zenon_H50 zenon_Ha2 zenon_H7f zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_H11d zenon_H11b zenon_H148 zenon_H146 zenon_H134 zenon_H133 zenon_H132 zenon_H24 zenon_H25 zenon_H26 zenon_H216 zenon_H223 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H105 zenon_H103 zenon_H10d zenon_H1d8 zenon_H1d9 zenon_H5 zenon_H144 zenon_H2b4 zenon_H92.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.25/1.42 apply (zenon_L38_); trivial.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H12. zenon_intro zenon_H8f.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H84. zenon_intro zenon_H90.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H82. zenon_intro zenon_H83.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H2b5 ].
% 1.25/1.42 apply (zenon_L71_); trivial.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H295 | zenon_intro zenon_H2d ].
% 1.25/1.42 apply (zenon_L528_); trivial.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H102 | zenon_intro zenon_H11e ].
% 1.25/1.42 apply (zenon_L777_); trivial.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H118 | zenon_intro zenon_H11c ].
% 1.25/1.42 apply (zenon_L362_); trivial.
% 1.25/1.42 exact (zenon_H11b zenon_H11c).
% 1.25/1.42 apply (zenon_L199_); trivial.
% 1.25/1.42 (* end of lemma zenon_L778_ *)
% 1.25/1.42 assert (zenon_L779_ : ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp16)) -> (forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c0_1 (a2564)) -> (~(c2_1 (a2564))) -> (~(c1_1 (a2564))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> (ndr1_0) -> (~(hskp11)) -> False).
% 1.25/1.42 do 0 intro. intros zenon_H11d zenon_H5 zenon_H2d zenon_H1d8 zenon_H1d9 zenon_H223 zenon_H84 zenon_H83 zenon_H82 zenon_H105 zenon_H103 zenon_H10d zenon_H1fa zenon_H1fb zenon_H1fc zenon_H144 zenon_H182 zenon_H181 zenon_H180 zenon_H12 zenon_H11b.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H102 | zenon_intro zenon_H11e ].
% 1.25/1.42 apply (zenon_L777_); trivial.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H118 | zenon_intro zenon_H11c ].
% 1.25/1.42 apply (zenon_L115_); trivial.
% 1.25/1.42 exact (zenon_H11b zenon_H11c).
% 1.25/1.42 (* end of lemma zenon_L779_ *)
% 1.25/1.42 assert (zenon_L780_ : ((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> (~(hskp16)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> False).
% 1.25/1.42 do 0 intro. intros zenon_H50 zenon_Ha2 zenon_H134 zenon_H133 zenon_H132 zenon_H7f zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_H11d zenon_H11b zenon_H182 zenon_H181 zenon_H180 zenon_H223 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H105 zenon_H103 zenon_H10d zenon_H1d8 zenon_H1d9 zenon_H5 zenon_H144 zenon_H2b4 zenon_H92.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.25/1.42 apply (zenon_L38_); trivial.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H12. zenon_intro zenon_H8f.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H84. zenon_intro zenon_H90.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H82. zenon_intro zenon_H83.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H2b5 ].
% 1.25/1.42 apply (zenon_L71_); trivial.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H295 | zenon_intro zenon_H2d ].
% 1.25/1.42 apply (zenon_L528_); trivial.
% 1.25/1.42 apply (zenon_L779_); trivial.
% 1.25/1.42 apply (zenon_L199_); trivial.
% 1.25/1.42 (* end of lemma zenon_L780_ *)
% 1.25/1.42 assert (zenon_L781_ : ((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (~(hskp11)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (~(hskp17)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (~(c2_1 (a2524))) -> (c3_1 (a2524)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp1)) -> False).
% 1.25/1.42 do 0 intro. intros zenon_H50 zenon_H293 zenon_H282 zenon_H281 zenon_H280 zenon_H11b zenon_H216 zenon_H105 zenon_H103 zenon_H10d zenon_H146 zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_H24 zenon_H25 zenon_H26 zenon_H223 zenon_H68 zenon_H67 zenon_H66 zenon_H1fa zenon_H1fc zenon_H11d zenon_Hd.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H27f | zenon_intro zenon_H294 ].
% 1.25/1.42 apply (zenon_L513_); trivial.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_Hcc | zenon_intro zenon_He ].
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H102 | zenon_intro zenon_H11e ].
% 1.25/1.42 apply (zenon_L375_); trivial.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H118 | zenon_intro zenon_H11c ].
% 1.25/1.42 apply (zenon_L362_); trivial.
% 1.25/1.42 exact (zenon_H11b zenon_H11c).
% 1.25/1.42 exact (zenon_Hd zenon_He).
% 1.25/1.42 (* end of lemma zenon_L781_ *)
% 1.25/1.42 assert (zenon_L782_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> (~(hskp16)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> False).
% 1.25/1.42 do 0 intro. intros zenon_Hef zenon_Ha2 zenon_H132 zenon_H133 zenon_H134 zenon_H27a zenon_H263 zenon_H262 zenon_H261 zenon_H5 zenon_H144 zenon_Hcb zenon_H280 zenon_H281 zenon_H282 zenon_Hd zenon_H293 zenon_Hdd.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.25/1.42 apply (zenon_L521_); trivial.
% 1.25/1.42 apply (zenon_L473_); trivial.
% 1.25/1.42 (* end of lemma zenon_L782_ *)
% 1.25/1.42 assert (zenon_L783_ : ((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> False).
% 1.25/1.42 do 0 intro. intros zenon_H71 zenon_Hb3 zenon_H1ea zenon_H92 zenon_H1b7 zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H1a2 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e0 zenon_H280 zenon_H281 zenon_H282 zenon_H157 zenon_Hd6 zenon_H68 zenon_H67 zenon_H66 zenon_Hd zenon_H293 zenon_H54.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.42 apply (zenon_L606_); trivial.
% 1.25/1.42 apply (zenon_L704_); trivial.
% 1.25/1.42 apply (zenon_L196_); trivial.
% 1.25/1.42 (* end of lemma zenon_L783_ *)
% 1.25/1.42 assert (zenon_L784_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c1_1 (a2533))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.25/1.42 do 0 intro. intros zenon_Hb6 zenon_H74 zenon_H92 zenon_H1b7 zenon_H223 zenon_H1a2 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_H1e0 zenon_H280 zenon_H281 zenon_H282 zenon_H157 zenon_Hd6 zenon_Hd zenon_H293 zenon_H54 zenon_H1c7 zenon_H2a7 zenon_H2a6 zenon_H2a5 zenon_H1ea zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H262 zenon_H263 zenon_H261 zenon_H1e5 zenon_Hb3.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.25/1.42 apply (zenon_L604_); trivial.
% 1.25/1.42 apply (zenon_L783_); trivial.
% 1.25/1.42 (* end of lemma zenon_L784_ *)
% 1.25/1.42 assert (zenon_L785_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c1_1 (a2533))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((hskp23)\/(hskp27)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.25/1.42 do 0 intro. intros zenon_Hfe zenon_Hb9 zenon_H74 zenon_H92 zenon_H1b7 zenon_H223 zenon_H1a2 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_H1e0 zenon_H157 zenon_Hd6 zenon_H54 zenon_H1c7 zenon_H2a7 zenon_H2a6 zenon_H2a5 zenon_H1ea zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H1e5 zenon_Hb3 zenon_Hdd zenon_H293 zenon_Hd zenon_H282 zenon_H281 zenon_H280 zenon_Hcb zenon_H144 zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_H134 zenon_H133 zenon_H132 zenon_Ha2 zenon_Hef.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.42 apply (zenon_L782_); trivial.
% 1.25/1.42 apply (zenon_L784_); trivial.
% 1.25/1.42 (* end of lemma zenon_L785_ *)
% 1.25/1.42 assert (zenon_L786_ : ((~(hskp12))\/((ndr1_0)/\((~(c1_1 (a2533)))/\((~(c2_1 (a2533)))/\(~(c3_1 (a2533))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((hskp23)\/(hskp27)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> (ndr1_0) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp12))) -> False).
% 1.25/1.42 do 0 intro. intros zenon_H2ae zenon_H101 zenon_Hb9 zenon_H74 zenon_H1b7 zenon_H223 zenon_H1a2 zenon_H2b4 zenon_H3e zenon_H157 zenon_Hd6 zenon_H54 zenon_H1c7 zenon_H293 zenon_Hd zenon_H282 zenon_H281 zenon_H280 zenon_H144 zenon_H27a zenon_H134 zenon_H133 zenon_H132 zenon_Ha2 zenon_Hef zenon_Heb zenon_H1e0 zenon_Hcb zenon_H114 zenon_H12f zenon_Hdd zenon_H92 zenon_H1ea zenon_H262 zenon_H263 zenon_H261 zenon_H1e5 zenon_Hb3 zenon_H12 zenon_H296 zenon_H297 zenon_H298 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H2a3.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.25/1.42 apply (zenon_L532_); trivial.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.25/1.42 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.25/1.42 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.42 apply (zenon_L422_); trivial.
% 1.25/1.42 apply (zenon_L785_); trivial.
% 1.25/1.42 (* end of lemma zenon_L786_ *)
% 1.25/1.42 assert (zenon_L787_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(c0_1 (a2519))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (ndr1_0) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a2528))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.25/1.43 do 0 intro. intros zenon_H74 zenon_H92 zenon_H1b7 zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H1a2 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_H1e0 zenon_H293 zenon_Hd zenon_H216 zenon_H280 zenon_Hfc zenon_H54 zenon_H148 zenon_H146 zenon_H281 zenon_H282 zenon_H1c7 zenon_H134 zenon_H133 zenon_H132 zenon_H12 zenon_H11d zenon_H11b zenon_H10d zenon_H105 zenon_H103 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e5 zenon_Hb3.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.25/1.43 apply (zenon_L713_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.43 apply (zenon_L606_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hfd ].
% 1.25/1.43 apply (zenon_L71_); trivial.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Ha3 | zenon_intro zenon_He ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H27f | zenon_intro zenon_H294 ].
% 1.25/1.43 apply (zenon_L513_); trivial.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_Hcc | zenon_intro zenon_He ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H102 | zenon_intro zenon_H11e ].
% 1.25/1.43 apply (zenon_L617_); trivial.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H118 | zenon_intro zenon_H11c ].
% 1.25/1.43 apply (zenon_L362_); trivial.
% 1.25/1.43 exact (zenon_H11b zenon_H11c).
% 1.25/1.43 exact (zenon_Hd zenon_He).
% 1.25/1.43 exact (zenon_Hd zenon_He).
% 1.25/1.43 apply (zenon_L186_); trivial.
% 1.25/1.43 (* end of lemma zenon_L787_ *)
% 1.25/1.43 assert (zenon_L788_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c1_1 (a2528))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(c0_1 (a2519))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.25/1.43 do 0 intro. intros zenon_Hfe zenon_H190 zenon_Hb3 zenon_H1e5 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H103 zenon_H105 zenon_H10d zenon_H11b zenon_H11d zenon_H132 zenon_H133 zenon_H134 zenon_H1c7 zenon_H282 zenon_H281 zenon_H148 zenon_H54 zenon_Hfc zenon_H280 zenon_H216 zenon_Hd zenon_H293 zenon_H1e0 zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_H1a2 zenon_H261 zenon_H262 zenon_H263 zenon_H223 zenon_H1b7 zenon_H92 zenon_H74.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.43 apply (zenon_L787_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.43 apply (zenon_L606_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hfd ].
% 1.25/1.43 apply (zenon_L71_); trivial.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Ha3 | zenon_intro zenon_He ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H27f | zenon_intro zenon_H294 ].
% 1.25/1.43 apply (zenon_L513_); trivial.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_Hcc | zenon_intro zenon_He ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H102 | zenon_intro zenon_H11e ].
% 1.25/1.43 apply (zenon_L617_); trivial.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H118 | zenon_intro zenon_H11c ].
% 1.25/1.43 apply (zenon_L115_); trivial.
% 1.25/1.43 exact (zenon_H11b zenon_H11c).
% 1.25/1.43 exact (zenon_Hd zenon_He).
% 1.25/1.43 exact (zenon_Hd zenon_He).
% 1.25/1.43 apply (zenon_L186_); trivial.
% 1.25/1.43 (* end of lemma zenon_L788_ *)
% 1.25/1.43 assert (zenon_L789_ : ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c1_1 (a2528))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(c0_1 (a2519))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (ndr1_0) -> ((hskp23)\/(hskp27)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.25/1.43 do 0 intro. intros zenon_H101 zenon_H190 zenon_H103 zenon_H105 zenon_H10d zenon_H11b zenon_H11d zenon_H132 zenon_H133 zenon_H134 zenon_H1c7 zenon_H282 zenon_H281 zenon_H148 zenon_H54 zenon_Hfc zenon_H280 zenon_H216 zenon_Hd zenon_H293 zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_H1a2 zenon_H223 zenon_H1b7 zenon_H74 zenon_Hef zenon_Heb zenon_H1e0 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H12 zenon_Hcb zenon_H114 zenon_H12f zenon_Hdd zenon_H92 zenon_H1ea zenon_H262 zenon_H263 zenon_H261 zenon_H1e5 zenon_Hb3.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.43 apply (zenon_L422_); trivial.
% 1.25/1.43 apply (zenon_L788_); trivial.
% 1.25/1.43 (* end of lemma zenon_L789_ *)
% 1.25/1.43 assert (zenon_L790_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c2_1 (a2549)) -> (~(c1_1 (a2549))) -> (~(c0_1 (a2549))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> (~(c3_1 (a2553))) -> (c0_1 (a2553)) -> (~(c1_1 (a2553))) -> (ndr1_0) -> (~(hskp24)) -> False).
% 1.25/1.43 do 0 intro. intros zenon_H1f3 zenon_Ha6 zenon_Ha5 zenon_Ha4 zenon_H122 zenon_H121 zenon_H2d zenon_H27a zenon_H263 zenon_H262 zenon_H261 zenon_He0 zenon_He1 zenon_Hdf zenon_H12 zenon_H7b.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H1f4 ].
% 1.25/1.43 apply (zenon_L47_); trivial.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H55 | zenon_intro zenon_H93 ].
% 1.25/1.43 apply (zenon_L158_); trivial.
% 1.25/1.43 apply (zenon_L448_); trivial.
% 1.25/1.43 (* end of lemma zenon_L790_ *)
% 1.25/1.43 assert (zenon_L791_ : ((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (~(hskp17)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c2_1 (a2549)) -> (~(c1_1 (a2549))) -> (~(c0_1 (a2549))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> False).
% 1.25/1.43 do 0 intro. intros zenon_H9f zenon_H2b4 zenon_H146 zenon_H280 zenon_H281 zenon_H282 zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_H298 zenon_H297 zenon_H296 zenon_H1f3 zenon_Ha6 zenon_Ha5 zenon_Ha4 zenon_H122 zenon_H121.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H2b5 ].
% 1.25/1.43 apply (zenon_L674_); trivial.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H295 | zenon_intro zenon_H2d ].
% 1.25/1.43 apply (zenon_L528_); trivial.
% 1.25/1.43 apply (zenon_L397_); trivial.
% 1.25/1.43 (* end of lemma zenon_L791_ *)
% 1.25/1.43 assert (zenon_L792_ : ((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> False).
% 1.25/1.43 do 0 intro. intros zenon_Had zenon_Hef zenon_Ha2 zenon_H282 zenon_H281 zenon_H280 zenon_H296 zenon_H297 zenon_H298 zenon_H1f3 zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_H122 zenon_H121 zenon_H2b4 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H146 zenon_H148 zenon_Hdd.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.25/1.43 apply (zenon_L100_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H2b5 ].
% 1.25/1.43 apply (zenon_L674_); trivial.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H295 | zenon_intro zenon_H2d ].
% 1.25/1.43 apply (zenon_L528_); trivial.
% 1.25/1.43 apply (zenon_L790_); trivial.
% 1.25/1.43 apply (zenon_L791_); trivial.
% 1.25/1.43 (* end of lemma zenon_L792_ *)
% 1.25/1.43 assert (zenon_L793_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> (ndr1_0) -> (~(c1_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c3_1 (a2533))) -> (~(hskp19)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> False).
% 1.25/1.43 do 0 intro. intros zenon_Hb3 zenon_Hef zenon_Ha2 zenon_H282 zenon_H281 zenon_H280 zenon_H296 zenon_H297 zenon_H298 zenon_H1f3 zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_H122 zenon_H121 zenon_H2b4 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H146 zenon_H148 zenon_Hdd zenon_H12 zenon_H2a5 zenon_H2a6 zenon_H2a7 zenon_H3 zenon_H1c7.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.25/1.43 apply (zenon_L534_); trivial.
% 1.25/1.43 apply (zenon_L792_); trivial.
% 1.25/1.43 (* end of lemma zenon_L793_ *)
% 1.25/1.43 assert (zenon_L794_ : ((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (~(hskp20)) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> ((hskp23)\/(hskp27)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> False).
% 1.25/1.43 do 0 intro. intros zenon_H50 zenon_Hef zenon_H2b4 zenon_H121 zenon_H122 zenon_H216 zenon_H26 zenon_H25 zenon_H24 zenon_H105 zenon_H103 zenon_H10d zenon_H189 zenon_H298 zenon_H297 zenon_H296 zenon_H132 zenon_H133 zenon_H134 zenon_H280 zenon_H281 zenon_H282 zenon_H146 zenon_H148 zenon_H1e0 zenon_H77 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_Hcb zenon_H114 zenon_H12f zenon_Hdd zenon_H92.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.25/1.43 apply (zenon_L181_); trivial.
% 1.25/1.43 apply (zenon_L685_); trivial.
% 1.25/1.43 (* end of lemma zenon_L794_ *)
% 1.25/1.43 assert (zenon_L795_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((hskp23)\/(hskp27)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (~(hskp20)) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (ndr1_0) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> False).
% 1.25/1.43 do 0 intro. intros zenon_H54 zenon_Hef zenon_H121 zenon_H122 zenon_H216 zenon_H26 zenon_H25 zenon_H24 zenon_H105 zenon_H103 zenon_H10d zenon_H189 zenon_H132 zenon_H133 zenon_H134 zenon_H280 zenon_H281 zenon_H282 zenon_H146 zenon_H148 zenon_Hcb zenon_H114 zenon_H12f zenon_Hdd zenon_H1e0 zenon_H77 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H12 zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H1a2 zenon_H261 zenon_H262 zenon_H263 zenon_H223 zenon_H1b7 zenon_H92.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.43 apply (zenon_L606_); trivial.
% 1.25/1.43 apply (zenon_L794_); trivial.
% 1.25/1.43 (* end of lemma zenon_L795_ *)
% 1.25/1.43 assert (zenon_L796_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((hskp23)\/(hskp27)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> False).
% 1.25/1.43 do 0 intro. intros zenon_H18d zenon_Hb3 zenon_Ha2 zenon_H1f3 zenon_H66 zenon_H67 zenon_H68 zenon_H27a zenon_H92 zenon_H1b7 zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H1a2 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e0 zenon_Hdd zenon_H293 zenon_Hd zenon_H282 zenon_H281 zenon_H280 zenon_Hcb zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H1b3 zenon_H189 zenon_H103 zenon_H105 zenon_H216 zenon_Hfc zenon_H177 zenon_Hef zenon_H54.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.43 apply (zenon_L606_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.25/1.43 apply (zenon_L521_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.25/1.43 apply (zenon_L148_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hfd ].
% 1.25/1.43 apply (zenon_L71_); trivial.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Ha3 | zenon_intro zenon_He ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H2b5 ].
% 1.25/1.43 apply (zenon_L522_); trivial.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H295 | zenon_intro zenon_H2d ].
% 1.25/1.43 apply (zenon_L528_); trivial.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H27f | zenon_intro zenon_H294 ].
% 1.25/1.43 apply (zenon_L513_); trivial.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_Hcc | zenon_intro zenon_He ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H102 | zenon_intro zenon_H1b6 ].
% 1.25/1.43 apply (zenon_L617_); trivial.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H93 | zenon_intro zenon_H14a ].
% 1.25/1.43 apply (zenon_L298_); trivial.
% 1.25/1.43 apply (zenon_L168_); trivial.
% 1.25/1.43 exact (zenon_Hd zenon_He).
% 1.25/1.43 exact (zenon_Hd zenon_He).
% 1.25/1.43 apply (zenon_L621_); trivial.
% 1.25/1.43 (* end of lemma zenon_L796_ *)
% 1.25/1.43 assert (zenon_L797_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(c3_1 (a2531))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> (~(c1_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c3_1 (a2533))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.25/1.43 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_H293 zenon_Hd zenon_H1bc zenon_H120 zenon_H1b3 zenon_Hfc zenon_H177 zenon_Hb3 zenon_Hef zenon_Ha2 zenon_H282 zenon_H281 zenon_H280 zenon_H296 zenon_H297 zenon_H298 zenon_H1f3 zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_H122 zenon_H121 zenon_H2b4 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_Hdd zenon_H2a5 zenon_H2a6 zenon_H2a7 zenon_H1c7 zenon_H54 zenon_H216 zenon_H105 zenon_H103 zenon_H10d zenon_H189 zenon_H114 zenon_H12f zenon_H1e0 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H3e zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H1a2 zenon_H223 zenon_H1b7 zenon_H92 zenon_H74.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.25/1.43 apply (zenon_L793_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.25/1.43 apply (zenon_L795_); trivial.
% 1.25/1.43 apply (zenon_L792_); trivial.
% 1.25/1.43 apply (zenon_L796_); trivial.
% 1.25/1.43 (* end of lemma zenon_L797_ *)
% 1.25/1.43 assert (zenon_L798_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((hskp23)\/(hskp27)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.25/1.43 do 0 intro. intros zenon_Hb9 zenon_H2ba zenon_H112 zenon_Hdd zenon_H289 zenon_H1f zenon_H282 zenon_H281 zenon_H280 zenon_Hcb zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_H21 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H27a zenon_H263 zenon_H262 zenon_H261 zenon_H144 zenon_Ha2 zenon_Hef.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.25/1.43 apply (zenon_L515_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H1d | zenon_intro zenon_H39 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H131 | zenon_intro zenon_H145 ].
% 1.25/1.43 apply (zenon_L589_); trivial.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H93 | zenon_intro zenon_H6 ].
% 1.25/1.43 apply (zenon_L448_); trivial.
% 1.25/1.43 exact (zenon_H5 zenon_H6).
% 1.25/1.43 apply (zenon_L649_); trivial.
% 1.25/1.43 apply (zenon_L726_); trivial.
% 1.25/1.43 apply (zenon_L669_); trivial.
% 1.25/1.43 (* end of lemma zenon_L798_ *)
% 1.25/1.43 assert (zenon_L799_ : ((ndr1_0)/\((c1_1 (a2526))/\((c3_1 (a2526))/\(~(c0_1 (a2526)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((hskp23)\/(hskp27)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.25/1.43 do 0 intro. intros zenon_H1f6 zenon_Hb9 zenon_H2ba zenon_H112 zenon_Hdd zenon_H293 zenon_Hd zenon_H282 zenon_H281 zenon_H280 zenon_Hcb zenon_H144 zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_Ha2 zenon_Hef.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.43 apply (zenon_L782_); trivial.
% 1.25/1.43 apply (zenon_L673_); trivial.
% 1.25/1.43 (* end of lemma zenon_L799_ *)
% 1.25/1.43 assert (zenon_L800_ : ((~(hskp9))\/((ndr1_0)/\((c1_1 (a2526))/\((c3_1 (a2526))/\(~(c0_1 (a2526))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> (~(hskp8)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> False).
% 1.25/1.43 do 0 intro. intros zenon_H1f5 zenon_H293 zenon_Hd zenon_Hef zenon_Ha2 zenon_H144 zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_H1fa zenon_H1fb zenon_H1fc zenon_H21 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_Hcb zenon_H280 zenon_H281 zenon_H282 zenon_H289 zenon_Hdd zenon_H112 zenon_H2ba zenon_Hb9.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.25/1.43 apply (zenon_L798_); trivial.
% 1.25/1.43 apply (zenon_L799_); trivial.
% 1.25/1.43 (* end of lemma zenon_L800_ *)
% 1.25/1.43 assert (zenon_L801_ : ((~(hskp12))\/((ndr1_0)/\((~(c1_1 (a2533)))/\((~(c2_1 (a2533)))/\(~(c3_1 (a2533))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> (ndr1_0) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp12))) -> False).
% 1.25/1.43 do 0 intro. intros zenon_H2ae zenon_H101 zenon_H74 zenon_H92 zenon_H1b7 zenon_H223 zenon_H1a2 zenon_H2b4 zenon_H3e zenon_H1e0 zenon_H21 zenon_H1f zenon_H54 zenon_H1c7 zenon_H1ea zenon_H262 zenon_H263 zenon_H261 zenon_H1e5 zenon_Hb3 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H254 zenon_H12 zenon_H296 zenon_H297 zenon_H298 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H2a3.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.25/1.43 apply (zenon_L532_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.43 apply (zenon_L745_); trivial.
% 1.25/1.43 apply (zenon_L609_); trivial.
% 1.25/1.43 (* end of lemma zenon_L801_ *)
% 1.25/1.43 assert (zenon_L802_ : ((~(hskp12))\/((ndr1_0)/\((~(c1_1 (a2533)))/\((~(c2_1 (a2533)))/\(~(c3_1 (a2533))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c1_1 (a2528))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(c0_1 (a2519))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> (ndr1_0) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp12))) -> False).
% 1.25/1.43 do 0 intro. intros zenon_H2ae zenon_H101 zenon_H190 zenon_Hb3 zenon_H1e5 zenon_H103 zenon_H105 zenon_H10d zenon_H11b zenon_H11d zenon_H132 zenon_H133 zenon_H134 zenon_H1c7 zenon_H282 zenon_H281 zenon_H148 zenon_H54 zenon_Hfc zenon_H280 zenon_H216 zenon_Hd zenon_H293 zenon_H1e0 zenon_H3e zenon_H2b4 zenon_H1a2 zenon_H261 zenon_H262 zenon_H263 zenon_H223 zenon_H1b7 zenon_H92 zenon_H74 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H254 zenon_H12 zenon_H296 zenon_H297 zenon_H298 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H2a3.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.25/1.43 apply (zenon_L532_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.43 apply (zenon_L745_); trivial.
% 1.25/1.43 apply (zenon_L788_); trivial.
% 1.25/1.43 (* end of lemma zenon_L802_ *)
% 1.25/1.43 assert (zenon_L803_ : ((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(c2_1 (a2551))) -> (c0_1 (a2551)) -> (c1_1 (a2551)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> (~(hskp20)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> False).
% 1.25/1.43 do 0 intro. intros zenon_H9f zenon_H92 zenon_H1b3 zenon_H14 zenon_H15 zenon_H16 zenon_H223 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H263 zenon_H262 zenon_H261 zenon_H105 zenon_H103 zenon_H10d zenon_H68 zenon_H67 zenon_H66 zenon_H146 zenon_H148 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H77 zenon_H1e0.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.25/1.43 apply (zenon_L177_); trivial.
% 1.25/1.43 apply (zenon_L455_); trivial.
% 1.25/1.43 (* end of lemma zenon_L803_ *)
% 1.25/1.43 assert (zenon_L804_ : ((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> (~(hskp20)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> False).
% 1.25/1.43 do 0 intro. intros zenon_H50 zenon_Ha2 zenon_H92 zenon_H1b3 zenon_H223 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H105 zenon_H103 zenon_H10d zenon_H146 zenon_H148 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H77 zenon_H1e0 zenon_H261 zenon_H262 zenon_H263 zenon_H66 zenon_H67 zenon_H68 zenon_H27a.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.25/1.43 apply (zenon_L437_); trivial.
% 1.25/1.43 apply (zenon_L803_); trivial.
% 1.25/1.43 (* end of lemma zenon_L804_ *)
% 1.25/1.43 assert (zenon_L805_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (~(hskp20)) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (ndr1_0) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> False).
% 1.25/1.43 do 0 intro. intros zenon_H54 zenon_Ha2 zenon_H1b3 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H105 zenon_H103 zenon_H10d zenon_H146 zenon_H148 zenon_H66 zenon_H67 zenon_H68 zenon_H27a zenon_H1e0 zenon_H77 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H12 zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H1a2 zenon_H261 zenon_H262 zenon_H263 zenon_H223 zenon_H1b7 zenon_H92.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.43 apply (zenon_L606_); trivial.
% 1.25/1.43 apply (zenon_L804_); trivial.
% 1.25/1.43 (* end of lemma zenon_L805_ *)
% 1.25/1.43 assert (zenon_L806_ : ((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (~(hskp17)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c2_1 (a2545)) -> (c1_1 (a2545)) -> (~(c0_1 (a2545))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> False).
% 1.25/1.43 do 0 intro. intros zenon_Had zenon_H2b4 zenon_H146 zenon_H280 zenon_H281 zenon_H282 zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_H298 zenon_H297 zenon_H296 zenon_H1f3 zenon_H58 zenon_H57 zenon_H56 zenon_H1d8 zenon_H1d9.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H2b5 ].
% 1.25/1.43 apply (zenon_L674_); trivial.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H295 | zenon_intro zenon_H2d ].
% 1.25/1.43 apply (zenon_L528_); trivial.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H1f4 ].
% 1.25/1.43 apply (zenon_L47_); trivial.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H55 | zenon_intro zenon_H93 ].
% 1.25/1.43 apply (zenon_L25_); trivial.
% 1.25/1.43 apply (zenon_L298_); trivial.
% 1.25/1.43 (* end of lemma zenon_L806_ *)
% 1.25/1.43 assert (zenon_L807_ : ((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> False).
% 1.25/1.43 do 0 intro. intros zenon_Hb2 zenon_Hb3 zenon_H1f3 zenon_H132 zenon_H133 zenon_H134 zenon_H280 zenon_H281 zenon_H282 zenon_H92 zenon_H1b7 zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H1a2 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e0 zenon_H27a zenon_H68 zenon_H67 zenon_H66 zenon_H148 zenon_H146 zenon_H10d zenon_H103 zenon_H105 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H1b3 zenon_Ha2 zenon_H54.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.25/1.43 apply (zenon_L805_); trivial.
% 1.25/1.43 apply (zenon_L806_); trivial.
% 1.25/1.43 (* end of lemma zenon_L807_ *)
% 1.25/1.43 assert (zenon_L808_ : ((~(hskp3))\/((ndr1_0)/\((~(c0_1 (a2519)))/\((~(c2_1 (a2519)))/\(~(c3_1 (a2519))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp1))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> ((~(hskp6))\/((ndr1_0)/\((c0_1 (a2523))/\((c1_1 (a2523))/\(~(c3_1 (a2523))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a2525))/\((c2_1 (a2525))/\(~(c3_1 (a2525))))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((~(hskp12))\/((ndr1_0)/\((~(c1_1 (a2533)))/\((~(c2_1 (a2533)))/\(~(c3_1 (a2533))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp12))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a2528))/\((~(c0_1 (a2528)))/\(~(c1_1 (a2528))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp9)\/(hskp4))) -> ((hskp6)\/((hskp19)\/(hskp16))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((hskp13)\/(hskp4))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (ndr1_0) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> ((hskp23)\/(hskp27)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((hskp21)\/((hskp18)\/(hskp1))) -> (~(hskp1)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/((hskp6)\/(hskp20))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp9))\/((ndr1_0)/\((c1_1 (a2526))/\((c3_1 (a2526))/\(~(c0_1 (a2526))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> ((~(hskp7))\/((ndr1_0)/\((c1_1 (a2524))/\((c3_1 (a2524))/\(~(c2_1 (a2524))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> ((~(hskp4))\/((ndr1_0)/\((c2_1 (a2521))/\((c3_1 (a2521))/\(~(c1_1 (a2521))))))) -> False).
% 1.25/1.43 do 0 intro. intros zenon_H2be zenon_H293 zenon_H289 zenon_H2ba zenon_H27b zenon_H254 zenon_H218 zenon_H230 zenon_H20d zenon_H2b4 zenon_H3a zenon_H241 zenon_H216 zenon_H223 zenon_H1f3 zenon_H25a zenon_H152 zenon_H1e9 zenon_H2ae zenon_H1ea zenon_H2a3 zenon_H1e0 zenon_H1e5 zenon_H1d4 zenon_H12e zenon_Hb9 zenon_H6f zenon_H7 zenon_H129 zenon_H74 zenon_H116 zenon_H11d zenon_H29f zenon_H298 zenon_H297 zenon_H296 zenon_H12 zenon_Hba zenon_Hb3 zenon_Hae zenon_Hdd zenon_Hd9 zenon_Hcb zenon_Heb zenon_Hef zenon_Hf zenon_Hd zenon_Hc5 zenon_H21 zenon_H4b zenon_H3e zenon_H51 zenon_H54 zenon_Hf0 zenon_Hfc zenon_H101 zenon_H1d5 zenon_H157 zenon_H144 zenon_H92 zenon_H12f zenon_H7f zenon_H9d zenon_Ha2 zenon_H63 zenon_H1a2 zenon_H1b3 zenon_H1b7 zenon_H1b9 zenon_H148 zenon_H1c7 zenon_H1bc zenon_H177 zenon_H174 zenon_H163 zenon_H18b zenon_H189 zenon_H190 zenon_H1f5 zenon_H203 zenon_H259 zenon_H27a zenon_H8e zenon_H2bf.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H49 | zenon_intro zenon_H2c0 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H5f | zenon_intro zenon_H2c1 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H1 | zenon_intro zenon_H27c ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H114 | zenon_intro zenon_H25b ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H112 | zenon_intro zenon_H25c ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.25/1.43 apply (zenon_L529_); trivial.
% 1.25/1.43 apply (zenon_L179_); trivial.
% 1.25/1.43 apply (zenon_L530_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.25/1.43 apply (zenon_L529_); trivial.
% 1.25/1.43 apply (zenon_L147_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.25/1.43 apply (zenon_L529_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.43 apply (zenon_L85_); trivial.
% 1.25/1.43 apply (zenon_L137_); trivial.
% 1.25/1.43 apply (zenon_L174_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25d.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1d8. zenon_intro zenon_H25e.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.25/1.43 apply (zenon_L532_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.25/1.43 apply (zenon_L529_); trivial.
% 1.25/1.43 apply (zenon_L538_); trivial.
% 1.25/1.43 apply (zenon_L543_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.25/1.43 apply (zenon_L532_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.25/1.43 apply (zenon_L529_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.43 apply (zenon_L544_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.25/1.43 apply (zenon_L548_); trivial.
% 1.25/1.43 apply (zenon_L197_); trivial.
% 1.25/1.43 apply (zenon_L549_); trivial.
% 1.25/1.43 apply (zenon_L537_); trivial.
% 1.25/1.43 apply (zenon_L543_); trivial.
% 1.25/1.43 apply (zenon_L550_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H12. zenon_intro zenon_H27d.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H27d). zenon_intro zenon_H226. zenon_intro zenon_H27e.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H27e). zenon_intro zenon_H227. zenon_intro zenon_H225.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H114 | zenon_intro zenon_H25b ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H112 | zenon_intro zenon_H25c ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.25/1.43 apply (zenon_L529_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.43 apply (zenon_L68_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.25/1.43 apply (zenon_L555_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.43 apply (zenon_L310_); trivial.
% 1.25/1.43 apply (zenon_L556_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.25/1.43 apply (zenon_L529_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.43 apply (zenon_L68_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.25/1.43 apply (zenon_L306_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.25/1.43 apply (zenon_L62_); trivial.
% 1.25/1.43 apply (zenon_L560_); trivial.
% 1.25/1.43 apply (zenon_L553_); trivial.
% 1.25/1.43 apply (zenon_L562_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.25/1.43 apply (zenon_L529_); trivial.
% 1.25/1.43 apply (zenon_L297_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.25/1.43 apply (zenon_L82_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.43 apply (zenon_L287_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.43 apply (zenon_L567_); trivial.
% 1.25/1.43 apply (zenon_L572_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25d.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1d8. zenon_intro zenon_H25e.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.25/1.43 apply (zenon_L529_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.43 apply (zenon_L68_); trivial.
% 1.25/1.43 apply (zenon_L573_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.25/1.43 apply (zenon_L529_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.43 apply (zenon_L328_); trivial.
% 1.25/1.43 apply (zenon_L574_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.25/1.43 apply (zenon_L532_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.25/1.43 apply (zenon_L529_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.43 apply (zenon_L187_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.25/1.43 apply (zenon_L55_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.25/1.43 apply (zenon_L575_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.25/1.43 apply (zenon_L181_); trivial.
% 1.25/1.43 apply (zenon_L580_); trivial.
% 1.25/1.43 apply (zenon_L553_); trivial.
% 1.25/1.43 apply (zenon_L48_); trivial.
% 1.25/1.43 apply (zenon_L561_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.25/1.43 apply (zenon_L529_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.43 apply (zenon_L544_); trivial.
% 1.25/1.43 apply (zenon_L296_); trivial.
% 1.25/1.43 apply (zenon_L583_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.25/1.43 apply (zenon_L532_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.25/1.43 apply (zenon_L529_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.43 apply (zenon_L187_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.43 apply (zenon_L582_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.25/1.43 apply (zenon_L588_); trivial.
% 1.25/1.43 apply (zenon_L384_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.43 apply (zenon_L295_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.25/1.43 apply (zenon_L120_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.25/1.43 apply (zenon_L44_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H12. zenon_intro zenon_H8f.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H84. zenon_intro zenon_H90.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H82. zenon_intro zenon_H83.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ].
% 1.25/1.43 apply (zenon_L53_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H12. zenon_intro zenon_H4e.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H40. zenon_intro zenon_H4f.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H41. zenon_intro zenon_H42.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H102 | zenon_intro zenon_H11e ].
% 1.25/1.43 apply (zenon_L586_); trivial.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H118 | zenon_intro zenon_H11c ].
% 1.25/1.43 apply (zenon_L115_); trivial.
% 1.25/1.43 exact (zenon_H11b zenon_H11c).
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.43 apply (zenon_L320_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.43 apply (zenon_L582_); trivial.
% 1.25/1.43 apply (zenon_L572_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H12. zenon_intro zenon_H25f.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H1fb. zenon_intro zenon_H260.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H1fc. zenon_intro zenon_H1fa.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.25/1.43 apply (zenon_L529_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.43 apply (zenon_L68_); trivial.
% 1.25/1.43 apply (zenon_L592_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.25/1.43 apply (zenon_L529_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.43 apply (zenon_L328_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.25/1.43 apply (zenon_L325_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.43 apply (zenon_L597_); trivial.
% 1.25/1.43 apply (zenon_L343_); trivial.
% 1.25/1.43 apply (zenon_L556_); trivial.
% 1.25/1.43 apply (zenon_L600_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.25/1.43 apply (zenon_L529_); trivial.
% 1.25/1.43 apply (zenon_L356_); trivial.
% 1.25/1.43 apply (zenon_L601_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.25/1.43 apply (zenon_L529_); trivial.
% 1.25/1.43 apply (zenon_L391_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.25/1.43 apply (zenon_L529_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.43 apply (zenon_L412_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.43 apply (zenon_L567_); trivial.
% 1.25/1.43 apply (zenon_L602_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.43 apply (zenon_L567_); trivial.
% 1.25/1.43 apply (zenon_L603_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H12. zenon_intro zenon_H2c2.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2c2). zenon_intro zenon_H262. zenon_intro zenon_H2c3.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H263. zenon_intro zenon_H261.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H1 | zenon_intro zenon_H27c ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H114 | zenon_intro zenon_H25b ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H112 | zenon_intro zenon_H25c ].
% 1.25/1.43 apply (zenon_L419_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25d.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1d8. zenon_intro zenon_H25e.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.25/1.43 apply (zenon_L610_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.25/1.43 apply (zenon_L615_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.25/1.43 apply (zenon_L619_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.25/1.43 apply (zenon_L532_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.43 apply (zenon_L422_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.43 apply (zenon_L611_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.43 apply (zenon_L623_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.25/1.43 apply (zenon_L437_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.25/1.43 apply (zenon_L44_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H12. zenon_intro zenon_H8f.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H84. zenon_intro zenon_H90.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H82. zenon_intro zenon_H83.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.25/1.43 apply (zenon_L148_); trivial.
% 1.25/1.43 apply (zenon_L338_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.43 apply (zenon_L422_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.43 apply (zenon_L611_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.43 apply (zenon_L623_); trivial.
% 1.25/1.43 apply (zenon_L625_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H12. zenon_intro zenon_H25f.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H1fb. zenon_intro zenon_H260.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H1fc. zenon_intro zenon_H1fa.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.43 apply (zenon_L445_); trivial.
% 1.25/1.43 apply (zenon_L631_); trivial.
% 1.25/1.43 apply (zenon_L218_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.43 apply (zenon_L458_); trivial.
% 1.25/1.43 apply (zenon_L631_); trivial.
% 1.25/1.43 apply (zenon_L218_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.43 apply (zenon_L463_); trivial.
% 1.25/1.43 apply (zenon_L631_); trivial.
% 1.25/1.43 apply (zenon_L218_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.43 apply (zenon_L471_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.43 apply (zenon_L464_); trivial.
% 1.25/1.43 apply (zenon_L637_); trivial.
% 1.25/1.43 apply (zenon_L218_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.25/1.43 apply (zenon_L640_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.43 apply (zenon_L479_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.43 apply (zenon_L478_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.43 apply (zenon_L638_); trivial.
% 1.25/1.43 apply (zenon_L225_); trivial.
% 1.25/1.43 apply (zenon_L218_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H12. zenon_intro zenon_H27d.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H27d). zenon_intro zenon_H226. zenon_intro zenon_H27e.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H27e). zenon_intro zenon_H227. zenon_intro zenon_H225.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H114 | zenon_intro zenon_H25b ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H112 | zenon_intro zenon_H25c ].
% 1.25/1.43 apply (zenon_L419_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25d.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1d8. zenon_intro zenon_H25e.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.25/1.43 apply (zenon_L610_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.25/1.43 apply (zenon_L615_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.25/1.43 apply (zenon_L619_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.25/1.43 apply (zenon_L532_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.43 apply (zenon_L320_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.43 apply (zenon_L509_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.43 apply (zenon_L623_); trivial.
% 1.25/1.43 apply (zenon_L343_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H12. zenon_intro zenon_H25f.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H1fb. zenon_intro zenon_H260.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H1fc. zenon_intro zenon_H1fa.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.43 apply (zenon_L482_); trivial.
% 1.25/1.43 apply (zenon_L631_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.43 apply (zenon_L486_); trivial.
% 1.25/1.43 apply (zenon_L481_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.43 apply (zenon_L486_); trivial.
% 1.25/1.43 apply (zenon_L556_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.43 apply (zenon_L496_); trivial.
% 1.25/1.43 apply (zenon_L631_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.43 apply (zenon_L642_); trivial.
% 1.25/1.43 apply (zenon_L644_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.43 apply (zenon_L499_); trivial.
% 1.25/1.43 apply (zenon_L645_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.25/1.43 apply (zenon_L507_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.43 apply (zenon_L508_); trivial.
% 1.25/1.43 apply (zenon_L646_); trivial.
% 1.25/1.43 apply (zenon_L648_); trivial.
% 1.25/1.43 apply (zenon_L511_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H12. zenon_intro zenon_H2c4.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2c4). zenon_intro zenon_H280. zenon_intro zenon_H2c5.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_H281. zenon_intro zenon_H282.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H5f | zenon_intro zenon_H2c1 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H1 | zenon_intro zenon_H27c ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H114 | zenon_intro zenon_H25b ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H112 | zenon_intro zenon_H25c ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.25/1.43 apply (zenon_L662_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.25/1.43 apply (zenon_L82_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.43 apply (zenon_L524_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.25/1.43 apply (zenon_L651_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.25/1.43 apply (zenon_L666_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.43 apply (zenon_L668_); trivial.
% 1.25/1.43 apply (zenon_L553_); trivial.
% 1.25/1.43 apply (zenon_L669_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.43 apply (zenon_L8_); trivial.
% 1.25/1.43 apply (zenon_L672_); trivial.
% 1.25/1.43 apply (zenon_L97_); trivial.
% 1.25/1.43 apply (zenon_L673_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.43 apply (zenon_L678_); trivial.
% 1.25/1.43 apply (zenon_L681_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.43 apply (zenon_L524_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.25/1.43 apply (zenon_L654_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.43 apply (zenon_L682_); trivial.
% 1.25/1.43 apply (zenon_L672_); trivial.
% 1.25/1.43 apply (zenon_L525_); trivial.
% 1.25/1.43 apply (zenon_L683_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.25/1.43 apply (zenon_L82_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.25/1.43 apply (zenon_L654_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.43 apply (zenon_L688_); trivial.
% 1.25/1.43 apply (zenon_L525_); trivial.
% 1.25/1.43 apply (zenon_L691_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25d.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1d8. zenon_intro zenon_H25e.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.25/1.43 apply (zenon_L662_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.25/1.43 apply (zenon_L693_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.43 apply (zenon_L524_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.25/1.43 apply (zenon_L654_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.25/1.43 apply (zenon_L695_); trivial.
% 1.25/1.43 apply (zenon_L701_); trivial.
% 1.25/1.43 apply (zenon_L50_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.43 apply (zenon_L524_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.43 apply (zenon_L703_); trivial.
% 1.25/1.43 apply (zenon_L705_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.43 apply (zenon_L707_); trivial.
% 1.25/1.43 apply (zenon_L708_); trivial.
% 1.25/1.43 apply (zenon_L126_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.43 apply (zenon_L524_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.25/1.43 apply (zenon_L654_); trivial.
% 1.25/1.43 apply (zenon_L711_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.25/1.43 apply (zenon_L532_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.43 apply (zenon_L524_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.43 apply (zenon_L703_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.43 apply (zenon_L719_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.25/1.43 apply (zenon_L584_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.43 apply (zenon_L716_); trivial.
% 1.25/1.43 apply (zenon_L720_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.25/1.43 apply (zenon_L532_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.43 apply (zenon_L524_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.25/1.43 apply (zenon_L654_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.43 apply (zenon_L703_); trivial.
% 1.25/1.43 apply (zenon_L724_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H12. zenon_intro zenon_H25f.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H1fb. zenon_intro zenon_H260.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H1fc. zenon_intro zenon_H1fa.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H112 | zenon_intro zenon_H25c ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.25/1.43 apply (zenon_L529_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.43 apply (zenon_L524_); trivial.
% 1.25/1.43 apply (zenon_L733_); trivial.
% 1.25/1.43 apply (zenon_L661_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.43 apply (zenon_L524_); trivial.
% 1.25/1.43 apply (zenon_L737_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.43 apply (zenon_L524_); trivial.
% 1.25/1.43 apply (zenon_L742_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.25/1.43 apply (zenon_L194_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.25/1.43 apply (zenon_L100_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1b2 ].
% 1.25/1.43 apply (zenon_L430_); trivial.
% 1.25/1.43 apply (zenon_L743_); trivial.
% 1.25/1.43 apply (zenon_L199_); trivial.
% 1.25/1.43 apply (zenon_L672_); trivial.
% 1.25/1.43 apply (zenon_L525_); trivial.
% 1.25/1.43 apply (zenon_L673_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.25/1.43 apply (zenon_L194_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.25/1.43 apply (zenon_L100_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.25/1.43 apply (zenon_L736_); trivial.
% 1.25/1.43 apply (zenon_L199_); trivial.
% 1.25/1.43 apply (zenon_L672_); trivial.
% 1.25/1.43 apply (zenon_L525_); trivial.
% 1.25/1.43 apply (zenon_L673_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.25/1.43 apply (zenon_L654_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.43 apply (zenon_L744_); trivial.
% 1.25/1.43 apply (zenon_L691_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25d.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1d8. zenon_intro zenon_H25e.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.25/1.43 apply (zenon_L532_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.25/1.43 apply (zenon_L529_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.43 apply (zenon_L745_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.25/1.43 apply (zenon_L734_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H1d | zenon_intro zenon_H39 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H2b5 ].
% 1.25/1.43 apply (zenon_L522_); trivial.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H295 | zenon_intro zenon_H2d ].
% 1.25/1.43 apply (zenon_L528_); trivial.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H131 | zenon_intro zenon_H145 ].
% 1.25/1.43 apply (zenon_L589_); trivial.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H93 | zenon_intro zenon_H6 ].
% 1.25/1.43 apply (zenon_L298_); trivial.
% 1.25/1.43 exact (zenon_H5 zenon_H6).
% 1.25/1.43 apply (zenon_L17_); trivial.
% 1.25/1.43 apply (zenon_L217_); trivial.
% 1.25/1.43 apply (zenon_L732_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.25/1.43 apply (zenon_L532_); trivial.
% 1.25/1.43 apply (zenon_L746_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.25/1.43 apply (zenon_L693_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.25/1.43 apply (zenon_L532_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.43 apply (zenon_L745_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.25/1.43 apply (zenon_L748_); trivial.
% 1.25/1.43 apply (zenon_L739_); trivial.
% 1.25/1.43 apply (zenon_L749_); trivial.
% 1.25/1.43 apply (zenon_L741_); trivial.
% 1.25/1.43 apply (zenon_L50_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.25/1.43 apply (zenon_L532_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.25/1.43 apply (zenon_L529_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.43 apply (zenon_L745_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.43 apply (zenon_L709_); trivial.
% 1.25/1.43 apply (zenon_L732_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.25/1.43 apply (zenon_L532_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.25/1.43 apply (zenon_L529_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.43 apply (zenon_L745_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.43 apply (zenon_L709_); trivial.
% 1.25/1.43 apply (zenon_L750_); trivial.
% 1.25/1.43 apply (zenon_L711_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.25/1.43 apply (zenon_L532_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.43 apply (zenon_L745_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.43 apply (zenon_L709_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.43 apply (zenon_L719_); trivial.
% 1.25/1.43 apply (zenon_L751_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.25/1.43 apply (zenon_L532_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.43 apply (zenon_L723_); trivial.
% 1.25/1.43 apply (zenon_L741_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H12. zenon_intro zenon_H27d.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H27d). zenon_intro zenon_H226. zenon_intro zenon_H27e.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H27e). zenon_intro zenon_H227. zenon_intro zenon_H225.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H114 | zenon_intro zenon_H25b ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H112 | zenon_intro zenon_H25c ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.25/1.43 apply (zenon_L758_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.25/1.43 apply (zenon_L759_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.43 apply (zenon_L757_); trivial.
% 1.25/1.43 apply (zenon_L764_); trivial.
% 1.25/1.43 apply (zenon_L766_); trivial.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25d.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1d8. zenon_intro zenon_H25e.
% 1.25/1.43 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.25/1.43 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.25/1.44 apply (zenon_L758_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.25/1.44 apply (zenon_L693_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.44 apply (zenon_L769_); trivial.
% 1.25/1.44 apply (zenon_L764_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.44 apply (zenon_L524_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.44 apply (zenon_L703_); trivial.
% 1.25/1.44 apply (zenon_L770_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.25/1.44 apply (zenon_L532_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.44 apply (zenon_L187_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.44 apply (zenon_L702_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.25/1.44 apply (zenon_L201_); trivial.
% 1.25/1.44 apply (zenon_L186_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.44 apply (zenon_L719_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.25/1.44 apply (zenon_L584_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.44 apply (zenon_L295_); trivial.
% 1.25/1.44 apply (zenon_L720_); trivial.
% 1.25/1.44 apply (zenon_L771_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H12. zenon_intro zenon_H25f.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H1fb. zenon_intro zenon_H260.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H1fc. zenon_intro zenon_H1fa.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H112 | zenon_intro zenon_H25c ].
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.25/1.44 apply (zenon_L773_); trivial.
% 1.25/1.44 apply (zenon_L766_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25d.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1d8. zenon_intro zenon_H25e.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.25/1.44 apply (zenon_L774_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.25/1.44 apply (zenon_L325_); trivial.
% 1.25/1.44 apply (zenon_L775_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.25/1.44 apply (zenon_L532_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.44 apply (zenon_L745_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.25/1.44 apply (zenon_L325_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.44 apply (zenon_L710_); trivial.
% 1.25/1.44 apply (zenon_L776_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.25/1.44 apply (zenon_L532_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.44 apply (zenon_L745_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.25/1.44 apply (zenon_L194_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.44 apply (zenon_L765_); trivial.
% 1.25/1.44 apply (zenon_L778_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.44 apply (zenon_L765_); trivial.
% 1.25/1.44 apply (zenon_L780_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.25/1.44 apply (zenon_L713_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.44 apply (zenon_L295_); trivial.
% 1.25/1.44 apply (zenon_L781_); trivial.
% 1.25/1.44 apply (zenon_L751_); trivial.
% 1.25/1.44 apply (zenon_L771_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H12. zenon_intro zenon_H2c2.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H2c2). zenon_intro zenon_H262. zenon_intro zenon_H2c3.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H263. zenon_intro zenon_H261.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H114 | zenon_intro zenon_H25b ].
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H112 | zenon_intro zenon_H25c ].
% 1.25/1.44 apply (zenon_L419_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25d.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1d8. zenon_intro zenon_H25e.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.25/1.44 apply (zenon_L610_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.25/1.44 apply (zenon_L786_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.25/1.44 apply (zenon_L789_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.25/1.44 apply (zenon_L532_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.44 apply (zenon_L422_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.44 apply (zenon_L782_); trivial.
% 1.25/1.44 apply (zenon_L797_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H12. zenon_intro zenon_H25f.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H1fb. zenon_intro zenon_H260.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H1fc. zenon_intro zenon_H1fa.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H112 | zenon_intro zenon_H25c ].
% 1.25/1.44 apply (zenon_L800_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25d.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1d8. zenon_intro zenon_H25e.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.25/1.44 apply (zenon_L801_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.25/1.44 apply (zenon_L532_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.44 apply (zenon_L745_); trivial.
% 1.25/1.44 apply (zenon_L785_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.25/1.44 apply (zenon_L802_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.25/1.44 apply (zenon_L532_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.44 apply (zenon_L745_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.44 apply (zenon_L782_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.44 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.25/1.44 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.25/1.44 apply (zenon_L805_); trivial.
% 1.25/1.44 apply (zenon_L747_); trivial.
% 1.25/1.44 apply (zenon_L807_); trivial.
% 1.25/1.44 apply (zenon_L796_); trivial.
% 1.25/1.44 (* end of lemma zenon_L808_ *)
% 1.25/1.44 assert (zenon_L809_ : (forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41)))))) -> (ndr1_0) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> False).
% 1.25/1.44 do 0 intro. intros zenon_H2c6 zenon_H12 zenon_H2c7 zenon_H2c8 zenon_H2c9.
% 1.25/1.44 generalize (zenon_H2c6 (a2517)). zenon_intro zenon_H2ca.
% 1.25/1.44 apply (zenon_imply_s _ _ zenon_H2ca); [ zenon_intro zenon_H11 | zenon_intro zenon_H2cb ].
% 1.25/1.44 exact (zenon_H11 zenon_H12).
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H2cd | zenon_intro zenon_H2cc ].
% 1.25/1.44 exact (zenon_H2c7 zenon_H2cd).
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2cf | zenon_intro zenon_H2ce ].
% 1.25/1.44 exact (zenon_H2c8 zenon_H2cf).
% 1.25/1.44 exact (zenon_H2ce zenon_H2c9).
% 1.25/1.44 (* end of lemma zenon_L809_ *)
% 1.25/1.44 assert (zenon_L810_ : (forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79)))))) -> (ndr1_0) -> (~(c3_1 (a2517))) -> (forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42)))))) -> (c2_1 (a2517)) -> False).
% 1.25/1.44 do 0 intro. intros zenon_H11f zenon_H12 zenon_H2c8 zenon_H2d0 zenon_H2c9.
% 1.25/1.44 generalize (zenon_H11f (a2517)). zenon_intro zenon_H2d1.
% 1.25/1.44 apply (zenon_imply_s _ _ zenon_H2d1); [ zenon_intro zenon_H11 | zenon_intro zenon_H2d2 ].
% 1.25/1.44 exact (zenon_H11 zenon_H12).
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2cf | zenon_intro zenon_H2d3 ].
% 1.25/1.44 exact (zenon_H2c8 zenon_H2cf).
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2d4 | zenon_intro zenon_H2ce ].
% 1.25/1.44 generalize (zenon_H2d0 (a2517)). zenon_intro zenon_H2d5.
% 1.25/1.44 apply (zenon_imply_s _ _ zenon_H2d5); [ zenon_intro zenon_H11 | zenon_intro zenon_H2d6 ].
% 1.25/1.44 exact (zenon_H11 zenon_H12).
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2cc ].
% 1.25/1.44 exact (zenon_H2d4 zenon_H2d7).
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2cf | zenon_intro zenon_H2ce ].
% 1.25/1.44 exact (zenon_H2c8 zenon_H2cf).
% 1.25/1.44 exact (zenon_H2ce zenon_H2c9).
% 1.25/1.44 exact (zenon_H2ce zenon_H2c9).
% 1.25/1.44 (* end of lemma zenon_L810_ *)
% 1.25/1.44 assert (zenon_L811_ : ((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a2517))) -> (~(hskp4)) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> False).
% 1.25/1.44 do 0 intro. intros zenon_H71 zenon_H2d8 zenon_H2c7 zenon_H5f zenon_H2c8 zenon_H2c9 zenon_H129.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2d9 ].
% 1.25/1.44 apply (zenon_L809_); trivial.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H23 ].
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H23 | zenon_intro zenon_H12a ].
% 1.25/1.44 apply (zenon_L14_); trivial.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H11f | zenon_intro zenon_H60 ].
% 1.25/1.44 apply (zenon_L810_); trivial.
% 1.25/1.44 exact (zenon_H5f zenon_H60).
% 1.25/1.44 apply (zenon_L14_); trivial.
% 1.25/1.44 (* end of lemma zenon_L811_ *)
% 1.25/1.44 assert (zenon_L812_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(hskp6)) -> (~(hskp16)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> False).
% 1.25/1.44 do 0 intro. intros zenon_H74 zenon_H2d8 zenon_H5f zenon_H129 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H1 zenon_H5 zenon_H7.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.25/1.44 apply (zenon_L4_); trivial.
% 1.25/1.44 apply (zenon_L811_); trivial.
% 1.25/1.44 (* end of lemma zenon_L812_ *)
% 1.25/1.44 assert (zenon_L813_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp9)\/(hskp4))) -> (~(hskp9)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> (~(hskp6)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.25/1.44 do 0 intro. intros zenon_Hb9 zenon_H6f zenon_H1f zenon_H7 zenon_H1 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H129 zenon_H5f zenon_H2d8 zenon_H74.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.44 apply (zenon_L812_); trivial.
% 1.25/1.44 apply (zenon_L50_); trivial.
% 1.25/1.44 (* end of lemma zenon_L813_ *)
% 1.25/1.44 assert (zenon_L814_ : ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> (c2_1 (a2517)) -> (forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42)))))) -> (~(c3_1 (a2517))) -> (ndr1_0) -> (~(hskp29)) -> False).
% 1.25/1.44 do 0 intro. intros zenon_H1bc zenon_H182 zenon_H181 zenon_H180 zenon_H2c9 zenon_H2d0 zenon_H2c8 zenon_H12 zenon_H150.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H118 | zenon_intro zenon_H1bd ].
% 1.25/1.44 apply (zenon_L115_); trivial.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H11f | zenon_intro zenon_H151 ].
% 1.25/1.44 apply (zenon_L810_); trivial.
% 1.25/1.44 exact (zenon_H150 zenon_H151).
% 1.25/1.44 (* end of lemma zenon_L814_ *)
% 1.25/1.44 assert (zenon_L815_ : ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(hskp29)) -> (~(c0_1 (a2517))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> (ndr1_0) -> (~(hskp11)) -> False).
% 1.25/1.44 do 0 intro. intros zenon_H11d zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H150 zenon_H2c7 zenon_H2d8 zenon_H182 zenon_H181 zenon_H180 zenon_H12 zenon_H11b.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H102 | zenon_intro zenon_H11e ].
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2d9 ].
% 1.25/1.44 apply (zenon_L809_); trivial.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H23 ].
% 1.25/1.44 apply (zenon_L814_); trivial.
% 1.25/1.44 apply (zenon_L208_); trivial.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H118 | zenon_intro zenon_H11c ].
% 1.25/1.44 apply (zenon_L115_); trivial.
% 1.25/1.44 exact (zenon_H11b zenon_H11c).
% 1.25/1.44 (* end of lemma zenon_L815_ *)
% 1.25/1.44 assert (zenon_L816_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> False).
% 1.25/1.44 do 0 intro. intros zenon_H18d zenon_Hef zenon_H189 zenon_H11d zenon_H11b zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H2d8 zenon_H163 zenon_H66 zenon_H67 zenon_H68 zenon_Hd6 zenon_H157 zenon_H174 zenon_H177.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.25/1.44 apply (zenon_L815_); trivial.
% 1.25/1.44 apply (zenon_L110_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.25/1.44 apply (zenon_L815_); trivial.
% 1.25/1.44 apply (zenon_L116_); trivial.
% 1.25/1.44 (* end of lemma zenon_L816_ *)
% 1.25/1.44 assert (zenon_L817_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> (~(hskp2)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((hskp6)\/((hskp19)\/(hskp16))) -> (~(hskp6)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.25/1.44 do 0 intro. intros zenon_Hb9 zenon_H190 zenon_H189 zenon_H11d zenon_H11b zenon_H1bc zenon_H163 zenon_Hd6 zenon_H157 zenon_H174 zenon_H177 zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H75 zenon_H142 zenon_Hef zenon_H7 zenon_H1 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H129 zenon_H5f zenon_H2d8 zenon_H74.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.44 apply (zenon_L812_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.44 apply (zenon_L101_); trivial.
% 1.25/1.44 apply (zenon_L816_); trivial.
% 1.25/1.44 (* end of lemma zenon_L817_ *)
% 1.25/1.44 assert (zenon_L818_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> (~(hskp2)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((hskp6)\/((hskp19)\/(hskp16))) -> (~(hskp6)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.25/1.44 do 0 intro. intros zenon_Hb9 zenon_H190 zenon_Hb3 zenon_Ha2 zenon_H177 zenon_H1f3 zenon_H1b3 zenon_H1ea zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H18b zenon_H92 zenon_H12f zenon_H114 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e0 zenon_He8 zenon_Heb zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H75 zenon_H142 zenon_Hef zenon_H7 zenon_H1 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H129 zenon_H5f zenon_H2d8 zenon_H74.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.44 apply (zenon_L812_); trivial.
% 1.25/1.44 apply (zenon_L212_); trivial.
% 1.25/1.44 (* end of lemma zenon_L818_ *)
% 1.25/1.44 assert (zenon_L819_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((hskp6)\/((hskp19)\/(hskp16))) -> (~(hskp6)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.25/1.44 do 0 intro. intros zenon_Hfe zenon_Hb9 zenon_H190 zenon_Ha2 zenon_H18b zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H142 zenon_H75 zenon_H1e7 zenon_Hef zenon_H7 zenon_H1 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H129 zenon_H5f zenon_H2d8 zenon_H74.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.44 apply (zenon_L812_); trivial.
% 1.25/1.44 apply (zenon_L207_); trivial.
% 1.25/1.44 (* end of lemma zenon_L819_ *)
% 1.25/1.44 assert (zenon_L820_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (ndr1_0) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(hskp19)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> False).
% 1.25/1.44 do 0 intro. intros zenon_Hb3 zenon_H177 zenon_Hae zenon_H49 zenon_H4b zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H105 zenon_H103 zenon_H10d zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e5 zenon_H12 zenon_H132 zenon_H133 zenon_H134 zenon_H1c7 zenon_H3 zenon_H67 zenon_H66 zenon_H146 zenon_H148.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.25/1.44 apply (zenon_L155_); trivial.
% 1.25/1.44 apply (zenon_L539_); trivial.
% 1.25/1.44 (* end of lemma zenon_L820_ *)
% 1.25/1.44 assert (zenon_L821_ : ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(hskp17)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (ndr1_0) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp14)) -> False).
% 1.25/1.44 do 0 intro. intros zenon_H2da zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H146 zenon_H254 zenon_H67 zenon_H66 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H12 zenon_H148 zenon_He8.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2db ].
% 1.25/1.44 apply (zenon_L809_); trivial.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H13 | zenon_intro zenon_He9 ].
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H131 | zenon_intro zenon_H149 ].
% 1.25/1.44 apply (zenon_L238_); trivial.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hcc | zenon_intro zenon_H147 ].
% 1.25/1.44 apply (zenon_L372_); trivial.
% 1.25/1.44 exact (zenon_H146 zenon_H147).
% 1.25/1.44 exact (zenon_He8 zenon_He9).
% 1.25/1.44 (* end of lemma zenon_L821_ *)
% 1.25/1.44 assert (zenon_L822_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (~(hskp18)) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a2541))) -> (~(c2_1 (a2541))) -> (c3_1 (a2541)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (ndr1_0) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> False).
% 1.25/1.44 do 0 intro. intros zenon_H177 zenon_H20d zenon_Hb zenon_H1fc zenon_H1fb zenon_H1fa zenon_H2d8 zenon_H180 zenon_H181 zenon_H182 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H12 zenon_H11b zenon_H11d.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.25/1.44 apply (zenon_L815_); trivial.
% 1.25/1.44 apply (zenon_L223_); trivial.
% 1.25/1.44 (* end of lemma zenon_L822_ *)
% 1.25/1.44 assert (zenon_L823_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> (~(hskp15)) -> (~(hskp4)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> False).
% 1.25/1.44 do 0 intro. intros zenon_H18d zenon_Hba zenon_H63 zenon_H61 zenon_H5f zenon_H11d zenon_H11b zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H2d8 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H177.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.25/1.44 apply (zenon_L822_); trivial.
% 1.25/1.44 apply (zenon_L97_); trivial.
% 1.25/1.44 (* end of lemma zenon_L823_ *)
% 1.25/1.44 assert (zenon_L824_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a2539)) -> (~(c2_1 (a2539))) -> (~(c0_1 (a2539))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp14)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> False).
% 1.25/1.44 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_H11d zenon_H11b zenon_H193 zenon_H192 zenon_H191 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H148 zenon_He8 zenon_H254 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H2da.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.44 apply (zenon_L821_); trivial.
% 1.25/1.44 apply (zenon_L126_); trivial.
% 1.25/1.44 (* end of lemma zenon_L824_ *)
% 1.25/1.44 assert (zenon_L825_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(hskp6)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> False).
% 1.25/1.44 do 0 intro. intros zenon_H1b9 zenon_H74 zenon_H2d8 zenon_H5f zenon_H129 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H1 zenon_H7 zenon_H2da zenon_H1fa zenon_H1fb zenon_H1fc zenon_H254 zenon_He8 zenon_H148 zenon_H177 zenon_H20d zenon_H1bc zenon_H11b zenon_H11d zenon_H63 zenon_Hba zenon_H190 zenon_Hb9.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.25/1.44 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.44 apply (zenon_L812_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.44 apply (zenon_L821_); trivial.
% 1.25/1.44 apply (zenon_L823_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.44 apply (zenon_L812_); trivial.
% 1.25/1.44 apply (zenon_L824_); trivial.
% 1.25/1.44 (* end of lemma zenon_L825_ *)
% 1.25/1.44 assert (zenon_L826_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2539))) -> (~(c2_1 (a2539))) -> (c3_1 (a2539)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp14)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> False).
% 1.25/1.44 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_Hba zenon_Hef zenon_H189 zenon_H18b zenon_H163 zenon_H191 zenon_H192 zenon_H193 zenon_H1b3 zenon_H174 zenon_Ha2 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H20d zenon_H177 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H148 zenon_He8 zenon_H254 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H2da.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.44 apply (zenon_L821_); trivial.
% 1.25/1.44 apply (zenon_L411_); trivial.
% 1.25/1.44 (* end of lemma zenon_L826_ *)
% 1.25/1.44 assert (zenon_L827_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(hskp6)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> False).
% 1.25/1.44 do 0 intro. intros zenon_H1b9 zenon_Hef zenon_H189 zenon_H18b zenon_H163 zenon_H1b3 zenon_H174 zenon_Ha2 zenon_H74 zenon_H2d8 zenon_H5f zenon_H129 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H1 zenon_H7 zenon_H2da zenon_H1fa zenon_H1fb zenon_H1fc zenon_H254 zenon_He8 zenon_H148 zenon_H177 zenon_H20d zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H63 zenon_Hba zenon_H190 zenon_Hb9.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.25/1.44 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.44 apply (zenon_L812_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.44 apply (zenon_L821_); trivial.
% 1.25/1.44 apply (zenon_L395_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.44 apply (zenon_L812_); trivial.
% 1.25/1.44 apply (zenon_L826_); trivial.
% 1.25/1.44 (* end of lemma zenon_L827_ *)
% 1.25/1.44 assert (zenon_L828_ : ((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((hskp6)\/((hskp19)\/(hskp16))) -> (~(hskp6)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.25/1.44 do 0 intro. intros zenon_H19a zenon_Hb9 zenon_H190 zenon_Hba zenon_H189 zenon_H18b zenon_H163 zenon_H1b3 zenon_H174 zenon_Ha2 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H177 zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H142 zenon_H75 zenon_H1e7 zenon_Hef zenon_H7 zenon_H1 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H129 zenon_H5f zenon_H2d8 zenon_H74.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.44 apply (zenon_L812_); trivial.
% 1.25/1.44 apply (zenon_L414_); trivial.
% 1.25/1.44 (* end of lemma zenon_L828_ *)
% 1.25/1.44 assert (zenon_L829_ : ((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> ((hskp6)\/((hskp19)\/(hskp16))) -> (~(hskp6)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539))))))) -> False).
% 1.25/1.44 do 0 intro. intros zenon_H12b zenon_H101 zenon_H1e7 zenon_H75 zenon_H142 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_Hdd zenon_Hb9 zenon_H190 zenon_Hba zenon_H63 zenon_H1bc zenon_H20d zenon_H177 zenon_H148 zenon_H254 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H2da zenon_H7 zenon_H1 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H129 zenon_H5f zenon_H2d8 zenon_H74 zenon_Ha2 zenon_H174 zenon_H1b3 zenon_H163 zenon_H18b zenon_H189 zenon_Hef zenon_H1b9.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.44 apply (zenon_L827_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.25/1.44 apply (zenon_L413_); trivial.
% 1.25/1.44 apply (zenon_L828_); trivial.
% 1.25/1.44 (* end of lemma zenon_L829_ *)
% 1.25/1.44 assert (zenon_L830_ : ((ndr1_0)/\((c1_1 (a2524))/\((c3_1 (a2524))/\(~(c2_1 (a2524)))))) -> ((~(hskp9))\/((ndr1_0)/\((c1_1 (a2526))/\((c3_1 (a2526))/\(~(c0_1 (a2526))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> ((hskp23)\/(hskp27)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(hskp6)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp9)\/(hskp4))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> False).
% 1.25/1.44 do 0 intro. intros zenon_H25b zenon_H1f5 zenon_H12e zenon_H174 zenon_H1b3 zenon_H163 zenon_H189 zenon_H1b9 zenon_H2da zenon_H254 zenon_H148 zenon_H177 zenon_H20d zenon_H1bc zenon_H11d zenon_H63 zenon_Hba zenon_H190 zenon_Hef zenon_H1e7 zenon_H75 zenon_H142 zenon_Hcb zenon_Hdd zenon_H18b zenon_Ha2 zenon_H101 zenon_H74 zenon_H2d8 zenon_H5f zenon_H129 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H1 zenon_H7 zenon_H6f zenon_Hb9.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H12. zenon_intro zenon_H25f.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H1fb. zenon_intro zenon_H260.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H1fc. zenon_intro zenon_H1fa.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.25/1.44 apply (zenon_L813_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.44 apply (zenon_L825_); trivial.
% 1.25/1.44 apply (zenon_L819_); trivial.
% 1.25/1.44 apply (zenon_L829_); trivial.
% 1.25/1.44 (* end of lemma zenon_L830_ *)
% 1.25/1.44 assert (zenon_L831_ : ((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(hskp14)) -> False).
% 1.25/1.44 do 0 intro. intros zenon_H50 zenon_H2da zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_He8.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2db ].
% 1.25/1.44 apply (zenon_L809_); trivial.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H13 | zenon_intro zenon_He9 ].
% 1.25/1.44 apply (zenon_L10_); trivial.
% 1.25/1.44 exact (zenon_He8 zenon_He9).
% 1.25/1.44 (* end of lemma zenon_L831_ *)
% 1.25/1.44 assert (zenon_L832_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(hskp2)) -> (~(hskp20)) -> ((hskp21)\/((hskp2)\/(hskp20))) -> False).
% 1.25/1.44 do 0 intro. intros zenon_H54 zenon_H2da zenon_He8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H75 zenon_H77 zenon_H79.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.44 apply (zenon_L35_); trivial.
% 1.25/1.44 apply (zenon_L831_); trivial.
% 1.25/1.44 (* end of lemma zenon_L832_ *)
% 1.25/1.44 assert (zenon_L833_ : ((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((hskp21)\/((hskp2)\/(hskp20))) -> (~(hskp2)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> (~(hskp14)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> False).
% 1.25/1.44 do 0 intro. intros zenon_Hb2 zenon_Hb3 zenon_Hae zenon_H49 zenon_H79 zenon_H75 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_He8 zenon_H2da zenon_H54.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.25/1.44 apply (zenon_L832_); trivial.
% 1.25/1.44 apply (zenon_L48_); trivial.
% 1.25/1.44 (* end of lemma zenon_L833_ *)
% 1.25/1.44 assert (zenon_L834_ : ((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp23)\/(hskp27)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.25/1.44 do 0 intro. intros zenon_Hb2 zenon_Hb3 zenon_Hae zenon_H49 zenon_H92 zenon_Hdd zenon_H12f zenon_H114 zenon_Hcb zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e0 zenon_He8 zenon_Heb zenon_Hef.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.25/1.44 apply (zenon_L182_); trivial.
% 1.25/1.44 apply (zenon_L48_); trivial.
% 1.25/1.44 (* end of lemma zenon_L834_ *)
% 1.25/1.44 assert (zenon_L835_ : ((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> (~(hskp21)) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (~(hskp2)) -> False).
% 1.25/1.44 do 0 intro. intros zenon_Hea zenon_H1e7 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H9 zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_H75.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H1e8 ].
% 1.25/1.44 apply (zenon_L71_); trivial.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H93 | zenon_intro zenon_H76 ].
% 1.25/1.44 apply (zenon_L291_); trivial.
% 1.25/1.44 exact (zenon_H75 zenon_H76).
% 1.25/1.44 (* end of lemma zenon_L835_ *)
% 1.25/1.44 assert (zenon_L836_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> (~(hskp15)) -> (~(hskp4)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (ndr1_0) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp23)\/(hskp27)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> False).
% 1.25/1.44 do 0 intro. intros zenon_Hba zenon_H63 zenon_H61 zenon_H5f zenon_Hef zenon_H241 zenon_H152 zenon_Hd6 zenon_H227 zenon_H226 zenon_H225 zenon_H12 zenon_H163 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H20d zenon_H1d8 zenon_H1d9 zenon_H49 zenon_H4b zenon_H75 zenon_H1e7 zenon_H174 zenon_H177 zenon_Ha2 zenon_H9d zenon_H7f zenon_Hcb zenon_H114 zenon_H12f zenon_Hdd zenon_H92 zenon_H142 zenon_H54.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.44 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.25/1.44 apply (zenon_L257_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H164 | zenon_intro zenon_H170 ].
% 1.25/1.44 apply (zenon_L107_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H167. zenon_intro zenon_H172.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H168. zenon_intro zenon_H169.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H1e8 ].
% 1.25/1.44 apply (zenon_L71_); trivial.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H93 | zenon_intro zenon_H76 ].
% 1.25/1.44 apply (zenon_L300_); trivial.
% 1.25/1.44 exact (zenon_H75 zenon_H76).
% 1.25/1.44 apply (zenon_L835_); trivial.
% 1.25/1.44 apply (zenon_L272_); trivial.
% 1.25/1.44 apply (zenon_L97_); trivial.
% 1.25/1.44 (* end of lemma zenon_L836_ *)
% 1.25/1.44 assert (zenon_L837_ : ((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp23)\/(hskp27)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.25/1.44 do 0 intro. intros zenon_Hb2 zenon_Hb3 zenon_Hae zenon_H49 zenon_H92 zenon_Hdd zenon_H12f zenon_H114 zenon_Hcb zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e0 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H142 zenon_H75 zenon_H1e7 zenon_Hef.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.25/1.44 apply (zenon_L189_); trivial.
% 1.25/1.44 apply (zenon_L48_); trivial.
% 1.25/1.44 (* end of lemma zenon_L837_ *)
% 1.25/1.44 assert (zenon_L838_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (~(c3_1 (a2525))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp23)\/(hskp27)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> (~(hskp10)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.25/1.44 do 0 intro. intros zenon_Hfe zenon_H1b9 zenon_Hb3 zenon_Hae zenon_H1d7 zenon_H1e0 zenon_H11b zenon_H11d zenon_H54 zenon_H142 zenon_H92 zenon_Hdd zenon_H12f zenon_H114 zenon_Hcb zenon_H7f zenon_H9d zenon_Ha2 zenon_H177 zenon_H174 zenon_H1e7 zenon_H75 zenon_H4b zenon_H49 zenon_H1d9 zenon_H1d8 zenon_H20d zenon_H163 zenon_H225 zenon_H226 zenon_H227 zenon_Hd6 zenon_H152 zenon_H241 zenon_Hef zenon_H5f zenon_H63 zenon_Hba.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.25/1.44 apply (zenon_L836_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.25/1.44 apply (zenon_L269_); trivial.
% 1.25/1.44 apply (zenon_L837_); trivial.
% 1.25/1.44 (* end of lemma zenon_L838_ *)
% 1.25/1.44 assert (zenon_L839_ : ((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(hskp17)) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp14)) -> False).
% 1.25/1.44 do 0 intro. intros zenon_Hd8 zenon_H2da zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H146 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H148 zenon_He8.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H12. zenon_intro zenon_Hda.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_Hcf. zenon_intro zenon_Hdb.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hcd. zenon_intro zenon_Hce.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2db ].
% 1.25/1.44 apply (zenon_L809_); trivial.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H13 | zenon_intro zenon_He9 ].
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H131 | zenon_intro zenon_H149 ].
% 1.25/1.44 apply (zenon_L238_); trivial.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hcc | zenon_intro zenon_H147 ].
% 1.25/1.44 apply (zenon_L59_); trivial.
% 1.25/1.44 exact (zenon_H146 zenon_H147).
% 1.25/1.44 exact (zenon_He8 zenon_He9).
% 1.25/1.44 (* end of lemma zenon_L839_ *)
% 1.25/1.44 assert (zenon_L840_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> (~(hskp14)) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(hskp23)) -> ((hskp23)\/(hskp27)) -> False).
% 1.25/1.44 do 0 intro. intros zenon_Hdd zenon_H2da zenon_He8 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H146 zenon_H148 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_Hc7 zenon_Hcb.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hd8 ].
% 1.25/1.44 apply (zenon_L58_); trivial.
% 1.25/1.44 apply (zenon_L839_); trivial.
% 1.25/1.44 (* end of lemma zenon_L840_ *)
% 1.25/1.44 assert (zenon_L841_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> (~(hskp14)) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((hskp23)\/(hskp27)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp16)) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.25/1.44 do 0 intro. intros zenon_H54 zenon_Hdd zenon_H2da zenon_He8 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H146 zenon_H148 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_Hcb zenon_H144 zenon_H5 zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_Hef.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.44 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.25/1.44 apply (zenon_L840_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2db ].
% 1.25/1.44 apply (zenon_L809_); trivial.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H13 | zenon_intro zenon_He9 ].
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H131 | zenon_intro zenon_H145 ].
% 1.25/1.44 apply (zenon_L238_); trivial.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H93 | zenon_intro zenon_H6 ].
% 1.25/1.44 apply (zenon_L291_); trivial.
% 1.25/1.44 exact (zenon_H5 zenon_H6).
% 1.25/1.44 exact (zenon_He8 zenon_He9).
% 1.25/1.44 apply (zenon_L831_); trivial.
% 1.25/1.44 (* end of lemma zenon_L841_ *)
% 1.25/1.44 assert (zenon_L842_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> False).
% 1.25/1.44 do 0 intro. intros zenon_H18d zenon_H177 zenon_H230 zenon_H227 zenon_H226 zenon_H225 zenon_H2d8 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H11b zenon_H11d.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.25/1.44 apply (zenon_L815_); trivial.
% 1.25/1.44 apply (zenon_L289_); trivial.
% 1.25/1.44 (* end of lemma zenon_L842_ *)
% 1.25/1.44 assert (zenon_L843_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp14)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> False).
% 1.25/1.44 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_H177 zenon_H230 zenon_H227 zenon_H226 zenon_H225 zenon_H2d8 zenon_H1bc zenon_H11b zenon_H11d zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H148 zenon_He8 zenon_H254 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H2da.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.44 apply (zenon_L821_); trivial.
% 1.25/1.44 apply (zenon_L842_); trivial.
% 1.25/1.44 (* end of lemma zenon_L843_ *)
% 1.25/1.44 assert (zenon_L844_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> (~(hskp14)) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((hskp23)\/(hskp27)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.25/1.44 do 0 intro. intros zenon_Hb9 zenon_H254 zenon_H54 zenon_Hdd zenon_H2da zenon_He8 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H148 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_Hcb zenon_H144 zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_Hef zenon_H11d zenon_H11b zenon_H1bc zenon_H2d8 zenon_H230 zenon_H177 zenon_H190.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.44 apply (zenon_L841_); trivial.
% 1.25/1.44 apply (zenon_L842_); trivial.
% 1.25/1.44 apply (zenon_L843_); trivial.
% 1.25/1.44 (* end of lemma zenon_L844_ *)
% 1.25/1.44 assert (zenon_L845_ : ((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> ((hskp23)\/(hskp27)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> False).
% 1.25/1.44 do 0 intro. intros zenon_Hb2 zenon_Hef zenon_H142 zenon_H92 zenon_H8e zenon_H8b zenon_Hcb zenon_H7f zenon_H1fc zenon_H1fb zenon_H1fa zenon_H146 zenon_H148 zenon_Hdd zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H75 zenon_H1e7 zenon_Ha2.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.25/1.44 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.25/1.44 apply (zenon_L241_); trivial.
% 1.25/1.44 apply (zenon_L41_); trivial.
% 1.25/1.44 apply (zenon_L205_); trivial.
% 1.25/1.44 apply (zenon_L188_); trivial.
% 1.25/1.44 (* end of lemma zenon_L845_ *)
% 1.25/1.44 assert (zenon_L846_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> ((hskp23)\/(hskp27)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (ndr1_0) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> False).
% 1.25/1.44 do 0 intro. intros zenon_Hba zenon_Hef zenon_H142 zenon_H92 zenon_H8e zenon_H8b zenon_Hcb zenon_H7f zenon_H146 zenon_H148 zenon_Hdd zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H75 zenon_H1e7 zenon_Ha2 zenon_H152 zenon_Hd6 zenon_H227 zenon_H226 zenon_H225 zenon_H12 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H177.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.25/1.44 apply (zenon_L324_); trivial.
% 1.25/1.44 apply (zenon_L845_); trivial.
% 1.25/1.44 (* end of lemma zenon_L846_ *)
% 1.25/1.44 assert (zenon_L847_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp23)\/(hskp27)) -> (~(hskp13)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> (~(hskp10)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.25/1.44 do 0 intro. intros zenon_Hfe zenon_H1b9 zenon_H190 zenon_H11d zenon_H11b zenon_Ha2 zenon_H1e7 zenon_H75 zenon_Hdd zenon_H148 zenon_H7f zenon_Hcb zenon_H8b zenon_H8e zenon_H92 zenon_H142 zenon_Hef zenon_H177 zenon_H20d zenon_H1fc zenon_H1fb zenon_H1fa zenon_H225 zenon_H226 zenon_H227 zenon_Hd6 zenon_H152 zenon_H5f zenon_H63 zenon_Hba.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.25/1.44 apply (zenon_L325_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.44 apply (zenon_L846_); trivial.
% 1.25/1.44 apply (zenon_L126_); trivial.
% 1.25/1.44 (* end of lemma zenon_L847_ *)
% 1.25/1.44 assert (zenon_L848_ : (~(hskp22)) -> (hskp22) -> False).
% 1.25/1.44 do 0 intro. intros zenon_H2dc zenon_H2dd.
% 1.25/1.44 exact (zenon_H2dc zenon_H2dd).
% 1.25/1.44 (* end of lemma zenon_L848_ *)
% 1.25/1.44 assert (zenon_L849_ : ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> (c0_1 (a2553)) -> (~(c3_1 (a2553))) -> (~(c1_1 (a2553))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp22)) -> False).
% 1.25/1.44 do 0 intro. intros zenon_H2de zenon_He1 zenon_He0 zenon_Hdf zenon_H12 zenon_H1d zenon_H2dc.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_Hde | zenon_intro zenon_H2df ].
% 1.25/1.44 apply (zenon_L63_); trivial.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1e | zenon_intro zenon_H2dd ].
% 1.25/1.44 exact (zenon_H1d zenon_H1e).
% 1.25/1.44 exact (zenon_H2dc zenon_H2dd).
% 1.25/1.44 (* end of lemma zenon_L849_ *)
% 1.25/1.44 assert (zenon_L850_ : ((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp22)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> False).
% 1.25/1.44 do 0 intro. intros zenon_Hea zenon_H51 zenon_H3e zenon_H4b zenon_H2dc zenon_H2de zenon_Hbc zenon_Hbd zenon_Hbe zenon_H49 zenon_Hc5.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ].
% 1.25/1.44 apply (zenon_L53_); trivial.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H12. zenon_intro zenon_H4e.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H40. zenon_intro zenon_H4f.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H41. zenon_intro zenon_H42.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H1d | zenon_intro zenon_H39 ].
% 1.25/1.44 apply (zenon_L849_); trivial.
% 1.25/1.44 apply (zenon_L21_); trivial.
% 1.25/1.44 (* end of lemma zenon_L850_ *)
% 1.25/1.44 assert (zenon_L851_ : (forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42)))))) -> (ndr1_0) -> (~(c1_1 (a2552))) -> (~(c3_1 (a2552))) -> (c2_1 (a2552)) -> False).
% 1.25/1.44 do 0 intro. intros zenon_H2d0 zenon_H12 zenon_H2e0 zenon_H2e1 zenon_H2e2.
% 1.25/1.44 generalize (zenon_H2d0 (a2552)). zenon_intro zenon_H2e3.
% 1.25/1.44 apply (zenon_imply_s _ _ zenon_H2e3); [ zenon_intro zenon_H11 | zenon_intro zenon_H2e4 ].
% 1.25/1.44 exact (zenon_H11 zenon_H12).
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H2e5 ].
% 1.25/1.44 exact (zenon_H2e0 zenon_H2e6).
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2e8 | zenon_intro zenon_H2e7 ].
% 1.25/1.44 exact (zenon_H2e1 zenon_H2e8).
% 1.25/1.44 exact (zenon_H2e7 zenon_H2e2).
% 1.25/1.44 (* end of lemma zenon_L851_ *)
% 1.25/1.44 assert (zenon_L852_ : (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (~(c1_1 (a2529))) -> (c0_1 (a2529)) -> (c3_1 (a2529)) -> False).
% 1.25/1.44 do 0 intro. intros zenon_H23 zenon_H12 zenon_H2e9 zenon_H40 zenon_H42.
% 1.25/1.44 generalize (zenon_H23 (a2529)). zenon_intro zenon_H2ea.
% 1.25/1.44 apply (zenon_imply_s _ _ zenon_H2ea); [ zenon_intro zenon_H11 | zenon_intro zenon_H2eb ].
% 1.25/1.44 exact (zenon_H11 zenon_H12).
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H2ed | zenon_intro zenon_H2ec ].
% 1.25/1.44 exact (zenon_H2e9 zenon_H2ed).
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H46 | zenon_intro zenon_H47 ].
% 1.25/1.44 exact (zenon_H46 zenon_H40).
% 1.25/1.44 exact (zenon_H47 zenon_H42).
% 1.25/1.44 (* end of lemma zenon_L852_ *)
% 1.25/1.44 assert (zenon_L853_ : (forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))) -> (ndr1_0) -> (c0_1 (a2529)) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (c3_1 (a2529)) -> False).
% 1.25/1.44 do 0 intro. intros zenon_H14a zenon_H12 zenon_H40 zenon_H23 zenon_H42.
% 1.25/1.44 generalize (zenon_H14a (a2529)). zenon_intro zenon_H2ee.
% 1.25/1.44 apply (zenon_imply_s _ _ zenon_H2ee); [ zenon_intro zenon_H11 | zenon_intro zenon_H2ef ].
% 1.25/1.44 exact (zenon_H11 zenon_H12).
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H46 | zenon_intro zenon_H2f0 ].
% 1.25/1.44 exact (zenon_H46 zenon_H40).
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_H2e9 | zenon_intro zenon_H47 ].
% 1.25/1.44 apply (zenon_L852_); trivial.
% 1.25/1.44 exact (zenon_H47 zenon_H42).
% 1.25/1.44 (* end of lemma zenon_L853_ *)
% 1.25/1.44 assert (zenon_L854_ : ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (c2_1 (a2552)) -> (~(c3_1 (a2552))) -> (~(c1_1 (a2552))) -> (forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))) -> (ndr1_0) -> (c0_1 (a2529)) -> (c3_1 (a2529)) -> False).
% 1.25/1.44 do 0 intro. intros zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H2e2 zenon_H2e1 zenon_H2e0 zenon_H14a zenon_H12 zenon_H40 zenon_H42.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2d9 ].
% 1.25/1.44 apply (zenon_L809_); trivial.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H23 ].
% 1.25/1.44 apply (zenon_L851_); trivial.
% 1.25/1.44 apply (zenon_L853_); trivial.
% 1.25/1.44 (* end of lemma zenon_L854_ *)
% 1.25/1.44 assert (zenon_L855_ : ((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (~(c1_1 (a2552))) -> (~(c3_1 (a2552))) -> (c2_1 (a2552)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp10)) -> False).
% 1.25/1.44 do 0 intro. intros zenon_H4d zenon_H157 zenon_H68 zenon_H67 zenon_H66 zenon_H2e0 zenon_H2e1 zenon_H2e2 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2d8 zenon_Hd6.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H12. zenon_intro zenon_H4e.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H40. zenon_intro zenon_H4f.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H41. zenon_intro zenon_H42.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H65 | zenon_intro zenon_H158 ].
% 1.25/1.44 apply (zenon_L29_); trivial.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H14a | zenon_intro zenon_Hd7 ].
% 1.25/1.44 apply (zenon_L854_); trivial.
% 1.25/1.44 exact (zenon_Hd6 zenon_Hd7).
% 1.25/1.44 (* end of lemma zenon_L855_ *)
% 1.25/1.44 assert (zenon_L856_ : ((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> False).
% 1.25/1.44 do 0 intro. intros zenon_H2f1 zenon_H51 zenon_H157 zenon_Hd6 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2d8 zenon_H68 zenon_H67 zenon_H66 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H49 zenon_Hc5.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H12. zenon_intro zenon_H2f2.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H2e2. zenon_intro zenon_H2f3.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H2e0. zenon_intro zenon_H2e1.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ].
% 1.25/1.44 apply (zenon_L53_); trivial.
% 1.25/1.44 apply (zenon_L855_); trivial.
% 1.25/1.44 (* end of lemma zenon_L856_ *)
% 1.25/1.44 assert (zenon_L857_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> ((hskp23)\/(hskp27)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.25/1.44 do 0 intro. intros zenon_Hb6 zenon_H2f4 zenon_H157 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2d8 zenon_Hdd zenon_Hd9 zenon_Hd6 zenon_Hbe zenon_Hbd zenon_Hbc zenon_Hcb zenon_Hc5 zenon_H49 zenon_H2de zenon_H4b zenon_H3e zenon_H51 zenon_Hef.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2f1 ].
% 1.25/1.44 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.25/1.44 apply (zenon_L62_); trivial.
% 1.25/1.44 apply (zenon_L850_); trivial.
% 1.25/1.44 apply (zenon_L856_); trivial.
% 1.25/1.44 (* end of lemma zenon_L857_ *)
% 1.25/1.44 assert (zenon_L858_ : ((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> ((hskp23)\/(hskp27)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.25/1.44 do 0 intro. intros zenon_H19a zenon_Hb9 zenon_H2f4 zenon_H157 zenon_H2de zenon_H54 zenon_H1f zenon_H21 zenon_Hdd zenon_Hd9 zenon_Hd6 zenon_Hbe zenon_Hbd zenon_Hbc zenon_Hcb zenon_H51 zenon_H3e zenon_H4b zenon_H1a2 zenon_H49 zenon_Hc5 zenon_H1b3 zenon_H1e9 zenon_H11b zenon_H11d zenon_H1b7 zenon_Hef zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H129 zenon_H5f zenon_H2d8 zenon_H74.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.25/1.44 apply (zenon_L309_); trivial.
% 1.25/1.44 apply (zenon_L811_); trivial.
% 1.25/1.44 apply (zenon_L857_); trivial.
% 1.25/1.44 (* end of lemma zenon_L858_ *)
% 1.25/1.44 assert (zenon_L859_ : ((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> ((hskp23)\/(hskp27)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> (~(hskp10)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.25/1.44 do 0 intro. intros zenon_H1b8 zenon_H1b9 zenon_Hb9 zenon_H2f4 zenon_H157 zenon_H2de zenon_H54 zenon_H1f zenon_H21 zenon_Hdd zenon_Hd9 zenon_Hcb zenon_H51 zenon_H3e zenon_H4b zenon_H1a2 zenon_H49 zenon_Hc5 zenon_H1b3 zenon_H1e9 zenon_H11b zenon_H11d zenon_H1b7 zenon_Hef zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H129 zenon_H2d8 zenon_H74 zenon_H177 zenon_H20d zenon_H1fc zenon_H1fb zenon_H1fa zenon_H225 zenon_H226 zenon_H227 zenon_Hd6 zenon_H152 zenon_H5f zenon_H63 zenon_Hba.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.25/1.44 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.25/1.44 apply (zenon_L325_); trivial.
% 1.25/1.44 apply (zenon_L858_); trivial.
% 1.25/1.44 (* end of lemma zenon_L859_ *)
% 1.25/1.44 assert (zenon_L860_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp14)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> False).
% 1.25/1.44 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_H177 zenon_H230 zenon_H227 zenon_H226 zenon_H225 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H148 zenon_He8 zenon_H254 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H2da.
% 1.25/1.44 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.45 apply (zenon_L821_); trivial.
% 1.25/1.45 apply (zenon_L343_); trivial.
% 1.25/1.45 (* end of lemma zenon_L860_ *)
% 1.25/1.45 assert (zenon_L861_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> (~(hskp14)) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((hskp23)\/(hskp27)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.25/1.45 do 0 intro. intros zenon_Hb9 zenon_H254 zenon_H54 zenon_Hdd zenon_H2da zenon_He8 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H148 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_Hcb zenon_H144 zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_Hef zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H230 zenon_H177 zenon_H190.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.45 apply (zenon_L841_); trivial.
% 1.25/1.45 apply (zenon_L343_); trivial.
% 1.25/1.45 apply (zenon_L860_); trivial.
% 1.25/1.45 (* end of lemma zenon_L861_ *)
% 1.25/1.45 assert (zenon_L862_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> (~(hskp10)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp23)\/(hskp27)) -> (~(hskp13)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.25/1.45 do 0 intro. intros zenon_Hfe zenon_H190 zenon_H230 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H177 zenon_H20d zenon_H1fc zenon_H1fb zenon_H1fa zenon_H225 zenon_H226 zenon_H227 zenon_Hd6 zenon_H152 zenon_Ha2 zenon_H1e7 zenon_H75 zenon_Hdd zenon_H148 zenon_H7f zenon_Hcb zenon_H8b zenon_H8e zenon_H92 zenon_H142 zenon_Hef zenon_Hba.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.45 apply (zenon_L846_); trivial.
% 1.25/1.45 apply (zenon_L343_); trivial.
% 1.25/1.45 (* end of lemma zenon_L862_ *)
% 1.25/1.45 assert (zenon_L863_ : ((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((hskp21)\/(hskp22))) -> (~(hskp21)) -> (~(hskp22)) -> False).
% 1.25/1.45 do 0 intro. intros zenon_H8d zenon_H2f5 zenon_H9 zenon_H2dc.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H12. zenon_intro zenon_H8f.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H84. zenon_intro zenon_H90.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H82. zenon_intro zenon_H83.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H81 | zenon_intro zenon_H2f6 ].
% 1.25/1.45 apply (zenon_L39_); trivial.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H2f6); [ zenon_intro zenon_Ha | zenon_intro zenon_H2dd ].
% 1.25/1.45 exact (zenon_H9 zenon_Ha).
% 1.25/1.45 exact (zenon_H2dc zenon_H2dd).
% 1.25/1.45 (* end of lemma zenon_L863_ *)
% 1.25/1.45 assert (zenon_L864_ : ((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((hskp21)\/(hskp22))) -> (~(hskp22)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (~(hskp21)) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> False).
% 1.25/1.45 do 0 intro. intros zenon_Hea zenon_H92 zenon_H2f5 zenon_H2dc zenon_H241 zenon_H9 zenon_H227 zenon_H226 zenon_H225 zenon_H49 zenon_H9d.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.25/1.45 apply (zenon_L576_); trivial.
% 1.25/1.45 apply (zenon_L863_); trivial.
% 1.25/1.45 (* end of lemma zenon_L864_ *)
% 1.25/1.45 assert (zenon_L865_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((hskp21)\/(hskp22))) -> (~(hskp22)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (~(hskp21)) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> (~(hskp10)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> False).
% 1.25/1.45 do 0 intro. intros zenon_Hef zenon_H92 zenon_H2f5 zenon_H2dc zenon_H241 zenon_H9 zenon_H227 zenon_H226 zenon_H225 zenon_H49 zenon_H9d zenon_Hcb zenon_Hbc zenon_Hbd zenon_Hbe zenon_Hd6 zenon_Hd9 zenon_Hdd.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.25/1.45 apply (zenon_L62_); trivial.
% 1.25/1.45 apply (zenon_L864_); trivial.
% 1.25/1.45 (* end of lemma zenon_L865_ *)
% 1.25/1.45 assert (zenon_L866_ : ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(c3_1 (a2553))) -> (c0_1 (a2553)) -> (~(c1_1 (a2553))) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))) -> (c3_1 (a2529)) -> (c0_1 (a2529)) -> (ndr1_0) -> (~(c1_1 (a2552))) -> (~(c3_1 (a2552))) -> (c2_1 (a2552)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp10)) -> False).
% 1.25/1.45 do 0 intro. intros zenon_H157 zenon_He0 zenon_He1 zenon_Hdf zenon_H93 zenon_H42 zenon_H40 zenon_H12 zenon_H2e0 zenon_H2e1 zenon_H2e2 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2d8 zenon_Hd6.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H65 | zenon_intro zenon_H158 ].
% 1.25/1.45 apply (zenon_L94_); trivial.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H14a | zenon_intro zenon_Hd7 ].
% 1.25/1.45 apply (zenon_L854_); trivial.
% 1.25/1.45 exact (zenon_Hd6 zenon_Hd7).
% 1.25/1.45 (* end of lemma zenon_L866_ *)
% 1.25/1.45 assert (zenon_L867_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(c0_1 (a2539))) -> (~(c2_1 (a2539))) -> (c3_1 (a2539)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> ((hskp23)\/(hskp27)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> (~(hskp21)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.25/1.45 do 0 intro. intros zenon_H2f4 zenon_H1b7 zenon_H177 zenon_H230 zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H157 zenon_H191 zenon_H192 zenon_H193 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H1b3 zenon_Hc5 zenon_H1a2 zenon_H4b zenon_H3e zenon_H51 zenon_Hdd zenon_Hd9 zenon_Hd6 zenon_Hbe zenon_Hbd zenon_Hbc zenon_Hcb zenon_H9d zenon_H49 zenon_H225 zenon_H226 zenon_H227 zenon_H9 zenon_H241 zenon_H2f5 zenon_H92 zenon_Hef.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2f1 ].
% 1.25/1.45 apply (zenon_L865_); trivial.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H12. zenon_intro zenon_H2f2.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H2e2. zenon_intro zenon_H2f3.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H2e0. zenon_intro zenon_H2e1.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.25/1.45 apply (zenon_L62_); trivial.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1b2 ].
% 1.25/1.45 apply (zenon_L141_); trivial.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H12. zenon_intro zenon_H1b4.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H1a4. zenon_intro zenon_H1b5.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H1a5. zenon_intro zenon_H1a6.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ].
% 1.25/1.45 apply (zenon_L53_); trivial.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H12. zenon_intro zenon_H4e.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H40. zenon_intro zenon_H4f.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H41. zenon_intro zenon_H42.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.25/1.45 apply (zenon_L557_); trivial.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H102 | zenon_intro zenon_H1b6 ].
% 1.25/1.45 apply (zenon_L125_); trivial.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H93 | zenon_intro zenon_H14a ].
% 1.25/1.45 apply (zenon_L866_); trivial.
% 1.25/1.45 apply (zenon_L346_); trivial.
% 1.25/1.45 (* end of lemma zenon_L867_ *)
% 1.25/1.45 assert (zenon_L868_ : ((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((hskp21)\/(hskp22))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> (~(hskp10)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> False).
% 1.25/1.45 do 0 intro. intros zenon_H19a zenon_H54 zenon_H1f zenon_H21 zenon_Hef zenon_H92 zenon_H2f5 zenon_H241 zenon_H227 zenon_H226 zenon_H225 zenon_H49 zenon_H9d zenon_Hcb zenon_Hbc zenon_Hbd zenon_Hbe zenon_Hd6 zenon_Hd9 zenon_Hdd zenon_H51 zenon_H3e zenon_H4b zenon_H1a2 zenon_Hc5 zenon_H1b3 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H157 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2d8 zenon_H230 zenon_H177 zenon_H1b7 zenon_H2f4.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.45 apply (zenon_L867_); trivial.
% 1.25/1.45 apply (zenon_L54_); trivial.
% 1.25/1.45 (* end of lemma zenon_L868_ *)
% 1.25/1.45 assert (zenon_L869_ : ((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((hskp21)\/(hskp22))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((hskp23)\/(hskp27)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> (~(hskp10)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.25/1.45 do 0 intro. intros zenon_H1b8 zenon_H1b9 zenon_H54 zenon_H1f zenon_H21 zenon_Hef zenon_H92 zenon_H2f5 zenon_H241 zenon_H49 zenon_H9d zenon_Hcb zenon_Hd9 zenon_Hdd zenon_H51 zenon_H3e zenon_H4b zenon_H1a2 zenon_Hc5 zenon_H1b3 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H157 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2d8 zenon_H230 zenon_H1b7 zenon_H2f4 zenon_H177 zenon_H20d zenon_H1fc zenon_H1fb zenon_H1fa zenon_H225 zenon_H226 zenon_H227 zenon_Hd6 zenon_H152 zenon_H5f zenon_H63 zenon_Hba.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.25/1.45 apply (zenon_L325_); trivial.
% 1.25/1.45 apply (zenon_L868_); trivial.
% 1.25/1.45 (* end of lemma zenon_L869_ *)
% 1.25/1.45 assert (zenon_L870_ : ((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (c3_1 (a2539)) -> (~(c2_1 (a2539))) -> (~(c0_1 (a2539))) -> (~(hskp17)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c0_1 (a2564)) -> (~(c2_1 (a2564))) -> (~(c1_1 (a2564))) -> (c3_1 (a2528)) -> (~(c1_1 (a2528))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp11)) -> False).
% 1.25/1.45 do 0 intro. intros zenon_Hd8 zenon_H11d zenon_H193 zenon_H192 zenon_H191 zenon_H146 zenon_H223 zenon_H84 zenon_H83 zenon_H82 zenon_H105 zenon_H10d zenon_H1fa zenon_H1fb zenon_H1fc zenon_H148 zenon_H11b.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H12. zenon_intro zenon_Hda.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_Hcf. zenon_intro zenon_Hdb.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hcd. zenon_intro zenon_Hce.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H102 | zenon_intro zenon_H11e ].
% 1.25/1.45 apply (zenon_L125_); trivial.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H118 | zenon_intro zenon_H11c ].
% 1.25/1.45 apply (zenon_L246_); trivial.
% 1.25/1.45 exact (zenon_H11b zenon_H11c).
% 1.25/1.45 (* end of lemma zenon_L870_ *)
% 1.25/1.45 assert (zenon_L871_ : ((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (c3_1 (a2528)) -> (~(c1_1 (a2528))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2539)) -> (~(c2_1 (a2539))) -> (~(c0_1 (a2539))) -> (~(hskp23)) -> ((hskp23)\/(hskp27)) -> False).
% 1.25/1.45 do 0 intro. intros zenon_H8d zenon_Hdd zenon_H11d zenon_H11b zenon_H223 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H105 zenon_H10d zenon_H146 zenon_H148 zenon_H193 zenon_H192 zenon_H191 zenon_Hc7 zenon_Hcb.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H12. zenon_intro zenon_H8f.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H84. zenon_intro zenon_H90.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H82. zenon_intro zenon_H83.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hd8 ].
% 1.25/1.45 apply (zenon_L58_); trivial.
% 1.25/1.45 apply (zenon_L870_); trivial.
% 1.25/1.45 (* end of lemma zenon_L871_ *)
% 1.25/1.45 assert (zenon_L872_ : ((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2528)) -> (~(c1_1 (a2528))) -> ((hskp23)\/(hskp27)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> False).
% 1.25/1.45 do 0 intro. intros zenon_H19a zenon_H190 zenon_Hef zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_H92 zenon_H11d zenon_H11b zenon_H223 zenon_H105 zenon_H10d zenon_Hcb zenon_H7f zenon_H1fc zenon_H1fb zenon_H1fa zenon_H148 zenon_Hdd zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H75 zenon_H1e7 zenon_Ha2 zenon_H142 zenon_H54.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.45 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.25/1.45 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.25/1.45 apply (zenon_L241_); trivial.
% 1.25/1.45 apply (zenon_L871_); trivial.
% 1.25/1.45 apply (zenon_L205_); trivial.
% 1.25/1.45 apply (zenon_L835_); trivial.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.25/1.45 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.25/1.45 apply (zenon_L38_); trivial.
% 1.25/1.45 apply (zenon_L871_); trivial.
% 1.25/1.45 apply (zenon_L205_); trivial.
% 1.25/1.45 apply (zenon_L188_); trivial.
% 1.25/1.45 apply (zenon_L126_); trivial.
% 1.25/1.45 (* end of lemma zenon_L872_ *)
% 1.25/1.45 assert (zenon_L873_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539))))))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> ((hskp23)\/(hskp27)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.25/1.45 do 0 intro. intros zenon_Hfe zenon_H1b9 zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_H54 zenon_Hef zenon_H142 zenon_H92 zenon_H11d zenon_H11b zenon_H223 zenon_H105 zenon_H103 zenon_H10d zenon_Hcb zenon_H7f zenon_H1fc zenon_H1fb zenon_H1fa zenon_H148 zenon_Hdd zenon_H75 zenon_H1e7 zenon_Ha2 zenon_H177 zenon_H20d zenon_H2d8 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H5f zenon_H63 zenon_Hba zenon_H190.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.45 apply (zenon_L250_); trivial.
% 1.25/1.45 apply (zenon_L823_); trivial.
% 1.25/1.45 apply (zenon_L872_); trivial.
% 1.25/1.45 (* end of lemma zenon_L873_ *)
% 1.25/1.45 assert (zenon_L874_ : ((ndr1_0)/\((c3_1 (a2528))/\((~(c0_1 (a2528)))/\(~(c1_1 (a2528)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534))))))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((hskp23)\/(hskp27)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> (~(hskp4)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> False).
% 1.25/1.45 do 0 intro. intros zenon_H1d1 zenon_H12e zenon_H1d5 zenon_H1f zenon_H21 zenon_H51 zenon_H3e zenon_H1a2 zenon_Hc5 zenon_H216 zenon_H1b7 zenon_H8e zenon_H49 zenon_H4b zenon_Hb9 zenon_H254 zenon_H54 zenon_Hdd zenon_H2da zenon_H1fa zenon_H1fb zenon_H1fc zenon_H148 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_Hcb zenon_H144 zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_Hef zenon_H11d zenon_H1bc zenon_H2d8 zenon_H230 zenon_H177 zenon_H190 zenon_Hba zenon_H63 zenon_H5f zenon_H20d zenon_Ha2 zenon_H1e7 zenon_H75 zenon_H7f zenon_H223 zenon_H92 zenon_H142 zenon_H1b9 zenon_H101.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.45 apply (zenon_L844_); trivial.
% 1.25/1.45 apply (zenon_L873_); trivial.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.45 apply (zenon_L861_); trivial.
% 1.25/1.45 apply (zenon_L500_); trivial.
% 1.25/1.45 apply (zenon_L351_); trivial.
% 1.25/1.45 (* end of lemma zenon_L874_ *)
% 1.25/1.45 assert (zenon_L875_ : ((~(hskp10))\/((ndr1_0)/\((c3_1 (a2528))/\((~(c0_1 (a2528)))/\(~(c1_1 (a2528))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((hskp23)\/(hskp27)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> (~(hskp4)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((hskp21)\/(hskp22))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531))))))) -> False).
% 1.25/1.45 do 0 intro. intros zenon_H1d4 zenon_H216 zenon_H223 zenon_H1d5 zenon_H2f4 zenon_H157 zenon_H2de zenon_H1f zenon_H21 zenon_Hd9 zenon_H51 zenon_H3e zenon_H4b zenon_H1a2 zenon_H49 zenon_Hc5 zenon_H1b3 zenon_H1e9 zenon_H1b7 zenon_H129 zenon_H74 zenon_Hb9 zenon_H254 zenon_H54 zenon_Hdd zenon_H2da zenon_H1fa zenon_H1fb zenon_H1fc zenon_H148 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_Hcb zenon_H144 zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_Hef zenon_H11d zenon_H1bc zenon_H2d8 zenon_H230 zenon_H177 zenon_H190 zenon_Hba zenon_H63 zenon_H5f zenon_H152 zenon_H20d zenon_H142 zenon_H92 zenon_H8e zenon_H7f zenon_H75 zenon_H1e7 zenon_Ha2 zenon_H1b9 zenon_H101 zenon_H9d zenon_H2f5 zenon_H12e.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.45 apply (zenon_L844_); trivial.
% 1.25/1.45 apply (zenon_L847_); trivial.
% 1.25/1.45 apply (zenon_L859_); trivial.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.45 apply (zenon_L861_); trivial.
% 1.25/1.45 apply (zenon_L862_); trivial.
% 1.25/1.45 apply (zenon_L869_); trivial.
% 1.25/1.45 apply (zenon_L874_); trivial.
% 1.25/1.45 (* end of lemma zenon_L875_ *)
% 1.25/1.45 assert (zenon_L876_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> (~(hskp16)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.25/1.45 do 0 intro. intros zenon_H74 zenon_H2d8 zenon_H5f zenon_H129 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_Hdd zenon_H148 zenon_H146 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H1e9 zenon_H5 zenon_H144 zenon_Hef.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.25/1.45 apply (zenon_L194_); trivial.
% 1.25/1.45 apply (zenon_L811_); trivial.
% 1.25/1.45 (* end of lemma zenon_L876_ *)
% 1.25/1.45 assert (zenon_L877_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.25/1.45 do 0 intro. intros zenon_H190 zenon_H177 zenon_H230 zenon_H227 zenon_H226 zenon_H225 zenon_H1bc zenon_H11b zenon_H11d zenon_Hef zenon_H144 zenon_H5 zenon_H1e9 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_Hdd zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H129 zenon_H5f zenon_H2d8 zenon_H74.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.45 apply (zenon_L876_); trivial.
% 1.25/1.45 apply (zenon_L842_); trivial.
% 1.25/1.45 (* end of lemma zenon_L877_ *)
% 1.25/1.45 assert (zenon_L878_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> False).
% 1.25/1.45 do 0 intro. intros zenon_Hb6 zenon_H54 zenon_H2da zenon_He8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H225 zenon_H226 zenon_H227 zenon_H241.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.25/1.45 apply (zenon_L295_); trivial.
% 1.25/1.45 apply (zenon_L831_); trivial.
% 1.25/1.45 (* end of lemma zenon_L878_ *)
% 1.25/1.45 assert (zenon_L879_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.25/1.45 do 0 intro. intros zenon_Hb9 zenon_H54 zenon_H2da zenon_He8 zenon_H241 zenon_H74 zenon_H2d8 zenon_H5f zenon_H129 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H1e9 zenon_H144 zenon_Hef zenon_H11d zenon_H11b zenon_H1bc zenon_H225 zenon_H226 zenon_H227 zenon_H230 zenon_H177 zenon_H190.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.45 apply (zenon_L877_); trivial.
% 1.25/1.45 apply (zenon_L878_); trivial.
% 1.25/1.45 (* end of lemma zenon_L879_ *)
% 1.25/1.45 assert (zenon_L880_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.25/1.45 do 0 intro. intros zenon_Hfe zenon_Hb9 zenon_Ha2 zenon_H18b zenon_H142 zenon_H75 zenon_H1e7 zenon_H74 zenon_H2d8 zenon_H5f zenon_H129 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H1e9 zenon_H144 zenon_Hef zenon_H11d zenon_H11b zenon_H1bc zenon_H225 zenon_H226 zenon_H227 zenon_H230 zenon_H177 zenon_H190.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.45 apply (zenon_L877_); trivial.
% 1.25/1.45 apply (zenon_L207_); trivial.
% 1.25/1.45 (* end of lemma zenon_L880_ *)
% 1.25/1.45 assert (zenon_L881_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.25/1.45 do 0 intro. intros zenon_H190 zenon_H177 zenon_H230 zenon_H227 zenon_H226 zenon_H225 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_Hef zenon_H144 zenon_H5 zenon_H1e9 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_Hdd zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H129 zenon_H5f zenon_H2d8 zenon_H74.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.45 apply (zenon_L876_); trivial.
% 1.25/1.45 apply (zenon_L343_); trivial.
% 1.25/1.45 (* end of lemma zenon_L881_ *)
% 1.25/1.45 assert (zenon_L882_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.25/1.45 do 0 intro. intros zenon_Hb9 zenon_H54 zenon_H2da zenon_He8 zenon_H241 zenon_H74 zenon_H2d8 zenon_H5f zenon_H129 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H1e9 zenon_H144 zenon_Hef zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H225 zenon_H226 zenon_H227 zenon_H230 zenon_H177 zenon_H190.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.45 apply (zenon_L881_); trivial.
% 1.25/1.45 apply (zenon_L878_); trivial.
% 1.25/1.45 (* end of lemma zenon_L882_ *)
% 1.25/1.45 assert (zenon_L883_ : ((ndr1_0)/\((c1_1 (a2526))/\((c3_1 (a2526))/\(~(c0_1 (a2526)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((hskp23)\/(hskp27)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> False).
% 1.25/1.45 do 0 intro. intros zenon_H1f6 zenon_H12e zenon_Hb9 zenon_H54 zenon_H2da zenon_H241 zenon_H74 zenon_H2d8 zenon_H5f zenon_H129 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_Hdd zenon_H148 zenon_Hcb zenon_H1e9 zenon_H144 zenon_Hef zenon_H11d zenon_H1bc zenon_H225 zenon_H226 zenon_H227 zenon_H230 zenon_H177 zenon_H190 zenon_H1e7 zenon_H75 zenon_H142 zenon_H18b zenon_Ha2 zenon_H101.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.45 apply (zenon_L879_); trivial.
% 1.25/1.45 apply (zenon_L880_); trivial.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.45 apply (zenon_L882_); trivial.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.45 apply (zenon_L881_); trivial.
% 1.25/1.45 apply (zenon_L207_); trivial.
% 1.25/1.45 (* end of lemma zenon_L883_ *)
% 1.25/1.45 assert (zenon_L884_ : (~(hskp5)) -> (hskp5) -> False).
% 1.25/1.45 do 0 intro. intros zenon_H2f7 zenon_H2f8.
% 1.25/1.45 exact (zenon_H2f7 zenon_H2f8).
% 1.25/1.45 (* end of lemma zenon_L884_ *)
% 1.25/1.45 assert (zenon_L885_ : ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c1_1 (a2521))) -> (ndr1_0) -> (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10)))))) -> (~(hskp5)) -> (~(hskp22)) -> False).
% 1.25/1.45 do 0 intro. intros zenon_H2f9 zenon_H262 zenon_H263 zenon_H261 zenon_H12 zenon_H1e2 zenon_H2f7 zenon_H2dc.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H2f9); [ zenon_intro zenon_H23 | zenon_intro zenon_H2fa ].
% 1.25/1.45 apply (zenon_L420_); trivial.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H2fa); [ zenon_intro zenon_H2f8 | zenon_intro zenon_H2dd ].
% 1.25/1.45 exact (zenon_H2f7 zenon_H2f8).
% 1.25/1.45 exact (zenon_H2dc zenon_H2dd).
% 1.25/1.45 (* end of lemma zenon_L885_ *)
% 1.25/1.45 assert (zenon_L886_ : ((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(hskp24)) -> (~(hskp25)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(c1_1 (a2521))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(hskp5)) -> (~(hskp22)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> False).
% 1.25/1.45 do 0 intro. intros zenon_H173 zenon_H174 zenon_H216 zenon_H7b zenon_H7d zenon_H7f zenon_H261 zenon_H263 zenon_H262 zenon_H2f7 zenon_H2dc zenon_H2f9 zenon_Hc7 zenon_H163.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H164 | zenon_intro zenon_H170 ].
% 1.25/1.45 apply (zenon_L107_); trivial.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H167. zenon_intro zenon_H172.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H168. zenon_intro zenon_H169.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H217 ].
% 1.25/1.45 apply (zenon_L885_); trivial.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H14a | zenon_intro zenon_H3f ].
% 1.25/1.45 apply (zenon_L108_); trivial.
% 1.25/1.45 apply (zenon_L283_); trivial.
% 1.25/1.45 (* end of lemma zenon_L886_ *)
% 1.25/1.45 assert (zenon_L887_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(hskp24)) -> (~(hskp25)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(c1_1 (a2521))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(hskp5)) -> (~(hskp22)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a2541))) -> (~(c2_1 (a2541))) -> (c3_1 (a2541)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (ndr1_0) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> False).
% 1.25/1.45 do 0 intro. intros zenon_H177 zenon_H174 zenon_H216 zenon_H7b zenon_H7d zenon_H7f zenon_H261 zenon_H263 zenon_H262 zenon_H2f7 zenon_H2dc zenon_H2f9 zenon_Hc7 zenon_H163 zenon_H2d8 zenon_H180 zenon_H181 zenon_H182 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H12 zenon_H11b zenon_H11d.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.25/1.45 apply (zenon_L815_); trivial.
% 1.25/1.45 apply (zenon_L886_); trivial.
% 1.25/1.45 (* end of lemma zenon_L887_ *)
% 1.25/1.45 assert (zenon_L888_ : ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a2517))) -> (~(hskp29)) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> (~(c1_1 (a2541))) -> (~(c2_1 (a2541))) -> (c3_1 (a2541)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (ndr1_0) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> False).
% 1.25/1.45 do 0 intro. intros zenon_H2d8 zenon_H2c7 zenon_H150 zenon_H2c8 zenon_H2c9 zenon_H180 zenon_H181 zenon_H182 zenon_H1bc zenon_H12 zenon_H24 zenon_H25 zenon_H26.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2d9 ].
% 1.25/1.45 apply (zenon_L809_); trivial.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H23 ].
% 1.25/1.45 apply (zenon_L814_); trivial.
% 1.25/1.45 apply (zenon_L14_); trivial.
% 1.25/1.45 (* end of lemma zenon_L888_ *)
% 1.25/1.45 assert (zenon_L889_ : (forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))) -> (ndr1_0) -> (forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))) -> (c0_1 (a2597)) -> (c3_1 (a2597)) -> False).
% 1.25/1.45 do 0 intro. intros zenon_H21f zenon_H12 zenon_H3f zenon_H167 zenon_H169.
% 1.25/1.45 generalize (zenon_H21f (a2597)). zenon_intro zenon_H2fb.
% 1.25/1.45 apply (zenon_imply_s _ _ zenon_H2fb); [ zenon_intro zenon_H11 | zenon_intro zenon_H2fc ].
% 1.25/1.45 exact (zenon_H11 zenon_H12).
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H2fc); [ zenon_intro zenon_H239 | zenon_intro zenon_H2fd ].
% 1.25/1.45 apply (zenon_L281_); trivial.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H2fd); [ zenon_intro zenon_H16d | zenon_intro zenon_H16e ].
% 1.25/1.45 exact (zenon_H16d zenon_H167).
% 1.25/1.45 exact (zenon_H16e zenon_H169).
% 1.25/1.45 (* end of lemma zenon_L889_ *)
% 1.25/1.45 assert (zenon_L890_ : ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c0_1 (a2564)) -> (~(c2_1 (a2564))) -> (~(c1_1 (a2564))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> (ndr1_0) -> (forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))) -> (c0_1 (a2597)) -> (c3_1 (a2597)) -> False).
% 1.25/1.45 do 0 intro. intros zenon_H223 zenon_H84 zenon_H83 zenon_H82 zenon_H263 zenon_H262 zenon_H261 zenon_H12 zenon_H3f zenon_H167 zenon_H169.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H81 | zenon_intro zenon_H224 ].
% 1.25/1.45 apply (zenon_L39_); trivial.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H10c | zenon_intro zenon_H21f ].
% 1.25/1.45 apply (zenon_L418_); trivial.
% 1.25/1.45 apply (zenon_L889_); trivial.
% 1.25/1.45 (* end of lemma zenon_L890_ *)
% 1.25/1.45 assert (zenon_L891_ : ((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(hskp22)) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c0_1 (a2564)) -> (~(c2_1 (a2564))) -> (~(c1_1 (a2564))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> False).
% 1.25/1.45 do 0 intro. intros zenon_H170 zenon_H216 zenon_H2dc zenon_H2f7 zenon_H2f9 zenon_H223 zenon_H84 zenon_H83 zenon_H82 zenon_H263 zenon_H262 zenon_H261.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H167. zenon_intro zenon_H172.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H168. zenon_intro zenon_H169.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H217 ].
% 1.25/1.45 apply (zenon_L885_); trivial.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H14a | zenon_intro zenon_H3f ].
% 1.25/1.45 apply (zenon_L108_); trivial.
% 1.25/1.45 apply (zenon_L890_); trivial.
% 1.25/1.45 (* end of lemma zenon_L891_ *)
% 1.25/1.45 assert (zenon_L892_ : ((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(c1_1 (a2564))) -> (~(c2_1 (a2564))) -> (c0_1 (a2564)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (~(c1_1 (a2521))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(hskp5)) -> (~(hskp22)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> False).
% 1.25/1.45 do 0 intro. intros zenon_H173 zenon_H174 zenon_H216 zenon_H82 zenon_H83 zenon_H84 zenon_H223 zenon_H261 zenon_H263 zenon_H262 zenon_H2f7 zenon_H2dc zenon_H2f9 zenon_Hc7 zenon_H163.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H164 | zenon_intro zenon_H170 ].
% 1.25/1.45 apply (zenon_L107_); trivial.
% 1.25/1.45 apply (zenon_L891_); trivial.
% 1.25/1.45 (* end of lemma zenon_L892_ *)
% 1.25/1.45 assert (zenon_L893_ : ((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (~(c1_1 (a2521))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(hskp5)) -> (~(hskp22)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> False).
% 1.25/1.45 do 0 intro. intros zenon_H8d zenon_H177 zenon_H174 zenon_H216 zenon_H223 zenon_H261 zenon_H263 zenon_H262 zenon_H2f7 zenon_H2dc zenon_H2f9 zenon_Hc7 zenon_H163 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H182 zenon_H181 zenon_H180 zenon_H24 zenon_H25 zenon_H26 zenon_H2d8.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H12. zenon_intro zenon_H8f.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H84. zenon_intro zenon_H90.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H82. zenon_intro zenon_H83.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.25/1.45 apply (zenon_L888_); trivial.
% 1.25/1.45 apply (zenon_L892_); trivial.
% 1.25/1.45 (* end of lemma zenon_L893_ *)
% 1.25/1.45 assert (zenon_L894_ : ((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c2_1 (a2555)) -> (c0_1 (a2555)) -> (~(c1_1 (a2555))) -> (c2_1 (a2545)) -> (c1_1 (a2545)) -> (~(c0_1 (a2545))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> (~(hskp22)) -> (~(hskp5)) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> False).
% 1.25/1.45 do 0 intro. intros zenon_H173 zenon_H174 zenon_H1f3 zenon_H96 zenon_H95 zenon_H94 zenon_H58 zenon_H57 zenon_H56 zenon_H2f9 zenon_H2dc zenon_H2f7 zenon_H262 zenon_H263 zenon_H261 zenon_H216 zenon_Hc7 zenon_H163.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H164 | zenon_intro zenon_H170 ].
% 1.25/1.45 apply (zenon_L107_); trivial.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H167. zenon_intro zenon_H172.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H168. zenon_intro zenon_H169.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H1f4 ].
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H217 ].
% 1.25/1.45 apply (zenon_L885_); trivial.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H14a | zenon_intro zenon_H3f ].
% 1.25/1.45 apply (zenon_L108_); trivial.
% 1.25/1.45 apply (zenon_L616_); trivial.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H55 | zenon_intro zenon_H93 ].
% 1.25/1.45 apply (zenon_L25_); trivial.
% 1.25/1.45 apply (zenon_L43_); trivial.
% 1.25/1.45 (* end of lemma zenon_L894_ *)
% 1.25/1.45 assert (zenon_L895_ : ((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c2_1 (a2545)) -> (c1_1 (a2545)) -> (~(c0_1 (a2545))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> (~(hskp22)) -> (~(hskp5)) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a2541))) -> (~(c2_1 (a2541))) -> (c3_1 (a2541)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> False).
% 1.25/1.45 do 0 intro. intros zenon_H9f zenon_H177 zenon_H174 zenon_H1f3 zenon_H58 zenon_H57 zenon_H56 zenon_H2f9 zenon_H2dc zenon_H2f7 zenon_H262 zenon_H263 zenon_H261 zenon_H216 zenon_Hc7 zenon_H163 zenon_H2d8 zenon_H180 zenon_H181 zenon_H182 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H11b zenon_H11d.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.25/1.45 apply (zenon_L815_); trivial.
% 1.25/1.45 apply (zenon_L894_); trivial.
% 1.25/1.45 (* end of lemma zenon_L895_ *)
% 1.25/1.45 assert (zenon_L896_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c2_1 (a2545)) -> (c1_1 (a2545)) -> (~(c0_1 (a2545))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(c1_1 (a2521))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(hskp5)) -> (~(hskp22)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a2541))) -> (~(c2_1 (a2541))) -> (c3_1 (a2541)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (ndr1_0) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> False).
% 1.25/1.45 do 0 intro. intros zenon_Ha2 zenon_H1f3 zenon_H58 zenon_H57 zenon_H56 zenon_H177 zenon_H174 zenon_H216 zenon_H7f zenon_H261 zenon_H263 zenon_H262 zenon_H2f7 zenon_H2dc zenon_H2f9 zenon_Hc7 zenon_H163 zenon_H2d8 zenon_H180 zenon_H181 zenon_H182 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H12 zenon_H11b zenon_H11d zenon_H26 zenon_H25 zenon_H24 zenon_H223 zenon_H92.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.25/1.45 apply (zenon_L887_); trivial.
% 1.25/1.45 apply (zenon_L893_); trivial.
% 1.25/1.45 apply (zenon_L895_); trivial.
% 1.25/1.45 (* end of lemma zenon_L896_ *)
% 1.25/1.45 assert (zenon_L897_ : ((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> False).
% 1.25/1.45 do 0 intro. intros zenon_H2f1 zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H24 zenon_H25 zenon_H26.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H12. zenon_intro zenon_H2f2.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H2e2. zenon_intro zenon_H2f3.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H2e0. zenon_intro zenon_H2e1.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2d9 ].
% 1.25/1.45 apply (zenon_L809_); trivial.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H23 ].
% 1.25/1.45 apply (zenon_L851_); trivial.
% 1.25/1.45 apply (zenon_L14_); trivial.
% 1.25/1.45 (* end of lemma zenon_L897_ *)
% 1.25/1.45 assert (zenon_L898_ : ((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> (c2_1 (a2545)) -> (c1_1 (a2545)) -> (~(c0_1 (a2545))) -> (~(hskp3)) -> False).
% 1.25/1.45 do 0 intro. intros zenon_Had zenon_H1f3 zenon_Hae zenon_H262 zenon_H261 zenon_H58 zenon_H57 zenon_H56 zenon_H49.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H1f4 ].
% 1.25/1.45 apply (zenon_L47_); trivial.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H55 | zenon_intro zenon_H93 ].
% 1.25/1.45 apply (zenon_L25_); trivial.
% 1.25/1.45 apply (zenon_L427_); trivial.
% 1.25/1.45 (* end of lemma zenon_L898_ *)
% 1.25/1.45 assert (zenon_L899_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> (~(hskp3)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> (~(hskp6)) -> (~(hskp16)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> False).
% 1.25/1.45 do 0 intro. intros zenon_H18d zenon_Hba zenon_H74 zenon_Hb3 zenon_H49 zenon_Hae zenon_Hef zenon_Heb zenon_He8 zenon_H92 zenon_H223 zenon_H163 zenon_H2f9 zenon_H2f7 zenon_H262 zenon_H263 zenon_H261 zenon_H7f zenon_H216 zenon_H174 zenon_H1f3 zenon_Ha2 zenon_H2f4 zenon_H1 zenon_H5 zenon_H7 zenon_H11d zenon_H11b zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H2d8 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H177.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.25/1.45 apply (zenon_L822_); trivial.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.25/1.45 apply (zenon_L4_); trivial.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2f1 ].
% 1.25/1.45 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.25/1.45 apply (zenon_L896_); trivial.
% 1.25/1.45 apply (zenon_L65_); trivial.
% 1.25/1.45 apply (zenon_L897_); trivial.
% 1.25/1.45 apply (zenon_L898_); trivial.
% 1.25/1.45 (* end of lemma zenon_L899_ *)
% 1.25/1.45 assert (zenon_L900_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> (ndr1_0) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(hskp5)) -> (~(hskp22)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> (~(c0_1 (a2545))) -> (c1_1 (a2545)) -> (c2_1 (a2545)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> False).
% 1.25/1.45 do 0 intro. intros zenon_Hef zenon_H189 zenon_H27a zenon_H68 zenon_H67 zenon_H66 zenon_H263 zenon_H262 zenon_H261 zenon_H12 zenon_H11d zenon_H11b zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H182 zenon_H181 zenon_H180 zenon_H2d8 zenon_H163 zenon_H216 zenon_H2f7 zenon_H2dc zenon_H2f9 zenon_H56 zenon_H57 zenon_H58 zenon_H1f3 zenon_H174 zenon_H177 zenon_Ha2.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.25/1.45 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.25/1.45 apply (zenon_L437_); trivial.
% 1.25/1.45 apply (zenon_L895_); trivial.
% 1.25/1.45 apply (zenon_L409_); trivial.
% 1.25/1.45 (* end of lemma zenon_L900_ *)
% 1.25/1.45 assert (zenon_L901_ : ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (c2_1 (a2552)) -> (~(c3_1 (a2552))) -> (~(c1_1 (a2552))) -> (ndr1_0) -> (~(c1_1 (a2541))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31)))))) -> (~(c2_1 (a2541))) -> (c3_1 (a2541)) -> False).
% 1.25/1.45 do 0 intro. intros zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H2e2 zenon_H2e1 zenon_H2e0 zenon_H12 zenon_H180 zenon_H102 zenon_H181 zenon_H182.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2d9 ].
% 1.25/1.45 apply (zenon_L809_); trivial.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H23 ].
% 1.25/1.45 apply (zenon_L851_); trivial.
% 1.25/1.45 apply (zenon_L208_); trivial.
% 1.25/1.45 (* end of lemma zenon_L901_ *)
% 1.25/1.45 assert (zenon_L902_ : ((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> (~(c1_1 (a2552))) -> (~(c3_1 (a2552))) -> (c2_1 (a2552)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2555)) -> (c0_1 (a2555)) -> (~(c1_1 (a2555))) -> False).
% 1.25/1.45 do 0 intro. intros zenon_H170 zenon_H1b3 zenon_H182 zenon_H181 zenon_H180 zenon_H2e0 zenon_H2e1 zenon_H2e2 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2d8 zenon_H96 zenon_H95 zenon_H94.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H167. zenon_intro zenon_H172.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H168. zenon_intro zenon_H169.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H102 | zenon_intro zenon_H1b6 ].
% 1.25/1.45 apply (zenon_L901_); trivial.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H93 | zenon_intro zenon_H14a ].
% 1.25/1.45 apply (zenon_L43_); trivial.
% 1.25/1.45 apply (zenon_L108_); trivial.
% 1.25/1.45 (* end of lemma zenon_L902_ *)
% 1.25/1.45 assert (zenon_L903_ : ((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (c2_1 (a2555)) -> (c0_1 (a2555)) -> (~(c1_1 (a2555))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> (~(c1_1 (a2552))) -> (~(c3_1 (a2552))) -> (c2_1 (a2552)) -> (~(c1_1 (a2541))) -> (~(c2_1 (a2541))) -> (c3_1 (a2541)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> False).
% 1.25/1.45 do 0 intro. intros zenon_H173 zenon_H174 zenon_H1b3 zenon_H96 zenon_H95 zenon_H94 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2e0 zenon_H2e1 zenon_H2e2 zenon_H180 zenon_H181 zenon_H182 zenon_H2d8 zenon_Hc7 zenon_H163.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H164 | zenon_intro zenon_H170 ].
% 1.25/1.45 apply (zenon_L107_); trivial.
% 1.25/1.45 apply (zenon_L902_); trivial.
% 1.25/1.45 (* end of lemma zenon_L903_ *)
% 1.25/1.45 assert (zenon_L904_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(c1_1 (a2552))) -> (~(c3_1 (a2552))) -> (c2_1 (a2552)) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (ndr1_0) -> (~(c1_1 (a2541))) -> (~(c2_1 (a2541))) -> (c3_1 (a2541)) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> False).
% 1.25/1.45 do 0 intro. intros zenon_Ha2 zenon_H177 zenon_H174 zenon_H1b3 zenon_H2e0 zenon_H2e1 zenon_H2e2 zenon_Hc7 zenon_H163 zenon_H2d8 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H11b zenon_H11d zenon_H12 zenon_H180 zenon_H181 zenon_H182 zenon_H66 zenon_H67 zenon_H68 zenon_H18b.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.25/1.45 apply (zenon_L120_); trivial.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.25/1.45 apply (zenon_L815_); trivial.
% 1.25/1.45 apply (zenon_L903_); trivial.
% 1.25/1.45 (* end of lemma zenon_L904_ *)
% 1.25/1.45 assert (zenon_L905_ : ((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(c1_1 (a2552))) -> (~(c3_1 (a2552))) -> (c2_1 (a2552)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2555)) -> (c0_1 (a2555)) -> (~(c1_1 (a2555))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> (~(c1_1 (a2553))) -> (~(c3_1 (a2553))) -> (c0_1 (a2553)) -> False).
% 1.25/1.45 do 0 intro. intros zenon_H173 zenon_H1b3 zenon_H2e0 zenon_H2e1 zenon_H2e2 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2d8 zenon_H96 zenon_H95 zenon_H94 zenon_H189 zenon_H182 zenon_H181 zenon_H180 zenon_Hdf zenon_He0 zenon_He1.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H102 | zenon_intro zenon_H1b6 ].
% 1.25/1.45 apply (zenon_L901_); trivial.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H93 | zenon_intro zenon_H14a ].
% 1.25/1.45 apply (zenon_L43_); trivial.
% 1.25/1.45 apply (zenon_L168_); trivial.
% 1.25/1.45 (* end of lemma zenon_L905_ *)
% 1.25/1.45 assert (zenon_L906_ : ((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> False).
% 1.25/1.45 do 0 intro. intros zenon_H2f1 zenon_Hef zenon_H189 zenon_H18b zenon_H68 zenon_H67 zenon_H66 zenon_H182 zenon_H181 zenon_H180 zenon_H11d zenon_H11b zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H2d8 zenon_H163 zenon_H1b3 zenon_H174 zenon_H177 zenon_Ha2.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H12. zenon_intro zenon_H2f2.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H2e2. zenon_intro zenon_H2f3.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H2e0. zenon_intro zenon_H2e1.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.25/1.45 apply (zenon_L904_); trivial.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.25/1.45 apply (zenon_L120_); trivial.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.25/1.45 apply (zenon_L815_); trivial.
% 1.25/1.45 apply (zenon_L905_); trivial.
% 1.25/1.45 (* end of lemma zenon_L906_ *)
% 1.25/1.45 assert (zenon_L907_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> False).
% 1.25/1.45 do 0 intro. intros zenon_H18d zenon_Hba zenon_H2f4 zenon_H18b zenon_H1b3 zenon_Ha2 zenon_H174 zenon_H1f3 zenon_H2f9 zenon_H2f7 zenon_H216 zenon_H163 zenon_H261 zenon_H262 zenon_H263 zenon_H66 zenon_H67 zenon_H68 zenon_H27a zenon_H189 zenon_Hef zenon_H11d zenon_H11b zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H2d8 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H177.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.25/1.45 apply (zenon_L822_); trivial.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.25/1.45 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.25/1.45 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2f1 ].
% 1.25/1.45 apply (zenon_L900_); trivial.
% 1.25/1.45 apply (zenon_L906_); trivial.
% 1.25/1.45 (* end of lemma zenon_L907_ *)
% 1.25/1.45 assert (zenon_L908_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp14)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> False).
% 1.25/1.46 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_Hba zenon_H2f4 zenon_H18b zenon_H1b3 zenon_Ha2 zenon_H174 zenon_H1f3 zenon_H2f9 zenon_H2f7 zenon_H216 zenon_H163 zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_H189 zenon_Hef zenon_H11d zenon_H11b zenon_H1bc zenon_H2d8 zenon_H20d zenon_H177 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H148 zenon_He8 zenon_H254 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H2da.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.25/1.46 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.46 apply (zenon_L821_); trivial.
% 1.25/1.46 apply (zenon_L907_); trivial.
% 1.25/1.46 (* end of lemma zenon_L908_ *)
% 1.25/1.46 assert (zenon_L909_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp23)\/(hskp27)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> (~(hskp6)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.25/1.46 do 0 intro. intros zenon_Hb9 zenon_H18b zenon_H1b3 zenon_H189 zenon_H254 zenon_H2da zenon_H74 zenon_H54 zenon_H21 zenon_H1f zenon_Ha2 zenon_H49 zenon_H9d zenon_Hdd zenon_H148 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H7f zenon_Hcb zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H92 zenon_H1b7 zenon_H3e zenon_H3a zenon_H1a2 zenon_H203 zenon_H51 zenon_H27a zenon_Hef zenon_H1 zenon_H7 zenon_H177 zenon_H20d zenon_H2d8 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H11b zenon_H11d zenon_H2f4 zenon_H1f3 zenon_H174 zenon_H216 zenon_H2f7 zenon_H2f9 zenon_H163 zenon_He8 zenon_Heb zenon_Hae zenon_Hb3 zenon_Hba zenon_H190.
% 1.25/1.46 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.46 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.46 apply (zenon_L453_); trivial.
% 1.25/1.46 apply (zenon_L899_); trivial.
% 1.25/1.46 apply (zenon_L908_); trivial.
% 1.25/1.46 (* end of lemma zenon_L909_ *)
% 1.25/1.46 assert (zenon_L910_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> (~(hskp28)) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> (ndr1_0) -> (~(c1_1 (a2553))) -> (~(c3_1 (a2553))) -> (c0_1 (a2553)) -> (~(hskp22)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> False).
% 1.25/1.46 do 0 intro. intros zenon_H3e zenon_H3a zenon_H37 zenon_H26 zenon_H25 zenon_H24 zenon_H12 zenon_Hdf zenon_He0 zenon_He1 zenon_H2dc zenon_H2de.
% 1.25/1.46 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H1d | zenon_intro zenon_H39 ].
% 1.25/1.46 apply (zenon_L849_); trivial.
% 1.25/1.46 apply (zenon_L17_); trivial.
% 1.25/1.46 (* end of lemma zenon_L910_ *)
% 1.25/1.46 assert (zenon_L911_ : ((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> (~(hskp22)) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> False).
% 1.25/1.46 do 0 intro. intros zenon_Hea zenon_H51 zenon_H203 zenon_H1 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H2de zenon_H2dc zenon_H24 zenon_H25 zenon_H26 zenon_H3a zenon_H3e.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.25/1.46 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ].
% 1.25/1.46 apply (zenon_L910_); trivial.
% 1.25/1.46 apply (zenon_L217_); trivial.
% 1.25/1.46 (* end of lemma zenon_L911_ *)
% 1.25/1.46 assert (zenon_L912_ : ((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c2_1 (a2545)) -> (c1_1 (a2545)) -> (~(c0_1 (a2545))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(c1_1 (a2521))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a2541))) -> (~(c2_1 (a2541))) -> (c3_1 (a2541)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> (~(hskp6)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.25/1.46 do 0 intro. intros zenon_H71 zenon_H2f4 zenon_Ha2 zenon_H1f3 zenon_H58 zenon_H57 zenon_H56 zenon_H177 zenon_H174 zenon_H216 zenon_H7f zenon_H261 zenon_H263 zenon_H262 zenon_H2f7 zenon_H2f9 zenon_H163 zenon_H2d8 zenon_H180 zenon_H181 zenon_H182 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H11b zenon_H11d zenon_H223 zenon_H92 zenon_H3e zenon_H3a zenon_H2de zenon_H1fa zenon_H1fb zenon_H1fc zenon_H1 zenon_H203 zenon_H51 zenon_Hef.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.25/1.46 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2f1 ].
% 1.25/1.46 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.25/1.46 apply (zenon_L896_); trivial.
% 1.25/1.46 apply (zenon_L911_); trivial.
% 1.25/1.46 apply (zenon_L897_); trivial.
% 1.25/1.46 (* end of lemma zenon_L912_ *)
% 1.25/1.46 assert (zenon_L913_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(c1_1 (a2521))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> (~(hskp6)) -> (~(hskp16)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> False).
% 1.25/1.46 do 0 intro. intros zenon_H18d zenon_Hba zenon_H74 zenon_H2f4 zenon_Ha2 zenon_H1f3 zenon_H174 zenon_H216 zenon_H7f zenon_H261 zenon_H263 zenon_H262 zenon_H2f7 zenon_H2f9 zenon_H163 zenon_H223 zenon_H92 zenon_H3e zenon_H3a zenon_H2de zenon_H203 zenon_H51 zenon_Hef zenon_H1 zenon_H5 zenon_H7 zenon_H11d zenon_H11b zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H2d8 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H177.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.25/1.46 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.25/1.46 apply (zenon_L822_); trivial.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.25/1.46 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.25/1.46 apply (zenon_L4_); trivial.
% 1.25/1.46 apply (zenon_L912_); trivial.
% 1.25/1.46 (* end of lemma zenon_L913_ *)
% 1.25/1.46 assert (zenon_L914_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((hskp23)\/(hskp27)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> False).
% 1.25/1.46 do 0 intro. intros zenon_Hef zenon_H1e7 zenon_H75 zenon_H142 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H92 zenon_H261 zenon_H262 zenon_H263 zenon_H223 zenon_Hcb zenon_H7f zenon_H1fc zenon_H1fb zenon_H1fa zenon_H146 zenon_H148 zenon_Hdd zenon_H9d zenon_H49 zenon_Ha2.
% 1.25/1.46 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.25/1.46 apply (zenon_L442_); trivial.
% 1.25/1.46 apply (zenon_L188_); trivial.
% 1.25/1.46 (* end of lemma zenon_L914_ *)
% 1.25/1.46 assert (zenon_L915_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp23)\/(hskp27)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.25/1.46 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_H18b zenon_Ha2 zenon_H49 zenon_H9d zenon_Hdd zenon_H148 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H7f zenon_Hcb zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H92 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H142 zenon_H75 zenon_H1e7 zenon_Hef.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.25/1.46 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.46 apply (zenon_L914_); trivial.
% 1.25/1.46 apply (zenon_L206_); trivial.
% 1.25/1.46 (* end of lemma zenon_L915_ *)
% 1.25/1.46 assert (zenon_L916_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(hskp24)) -> (~(hskp25)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(c1_1 (a2521))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(hskp5)) -> (~(hskp22)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (ndr1_0) -> (~(c1_1 (a2541))) -> (~(c2_1 (a2541))) -> (c3_1 (a2541)) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> False).
% 1.25/1.46 do 0 intro. intros zenon_H177 zenon_H174 zenon_H216 zenon_H7b zenon_H7d zenon_H7f zenon_H261 zenon_H263 zenon_H262 zenon_H2f7 zenon_H2dc zenon_H2f9 zenon_Hc7 zenon_H163 zenon_H12 zenon_H180 zenon_H181 zenon_H182 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc.
% 1.25/1.46 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.25/1.46 apply (zenon_L148_); trivial.
% 1.25/1.46 apply (zenon_L886_); trivial.
% 1.25/1.46 (* end of lemma zenon_L916_ *)
% 1.25/1.46 assert (zenon_L917_ : ((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c2_1 (a2545)) -> (c1_1 (a2545)) -> (~(c0_1 (a2545))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> (~(hskp22)) -> (~(hskp5)) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> False).
% 1.25/1.46 do 0 intro. intros zenon_H9f zenon_H177 zenon_H174 zenon_H1f3 zenon_H58 zenon_H57 zenon_H56 zenon_H2f9 zenon_H2dc zenon_H2f7 zenon_H262 zenon_H263 zenon_H261 zenon_H216 zenon_Hc7 zenon_H163 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H182 zenon_H181 zenon_H180 zenon_H24 zenon_H25 zenon_H26 zenon_H2d8.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.25/1.46 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.25/1.46 apply (zenon_L888_); trivial.
% 1.25/1.46 apply (zenon_L894_); trivial.
% 1.25/1.46 (* end of lemma zenon_L917_ *)
% 1.25/1.46 assert (zenon_L918_ : ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (c2_1 (a2558)) -> (c1_1 (a2558)) -> (c0_1 (a2558)) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> (ndr1_0) -> (forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32)))))) -> (~(hskp3)) -> False).
% 1.25/1.46 do 0 intro. intros zenon_H4b zenon_H30 zenon_H2f zenon_H2e zenon_H26 zenon_H25 zenon_H24 zenon_H12 zenon_H118 zenon_H49.
% 1.25/1.46 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2d | zenon_intro zenon_H4c ].
% 1.25/1.46 apply (zenon_L15_); trivial.
% 1.25/1.46 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H3f | zenon_intro zenon_H4a ].
% 1.25/1.46 apply (zenon_L361_); trivial.
% 1.25/1.46 exact (zenon_H49 zenon_H4a).
% 1.25/1.46 (* end of lemma zenon_L918_ *)
% 1.25/1.46 assert (zenon_L919_ : ((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c2_1 (a2545)) -> (c1_1 (a2545)) -> (~(c0_1 (a2545))) -> (~(hskp3)) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(c1_1 (a2553))) -> (~(c3_1 (a2553))) -> (c0_1 (a2553)) -> False).
% 1.25/1.46 do 0 intro. intros zenon_H39 zenon_H189 zenon_H58 zenon_H57 zenon_H56 zenon_H49 zenon_H24 zenon_H25 zenon_H26 zenon_H4b zenon_Hdf zenon_He0 zenon_He1.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H12. zenon_intro zenon_H3b.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H2e. zenon_intro zenon_H3c.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H2f. zenon_intro zenon_H30.
% 1.25/1.46 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H55 | zenon_intro zenon_H18a ].
% 1.25/1.46 apply (zenon_L25_); trivial.
% 1.25/1.46 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H118 | zenon_intro zenon_Hde ].
% 1.25/1.46 apply (zenon_L918_); trivial.
% 1.25/1.46 apply (zenon_L63_); trivial.
% 1.25/1.46 (* end of lemma zenon_L919_ *)
% 1.25/1.46 assert (zenon_L920_ : ((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (c2_1 (a2545)) -> (c1_1 (a2545)) -> (~(c0_1 (a2545))) -> (~(hskp22)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> False).
% 1.25/1.46 do 0 intro. intros zenon_Hea zenon_H3e zenon_H189 zenon_H24 zenon_H25 zenon_H26 zenon_H49 zenon_H4b zenon_H58 zenon_H57 zenon_H56 zenon_H2dc zenon_H2de.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.25/1.46 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H1d | zenon_intro zenon_H39 ].
% 1.25/1.46 apply (zenon_L849_); trivial.
% 1.25/1.46 apply (zenon_L919_); trivial.
% 1.25/1.46 (* end of lemma zenon_L920_ *)
% 1.25/1.46 assert (zenon_L921_ : ((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c2_1 (a2545)) -> (c1_1 (a2545)) -> (~(c0_1 (a2545))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(c1_1 (a2521))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c1_1 (a2541))) -> (~(c2_1 (a2541))) -> (c3_1 (a2541)) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.25/1.46 do 0 intro. intros zenon_H71 zenon_H2f4 zenon_Ha2 zenon_H1f3 zenon_H58 zenon_H57 zenon_H56 zenon_H177 zenon_H174 zenon_H216 zenon_H7f zenon_H261 zenon_H263 zenon_H262 zenon_H2f7 zenon_H2f9 zenon_H163 zenon_H180 zenon_H181 zenon_H182 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H223 zenon_H92 zenon_H2de zenon_H4b zenon_H49 zenon_H189 zenon_H3e zenon_Hef.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.25/1.46 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2f1 ].
% 1.25/1.46 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.25/1.46 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.25/1.46 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.25/1.46 apply (zenon_L916_); trivial.
% 1.25/1.46 apply (zenon_L893_); trivial.
% 1.25/1.46 apply (zenon_L917_); trivial.
% 1.25/1.46 apply (zenon_L920_); trivial.
% 1.25/1.46 apply (zenon_L897_); trivial.
% 1.25/1.46 (* end of lemma zenon_L921_ *)
% 1.25/1.46 assert (zenon_L922_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(c1_1 (a2521))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> (~(hskp6)) -> (~(hskp16)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> False).
% 1.25/1.46 do 0 intro. intros zenon_H18d zenon_Hba zenon_H74 zenon_H2f4 zenon_Ha2 zenon_H1f3 zenon_H174 zenon_H216 zenon_H7f zenon_H261 zenon_H263 zenon_H262 zenon_H2f7 zenon_H2f9 zenon_H163 zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H223 zenon_H92 zenon_H2de zenon_H4b zenon_H49 zenon_H189 zenon_H3e zenon_Hef zenon_H1 zenon_H5 zenon_H7 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H177.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.25/1.46 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.25/1.46 apply (zenon_L224_); trivial.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.25/1.46 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.25/1.46 apply (zenon_L4_); trivial.
% 1.25/1.46 apply (zenon_L921_); trivial.
% 1.25/1.46 (* end of lemma zenon_L922_ *)
% 1.25/1.46 assert (zenon_L923_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((hskp6)\/((hskp19)\/(hskp16))) -> (~(hskp16)) -> (~(hskp6)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((hskp23)\/(hskp27)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.25/1.46 do 0 intro. intros zenon_H190 zenon_Hba zenon_H2f4 zenon_H1f3 zenon_H174 zenon_H216 zenon_H2f7 zenon_H2f9 zenon_H163 zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H2de zenon_H4b zenon_H189 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H20d zenon_H177 zenon_H7 zenon_H5 zenon_H1 zenon_Hef zenon_H27a zenon_H51 zenon_H203 zenon_H1a2 zenon_H3a zenon_H3e zenon_H1b7 zenon_H92 zenon_H261 zenon_H262 zenon_H263 zenon_H223 zenon_Hcb zenon_H7f zenon_H1fc zenon_H1fb zenon_H1fa zenon_H148 zenon_Hdd zenon_H9d zenon_H49 zenon_Ha2 zenon_H1f zenon_H21 zenon_H54 zenon_H74.
% 1.25/1.46 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.46 apply (zenon_L453_); trivial.
% 1.25/1.46 apply (zenon_L922_); trivial.
% 1.25/1.46 (* end of lemma zenon_L923_ *)
% 1.25/1.46 assert (zenon_L924_ : ((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c2_1 (a2545)) -> (c1_1 (a2545)) -> (~(c0_1 (a2545))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> (~(hskp22)) -> (~(hskp5)) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c1_1 (a2541))) -> (~(c2_1 (a2541))) -> (c3_1 (a2541)) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> False).
% 1.25/1.46 do 0 intro. intros zenon_H9f zenon_H177 zenon_H174 zenon_H1f3 zenon_H58 zenon_H57 zenon_H56 zenon_H2f9 zenon_H2dc zenon_H2f7 zenon_H262 zenon_H263 zenon_H261 zenon_H216 zenon_Hc7 zenon_H163 zenon_H180 zenon_H181 zenon_H182 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.25/1.46 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.25/1.46 apply (zenon_L148_); trivial.
% 1.25/1.46 apply (zenon_L894_); trivial.
% 1.25/1.46 (* end of lemma zenon_L924_ *)
% 1.25/1.46 assert (zenon_L925_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c2_1 (a2545)) -> (c1_1 (a2545)) -> (~(c0_1 (a2545))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> (~(hskp22)) -> (~(hskp5)) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (ndr1_0) -> (~(c1_1 (a2541))) -> (~(c2_1 (a2541))) -> (c3_1 (a2541)) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> False).
% 1.25/1.46 do 0 intro. intros zenon_Ha2 zenon_H177 zenon_H174 zenon_H1f3 zenon_H58 zenon_H57 zenon_H56 zenon_H2f9 zenon_H2dc zenon_H2f7 zenon_H262 zenon_H263 zenon_H261 zenon_H216 zenon_Hc7 zenon_H163 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H12 zenon_H180 zenon_H181 zenon_H182 zenon_H66 zenon_H67 zenon_H68 zenon_H18b.
% 1.25/1.46 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.25/1.46 apply (zenon_L120_); trivial.
% 1.25/1.46 apply (zenon_L924_); trivial.
% 1.25/1.46 (* end of lemma zenon_L925_ *)
% 1.25/1.46 assert (zenon_L926_ : ((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> (~(c1_1 (a2552))) -> (~(c3_1 (a2552))) -> (c2_1 (a2552)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c1_1 (a2541))) -> (~(c2_1 (a2541))) -> (c3_1 (a2541)) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> False).
% 1.25/1.46 do 0 intro. intros zenon_H9f zenon_H177 zenon_H174 zenon_H1b3 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2e0 zenon_H2e1 zenon_H2e2 zenon_H2d8 zenon_Hc7 zenon_H163 zenon_H180 zenon_H181 zenon_H182 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.25/1.46 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.25/1.46 apply (zenon_L148_); trivial.
% 1.25/1.46 apply (zenon_L903_); trivial.
% 1.25/1.46 (* end of lemma zenon_L926_ *)
% 1.25/1.46 assert (zenon_L927_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(c1_1 (a2553))) -> (c0_1 (a2553)) -> (~(c3_1 (a2553))) -> (~(hskp24)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> (~(c1_1 (a2552))) -> (~(c3_1 (a2552))) -> (c2_1 (a2552)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (ndr1_0) -> (~(c1_1 (a2541))) -> (~(c2_1 (a2541))) -> (c3_1 (a2541)) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> False).
% 1.25/1.46 do 0 intro. intros zenon_H177 zenon_H1b3 zenon_H189 zenon_Hdf zenon_He1 zenon_He0 zenon_H7b zenon_H18b zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2e0 zenon_H2e1 zenon_H2e2 zenon_H2d8 zenon_H12 zenon_H180 zenon_H181 zenon_H182 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc.
% 1.25/1.46 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.25/1.46 apply (zenon_L148_); trivial.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.25/1.46 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H102 | zenon_intro zenon_H1b6 ].
% 1.25/1.46 apply (zenon_L901_); trivial.
% 1.25/1.46 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H93 | zenon_intro zenon_H14a ].
% 1.25/1.46 apply (zenon_L167_); trivial.
% 1.25/1.46 apply (zenon_L168_); trivial.
% 1.25/1.46 (* end of lemma zenon_L927_ *)
% 1.25/1.46 assert (zenon_L928_ : ((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(c1_1 (a2553))) -> (~(c3_1 (a2553))) -> (c0_1 (a2553)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> (~(c1_1 (a2552))) -> (~(c3_1 (a2552))) -> (c2_1 (a2552)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a2541))) -> (~(c2_1 (a2541))) -> (c3_1 (a2541)) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> False).
% 1.25/1.46 do 0 intro. intros zenon_H9f zenon_H177 zenon_H1b3 zenon_Hdf zenon_He0 zenon_He1 zenon_H189 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2e0 zenon_H2e1 zenon_H2e2 zenon_H2d8 zenon_H180 zenon_H181 zenon_H182 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.25/1.46 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.25/1.46 apply (zenon_L148_); trivial.
% 1.25/1.46 apply (zenon_L905_); trivial.
% 1.25/1.46 (* end of lemma zenon_L928_ *)
% 1.25/1.46 assert (zenon_L929_ : ((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> False).
% 1.25/1.46 do 0 intro. intros zenon_H2f1 zenon_Hef zenon_H189 zenon_H18b zenon_H68 zenon_H67 zenon_H66 zenon_H182 zenon_H181 zenon_H180 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H163 zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H1b3 zenon_H174 zenon_H177 zenon_Ha2.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H12. zenon_intro zenon_H2f2.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H2e2. zenon_intro zenon_H2f3.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H2e0. zenon_intro zenon_H2e1.
% 1.25/1.46 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.25/1.46 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.25/1.46 apply (zenon_L120_); trivial.
% 1.25/1.46 apply (zenon_L926_); trivial.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.25/1.46 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.25/1.46 apply (zenon_L927_); trivial.
% 1.25/1.46 apply (zenon_L928_); trivial.
% 1.25/1.46 (* end of lemma zenon_L929_ *)
% 1.25/1.46 assert (zenon_L930_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c2_1 (a2545)) -> (c1_1 (a2545)) -> (~(c0_1 (a2545))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (ndr1_0) -> (~(c1_1 (a2541))) -> (~(c2_1 (a2541))) -> (c3_1 (a2541)) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (~(hskp20)) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.25/1.46 do 0 intro. intros zenon_H2f4 zenon_H189 zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H1b3 zenon_Ha2 zenon_H177 zenon_H174 zenon_H1f3 zenon_H58 zenon_H57 zenon_H56 zenon_H2f9 zenon_H2f7 zenon_H262 zenon_H263 zenon_H261 zenon_H216 zenon_H163 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H12 zenon_H180 zenon_H181 zenon_H182 zenon_H66 zenon_H67 zenon_H68 zenon_H18b zenon_H77 zenon_He8 zenon_Heb zenon_Hef.
% 1.25/1.46 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2f1 ].
% 1.25/1.46 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.25/1.46 apply (zenon_L925_); trivial.
% 1.25/1.46 apply (zenon_L65_); trivial.
% 1.25/1.46 apply (zenon_L929_); trivial.
% 1.25/1.46 (* end of lemma zenon_L930_ *)
% 1.25/1.46 assert (zenon_L931_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> (~(hskp3)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(c1_1 (a2521))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp14)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> False).
% 1.25/1.46 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_Hba zenon_Hb3 zenon_H49 zenon_Hae zenon_Hef zenon_Heb zenon_H18b zenon_H163 zenon_H216 zenon_H261 zenon_H263 zenon_H262 zenon_H2f7 zenon_H2f9 zenon_H1f3 zenon_H174 zenon_Ha2 zenon_H1b3 zenon_H2d8 zenon_H189 zenon_H2f4 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H20d zenon_H177 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H148 zenon_He8 zenon_H254 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H2da.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.25/1.46 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.46 apply (zenon_L821_); trivial.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.25/1.46 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.25/1.46 apply (zenon_L224_); trivial.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.25/1.46 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.25/1.46 apply (zenon_L930_); trivial.
% 1.25/1.46 apply (zenon_L898_); trivial.
% 1.25/1.46 (* end of lemma zenon_L931_ *)
% 1.25/1.46 assert (zenon_L932_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp14)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp23)\/(hskp27)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> (~(hskp6)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.25/1.46 do 0 intro. intros zenon_Hb9 zenon_Hb3 zenon_Hae zenon_Heb zenon_H18b zenon_H1b3 zenon_He8 zenon_H254 zenon_H2da zenon_H74 zenon_H54 zenon_H21 zenon_H1f zenon_Ha2 zenon_H49 zenon_H9d zenon_Hdd zenon_H148 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H7f zenon_Hcb zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H92 zenon_H1b7 zenon_H3e zenon_H3a zenon_H1a2 zenon_H203 zenon_H51 zenon_H27a zenon_Hef zenon_H1 zenon_H7 zenon_H177 zenon_H20d zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H189 zenon_H4b zenon_H2de zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2d8 zenon_H163 zenon_H2f9 zenon_H2f7 zenon_H216 zenon_H174 zenon_H1f3 zenon_H2f4 zenon_Hba zenon_H190.
% 1.25/1.46 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.46 apply (zenon_L923_); trivial.
% 1.25/1.46 apply (zenon_L931_); trivial.
% 1.25/1.46 (* end of lemma zenon_L932_ *)
% 1.25/1.46 assert (zenon_L933_ : ((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((hskp6)\/((hskp19)\/(hskp16))) -> (~(hskp6)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((hskp23)\/(hskp27)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> False).
% 1.25/1.46 do 0 intro. intros zenon_H12b zenon_H101 zenon_H142 zenon_H75 zenon_H1e7 zenon_H190 zenon_Hba zenon_H2f4 zenon_H1f3 zenon_H174 zenon_H216 zenon_H2f7 zenon_H2f9 zenon_H163 zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H2de zenon_H4b zenon_H189 zenon_H1bc zenon_H20d zenon_H177 zenon_H7 zenon_H1 zenon_Hef zenon_H27a zenon_H51 zenon_H203 zenon_H1a2 zenon_H3a zenon_H3e zenon_H1b7 zenon_H92 zenon_H261 zenon_H262 zenon_H263 zenon_H223 zenon_Hcb zenon_H7f zenon_H1fc zenon_H1fb zenon_H1fa zenon_H148 zenon_Hdd zenon_H9d zenon_H49 zenon_Ha2 zenon_H1f zenon_H21 zenon_H54 zenon_H74 zenon_H2da zenon_H254 zenon_H1b3 zenon_H18b zenon_Heb zenon_Hae zenon_Hb3 zenon_Hb9.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.25/1.46 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.25/1.46 apply (zenon_L932_); trivial.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.25/1.46 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.25/1.46 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.46 apply (zenon_L923_); trivial.
% 1.25/1.46 apply (zenon_L915_); trivial.
% 1.25/1.46 (* end of lemma zenon_L933_ *)
% 1.25/1.46 assert (zenon_L934_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((hskp23)\/(hskp27)) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> (ndr1_0) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (c3_1 (a2526)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (~(hskp6)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((hskp6)\/((hskp19)\/(hskp16))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.25/1.46 do 0 intro. intros zenon_Hb9 zenon_H18b zenon_H1b3 zenon_H189 zenon_H254 zenon_H2da zenon_Hba zenon_Hb3 zenon_Ha2 zenon_H27a zenon_H263 zenon_H262 zenon_H261 zenon_H1f3 zenon_Hdd zenon_H148 zenon_Hcb zenon_He8 zenon_Heb zenon_Hef zenon_Hc5 zenon_H49 zenon_H12 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H133 zenon_H132 zenon_H134 zenon_H20d zenon_H1 zenon_H203 zenon_H51 zenon_H177 zenon_H2d8 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H11b zenon_H11d zenon_H7 zenon_H2f4 zenon_H174 zenon_H216 zenon_H7f zenon_H2f7 zenon_H2f9 zenon_H163 zenon_H223 zenon_H92 zenon_Hae zenon_H74 zenon_H190.
% 1.25/1.46 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.25/1.46 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.46 apply (zenon_L469_); trivial.
% 1.25/1.46 apply (zenon_L899_); trivial.
% 1.25/1.46 apply (zenon_L908_); trivial.
% 1.25/1.46 (* end of lemma zenon_L934_ *)
% 1.25/1.46 assert (zenon_L935_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> (~(hskp6)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.25/1.46 do 0 intro. intros zenon_H190 zenon_Hba zenon_H74 zenon_H2f4 zenon_H1f3 zenon_H174 zenon_H216 zenon_H7f zenon_H2f7 zenon_H2f9 zenon_H163 zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H223 zenon_H92 zenon_H2de zenon_H4b zenon_H49 zenon_H189 zenon_H3e zenon_H1 zenon_H7 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H177 zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H144 zenon_H5 zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_Ha2 zenon_Hef.
% 1.25/1.46 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.25/1.46 apply (zenon_L474_); trivial.
% 1.25/1.46 apply (zenon_L922_); trivial.
% 1.25/1.46 (* end of lemma zenon_L935_ *)
% 1.25/1.46 assert (zenon_L936_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp14)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((hskp6)\/((hskp19)\/(hskp16))) -> (~(hskp6)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.33/1.46 do 0 intro. intros zenon_Hb9 zenon_Hb3 zenon_Hae zenon_Heb zenon_H18b zenon_H1b3 zenon_He8 zenon_H254 zenon_H2da zenon_Hef zenon_Ha2 zenon_H27a zenon_H263 zenon_H262 zenon_H261 zenon_H144 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_Hdd zenon_H177 zenon_H20d zenon_H1fc zenon_H1fb zenon_H1fa zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H7 zenon_H1 zenon_H3e zenon_H189 zenon_H49 zenon_H4b zenon_H2de zenon_H92 zenon_H223 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2d8 zenon_H163 zenon_H2f9 zenon_H2f7 zenon_H7f zenon_H216 zenon_H174 zenon_H1f3 zenon_H2f4 zenon_H74 zenon_Hba zenon_H190.
% 1.33/1.46 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.33/1.46 apply (zenon_L935_); trivial.
% 1.33/1.46 apply (zenon_L931_); trivial.
% 1.33/1.46 (* end of lemma zenon_L936_ *)
% 1.33/1.46 assert (zenon_L937_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((hskp6)\/((hskp19)\/(hskp16))) -> (~(hskp6)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.33/1.46 do 0 intro. intros zenon_Hfe zenon_Hb9 zenon_H18b zenon_H142 zenon_H75 zenon_H1e7 zenon_Hef zenon_Ha2 zenon_H27a zenon_H263 zenon_H262 zenon_H261 zenon_H144 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_Hdd zenon_H177 zenon_H20d zenon_H1fc zenon_H1fb zenon_H1fa zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H7 zenon_H1 zenon_H3e zenon_H189 zenon_H49 zenon_H4b zenon_H2de zenon_H92 zenon_H223 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2d8 zenon_H163 zenon_H2f9 zenon_H2f7 zenon_H7f zenon_H216 zenon_H174 zenon_H1f3 zenon_H2f4 zenon_H74 zenon_Hba zenon_H190.
% 1.33/1.46 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.33/1.46 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.33/1.46 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.33/1.46 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.33/1.46 apply (zenon_L935_); trivial.
% 1.33/1.46 apply (zenon_L207_); trivial.
% 1.33/1.46 (* end of lemma zenon_L937_ *)
% 1.33/1.46 assert (zenon_L938_ : ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(hskp3)) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> (c0_1 (a2558)) -> (c1_1 (a2558)) -> (c2_1 (a2558)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (c2_1 (a2517)) -> (forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42)))))) -> (~(c3_1 (a2517))) -> (ndr1_0) -> (~(hskp29)) -> False).
% 1.33/1.46 do 0 intro. intros zenon_H1bc zenon_H49 zenon_H24 zenon_H25 zenon_H26 zenon_H2e zenon_H2f zenon_H30 zenon_H4b zenon_H2c9 zenon_H2d0 zenon_H2c8 zenon_H12 zenon_H150.
% 1.33/1.46 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H118 | zenon_intro zenon_H1bd ].
% 1.33/1.46 apply (zenon_L918_); trivial.
% 1.33/1.46 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H11f | zenon_intro zenon_H151 ].
% 1.33/1.46 apply (zenon_L810_); trivial.
% 1.33/1.46 exact (zenon_H150 zenon_H151).
% 1.33/1.46 (* end of lemma zenon_L938_ *)
% 1.33/1.46 assert (zenon_L939_ : ((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a2517))) -> (~(hskp29)) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> False).
% 1.33/1.46 do 0 intro. intros zenon_H39 zenon_H2d8 zenon_H2c7 zenon_H150 zenon_H2c8 zenon_H2c9 zenon_H4b zenon_H49 zenon_H1bc zenon_H24 zenon_H25 zenon_H26.
% 1.33/1.46 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H12. zenon_intro zenon_H3b.
% 1.33/1.46 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H2e. zenon_intro zenon_H3c.
% 1.33/1.46 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H2f. zenon_intro zenon_H30.
% 1.33/1.46 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2d9 ].
% 1.33/1.46 apply (zenon_L809_); trivial.
% 1.33/1.46 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H23 ].
% 1.33/1.46 apply (zenon_L938_); trivial.
% 1.33/1.46 apply (zenon_L14_); trivial.
% 1.33/1.46 (* end of lemma zenon_L939_ *)
% 1.33/1.46 assert (zenon_L940_ : ((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (c3_1 (a2556)) -> (c2_1 (a2556)) -> (c1_1 (a2556)) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (~(hskp3)) -> False).
% 1.33/1.46 do 0 intro. intros zenon_H39 zenon_H4b zenon_H15c zenon_H15b zenon_H15a zenon_H225 zenon_H226 zenon_H227 zenon_H24 zenon_H25 zenon_H26 zenon_H230 zenon_H49.
% 1.33/1.46 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H12. zenon_intro zenon_H3b.
% 1.33/1.46 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H2e. zenon_intro zenon_H3c.
% 1.33/1.46 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H2f. zenon_intro zenon_H30.
% 1.33/1.46 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2d | zenon_intro zenon_H4c ].
% 1.33/1.46 apply (zenon_L15_); trivial.
% 1.33/1.46 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H3f | zenon_intro zenon_H4a ].
% 1.33/1.46 apply (zenon_L760_); trivial.
% 1.33/1.46 exact (zenon_H49 zenon_H4a).
% 1.33/1.46 (* end of lemma zenon_L940_ *)
% 1.33/1.46 assert (zenon_L941_ : ((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (~(c1_1 (a2553))) -> (~(c3_1 (a2553))) -> (c0_1 (a2553)) -> (~(hskp22)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> False).
% 1.33/1.46 do 0 intro. intros zenon_H173 zenon_H3e zenon_H4b zenon_H49 zenon_H24 zenon_H25 zenon_H26 zenon_H225 zenon_H226 zenon_H227 zenon_H230 zenon_Hdf zenon_He0 zenon_He1 zenon_H2dc zenon_H2de.
% 1.33/1.46 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.33/1.46 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.33/1.46 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.33/1.46 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H1d | zenon_intro zenon_H39 ].
% 1.33/1.46 apply (zenon_L849_); trivial.
% 1.33/1.46 apply (zenon_L940_); trivial.
% 1.33/1.46 (* end of lemma zenon_L941_ *)
% 1.33/1.46 assert (zenon_L942_ : ((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> (~(hskp22)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> False).
% 1.33/1.46 do 0 intro. intros zenon_Hea zenon_H177 zenon_H225 zenon_H226 zenon_H227 zenon_H230 zenon_H2de zenon_H2dc zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H24 zenon_H25 zenon_H26 zenon_H49 zenon_H4b zenon_H2d8 zenon_H3e.
% 1.33/1.46 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.33/1.46 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.33/1.46 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.33/1.46 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.33/1.46 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H1d | zenon_intro zenon_H39 ].
% 1.33/1.46 apply (zenon_L849_); trivial.
% 1.33/1.46 apply (zenon_L939_); trivial.
% 1.33/1.46 apply (zenon_L941_); trivial.
% 1.33/1.46 (* end of lemma zenon_L942_ *)
% 1.33/1.46 assert (zenon_L943_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (~(hskp16)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((hskp23)\/(hskp27)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> False).
% 1.33/1.46 do 0 intro. intros zenon_H74 zenon_H2f4 zenon_H3e zenon_H2d8 zenon_H4b zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H2de zenon_H230 zenon_H177 zenon_Hef zenon_H27a zenon_H241 zenon_H227 zenon_H226 zenon_H225 zenon_H5 zenon_H144 zenon_H92 zenon_H261 zenon_H262 zenon_H263 zenon_H223 zenon_Hcb zenon_H7f zenon_H1fc zenon_H1fb zenon_H1fa zenon_H146 zenon_H148 zenon_Hdd zenon_H9d zenon_H49 zenon_Ha2 zenon_H1e9 zenon_H54.
% 1.33/1.46 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.33/1.46 apply (zenon_L492_); trivial.
% 1.33/1.46 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.33/1.46 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.33/1.46 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.33/1.46 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2f1 ].
% 1.33/1.46 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.33/1.46 apply (zenon_L442_); trivial.
% 1.33/1.46 apply (zenon_L942_); trivial.
% 1.33/1.46 apply (zenon_L897_); trivial.
% 1.33/1.46 (* end of lemma zenon_L943_ *)
% 1.33/1.46 assert (zenon_L944_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp23)\/(hskp27)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp16)) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.33/1.46 do 0 intro. intros zenon_H190 zenon_H11b zenon_H11d zenon_H54 zenon_H1e9 zenon_Ha2 zenon_H49 zenon_H9d zenon_Hdd zenon_H148 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H7f zenon_Hcb zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H92 zenon_H144 zenon_H5 zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_H27a zenon_Hef zenon_H177 zenon_H230 zenon_H2de zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H4b zenon_H2d8 zenon_H3e zenon_H2f4 zenon_H74.
% 1.33/1.46 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.33/1.46 apply (zenon_L943_); trivial.
% 1.33/1.46 apply (zenon_L842_); trivial.
% 1.33/1.46 (* end of lemma zenon_L944_ *)
% 1.33/1.46 assert (zenon_L945_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp14)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> False).
% 1.33/1.46 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_Hef zenon_H189 zenon_H11d zenon_H11b zenon_H1bc zenon_H2d8 zenon_H163 zenon_Hd6 zenon_H157 zenon_H174 zenon_H177 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H148 zenon_He8 zenon_H254 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H2da.
% 1.33/1.46 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.33/1.46 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.33/1.46 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.33/1.46 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.33/1.46 apply (zenon_L821_); trivial.
% 1.33/1.46 apply (zenon_L816_); trivial.
% 1.33/1.46 (* end of lemma zenon_L945_ *)
% 1.33/1.46 assert (zenon_L946_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> (~(hskp14)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((hskp23)\/(hskp27)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.33/1.46 do 0 intro. intros zenon_Hb9 zenon_H189 zenon_H163 zenon_Hd6 zenon_H157 zenon_H174 zenon_He8 zenon_H254 zenon_H2da zenon_H74 zenon_H2f4 zenon_H3e zenon_H2d8 zenon_H4b zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H2de zenon_H230 zenon_H177 zenon_Hef zenon_H27a zenon_H241 zenon_H227 zenon_H226 zenon_H225 zenon_H144 zenon_H92 zenon_H261 zenon_H262 zenon_H263 zenon_H223 zenon_Hcb zenon_H7f zenon_H1fc zenon_H1fb zenon_H1fa zenon_H148 zenon_Hdd zenon_H9d zenon_H49 zenon_Ha2 zenon_H1e9 zenon_H54 zenon_H11d zenon_H11b zenon_H190.
% 1.33/1.46 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.33/1.46 apply (zenon_L944_); trivial.
% 1.33/1.46 apply (zenon_L945_); trivial.
% 1.33/1.46 (* end of lemma zenon_L946_ *)
% 1.33/1.46 assert (zenon_L947_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp23)\/(hskp27)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp16)) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.33/1.47 do 0 intro. intros zenon_H190 zenon_H120 zenon_H121 zenon_H122 zenon_H54 zenon_H1e9 zenon_Ha2 zenon_H49 zenon_H9d zenon_Hdd zenon_H148 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H7f zenon_Hcb zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H92 zenon_H144 zenon_H5 zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_H27a zenon_Hef zenon_H177 zenon_H230 zenon_H2de zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H4b zenon_H2d8 zenon_H3e zenon_H2f4 zenon_H74.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.33/1.47 apply (zenon_L943_); trivial.
% 1.33/1.47 apply (zenon_L343_); trivial.
% 1.33/1.47 (* end of lemma zenon_L947_ *)
% 1.33/1.47 assert (zenon_L948_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> False).
% 1.33/1.47 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_H177 zenon_H230 zenon_H2d8 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H11b zenon_H11d zenon_H241 zenon_H227 zenon_H226 zenon_H225 zenon_H27a zenon_H263 zenon_H262 zenon_H261 zenon_H9d zenon_H49 zenon_H148 zenon_H10d zenon_H103 zenon_H105 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H223 zenon_H1b3 zenon_H92 zenon_Ha2 zenon_H54.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.33/1.47 apply (zenon_L494_); trivial.
% 1.33/1.47 apply (zenon_L842_); trivial.
% 1.33/1.47 (* end of lemma zenon_L948_ *)
% 1.33/1.47 assert (zenon_L949_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (c3_1 (a2529)) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (c0_1 (a2529)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (ndr1_0) -> (~(hskp29)) -> False).
% 1.33/1.47 do 0 intro. intros zenon_H216 zenon_H10d zenon_H103 zenon_H105 zenon_H42 zenon_H23 zenon_H40 zenon_H1bc zenon_H26 zenon_H25 zenon_H24 zenon_H122 zenon_H121 zenon_H120 zenon_H12 zenon_H150.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H217 ].
% 1.33/1.47 apply (zenon_L316_); trivial.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H14a | zenon_intro zenon_H3f ].
% 1.33/1.47 apply (zenon_L853_); trivial.
% 1.33/1.47 apply (zenon_L696_); trivial.
% 1.33/1.47 (* end of lemma zenon_L949_ *)
% 1.33/1.47 assert (zenon_L950_ : ((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (c3_1 (a2529)) -> (c0_1 (a2529)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (~(hskp29)) -> False).
% 1.33/1.47 do 0 intro. intros zenon_H39 zenon_H2d8 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H4b zenon_H49 zenon_H216 zenon_H10d zenon_H103 zenon_H105 zenon_H42 zenon_H40 zenon_H1bc zenon_H26 zenon_H25 zenon_H24 zenon_H122 zenon_H121 zenon_H120 zenon_H150.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H12. zenon_intro zenon_H3b.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H2e. zenon_intro zenon_H3c.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H2f. zenon_intro zenon_H30.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2d9 ].
% 1.33/1.47 apply (zenon_L809_); trivial.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H23 ].
% 1.33/1.47 apply (zenon_L938_); trivial.
% 1.33/1.47 apply (zenon_L949_); trivial.
% 1.33/1.47 (* end of lemma zenon_L950_ *)
% 1.33/1.47 assert (zenon_L951_ : ((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> (~(hskp22)) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> False).
% 1.33/1.47 do 0 intro. intros zenon_Hea zenon_H51 zenon_H177 zenon_H225 zenon_H226 zenon_H227 zenon_H230 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H49 zenon_H4b zenon_H216 zenon_H10d zenon_H103 zenon_H105 zenon_H120 zenon_H121 zenon_H122 zenon_H2d8 zenon_H2de zenon_H2dc zenon_H24 zenon_H25 zenon_H26 zenon_H3a zenon_H3e.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ].
% 1.33/1.47 apply (zenon_L910_); trivial.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H12. zenon_intro zenon_H4e.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H40. zenon_intro zenon_H4f.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H41. zenon_intro zenon_H42.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H1d | zenon_intro zenon_H39 ].
% 1.33/1.47 apply (zenon_L849_); trivial.
% 1.33/1.47 apply (zenon_L950_); trivial.
% 1.33/1.47 apply (zenon_L941_); trivial.
% 1.33/1.47 (* end of lemma zenon_L951_ *)
% 1.33/1.47 assert (zenon_L952_ : ((ndr1_0)/\((c3_1 (a2528))/\((~(c0_1 (a2528)))/\(~(c1_1 (a2528)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp23)\/(hskp27)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> False).
% 1.33/1.47 do 0 intro. intros zenon_H1d1 zenon_H12e zenon_H3a zenon_H216 zenon_H51 zenon_H190 zenon_H11d zenon_H54 zenon_H1e9 zenon_Ha2 zenon_H49 zenon_H9d zenon_Hdd zenon_H148 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H7f zenon_Hcb zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H92 zenon_H144 zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_H27a zenon_Hef zenon_H177 zenon_H230 zenon_H2de zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H4b zenon_H2d8 zenon_H3e zenon_H2f4 zenon_H74 zenon_H1b3 zenon_Hb9.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.33/1.47 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.33/1.47 apply (zenon_L944_); trivial.
% 1.33/1.47 apply (zenon_L948_); trivial.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.33/1.47 apply (zenon_L492_); trivial.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2f1 ].
% 1.33/1.47 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.33/1.47 apply (zenon_L442_); trivial.
% 1.33/1.47 apply (zenon_L951_); trivial.
% 1.33/1.47 apply (zenon_L897_); trivial.
% 1.33/1.47 apply (zenon_L343_); trivial.
% 1.33/1.47 apply (zenon_L498_); trivial.
% 1.33/1.47 (* end of lemma zenon_L952_ *)
% 1.33/1.47 assert (zenon_L953_ : (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10)))))) -> (ndr1_0) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> False).
% 1.33/1.47 do 0 intro. intros zenon_H1e2 zenon_H12 zenon_H2fe zenon_H2ff zenon_H300.
% 1.33/1.47 generalize (zenon_H1e2 (a2522)). zenon_intro zenon_H301.
% 1.33/1.47 apply (zenon_imply_s _ _ zenon_H301); [ zenon_intro zenon_H11 | zenon_intro zenon_H302 ].
% 1.33/1.47 exact (zenon_H11 zenon_H12).
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H302); [ zenon_intro zenon_H304 | zenon_intro zenon_H303 ].
% 1.33/1.47 exact (zenon_H2fe zenon_H304).
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H306 | zenon_intro zenon_H305 ].
% 1.33/1.47 exact (zenon_H306 zenon_H2ff).
% 1.33/1.47 exact (zenon_H305 zenon_H300).
% 1.33/1.47 (* end of lemma zenon_L953_ *)
% 1.33/1.47 assert (zenon_L954_ : ((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> False).
% 1.33/1.47 do 0 intro. intros zenon_Had zenon_H1e5 zenon_H300 zenon_H2ff zenon_H2fe zenon_H1d7 zenon_H1d8 zenon_H1d9.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H1e6 ].
% 1.33/1.47 apply (zenon_L47_); trivial.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1d6 ].
% 1.33/1.47 apply (zenon_L953_); trivial.
% 1.33/1.47 apply (zenon_L176_); trivial.
% 1.33/1.47 (* end of lemma zenon_L954_ *)
% 1.33/1.47 assert (zenon_L955_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp23)\/(hskp27)) -> (ndr1_0) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.33/1.47 do 0 intro. intros zenon_Hb3 zenon_H1e5 zenon_H300 zenon_H2ff zenon_H2fe zenon_H92 zenon_Hdd zenon_H12f zenon_H114 zenon_Hcb zenon_H12 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e0 zenon_He8 zenon_Heb zenon_Hef.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.33/1.47 apply (zenon_L182_); trivial.
% 1.33/1.47 apply (zenon_L954_); trivial.
% 1.33/1.47 (* end of lemma zenon_L955_ *)
% 1.33/1.47 assert (zenon_L956_ : ((~(hskp8))\/((ndr1_0)/\((c0_1 (a2525))/\((c2_1 (a2525))/\(~(c3_1 (a2525))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((hskp23)\/(hskp27)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> (ndr1_0) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> False).
% 1.33/1.47 do 0 intro. intros zenon_H25a zenon_H101 zenon_H1ea zenon_H142 zenon_H75 zenon_H1e7 zenon_Hef zenon_Heb zenon_H1e0 zenon_Hcb zenon_H12f zenon_Hdd zenon_H92 zenon_H2fe zenon_H2ff zenon_H300 zenon_H1e5 zenon_Hb3 zenon_H12 zenon_H261 zenon_H262 zenon_H263 zenon_H114 zenon_H116.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H112 | zenon_intro zenon_H25c ].
% 1.33/1.47 apply (zenon_L419_); trivial.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25d.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1d8. zenon_intro zenon_H25e.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.33/1.47 apply (zenon_L955_); trivial.
% 1.33/1.47 apply (zenon_L423_); trivial.
% 1.33/1.47 (* end of lemma zenon_L956_ *)
% 1.33/1.47 assert (zenon_L957_ : ((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(hskp24)) -> (~(hskp25)) -> False).
% 1.33/1.47 do 0 intro. intros zenon_H170 zenon_H216 zenon_H300 zenon_H2ff zenon_H2fe zenon_H7f zenon_H7b zenon_H7d.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H167. zenon_intro zenon_H172.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H168. zenon_intro zenon_H169.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H217 ].
% 1.33/1.47 apply (zenon_L953_); trivial.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H14a | zenon_intro zenon_H3f ].
% 1.33/1.47 apply (zenon_L108_); trivial.
% 1.33/1.47 apply (zenon_L283_); trivial.
% 1.33/1.47 (* end of lemma zenon_L957_ *)
% 1.33/1.47 assert (zenon_L958_ : ((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(hskp24)) -> (~(hskp25)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> False).
% 1.33/1.47 do 0 intro. intros zenon_H173 zenon_H174 zenon_H216 zenon_H7b zenon_H7d zenon_H7f zenon_H300 zenon_H2ff zenon_H2fe zenon_Hc7 zenon_H163.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H164 | zenon_intro zenon_H170 ].
% 1.33/1.47 apply (zenon_L107_); trivial.
% 1.33/1.47 apply (zenon_L957_); trivial.
% 1.33/1.47 (* end of lemma zenon_L958_ *)
% 1.33/1.47 assert (zenon_L959_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(hskp24)) -> (~(hskp25)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a2541))) -> (~(c2_1 (a2541))) -> (c3_1 (a2541)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (ndr1_0) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> False).
% 1.33/1.47 do 0 intro. intros zenon_H177 zenon_H174 zenon_H216 zenon_H7b zenon_H7d zenon_H7f zenon_H300 zenon_H2ff zenon_H2fe zenon_Hc7 zenon_H163 zenon_H2d8 zenon_H180 zenon_H181 zenon_H182 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H12 zenon_H11b zenon_H11d.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.33/1.47 apply (zenon_L815_); trivial.
% 1.33/1.47 apply (zenon_L958_); trivial.
% 1.33/1.47 (* end of lemma zenon_L959_ *)
% 1.33/1.47 assert (zenon_L960_ : ((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c0_1 (a2564)) -> (~(c2_1 (a2564))) -> (~(c1_1 (a2564))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> False).
% 1.33/1.47 do 0 intro. intros zenon_H170 zenon_H216 zenon_H300 zenon_H2ff zenon_H2fe zenon_H223 zenon_H84 zenon_H83 zenon_H82 zenon_H263 zenon_H262 zenon_H261.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H167. zenon_intro zenon_H172.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H168. zenon_intro zenon_H169.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H217 ].
% 1.33/1.47 apply (zenon_L953_); trivial.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H14a | zenon_intro zenon_H3f ].
% 1.33/1.47 apply (zenon_L108_); trivial.
% 1.33/1.47 apply (zenon_L890_); trivial.
% 1.33/1.47 (* end of lemma zenon_L960_ *)
% 1.33/1.47 assert (zenon_L961_ : ((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(c1_1 (a2564))) -> (~(c2_1 (a2564))) -> (c0_1 (a2564)) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> False).
% 1.33/1.47 do 0 intro. intros zenon_H173 zenon_H174 zenon_H216 zenon_H82 zenon_H83 zenon_H84 zenon_H261 zenon_H262 zenon_H263 zenon_H223 zenon_H300 zenon_H2ff zenon_H2fe zenon_Hc7 zenon_H163.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H164 | zenon_intro zenon_H170 ].
% 1.33/1.47 apply (zenon_L107_); trivial.
% 1.33/1.47 apply (zenon_L960_); trivial.
% 1.33/1.47 (* end of lemma zenon_L961_ *)
% 1.33/1.47 assert (zenon_L962_ : ((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> False).
% 1.33/1.47 do 0 intro. intros zenon_H8d zenon_H177 zenon_H174 zenon_H216 zenon_H261 zenon_H262 zenon_H263 zenon_H223 zenon_H300 zenon_H2ff zenon_H2fe zenon_Hc7 zenon_H163 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H182 zenon_H181 zenon_H180 zenon_H24 zenon_H25 zenon_H26 zenon_H2d8.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H12. zenon_intro zenon_H8f.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H84. zenon_intro zenon_H90.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H82. zenon_intro zenon_H83.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.33/1.47 apply (zenon_L888_); trivial.
% 1.33/1.47 apply (zenon_L961_); trivial.
% 1.33/1.47 (* end of lemma zenon_L962_ *)
% 1.33/1.47 assert (zenon_L963_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> (c3_1 (a2597)) -> (c1_1 (a2597)) -> (c0_1 (a2597)) -> (ndr1_0) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> False).
% 1.33/1.47 do 0 intro. intros zenon_H216 zenon_H300 zenon_H2ff zenon_H2fe zenon_H169 zenon_H168 zenon_H167 zenon_H12 zenon_Ha3 zenon_H261 zenon_H262 zenon_H263.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H217 ].
% 1.33/1.47 apply (zenon_L953_); trivial.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H14a | zenon_intro zenon_H3f ].
% 1.33/1.47 apply (zenon_L108_); trivial.
% 1.33/1.47 apply (zenon_L616_); trivial.
% 1.33/1.47 (* end of lemma zenon_L963_ *)
% 1.33/1.47 assert (zenon_L964_ : ((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c2_1 (a2545)) -> (c1_1 (a2545)) -> (~(c0_1 (a2545))) -> (~(c1_1 (a2555))) -> (c0_1 (a2555)) -> (c2_1 (a2555)) -> False).
% 1.33/1.47 do 0 intro. intros zenon_H170 zenon_H1f3 zenon_H263 zenon_H262 zenon_H261 zenon_H2fe zenon_H2ff zenon_H300 zenon_H216 zenon_H58 zenon_H57 zenon_H56 zenon_H94 zenon_H95 zenon_H96.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H167. zenon_intro zenon_H172.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H168. zenon_intro zenon_H169.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H1f4 ].
% 1.33/1.47 apply (zenon_L963_); trivial.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H55 | zenon_intro zenon_H93 ].
% 1.33/1.47 apply (zenon_L25_); trivial.
% 1.33/1.47 apply (zenon_L43_); trivial.
% 1.33/1.47 (* end of lemma zenon_L964_ *)
% 1.33/1.47 assert (zenon_L965_ : ((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c2_1 (a2555)) -> (c0_1 (a2555)) -> (~(c1_1 (a2555))) -> (c2_1 (a2545)) -> (c1_1 (a2545)) -> (~(c0_1 (a2545))) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> False).
% 1.33/1.47 do 0 intro. intros zenon_H173 zenon_H174 zenon_H1f3 zenon_H96 zenon_H95 zenon_H94 zenon_H58 zenon_H57 zenon_H56 zenon_H2fe zenon_H2ff zenon_H300 zenon_H261 zenon_H262 zenon_H263 zenon_H216 zenon_Hc7 zenon_H163.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H164 | zenon_intro zenon_H170 ].
% 1.33/1.47 apply (zenon_L107_); trivial.
% 1.33/1.47 apply (zenon_L964_); trivial.
% 1.33/1.47 (* end of lemma zenon_L965_ *)
% 1.33/1.47 assert (zenon_L966_ : ((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c2_1 (a2545)) -> (c1_1 (a2545)) -> (~(c0_1 (a2545))) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> False).
% 1.33/1.47 do 0 intro. intros zenon_H9f zenon_H177 zenon_H174 zenon_H1f3 zenon_H58 zenon_H57 zenon_H56 zenon_H2fe zenon_H2ff zenon_H300 zenon_H261 zenon_H262 zenon_H263 zenon_H216 zenon_Hc7 zenon_H163 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H182 zenon_H181 zenon_H180 zenon_H24 zenon_H25 zenon_H26 zenon_H2d8.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.33/1.47 apply (zenon_L888_); trivial.
% 1.33/1.47 apply (zenon_L965_); trivial.
% 1.33/1.47 (* end of lemma zenon_L966_ *)
% 1.33/1.47 assert (zenon_L967_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c2_1 (a2545)) -> (c1_1 (a2545)) -> (~(c0_1 (a2545))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a2541))) -> (~(c2_1 (a2541))) -> (c3_1 (a2541)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (ndr1_0) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> False).
% 1.33/1.47 do 0 intro. intros zenon_Ha2 zenon_H1f3 zenon_H58 zenon_H57 zenon_H56 zenon_H177 zenon_H174 zenon_H216 zenon_H7f zenon_H300 zenon_H2ff zenon_H2fe zenon_Hc7 zenon_H163 zenon_H2d8 zenon_H180 zenon_H181 zenon_H182 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H12 zenon_H11b zenon_H11d zenon_H26 zenon_H25 zenon_H24 zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H92.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.33/1.47 apply (zenon_L959_); trivial.
% 1.33/1.47 apply (zenon_L962_); trivial.
% 1.33/1.47 apply (zenon_L966_); trivial.
% 1.33/1.47 (* end of lemma zenon_L967_ *)
% 1.33/1.47 assert (zenon_L968_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (c0_1 (a2529)) -> (c2_1 (a2529)) -> (c3_1 (a2529)) -> False).
% 1.33/1.47 do 0 intro. intros zenon_H216 zenon_H300 zenon_H2ff zenon_H2fe zenon_H23 zenon_H12 zenon_H40 zenon_H41 zenon_H42.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H217 ].
% 1.33/1.47 apply (zenon_L953_); trivial.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H14a | zenon_intro zenon_H3f ].
% 1.33/1.47 apply (zenon_L853_); trivial.
% 1.33/1.47 apply (zenon_L19_); trivial.
% 1.33/1.47 (* end of lemma zenon_L968_ *)
% 1.33/1.47 assert (zenon_L969_ : ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a2517))) -> (~(hskp29)) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> (~(c1_1 (a2541))) -> (~(c2_1 (a2541))) -> (c3_1 (a2541)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> (ndr1_0) -> (c0_1 (a2529)) -> (c2_1 (a2529)) -> (c3_1 (a2529)) -> False).
% 1.33/1.47 do 0 intro. intros zenon_H2d8 zenon_H2c7 zenon_H150 zenon_H2c8 zenon_H2c9 zenon_H180 zenon_H181 zenon_H182 zenon_H1bc zenon_H216 zenon_H300 zenon_H2ff zenon_H2fe zenon_H12 zenon_H40 zenon_H41 zenon_H42.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2d9 ].
% 1.33/1.47 apply (zenon_L809_); trivial.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H23 ].
% 1.33/1.47 apply (zenon_L814_); trivial.
% 1.33/1.47 apply (zenon_L968_); trivial.
% 1.33/1.47 (* end of lemma zenon_L969_ *)
% 1.33/1.47 assert (zenon_L970_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> (c3_1 (a2556)) -> (c2_1 (a2556)) -> (c1_1 (a2556)) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5)))))) -> (ndr1_0) -> (c0_1 (a2529)) -> (c2_1 (a2529)) -> (c3_1 (a2529)) -> False).
% 1.33/1.47 do 0 intro. intros zenon_H216 zenon_H300 zenon_H2ff zenon_H2fe zenon_H15c zenon_H15b zenon_H15a zenon_H55 zenon_H12 zenon_H40 zenon_H41 zenon_H42.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H217 ].
% 1.33/1.47 apply (zenon_L953_); trivial.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H14a | zenon_intro zenon_H3f ].
% 1.33/1.47 apply (zenon_L113_); trivial.
% 1.33/1.47 apply (zenon_L19_); trivial.
% 1.33/1.47 (* end of lemma zenon_L970_ *)
% 1.33/1.47 assert (zenon_L971_ : ((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c3_1 (a2529)) -> (c2_1 (a2529)) -> (c0_1 (a2529)) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> (~(c1_1 (a2553))) -> (~(c3_1 (a2553))) -> (c0_1 (a2553)) -> False).
% 1.33/1.47 do 0 intro. intros zenon_H173 zenon_H189 zenon_H42 zenon_H41 zenon_H40 zenon_H2fe zenon_H2ff zenon_H300 zenon_H216 zenon_H182 zenon_H181 zenon_H180 zenon_Hdf zenon_He0 zenon_He1.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H55 | zenon_intro zenon_H18a ].
% 1.33/1.47 apply (zenon_L970_); trivial.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H118 | zenon_intro zenon_Hde ].
% 1.33/1.47 apply (zenon_L115_); trivial.
% 1.33/1.47 apply (zenon_L63_); trivial.
% 1.33/1.47 (* end of lemma zenon_L971_ *)
% 1.33/1.47 assert (zenon_L972_ : ((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c0_1 (a2553)) -> (~(c3_1 (a2553))) -> (~(c1_1 (a2553))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> False).
% 1.33/1.47 do 0 intro. intros zenon_H4d zenon_H177 zenon_H189 zenon_He1 zenon_He0 zenon_Hdf zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H182 zenon_H181 zenon_H180 zenon_H216 zenon_H300 zenon_H2ff zenon_H2fe zenon_H2d8.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H12. zenon_intro zenon_H4e.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H40. zenon_intro zenon_H4f.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H41. zenon_intro zenon_H42.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.33/1.47 apply (zenon_L969_); trivial.
% 1.33/1.47 apply (zenon_L971_); trivial.
% 1.33/1.47 (* end of lemma zenon_L972_ *)
% 1.33/1.47 assert (zenon_L973_ : ((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> (~(hskp22)) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> False).
% 1.33/1.47 do 0 intro. intros zenon_Hea zenon_H51 zenon_H177 zenon_H189 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H182 zenon_H181 zenon_H180 zenon_H216 zenon_H300 zenon_H2ff zenon_H2fe zenon_H2d8 zenon_H2de zenon_H2dc zenon_H24 zenon_H25 zenon_H26 zenon_H3a zenon_H3e.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ].
% 1.33/1.47 apply (zenon_L910_); trivial.
% 1.33/1.47 apply (zenon_L972_); trivial.
% 1.33/1.47 (* end of lemma zenon_L973_ *)
% 1.33/1.47 assert (zenon_L974_ : ((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c2_1 (a2545)) -> (c1_1 (a2545)) -> (~(c0_1 (a2545))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a2541))) -> (~(c2_1 (a2541))) -> (c3_1 (a2541)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.33/1.47 do 0 intro. intros zenon_H71 zenon_H2f4 zenon_Ha2 zenon_H1f3 zenon_H58 zenon_H57 zenon_H56 zenon_H177 zenon_H174 zenon_H216 zenon_H7f zenon_H300 zenon_H2ff zenon_H2fe zenon_H163 zenon_H2d8 zenon_H180 zenon_H181 zenon_H182 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H11b zenon_H11d zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H92 zenon_H3e zenon_H3a zenon_H2de zenon_H189 zenon_H51 zenon_Hef.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2f1 ].
% 1.33/1.47 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.33/1.47 apply (zenon_L967_); trivial.
% 1.33/1.47 apply (zenon_L973_); trivial.
% 1.33/1.47 apply (zenon_L897_); trivial.
% 1.33/1.47 (* end of lemma zenon_L974_ *)
% 1.33/1.47 assert (zenon_L975_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((hskp6)\/((hskp19)\/(hskp16))) -> (~(hskp16)) -> (~(hskp6)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((hskp23)\/(hskp27)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.33/1.47 do 0 intro. intros zenon_H190 zenon_Hba zenon_H2f4 zenon_H1f3 zenon_H174 zenon_H216 zenon_H300 zenon_H2ff zenon_H2fe zenon_H163 zenon_H2de zenon_H189 zenon_H11d zenon_H11b zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H2d8 zenon_H20d zenon_H177 zenon_H7 zenon_H5 zenon_H1 zenon_Hef zenon_H27a zenon_H51 zenon_H203 zenon_H1a2 zenon_H3a zenon_H3e zenon_H1b7 zenon_H92 zenon_H261 zenon_H262 zenon_H263 zenon_H223 zenon_Hcb zenon_H7f zenon_H1fc zenon_H1fb zenon_H1fa zenon_H148 zenon_Hdd zenon_H9d zenon_H49 zenon_Ha2 zenon_H1f zenon_H21 zenon_H54 zenon_H74.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.33/1.47 apply (zenon_L453_); trivial.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.33/1.47 apply (zenon_L822_); trivial.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.33/1.47 apply (zenon_L4_); trivial.
% 1.33/1.47 apply (zenon_L974_); trivial.
% 1.33/1.47 (* end of lemma zenon_L975_ *)
% 1.33/1.47 assert (zenon_L976_ : ((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c2_1 (a2545)) -> (c1_1 (a2545)) -> (~(c0_1 (a2545))) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a2541))) -> (~(c2_1 (a2541))) -> (c3_1 (a2541)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> False).
% 1.33/1.47 do 0 intro. intros zenon_H9f zenon_H177 zenon_H174 zenon_H1f3 zenon_H58 zenon_H57 zenon_H56 zenon_H2fe zenon_H2ff zenon_H300 zenon_H261 zenon_H262 zenon_H263 zenon_H216 zenon_Hc7 zenon_H163 zenon_H2d8 zenon_H180 zenon_H181 zenon_H182 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H11b zenon_H11d.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.33/1.47 apply (zenon_L815_); trivial.
% 1.33/1.47 apply (zenon_L965_); trivial.
% 1.33/1.47 (* end of lemma zenon_L976_ *)
% 1.33/1.47 assert (zenon_L977_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> False).
% 1.33/1.47 do 0 intro. intros zenon_H18d zenon_Hba zenon_Hef zenon_H189 zenon_H18b zenon_H68 zenon_H67 zenon_H66 zenon_H163 zenon_H216 zenon_H263 zenon_H262 zenon_H261 zenon_H300 zenon_H2ff zenon_H2fe zenon_H1f3 zenon_H174 zenon_Ha2 zenon_H11d zenon_H11b zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H2d8 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H177.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.33/1.47 apply (zenon_L822_); trivial.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.33/1.47 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.33/1.47 apply (zenon_L120_); trivial.
% 1.33/1.47 apply (zenon_L976_); trivial.
% 1.33/1.47 apply (zenon_L409_); trivial.
% 1.33/1.47 (* end of lemma zenon_L977_ *)
% 1.33/1.47 assert (zenon_L978_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp14)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> False).
% 1.33/1.47 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_Hba zenon_Hef zenon_H189 zenon_H18b zenon_H163 zenon_H216 zenon_H263 zenon_H262 zenon_H261 zenon_H300 zenon_H2ff zenon_H2fe zenon_H1f3 zenon_H174 zenon_Ha2 zenon_H11d zenon_H11b zenon_H1bc zenon_H2d8 zenon_H20d zenon_H177 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H148 zenon_He8 zenon_H254 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H2da.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.33/1.47 apply (zenon_L821_); trivial.
% 1.33/1.47 apply (zenon_L977_); trivial.
% 1.33/1.47 (* end of lemma zenon_L978_ *)
% 1.33/1.47 assert (zenon_L979_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (~(hskp14)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp23)\/(hskp27)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> (~(hskp6)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.33/1.47 do 0 intro. intros zenon_Hb9 zenon_H18b zenon_He8 zenon_H254 zenon_H2da zenon_H74 zenon_H54 zenon_H21 zenon_H1f zenon_Ha2 zenon_H49 zenon_H9d zenon_Hdd zenon_H148 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H7f zenon_Hcb zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H92 zenon_H1b7 zenon_H3e zenon_H3a zenon_H1a2 zenon_H203 zenon_H51 zenon_H27a zenon_Hef zenon_H1 zenon_H7 zenon_H177 zenon_H20d zenon_H2d8 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H11b zenon_H11d zenon_H189 zenon_H2de zenon_H163 zenon_H2fe zenon_H2ff zenon_H300 zenon_H216 zenon_H174 zenon_H1f3 zenon_H2f4 zenon_Hba zenon_H190.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.33/1.47 apply (zenon_L975_); trivial.
% 1.33/1.47 apply (zenon_L978_); trivial.
% 1.33/1.47 (* end of lemma zenon_L979_ *)
% 1.33/1.47 assert (zenon_L980_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp23)\/(hskp27)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.33/1.47 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_Hba zenon_H189 zenon_H18b zenon_H163 zenon_H216 zenon_H300 zenon_H2ff zenon_H2fe zenon_H1f3 zenon_H174 zenon_H11d zenon_H11b zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H2d8 zenon_H20d zenon_H177 zenon_Ha2 zenon_H49 zenon_H9d zenon_Hdd zenon_H148 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H7f zenon_Hcb zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H92 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H142 zenon_H75 zenon_H1e7 zenon_Hef.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.33/1.47 apply (zenon_L914_); trivial.
% 1.33/1.47 apply (zenon_L977_); trivial.
% 1.33/1.47 (* end of lemma zenon_L980_ *)
% 1.33/1.47 assert (zenon_L981_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(hskp24)) -> (~(hskp25)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (ndr1_0) -> (~(c1_1 (a2541))) -> (~(c2_1 (a2541))) -> (c3_1 (a2541)) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> False).
% 1.33/1.47 do 0 intro. intros zenon_H177 zenon_H174 zenon_H216 zenon_H7b zenon_H7d zenon_H7f zenon_H300 zenon_H2ff zenon_H2fe zenon_Hc7 zenon_H163 zenon_H12 zenon_H180 zenon_H181 zenon_H182 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.33/1.47 apply (zenon_L148_); trivial.
% 1.33/1.47 apply (zenon_L958_); trivial.
% 1.33/1.47 (* end of lemma zenon_L981_ *)
% 1.33/1.47 assert (zenon_L982_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> (ndr1_0) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(hskp23)) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(hskp24)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> False).
% 1.33/1.47 do 0 intro. intros zenon_H92 zenon_H261 zenon_H262 zenon_H263 zenon_H223 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H24 zenon_H25 zenon_H26 zenon_H2d8 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H182 zenon_H181 zenon_H180 zenon_H12 zenon_H163 zenon_Hc7 zenon_H2fe zenon_H2ff zenon_H300 zenon_H7f zenon_H7b zenon_H216 zenon_H174 zenon_H177.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.33/1.47 apply (zenon_L981_); trivial.
% 1.33/1.47 apply (zenon_L962_); trivial.
% 1.33/1.47 (* end of lemma zenon_L982_ *)
% 1.33/1.47 assert (zenon_L983_ : ((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c2_1 (a2545)) -> (c1_1 (a2545)) -> (~(c0_1 (a2545))) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c1_1 (a2541))) -> (~(c2_1 (a2541))) -> (c3_1 (a2541)) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> False).
% 1.33/1.47 do 0 intro. intros zenon_H9f zenon_H177 zenon_H174 zenon_H1f3 zenon_H58 zenon_H57 zenon_H56 zenon_H2fe zenon_H2ff zenon_H300 zenon_H261 zenon_H262 zenon_H263 zenon_H216 zenon_Hc7 zenon_H163 zenon_H180 zenon_H181 zenon_H182 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.33/1.47 apply (zenon_L148_); trivial.
% 1.33/1.47 apply (zenon_L965_); trivial.
% 1.33/1.47 (* end of lemma zenon_L983_ *)
% 1.33/1.47 assert (zenon_L984_ : ((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> (~(c0_1 (a2545))) -> (c1_1 (a2545)) -> (c2_1 (a2545)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> False).
% 1.33/1.47 do 0 intro. intros zenon_H71 zenon_Hef zenon_H189 zenon_H92 zenon_H261 zenon_H262 zenon_H263 zenon_H223 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2d8 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H182 zenon_H181 zenon_H180 zenon_H163 zenon_H2fe zenon_H2ff zenon_H300 zenon_H7f zenon_H216 zenon_H174 zenon_H177 zenon_H56 zenon_H57 zenon_H58 zenon_H1f3 zenon_Ha2.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.33/1.47 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.33/1.47 apply (zenon_L982_); trivial.
% 1.33/1.47 apply (zenon_L983_); trivial.
% 1.33/1.47 apply (zenon_L409_); trivial.
% 1.33/1.47 (* end of lemma zenon_L984_ *)
% 1.33/1.47 assert (zenon_L985_ : ((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp6)) -> (~(hskp16)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> False).
% 1.33/1.47 do 0 intro. intros zenon_Hb2 zenon_H74 zenon_Hef zenon_H189 zenon_H92 zenon_H261 zenon_H262 zenon_H263 zenon_H223 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2d8 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H182 zenon_H181 zenon_H180 zenon_H163 zenon_H2fe zenon_H2ff zenon_H300 zenon_H7f zenon_H216 zenon_H174 zenon_H177 zenon_H1f3 zenon_Ha2 zenon_H1 zenon_H5 zenon_H7.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.33/1.47 apply (zenon_L4_); trivial.
% 1.33/1.47 apply (zenon_L984_); trivial.
% 1.33/1.47 (* end of lemma zenon_L985_ *)
% 1.33/1.47 assert (zenon_L986_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp6)) -> (~(hskp16)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> False).
% 1.33/1.47 do 0 intro. intros zenon_H18d zenon_Hba zenon_H74 zenon_Hef zenon_H189 zenon_H92 zenon_H261 zenon_H262 zenon_H263 zenon_H223 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2d8 zenon_H163 zenon_H2fe zenon_H2ff zenon_H300 zenon_H7f zenon_H216 zenon_H174 zenon_H1f3 zenon_Ha2 zenon_H1 zenon_H5 zenon_H7 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H177.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.33/1.47 apply (zenon_L224_); trivial.
% 1.33/1.47 apply (zenon_L985_); trivial.
% 1.33/1.47 (* end of lemma zenon_L986_ *)
% 1.33/1.47 assert (zenon_L987_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((hskp6)\/((hskp19)\/(hskp16))) -> (~(hskp16)) -> (~(hskp6)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((hskp23)\/(hskp27)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.33/1.47 do 0 intro. intros zenon_H190 zenon_Hba zenon_H189 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2d8 zenon_H163 zenon_H2fe zenon_H2ff zenon_H300 zenon_H216 zenon_H174 zenon_H1f3 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H20d zenon_H177 zenon_H7 zenon_H5 zenon_H1 zenon_Hef zenon_H27a zenon_H51 zenon_H203 zenon_H1a2 zenon_H3a zenon_H3e zenon_H1b7 zenon_H92 zenon_H261 zenon_H262 zenon_H263 zenon_H223 zenon_Hcb zenon_H7f zenon_H1fc zenon_H1fb zenon_H1fa zenon_H148 zenon_Hdd zenon_H9d zenon_H49 zenon_Ha2 zenon_H1f zenon_H21 zenon_H54 zenon_H74.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.33/1.47 apply (zenon_L453_); trivial.
% 1.33/1.47 apply (zenon_L986_); trivial.
% 1.33/1.47 (* end of lemma zenon_L987_ *)
% 1.33/1.47 assert (zenon_L988_ : ((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> False).
% 1.33/1.47 do 0 intro. intros zenon_Hb2 zenon_Hef zenon_H189 zenon_H18b zenon_H68 zenon_H67 zenon_H66 zenon_H182 zenon_H181 zenon_H180 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H163 zenon_H216 zenon_H263 zenon_H262 zenon_H261 zenon_H300 zenon_H2ff zenon_H2fe zenon_H1f3 zenon_H174 zenon_H177 zenon_Ha2.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.33/1.47 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.33/1.47 apply (zenon_L120_); trivial.
% 1.33/1.47 apply (zenon_L983_); trivial.
% 1.33/1.47 apply (zenon_L409_); trivial.
% 1.33/1.47 (* end of lemma zenon_L988_ *)
% 1.33/1.47 assert (zenon_L989_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> False).
% 1.33/1.47 do 0 intro. intros zenon_H18d zenon_Hba zenon_Hef zenon_H189 zenon_H18b zenon_H68 zenon_H67 zenon_H66 zenon_H163 zenon_H216 zenon_H263 zenon_H262 zenon_H261 zenon_H300 zenon_H2ff zenon_H2fe zenon_H1f3 zenon_H174 zenon_Ha2 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H177.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.33/1.47 apply (zenon_L224_); trivial.
% 1.33/1.47 apply (zenon_L988_); trivial.
% 1.33/1.47 (* end of lemma zenon_L989_ *)
% 1.33/1.47 assert (zenon_L990_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp14)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> False).
% 1.33/1.47 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_Hba zenon_Hef zenon_H189 zenon_H18b zenon_H163 zenon_H216 zenon_H263 zenon_H262 zenon_H261 zenon_H300 zenon_H2ff zenon_H2fe zenon_H1f3 zenon_H174 zenon_Ha2 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H20d zenon_H177 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H148 zenon_He8 zenon_H254 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H2da.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.33/1.47 apply (zenon_L821_); trivial.
% 1.33/1.47 apply (zenon_L989_); trivial.
% 1.33/1.47 (* end of lemma zenon_L990_ *)
% 1.33/1.47 assert (zenon_L991_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (~(hskp14)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp23)\/(hskp27)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> (~(hskp6)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.33/1.47 do 0 intro. intros zenon_Hb9 zenon_H18b zenon_He8 zenon_H254 zenon_H2da zenon_H74 zenon_H54 zenon_H21 zenon_H1f zenon_Ha2 zenon_H49 zenon_H9d zenon_Hdd zenon_H148 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H7f zenon_Hcb zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H92 zenon_H1b7 zenon_H3e zenon_H3a zenon_H1a2 zenon_H203 zenon_H51 zenon_H27a zenon_Hef zenon_H1 zenon_H7 zenon_H177 zenon_H20d zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H1f3 zenon_H174 zenon_H216 zenon_H300 zenon_H2ff zenon_H2fe zenon_H163 zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H189 zenon_Hba zenon_H190.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.33/1.47 apply (zenon_L987_); trivial.
% 1.33/1.47 apply (zenon_L990_); trivial.
% 1.33/1.47 (* end of lemma zenon_L991_ *)
% 1.33/1.47 assert (zenon_L992_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp23)\/(hskp27)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.33/1.47 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_Hba zenon_H189 zenon_H18b zenon_H163 zenon_H216 zenon_H300 zenon_H2ff zenon_H2fe zenon_H1f3 zenon_H174 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H20d zenon_H177 zenon_Ha2 zenon_H49 zenon_H9d zenon_Hdd zenon_H148 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H7f zenon_Hcb zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H92 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H142 zenon_H75 zenon_H1e7 zenon_Hef.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.33/1.47 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.33/1.47 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.33/1.47 apply (zenon_L914_); trivial.
% 1.33/1.47 apply (zenon_L989_); trivial.
% 1.33/1.47 (* end of lemma zenon_L992_ *)
% 1.33/1.47 assert (zenon_L993_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp23)\/(hskp27)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> (~(hskp6)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H12e zenon_Hb9 zenon_H18b zenon_H254 zenon_H2da zenon_H74 zenon_H54 zenon_H21 zenon_H1f zenon_Ha2 zenon_H49 zenon_H9d zenon_Hdd zenon_H148 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H7f zenon_Hcb zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H92 zenon_H1b7 zenon_H3e zenon_H3a zenon_H1a2 zenon_H203 zenon_H51 zenon_H27a zenon_Hef zenon_H1 zenon_H7 zenon_H177 zenon_H20d zenon_H2d8 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H11d zenon_H189 zenon_H2de zenon_H163 zenon_H2fe zenon_H2ff zenon_H300 zenon_H216 zenon_H174 zenon_H1f3 zenon_H2f4 zenon_Hba zenon_H190 zenon_H1e7 zenon_H75 zenon_H142 zenon_H101.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.33/1.48 apply (zenon_L979_); trivial.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.33/1.48 apply (zenon_L975_); trivial.
% 1.33/1.48 apply (zenon_L980_); trivial.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.33/1.48 apply (zenon_L991_); trivial.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.33/1.48 apply (zenon_L987_); trivial.
% 1.33/1.48 apply (zenon_L992_); trivial.
% 1.33/1.48 (* end of lemma zenon_L993_ *)
% 1.33/1.48 assert (zenon_L994_ : ((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (~(hskp16)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> (~(c0_1 (a2545))) -> (c1_1 (a2545)) -> (c2_1 (a2545)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H71 zenon_Hef zenon_H132 zenon_H133 zenon_H134 zenon_H27a zenon_H5 zenon_H144 zenon_H92 zenon_H261 zenon_H262 zenon_H263 zenon_H223 zenon_H11d zenon_H11b zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H182 zenon_H181 zenon_H180 zenon_H2d8 zenon_H163 zenon_H2fe zenon_H2ff zenon_H300 zenon_H7f zenon_H216 zenon_H174 zenon_H177 zenon_H56 zenon_H57 zenon_H58 zenon_H1f3 zenon_Ha2.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.33/1.48 apply (zenon_L967_); trivial.
% 1.33/1.48 apply (zenon_L473_); trivial.
% 1.33/1.48 (* end of lemma zenon_L994_ *)
% 1.33/1.48 assert (zenon_L995_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (~(hskp6)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H190 zenon_Hba zenon_H74 zenon_H92 zenon_H223 zenon_H163 zenon_H2fe zenon_H2ff zenon_H300 zenon_H7f zenon_H216 zenon_H174 zenon_H1f3 zenon_H1 zenon_H7 zenon_H11d zenon_H11b zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H2d8 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H177 zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H144 zenon_H5 zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_Ha2 zenon_Hef.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.33/1.48 apply (zenon_L474_); trivial.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.33/1.48 apply (zenon_L822_); trivial.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.33/1.48 apply (zenon_L4_); trivial.
% 1.33/1.48 apply (zenon_L994_); trivial.
% 1.33/1.48 (* end of lemma zenon_L995_ *)
% 1.33/1.48 assert (zenon_L996_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c3_1 (a2526)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> (~(hskp14)) -> ((hskp23)\/(hskp27)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.33/1.48 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_H189 zenon_H18b zenon_H163 zenon_H216 zenon_H300 zenon_H2ff zenon_H2fe zenon_H174 zenon_H11d zenon_H11b zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H2d8 zenon_H177 zenon_H51 zenon_H203 zenon_H1 zenon_H20d zenon_H134 zenon_H132 zenon_H133 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H49 zenon_Hc5 zenon_Hef zenon_Heb zenon_He8 zenon_Hcb zenon_H148 zenon_Hdd zenon_H1f3 zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_Ha2 zenon_Hb3 zenon_Hba.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.33/1.48 apply (zenon_L469_); trivial.
% 1.33/1.48 apply (zenon_L977_); trivial.
% 1.33/1.48 (* end of lemma zenon_L996_ *)
% 1.33/1.48 assert (zenon_L997_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((hskp6)\/((hskp19)\/(hskp16))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.33/1.48 do 0 intro. intros zenon_Hb9 zenon_H189 zenon_H18b zenon_H51 zenon_H203 zenon_H49 zenon_Hc5 zenon_Heb zenon_He8 zenon_Hb3 zenon_Hef zenon_Ha2 zenon_H27a zenon_H263 zenon_H262 zenon_H261 zenon_H144 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_Hdd zenon_H177 zenon_H20d zenon_H1fc zenon_H1fb zenon_H1fa zenon_H2d8 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H11b zenon_H11d zenon_H7 zenon_H1 zenon_H1f3 zenon_H174 zenon_H216 zenon_H7f zenon_H300 zenon_H2ff zenon_H2fe zenon_H163 zenon_H223 zenon_H92 zenon_H74 zenon_Hba zenon_H190.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.33/1.48 apply (zenon_L995_); trivial.
% 1.33/1.48 apply (zenon_L996_); trivial.
% 1.33/1.48 (* end of lemma zenon_L997_ *)
% 1.33/1.48 assert (zenon_L998_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (~(hskp6)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H190 zenon_Hba zenon_H74 zenon_H189 zenon_H92 zenon_H223 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2d8 zenon_H163 zenon_H2fe zenon_H2ff zenon_H300 zenon_H7f zenon_H216 zenon_H174 zenon_H1f3 zenon_H1 zenon_H7 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H177 zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H144 zenon_H5 zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_Ha2 zenon_Hef.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.33/1.48 apply (zenon_L474_); trivial.
% 1.33/1.48 apply (zenon_L986_); trivial.
% 1.33/1.48 (* end of lemma zenon_L998_ *)
% 1.33/1.48 assert (zenon_L999_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c3_1 (a2526)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> (~(hskp14)) -> ((hskp23)\/(hskp27)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.33/1.48 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_H189 zenon_H18b zenon_H163 zenon_H216 zenon_H300 zenon_H2ff zenon_H2fe zenon_H174 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H177 zenon_H51 zenon_H203 zenon_H1 zenon_H20d zenon_H134 zenon_H132 zenon_H133 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H49 zenon_Hc5 zenon_Hef zenon_Heb zenon_He8 zenon_Hcb zenon_H148 zenon_Hdd zenon_H1f3 zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_Ha2 zenon_Hb3 zenon_Hba.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.33/1.48 apply (zenon_L469_); trivial.
% 1.33/1.48 apply (zenon_L989_); trivial.
% 1.33/1.48 (* end of lemma zenon_L999_ *)
% 1.33/1.48 assert (zenon_L1000_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((hskp6)\/((hskp19)\/(hskp16))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.33/1.48 do 0 intro. intros zenon_Hb9 zenon_H18b zenon_H51 zenon_H203 zenon_H49 zenon_Hc5 zenon_Heb zenon_He8 zenon_Hb3 zenon_Hef zenon_Ha2 zenon_H27a zenon_H263 zenon_H262 zenon_H261 zenon_H144 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_Hdd zenon_H177 zenon_H20d zenon_H1fc zenon_H1fb zenon_H1fa zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H7 zenon_H1 zenon_H1f3 zenon_H174 zenon_H216 zenon_H7f zenon_H300 zenon_H2ff zenon_H2fe zenon_H163 zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H223 zenon_H92 zenon_H189 zenon_H74 zenon_Hba zenon_H190.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.33/1.48 apply (zenon_L998_); trivial.
% 1.33/1.48 apply (zenon_L999_); trivial.
% 1.33/1.48 (* end of lemma zenon_L1000_ *)
% 1.33/1.48 assert (zenon_L1001_ : ((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a2517))) -> (~(hskp29)) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> (c0_1 (a2529)) -> (c2_1 (a2529)) -> (c3_1 (a2529)) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H39 zenon_H2d8 zenon_H2c7 zenon_H150 zenon_H2c8 zenon_H2c9 zenon_H4b zenon_H26 zenon_H25 zenon_H24 zenon_H49 zenon_H1bc zenon_H216 zenon_H300 zenon_H2ff zenon_H2fe zenon_H40 zenon_H41 zenon_H42.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H12. zenon_intro zenon_H3b.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H2e. zenon_intro zenon_H3c.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H2f. zenon_intro zenon_H30.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2d9 ].
% 1.33/1.48 apply (zenon_L809_); trivial.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H23 ].
% 1.33/1.48 apply (zenon_L938_); trivial.
% 1.33/1.48 apply (zenon_L968_); trivial.
% 1.33/1.48 (* end of lemma zenon_L1001_ *)
% 1.33/1.48 assert (zenon_L1002_ : ((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp23)\/(hskp27)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H71 zenon_H2f4 zenon_Ha2 zenon_H49 zenon_H9d zenon_Hdd zenon_H148 zenon_H146 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H7f zenon_Hcb zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H92 zenon_H3e zenon_H3a zenon_H2de zenon_H2d8 zenon_H2fe zenon_H2ff zenon_H300 zenon_H216 zenon_H4b zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H230 zenon_H227 zenon_H226 zenon_H225 zenon_H177 zenon_H51 zenon_Hef.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2f1 ].
% 1.33/1.48 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.33/1.48 apply (zenon_L442_); trivial.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ].
% 1.33/1.48 apply (zenon_L910_); trivial.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H12. zenon_intro zenon_H4e.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H40. zenon_intro zenon_H4f.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H41. zenon_intro zenon_H42.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H1d | zenon_intro zenon_H39 ].
% 1.33/1.48 apply (zenon_L849_); trivial.
% 1.33/1.48 apply (zenon_L1001_); trivial.
% 1.33/1.48 apply (zenon_L941_); trivial.
% 1.33/1.48 apply (zenon_L897_); trivial.
% 1.33/1.48 (* end of lemma zenon_L1002_ *)
% 1.33/1.48 assert (zenon_L1003_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (~(hskp16)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((hskp23)\/(hskp27)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H74 zenon_H2f4 zenon_H3e zenon_H3a zenon_H2de zenon_H2d8 zenon_H2fe zenon_H2ff zenon_H300 zenon_H216 zenon_H4b zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H230 zenon_H177 zenon_H51 zenon_Hef zenon_H27a zenon_H241 zenon_H227 zenon_H226 zenon_H225 zenon_H5 zenon_H144 zenon_H92 zenon_H261 zenon_H262 zenon_H263 zenon_H223 zenon_Hcb zenon_H7f zenon_H1fc zenon_H1fb zenon_H1fa zenon_H146 zenon_H148 zenon_Hdd zenon_H9d zenon_H49 zenon_Ha2 zenon_H1e9 zenon_H54.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.33/1.48 apply (zenon_L492_); trivial.
% 1.33/1.48 apply (zenon_L1002_); trivial.
% 1.33/1.48 (* end of lemma zenon_L1003_ *)
% 1.33/1.48 assert (zenon_L1004_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp23)\/(hskp27)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp16)) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H190 zenon_H11b zenon_H11d zenon_H54 zenon_H1e9 zenon_Ha2 zenon_H49 zenon_H9d zenon_Hdd zenon_H148 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H7f zenon_Hcb zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H92 zenon_H144 zenon_H5 zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_H27a zenon_Hef zenon_H51 zenon_H177 zenon_H230 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H4b zenon_H216 zenon_H300 zenon_H2ff zenon_H2fe zenon_H2d8 zenon_H2de zenon_H3a zenon_H3e zenon_H2f4 zenon_H74.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.33/1.48 apply (zenon_L1003_); trivial.
% 1.33/1.48 apply (zenon_L842_); trivial.
% 1.33/1.48 (* end of lemma zenon_L1004_ *)
% 1.33/1.48 assert (zenon_L1005_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((hskp18)\/(hskp10))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> (ndr1_0) -> (~(hskp18)) -> (~(hskp10)) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H307 zenon_H300 zenon_H2ff zenon_H2fe zenon_H12 zenon_Hb zenon_Hd6.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H308 ].
% 1.33/1.48 apply (zenon_L953_); trivial.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_Hc | zenon_intro zenon_Hd7 ].
% 1.33/1.48 exact (zenon_Hb zenon_Hc).
% 1.33/1.48 exact (zenon_Hd6 zenon_Hd7).
% 1.33/1.48 (* end of lemma zenon_L1005_ *)
% 1.33/1.48 assert (zenon_L1006_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (ndr1_0) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((hskp18)\/(hskp10))) -> False).
% 1.33/1.48 do 0 intro. intros zenon_Hba zenon_H54 zenon_Ha2 zenon_H92 zenon_H177 zenon_H1f3 zenon_Hae zenon_H1fb zenon_H1fc zenon_H1fa zenon_H148 zenon_H146 zenon_H223 zenon_H1b3 zenon_H152 zenon_H157 zenon_H49 zenon_H9d zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_H66 zenon_H67 zenon_H68 zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_H12 zenon_H2fe zenon_H2ff zenon_H300 zenon_Hd6 zenon_H307.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.33/1.48 apply (zenon_L1005_); trivial.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.33/1.48 apply (zenon_L295_); trivial.
% 1.33/1.48 apply (zenon_L632_); trivial.
% 1.33/1.48 (* end of lemma zenon_L1006_ *)
% 1.33/1.48 assert (zenon_L1007_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((hskp18)\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c2_1 (a2524))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.33/1.48 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_Hef zenon_H189 zenon_H11d zenon_H11b zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H2d8 zenon_H163 zenon_H174 zenon_H307 zenon_Hd6 zenon_H300 zenon_H2ff zenon_H2fe zenon_H241 zenon_H227 zenon_H226 zenon_H225 zenon_H27a zenon_H263 zenon_H262 zenon_H261 zenon_H9d zenon_H49 zenon_H157 zenon_H152 zenon_H1b3 zenon_H223 zenon_H148 zenon_H1fa zenon_H1fc zenon_H1fb zenon_Hae zenon_H1f3 zenon_H177 zenon_H92 zenon_Ha2 zenon_H54 zenon_Hba.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.33/1.48 apply (zenon_L1006_); trivial.
% 1.33/1.48 apply (zenon_L816_); trivial.
% 1.33/1.48 (* end of lemma zenon_L1007_ *)
% 1.33/1.48 assert (zenon_L1008_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((hskp18)\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c2_1 (a2524))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.33/1.48 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_H230 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H307 zenon_Hd6 zenon_H300 zenon_H2ff zenon_H2fe zenon_H241 zenon_H227 zenon_H226 zenon_H225 zenon_H27a zenon_H263 zenon_H262 zenon_H261 zenon_H9d zenon_H49 zenon_H157 zenon_H152 zenon_H1b3 zenon_H223 zenon_H148 zenon_H1fa zenon_H1fc zenon_H1fb zenon_Hae zenon_H1f3 zenon_H177 zenon_H92 zenon_Ha2 zenon_H54 zenon_Hba.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.33/1.48 apply (zenon_L1006_); trivial.
% 1.33/1.48 apply (zenon_L343_); trivial.
% 1.33/1.48 (* end of lemma zenon_L1008_ *)
% 1.33/1.48 assert (zenon_L1009_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (c0_1 (a2529)) -> (c3_1 (a2529)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> (~(hskp29)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(hskp21)) -> (~(hskp26)) -> ((hskp30)\/((hskp21)\/(hskp26))) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H3e zenon_H2d8 zenon_H122 zenon_H121 zenon_H120 zenon_H105 zenon_H103 zenon_H10d zenon_H40 zenon_H42 zenon_H216 zenon_H4b zenon_H49 zenon_H26 zenon_H25 zenon_H24 zenon_H150 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H9 zenon_H1a0 zenon_H1a2.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H1d | zenon_intro zenon_H39 ].
% 1.33/1.48 apply (zenon_L139_); trivial.
% 1.33/1.48 apply (zenon_L950_); trivial.
% 1.33/1.48 (* end of lemma zenon_L1009_ *)
% 1.33/1.48 assert (zenon_L1010_ : ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(c2_1 (a2601))) -> (c3_1 (a2601)) -> (c0_1 (a2601)) -> (forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))) -> (c2_1 (a2517)) -> (forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42)))))) -> (~(c3_1 (a2517))) -> (ndr1_0) -> (~(hskp29)) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H1bc zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_H14a zenon_H2c9 zenon_H2d0 zenon_H2c8 zenon_H12 zenon_H150.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H118 | zenon_intro zenon_H1bd ].
% 1.33/1.48 apply (zenon_L142_); trivial.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H11f | zenon_intro zenon_H151 ].
% 1.33/1.48 apply (zenon_L810_); trivial.
% 1.33/1.48 exact (zenon_H150 zenon_H151).
% 1.33/1.48 (* end of lemma zenon_L1010_ *)
% 1.33/1.48 assert (zenon_L1011_ : ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))) -> (~(c1_1 (a2548))) -> (c2_1 (a2517)) -> (forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42)))))) -> (~(c3_1 (a2517))) -> (ndr1_0) -> (~(hskp29)) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H1bc zenon_H26 zenon_H25 zenon_H3f zenon_H24 zenon_H2c9 zenon_H2d0 zenon_H2c8 zenon_H12 zenon_H150.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H118 | zenon_intro zenon_H1bd ].
% 1.33/1.48 apply (zenon_L361_); trivial.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H11f | zenon_intro zenon_H151 ].
% 1.33/1.48 apply (zenon_L810_); trivial.
% 1.33/1.48 exact (zenon_H150 zenon_H151).
% 1.33/1.48 (* end of lemma zenon_L1011_ *)
% 1.33/1.48 assert (zenon_L1012_ : ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a2517))) -> (~(hskp29)) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(c2_1 (a2601))) -> (c3_1 (a2601)) -> (c0_1 (a2601)) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (ndr1_0) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H2d8 zenon_H2c7 zenon_H150 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_H2fe zenon_H2ff zenon_H300 zenon_H216 zenon_H12 zenon_H24 zenon_H25 zenon_H26.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2d9 ].
% 1.33/1.48 apply (zenon_L809_); trivial.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H23 ].
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H217 ].
% 1.33/1.48 apply (zenon_L953_); trivial.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H14a | zenon_intro zenon_H3f ].
% 1.33/1.48 apply (zenon_L1010_); trivial.
% 1.33/1.48 apply (zenon_L1011_); trivial.
% 1.33/1.48 apply (zenon_L14_); trivial.
% 1.33/1.48 (* end of lemma zenon_L1012_ *)
% 1.33/1.48 assert (zenon_L1013_ : ((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> (~(hskp24)) -> (~(hskp25)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H1b2 zenon_H177 zenon_H174 zenon_H7b zenon_H7d zenon_H7f zenon_Hc7 zenon_H163 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H216 zenon_H24 zenon_H25 zenon_H26 zenon_H1bc zenon_H300 zenon_H2ff zenon_H2fe zenon_H2d8.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H12. zenon_intro zenon_H1b4.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H1a4. zenon_intro zenon_H1b5.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H1a5. zenon_intro zenon_H1a6.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.33/1.48 apply (zenon_L1012_); trivial.
% 1.33/1.48 apply (zenon_L958_); trivial.
% 1.33/1.48 (* end of lemma zenon_L1013_ *)
% 1.33/1.48 assert (zenon_L1014_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> (~(hskp21)) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(hskp23)) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(hskp25)) -> (~(hskp24)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H1b7 zenon_H3e zenon_H3a zenon_H26 zenon_H25 zenon_H24 zenon_H9 zenon_H1a2 zenon_H2d8 zenon_H122 zenon_H121 zenon_H120 zenon_H105 zenon_H103 zenon_H10d zenon_H216 zenon_H4b zenon_H49 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H163 zenon_Hc7 zenon_H2fe zenon_H2ff zenon_H300 zenon_H7f zenon_H7d zenon_H7b zenon_H174 zenon_H177 zenon_H51.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1b2 ].
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ].
% 1.33/1.48 apply (zenon_L429_); trivial.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H12. zenon_intro zenon_H4e.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H40. zenon_intro zenon_H4f.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H41. zenon_intro zenon_H42.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.33/1.48 apply (zenon_L1009_); trivial.
% 1.33/1.48 apply (zenon_L958_); trivial.
% 1.33/1.48 apply (zenon_L1013_); trivial.
% 1.33/1.48 (* end of lemma zenon_L1014_ *)
% 1.33/1.48 assert (zenon_L1015_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> (~(c1_1 (a2564))) -> (~(c2_1 (a2564))) -> (c0_1 (a2564)) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(hskp26)) -> (~(hskp21)) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H51 zenon_H177 zenon_H174 zenon_H82 zenon_H83 zenon_H84 zenon_H261 zenon_H262 zenon_H263 zenon_H223 zenon_H300 zenon_H2ff zenon_H2fe zenon_Hc7 zenon_H163 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H49 zenon_H4b zenon_H216 zenon_H10d zenon_H103 zenon_H105 zenon_H120 zenon_H121 zenon_H122 zenon_H2d8 zenon_H1a2 zenon_H1a0 zenon_H9 zenon_H24 zenon_H25 zenon_H26 zenon_H3a zenon_H3e.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ].
% 1.33/1.48 apply (zenon_L429_); trivial.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H12. zenon_intro zenon_H4e.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H40. zenon_intro zenon_H4f.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H41. zenon_intro zenon_H42.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.33/1.48 apply (zenon_L1009_); trivial.
% 1.33/1.48 apply (zenon_L961_); trivial.
% 1.33/1.48 (* end of lemma zenon_L1015_ *)
% 1.33/1.48 assert (zenon_L1016_ : ((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> (~(hskp21)) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(hskp23)) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H8d zenon_H1b7 zenon_H225 zenon_H226 zenon_H227 zenon_H230 zenon_H3e zenon_H3a zenon_H26 zenon_H25 zenon_H24 zenon_H9 zenon_H1a2 zenon_H2d8 zenon_H122 zenon_H121 zenon_H120 zenon_H105 zenon_H103 zenon_H10d zenon_H216 zenon_H4b zenon_H49 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H163 zenon_Hc7 zenon_H2fe zenon_H2ff zenon_H300 zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H174 zenon_H177 zenon_H51.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H12. zenon_intro zenon_H8f.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H84. zenon_intro zenon_H90.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H82. zenon_intro zenon_H83.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1b2 ].
% 1.33/1.48 apply (zenon_L1015_); trivial.
% 1.33/1.48 apply (zenon_L762_); trivial.
% 1.33/1.48 (* end of lemma zenon_L1016_ *)
% 1.33/1.48 assert (zenon_L1017_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> (~(hskp24)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(hskp21)) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H92 zenon_H225 zenon_H226 zenon_H227 zenon_H230 zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H51 zenon_H177 zenon_H174 zenon_H7b zenon_H7f zenon_H300 zenon_H2ff zenon_H2fe zenon_Hc7 zenon_H163 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H49 zenon_H4b zenon_H216 zenon_H10d zenon_H103 zenon_H105 zenon_H120 zenon_H121 zenon_H122 zenon_H2d8 zenon_H1a2 zenon_H9 zenon_H24 zenon_H25 zenon_H26 zenon_H3a zenon_H3e zenon_H1b7.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.33/1.48 apply (zenon_L1014_); trivial.
% 1.33/1.48 apply (zenon_L1016_); trivial.
% 1.33/1.48 (* end of lemma zenon_L1017_ *)
% 1.33/1.48 assert (zenon_L1018_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> (~(hskp21)) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(hskp23)) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> False).
% 1.33/1.48 do 0 intro. intros zenon_Ha2 zenon_H9d zenon_H1b7 zenon_H3e zenon_H3a zenon_H26 zenon_H25 zenon_H24 zenon_H9 zenon_H1a2 zenon_H2d8 zenon_H122 zenon_H121 zenon_H120 zenon_H105 zenon_H103 zenon_H10d zenon_H216 zenon_H4b zenon_H49 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H163 zenon_Hc7 zenon_H2fe zenon_H2ff zenon_H300 zenon_H7f zenon_H174 zenon_H177 zenon_H51 zenon_H261 zenon_H262 zenon_H263 zenon_H223 zenon_H230 zenon_H227 zenon_H226 zenon_H225 zenon_H92.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.33/1.48 apply (zenon_L1017_); trivial.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.33/1.48 apply (zenon_L44_); trivial.
% 1.33/1.48 apply (zenon_L1016_); trivial.
% 1.33/1.48 (* end of lemma zenon_L1018_ *)
% 1.33/1.48 assert (zenon_L1019_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (c0_1 (a2529)) -> (c3_1 (a2529)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> (~(hskp29)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (ndr1_0) -> (~(c2_1 (a2551))) -> (c0_1 (a2551)) -> (c1_1 (a2551)) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H3e zenon_H2d8 zenon_H122 zenon_H121 zenon_H120 zenon_H105 zenon_H103 zenon_H10d zenon_H40 zenon_H42 zenon_H216 zenon_H4b zenon_H49 zenon_H26 zenon_H25 zenon_H24 zenon_H150 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H12 zenon_H14 zenon_H15 zenon_H16 zenon_H1f zenon_H21.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H1d | zenon_intro zenon_H39 ].
% 1.33/1.48 apply (zenon_L13_); trivial.
% 1.33/1.48 apply (zenon_L950_); trivial.
% 1.33/1.48 (* end of lemma zenon_L1019_ *)
% 1.33/1.48 assert (zenon_L1020_ : ((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> (c0_1 (a2529)) -> (c2_1 (a2529)) -> (c3_1 (a2529)) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H170 zenon_H216 zenon_H300 zenon_H2ff zenon_H2fe zenon_H40 zenon_H41 zenon_H42.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H167. zenon_intro zenon_H172.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H168. zenon_intro zenon_H169.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H217 ].
% 1.33/1.48 apply (zenon_L953_); trivial.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H14a | zenon_intro zenon_H3f ].
% 1.33/1.48 apply (zenon_L108_); trivial.
% 1.33/1.48 apply (zenon_L19_); trivial.
% 1.33/1.48 (* end of lemma zenon_L1020_ *)
% 1.33/1.48 assert (zenon_L1021_ : ((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2529)) -> (c2_1 (a2529)) -> (c0_1 (a2529)) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H173 zenon_H174 zenon_H216 zenon_H42 zenon_H41 zenon_H40 zenon_H300 zenon_H2ff zenon_H2fe zenon_Hc7 zenon_H163.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H164 | zenon_intro zenon_H170 ].
% 1.33/1.48 apply (zenon_L107_); trivial.
% 1.33/1.48 apply (zenon_L1020_); trivial.
% 1.33/1.48 (* end of lemma zenon_L1021_ *)
% 1.33/1.48 assert (zenon_L1022_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a2551)) -> (c0_1 (a2551)) -> (~(c2_1 (a2551))) -> (ndr1_0) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H51 zenon_H177 zenon_H174 zenon_H300 zenon_H2ff zenon_H2fe zenon_Hc7 zenon_H163 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H49 zenon_H4b zenon_H216 zenon_H10d zenon_H103 zenon_H105 zenon_H120 zenon_H121 zenon_H122 zenon_H2d8 zenon_H21 zenon_H1f zenon_H16 zenon_H15 zenon_H14 zenon_H12 zenon_H24 zenon_H25 zenon_H26 zenon_H3a zenon_H3e.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ].
% 1.33/1.48 apply (zenon_L18_); trivial.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H12. zenon_intro zenon_H4e.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H40. zenon_intro zenon_H4f.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H41. zenon_intro zenon_H42.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.33/1.48 apply (zenon_L1019_); trivial.
% 1.33/1.48 apply (zenon_L1021_); trivial.
% 1.33/1.48 (* end of lemma zenon_L1022_ *)
% 1.33/1.48 assert (zenon_L1023_ : ((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H71 zenon_H54 zenon_H21 zenon_H1f zenon_Hef zenon_H2de zenon_H92 zenon_H225 zenon_H226 zenon_H227 zenon_H230 zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H51 zenon_H177 zenon_H174 zenon_H7f zenon_H300 zenon_H2ff zenon_H2fe zenon_H163 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H49 zenon_H4b zenon_H216 zenon_H10d zenon_H103 zenon_H105 zenon_H120 zenon_H121 zenon_H122 zenon_H2d8 zenon_H1a2 zenon_H3a zenon_H3e zenon_H1b7 zenon_H9d zenon_Ha2 zenon_H2f4.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2f1 ].
% 1.33/1.48 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.33/1.48 apply (zenon_L1018_); trivial.
% 1.33/1.48 apply (zenon_L951_); trivial.
% 1.33/1.48 apply (zenon_L897_); trivial.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2f1 ].
% 1.33/1.48 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.33/1.48 apply (zenon_L1022_); trivial.
% 1.33/1.48 apply (zenon_L951_); trivial.
% 1.33/1.48 apply (zenon_L897_); trivial.
% 1.33/1.48 (* end of lemma zenon_L1023_ *)
% 1.33/1.48 assert (zenon_L1024_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp23)\/(hskp27)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp16)) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H190 zenon_H54 zenon_H1e9 zenon_Ha2 zenon_H49 zenon_H9d zenon_Hdd zenon_H148 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H7f zenon_Hcb zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H92 zenon_H144 zenon_H5 zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_H27a zenon_Hef zenon_H2f4 zenon_H1b7 zenon_H3e zenon_H3a zenon_H1a2 zenon_H2d8 zenon_H122 zenon_H121 zenon_H120 zenon_H105 zenon_H103 zenon_H10d zenon_H216 zenon_H4b zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H163 zenon_H2fe zenon_H2ff zenon_H300 zenon_H174 zenon_H177 zenon_H51 zenon_H230 zenon_H2de zenon_H1f zenon_H21 zenon_H74.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.33/1.48 apply (zenon_L492_); trivial.
% 1.33/1.48 apply (zenon_L1023_); trivial.
% 1.33/1.48 apply (zenon_L343_); trivial.
% 1.33/1.48 (* end of lemma zenon_L1024_ *)
% 1.33/1.48 assert (zenon_L1025_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H190 zenon_H177 zenon_H230 zenon_H227 zenon_H226 zenon_H225 zenon_H2d8 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H11b zenon_H11d zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H144 zenon_H5 zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_Ha2 zenon_Hef.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.33/1.48 apply (zenon_L474_); trivial.
% 1.33/1.48 apply (zenon_L842_); trivial.
% 1.33/1.48 (* end of lemma zenon_L1025_ *)
% 1.33/1.48 assert (zenon_L1026_ : ((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(c2_1 (a2524))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H12b zenon_Hb9 zenon_H241 zenon_H157 zenon_Hd6 zenon_H152 zenon_H1b3 zenon_H1fa zenon_H1fc zenon_H1fb zenon_H1f3 zenon_H54 zenon_Hef zenon_Ha2 zenon_H27a zenon_H263 zenon_H262 zenon_H261 zenon_H144 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_Hdd zenon_H1bc zenon_H225 zenon_H226 zenon_H227 zenon_H230 zenon_H177 zenon_H190.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.33/1.48 apply (zenon_L509_); trivial.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.33/1.48 apply (zenon_L504_); trivial.
% 1.33/1.48 apply (zenon_L343_); trivial.
% 1.33/1.48 (* end of lemma zenon_L1026_ *)
% 1.33/1.48 assert (zenon_L1027_ : ((ndr1_0)/\((c1_1 (a2526))/\((c3_1 (a2526))/\(~(c0_1 (a2526)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a2528))/\((~(c0_1 (a2528)))/\(~(c1_1 (a2528))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(c2_1 (a2524))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((hskp23)\/(hskp27)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531))))))) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H1f6 zenon_H1d4 zenon_H223 zenon_Hb9 zenon_H189 zenon_H163 zenon_H174 zenon_H241 zenon_H157 zenon_H152 zenon_H1b3 zenon_H1fa zenon_H1fc zenon_H1fb zenon_H1f3 zenon_H54 zenon_Hef zenon_Ha2 zenon_H27a zenon_H263 zenon_H262 zenon_H261 zenon_H144 zenon_Hcb zenon_H148 zenon_Hdd zenon_H11d zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H2d8 zenon_H225 zenon_H226 zenon_H227 zenon_H230 zenon_H177 zenon_H190 zenon_H12e.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.33/1.48 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.33/1.48 apply (zenon_L1025_); trivial.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.33/1.48 apply (zenon_L504_); trivial.
% 1.33/1.48 apply (zenon_L816_); trivial.
% 1.33/1.48 apply (zenon_L1026_); trivial.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.33/1.48 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.33/1.48 apply (zenon_L1025_); trivial.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.33/1.48 apply (zenon_L510_); trivial.
% 1.33/1.48 apply (zenon_L842_); trivial.
% 1.33/1.48 apply (zenon_L511_); trivial.
% 1.33/1.48 (* end of lemma zenon_L1027_ *)
% 1.33/1.48 assert (zenon_L1028_ : ((ndr1_0)/\((c1_1 (a2524))/\((c3_1 (a2524))/\(~(c2_1 (a2524)))))) -> ((~(hskp9))\/((ndr1_0)/\((c1_1 (a2526))/\((c3_1 (a2526))/\(~(c0_1 (a2526))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp23)\/(hskp27)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((hskp18)\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a2528))/\((~(c0_1 (a2528)))/\(~(c1_1 (a2528))))))) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H25b zenon_H1f5 zenon_H12e zenon_H190 zenon_H11d zenon_H54 zenon_H1e9 zenon_Ha2 zenon_H49 zenon_H9d zenon_Hdd zenon_H148 zenon_H7f zenon_Hcb zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H92 zenon_H144 zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_H27a zenon_Hef zenon_H51 zenon_H177 zenon_H230 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H4b zenon_H216 zenon_H300 zenon_H2ff zenon_H2fe zenon_H2d8 zenon_H2de zenon_H3a zenon_H3e zenon_H2f4 zenon_H74 zenon_Hba zenon_H1f3 zenon_Hae zenon_H1b3 zenon_H152 zenon_H157 zenon_H307 zenon_H174 zenon_H163 zenon_H189 zenon_Hb9 zenon_H1b7 zenon_H1a2 zenon_H21 zenon_H1d4.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H12. zenon_intro zenon_H25f.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H1fb. zenon_intro zenon_H260.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H1fc. zenon_intro zenon_H1fa.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.33/1.48 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.33/1.48 apply (zenon_L1004_); trivial.
% 1.33/1.48 apply (zenon_L1007_); trivial.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.33/1.48 apply (zenon_L1003_); trivial.
% 1.33/1.48 apply (zenon_L343_); trivial.
% 1.33/1.48 apply (zenon_L1008_); trivial.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.33/1.48 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.33/1.48 apply (zenon_L1004_); trivial.
% 1.33/1.48 apply (zenon_L948_); trivial.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.33/1.48 apply (zenon_L1024_); trivial.
% 1.33/1.48 apply (zenon_L498_); trivial.
% 1.33/1.48 apply (zenon_L1027_); trivial.
% 1.33/1.48 (* end of lemma zenon_L1028_ *)
% 1.33/1.48 assert (zenon_L1029_ : ((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(hskp8)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a2541))) -> (~(c2_1 (a2541))) -> (c3_1 (a2541)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H9f zenon_H177 zenon_H174 zenon_H1b3 zenon_H10d zenon_H103 zenon_H105 zenon_H112 zenon_H114 zenon_H116 zenon_Hc7 zenon_H163 zenon_H2d8 zenon_H180 zenon_H181 zenon_H182 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H11b zenon_H11d.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.33/1.49 apply (zenon_L815_); trivial.
% 1.33/1.49 apply (zenon_L164_); trivial.
% 1.33/1.49 (* end of lemma zenon_L1029_ *)
% 1.33/1.49 assert (zenon_L1030_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(c1_1 (a2553))) -> (c0_1 (a2553)) -> (~(c3_1 (a2553))) -> (~(hskp24)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(hskp8)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a2541))) -> (~(c2_1 (a2541))) -> (c3_1 (a2541)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (ndr1_0) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H177 zenon_H1b3 zenon_H189 zenon_Hdf zenon_He1 zenon_He0 zenon_H7b zenon_H18b zenon_H10d zenon_H103 zenon_H105 zenon_H112 zenon_H114 zenon_H116 zenon_H2d8 zenon_H180 zenon_H181 zenon_H182 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H12 zenon_H11b zenon_H11d.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.33/1.49 apply (zenon_L815_); trivial.
% 1.33/1.49 apply (zenon_L169_); trivial.
% 1.33/1.49 (* end of lemma zenon_L1030_ *)
% 1.33/1.49 assert (zenon_L1031_ : ((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> (~(hskp7)) -> (~(hskp8)) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_Hea zenon_Ha2 zenon_H11d zenon_H11b zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H182 zenon_H181 zenon_H180 zenon_H2d8 zenon_H116 zenon_H114 zenon_H112 zenon_H105 zenon_H103 zenon_H10d zenon_H18b zenon_H189 zenon_H1b3 zenon_H177.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.33/1.49 apply (zenon_L1030_); trivial.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.33/1.49 apply (zenon_L815_); trivial.
% 1.33/1.49 apply (zenon_L171_); trivial.
% 1.33/1.49 (* end of lemma zenon_L1031_ *)
% 1.33/1.49 assert (zenon_L1032_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> (~(hskp7)) -> (~(hskp8)) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H18d zenon_Hef zenon_H189 zenon_H18b zenon_H68 zenon_H67 zenon_H66 zenon_H11d zenon_H11b zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H2d8 zenon_H163 zenon_H116 zenon_H114 zenon_H112 zenon_H105 zenon_H103 zenon_H10d zenon_H1b3 zenon_H174 zenon_H177 zenon_Ha2.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.33/1.49 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.33/1.49 apply (zenon_L120_); trivial.
% 1.33/1.49 apply (zenon_L1029_); trivial.
% 1.33/1.49 apply (zenon_L1031_); trivial.
% 1.33/1.49 (* end of lemma zenon_L1032_ *)
% 1.33/1.49 assert (zenon_L1033_ : ((~(hskp9))\/((ndr1_0)/\((c1_1 (a2526))/\((c3_1 (a2526))/\(~(c0_1 (a2526))))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a2528))/\((~(c0_1 (a2528)))/\(~(c1_1 (a2528))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(hskp6)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp8)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H1f5 zenon_H1d4 zenon_Ha2 zenon_H1b3 zenon_H114 zenon_H116 zenon_H18b zenon_H190 zenon_Hef zenon_H189 zenon_H11d zenon_H1bc zenon_H163 zenon_H157 zenon_H174 zenon_H177 zenon_H148 zenon_H12e zenon_H74 zenon_H2d8 zenon_H5f zenon_H129 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H1 zenon_H7 zenon_H280 zenon_H281 zenon_H282 zenon_H289 zenon_H112 zenon_H2ba zenon_Hb9.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.33/1.49 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.33/1.49 apply (zenon_L812_); trivial.
% 1.33/1.49 apply (zenon_L669_); trivial.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.33/1.49 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.33/1.49 apply (zenon_L812_); trivial.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.33/1.49 apply (zenon_L680_); trivial.
% 1.33/1.49 apply (zenon_L816_); trivial.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.33/1.49 apply (zenon_L812_); trivial.
% 1.33/1.49 apply (zenon_L683_); trivial.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.33/1.49 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.33/1.49 apply (zenon_L812_); trivial.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.33/1.49 apply (zenon_L680_); trivial.
% 1.33/1.49 apply (zenon_L1032_); trivial.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.33/1.49 apply (zenon_L812_); trivial.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.33/1.49 apply (zenon_L680_); trivial.
% 1.33/1.49 apply (zenon_L173_); trivial.
% 1.33/1.49 (* end of lemma zenon_L1033_ *)
% 1.33/1.49 assert (zenon_L1034_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_Hef zenon_H1e7 zenon_H75 zenon_H142 zenon_H280 zenon_H281 zenon_H282 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H146 zenon_H148 zenon_Hdd.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.33/1.49 apply (zenon_L100_); trivial.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H1e8 ].
% 1.33/1.49 apply (zenon_L674_); trivial.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H93 | zenon_intro zenon_H76 ].
% 1.33/1.49 apply (zenon_L95_); trivial.
% 1.33/1.49 exact (zenon_H75 zenon_H76).
% 1.33/1.49 (* end of lemma zenon_L1034_ *)
% 1.33/1.49 assert (zenon_L1035_ : ((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(c1_1 (a2541))) -> (~(c2_1 (a2541))) -> (c3_1 (a2541)) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_Had zenon_Ha2 zenon_H177 zenon_H1f3 zenon_H1b3 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1ea zenon_H2d8 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H11b zenon_H11d zenon_H180 zenon_H181 zenon_H182 zenon_H66 zenon_H67 zenon_H68 zenon_H18b.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.33/1.49 apply (zenon_L120_); trivial.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.33/1.49 apply (zenon_L815_); trivial.
% 1.33/1.49 apply (zenon_L209_); trivial.
% 1.33/1.49 (* end of lemma zenon_L1035_ *)
% 1.33/1.49 assert (zenon_L1036_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((hskp6)\/((hskp19)\/(hskp16))) -> (~(hskp6)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_Hb9 zenon_H190 zenon_Hb3 zenon_Ha2 zenon_H177 zenon_H1f3 zenon_H1b3 zenon_H1ea zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H18b zenon_H92 zenon_H12f zenon_H114 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e0 zenon_He8 zenon_Heb zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H282 zenon_H281 zenon_H280 zenon_H142 zenon_H75 zenon_H1e7 zenon_Hef zenon_H7 zenon_H1 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H129 zenon_H5f zenon_H2d8 zenon_H74.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.33/1.49 apply (zenon_L812_); trivial.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.33/1.49 apply (zenon_L1034_); trivial.
% 1.33/1.49 apply (zenon_L211_); trivial.
% 1.33/1.49 (* end of lemma zenon_L1036_ *)
% 1.33/1.49 assert (zenon_L1037_ : ((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((hskp23)\/(hskp27)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> (~(hskp6)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H71 zenon_H2f4 zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_Hdd zenon_H289 zenon_H1f zenon_H282 zenon_H281 zenon_H280 zenon_Hcb zenon_H3e zenon_H3a zenon_H2de zenon_H1fa zenon_H1fb zenon_H1fc zenon_H1 zenon_H203 zenon_H51 zenon_Hef.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2f1 ].
% 1.33/1.49 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.33/1.49 apply (zenon_L515_); trivial.
% 1.33/1.49 apply (zenon_L911_); trivial.
% 1.33/1.49 apply (zenon_L897_); trivial.
% 1.33/1.49 (* end of lemma zenon_L1037_ *)
% 1.33/1.49 assert (zenon_L1038_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((hskp23)\/(hskp27)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> (~(hskp6)) -> (~(hskp16)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H74 zenon_H2f4 zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_Hdd zenon_H289 zenon_H1f zenon_H282 zenon_H281 zenon_H280 zenon_Hcb zenon_H3e zenon_H3a zenon_H2de zenon_H1fa zenon_H1fb zenon_H1fc zenon_H203 zenon_H51 zenon_Hef zenon_H1 zenon_H5 zenon_H7.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.33/1.49 apply (zenon_L4_); trivial.
% 1.33/1.49 apply (zenon_L1037_); trivial.
% 1.33/1.49 (* end of lemma zenon_L1038_ *)
% 1.33/1.49 assert (zenon_L1039_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> (~(hskp8)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> (~(hskp6)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp9)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_Hb9 zenon_H2ba zenon_H112 zenon_H7 zenon_H1 zenon_Hef zenon_H51 zenon_H203 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H2de zenon_H3a zenon_H3e zenon_Hcb zenon_H280 zenon_H281 zenon_H282 zenon_H1f zenon_H289 zenon_Hdd zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2d8 zenon_H2f4 zenon_H74.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.33/1.49 apply (zenon_L1038_); trivial.
% 1.33/1.49 apply (zenon_L669_); trivial.
% 1.33/1.49 (* end of lemma zenon_L1039_ *)
% 1.33/1.49 assert (zenon_L1040_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> (~(hskp15)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H190 zenon_Hba zenon_H63 zenon_H61 zenon_H11d zenon_H11b zenon_H1bc zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H177 zenon_Hef zenon_H144 zenon_H5 zenon_H1e9 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_Hdd zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H129 zenon_H5f zenon_H2d8 zenon_H74.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.33/1.49 apply (zenon_L876_); trivial.
% 1.33/1.49 apply (zenon_L823_); trivial.
% 1.33/1.49 (* end of lemma zenon_L1040_ *)
% 1.33/1.49 assert (zenon_L1041_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp8)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp15)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_Hb9 zenon_H280 zenon_H281 zenon_H282 zenon_H112 zenon_H2ba zenon_H74 zenon_H2d8 zenon_H5f zenon_H129 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H1e9 zenon_H144 zenon_Hef zenon_H177 zenon_H20d zenon_H1fc zenon_H1fb zenon_H1fa zenon_H1bc zenon_H11b zenon_H11d zenon_H61 zenon_H63 zenon_Hba zenon_H190.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.33/1.49 apply (zenon_L1040_); trivial.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.33/1.49 apply (zenon_L680_); trivial.
% 1.33/1.49 apply (zenon_L823_); trivial.
% 1.33/1.49 (* end of lemma zenon_L1041_ *)
% 1.33/1.49 assert (zenon_L1042_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> (~(hskp15)) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (~(hskp8)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_Hba zenon_H63 zenon_H61 zenon_H5f zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H177 zenon_H280 zenon_H281 zenon_H282 zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_H112 zenon_H2ba.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.33/1.49 apply (zenon_L680_); trivial.
% 1.33/1.49 apply (zenon_L395_); trivial.
% 1.33/1.49 (* end of lemma zenon_L1042_ *)
% 1.33/1.49 assert (zenon_L1043_ : ((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (~(hskp8)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> ((hskp6)\/((hskp19)\/(hskp16))) -> (~(hskp6)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H19a zenon_Hb9 zenon_H190 zenon_Hef zenon_H189 zenon_H18b zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H163 zenon_H1b3 zenon_H174 zenon_H177 zenon_Ha2 zenon_H280 zenon_H281 zenon_H282 zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_H112 zenon_H2ba zenon_H7 zenon_H1 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H129 zenon_H5f zenon_H2d8 zenon_H74.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.33/1.49 apply (zenon_L812_); trivial.
% 1.33/1.49 apply (zenon_L691_); trivial.
% 1.33/1.49 (* end of lemma zenon_L1043_ *)
% 1.33/1.49 assert (zenon_L1044_ : ((~(hskp9))\/((ndr1_0)/\((c1_1 (a2526))/\((c3_1 (a2526))/\(~(c0_1 (a2526))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((hskp23)\/(hskp27)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> (~(hskp6)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> (~(hskp8)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H1f5 zenon_H12e zenon_H189 zenon_H18b zenon_H163 zenon_H1b3 zenon_H174 zenon_Ha2 zenon_H5f zenon_H129 zenon_H148 zenon_H1e9 zenon_H144 zenon_H177 zenon_H20d zenon_H1bc zenon_H11d zenon_H63 zenon_Hba zenon_H190 zenon_H1b9 zenon_H74 zenon_H2f4 zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_Hdd zenon_H289 zenon_H282 zenon_H281 zenon_H280 zenon_Hcb zenon_H3e zenon_H3a zenon_H2de zenon_H1fa zenon_H1fb zenon_H1fc zenon_H203 zenon_H51 zenon_Hef zenon_H1 zenon_H7 zenon_H112 zenon_H2ba zenon_Hb9.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.33/1.49 apply (zenon_L1039_); trivial.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.33/1.49 apply (zenon_L1041_); trivial.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.33/1.49 apply (zenon_L812_); trivial.
% 1.33/1.49 apply (zenon_L681_); trivial.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.33/1.49 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.33/1.49 apply (zenon_L812_); trivial.
% 1.33/1.49 apply (zenon_L1042_); trivial.
% 1.33/1.49 apply (zenon_L1043_); trivial.
% 1.33/1.49 (* end of lemma zenon_L1044_ *)
% 1.33/1.49 assert (zenon_L1045_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp14)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> ((hskp6)\/((hskp19)\/(hskp16))) -> (~(hskp6)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp9)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_Hb9 zenon_H190 zenon_H189 zenon_H11d zenon_H11b zenon_H1bc zenon_H163 zenon_Hd6 zenon_H157 zenon_H174 zenon_H177 zenon_H148 zenon_He8 zenon_H254 zenon_H2da zenon_H7 zenon_H1 zenon_Hef zenon_H51 zenon_H203 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H2de zenon_H3a zenon_H3e zenon_Hcb zenon_H280 zenon_H281 zenon_H282 zenon_H1f zenon_H289 zenon_Hdd zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2d8 zenon_H2f4 zenon_H74.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.33/1.49 apply (zenon_L1038_); trivial.
% 1.33/1.49 apply (zenon_L945_); trivial.
% 1.33/1.49 (* end of lemma zenon_L1045_ *)
% 1.33/1.49 assert (zenon_L1046_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp9)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_Hfe zenon_Hef zenon_H1e7 zenon_H75 zenon_H142 zenon_Hcb zenon_H280 zenon_H281 zenon_H282 zenon_H1f zenon_H289 zenon_Hdd.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.33/1.49 apply (zenon_L515_); trivial.
% 1.33/1.49 apply (zenon_L188_); trivial.
% 1.33/1.49 (* end of lemma zenon_L1046_ *)
% 1.33/1.49 assert (zenon_L1047_ : ((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp9)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> ((hskp6)\/((hskp19)\/(hskp16))) -> (~(hskp6)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539))))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H12b zenon_H101 zenon_H1e7 zenon_H75 zenon_H142 zenon_Hcb zenon_H280 zenon_H281 zenon_H282 zenon_H1f zenon_H289 zenon_Hdd zenon_Hb9 zenon_H190 zenon_Hba zenon_H63 zenon_H1bc zenon_H20d zenon_H177 zenon_H148 zenon_H254 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H2da zenon_H7 zenon_H1 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H129 zenon_H5f zenon_H2d8 zenon_H74 zenon_Ha2 zenon_H174 zenon_H1b3 zenon_H163 zenon_H18b zenon_H189 zenon_Hef zenon_H1b9.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.33/1.49 apply (zenon_L827_); trivial.
% 1.33/1.49 apply (zenon_L1046_); trivial.
% 1.33/1.49 (* end of lemma zenon_L1047_ *)
% 1.33/1.49 assert (zenon_L1048_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (ndr1_0) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a2528))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H74 zenon_H2d8 zenon_H5f zenon_H129 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H289 zenon_H1f zenon_H1c7 zenon_H282 zenon_H281 zenon_H280 zenon_H12 zenon_H11d zenon_H11b zenon_H10d zenon_H105 zenon_H103 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e5 zenon_Hb3.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.33/1.49 apply (zenon_L692_); trivial.
% 1.33/1.49 apply (zenon_L811_); trivial.
% 1.33/1.49 (* end of lemma zenon_L1048_ *)
% 1.33/1.49 assert (zenon_L1049_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((hskp6)\/((hskp19)\/(hskp16))) -> (~(hskp6)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_Hfe zenon_Hb9 zenon_H190 zenon_H189 zenon_H11d zenon_H11b zenon_H1bc zenon_H163 zenon_Hd6 zenon_H157 zenon_H174 zenon_H177 zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H142 zenon_H75 zenon_H1e7 zenon_Hef zenon_H7 zenon_H1 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H129 zenon_H5f zenon_H2d8 zenon_H74.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.33/1.49 apply (zenon_L812_); trivial.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.33/1.49 apply (zenon_L203_); trivial.
% 1.33/1.49 apply (zenon_L816_); trivial.
% 1.33/1.49 (* end of lemma zenon_L1049_ *)
% 1.33/1.49 assert (zenon_L1050_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(hskp6)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H12e zenon_Ha2 zenon_H1b3 zenon_H18b zenon_H1b9 zenon_H74 zenon_H2d8 zenon_H5f zenon_H129 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H1 zenon_H7 zenon_H2da zenon_H1fa zenon_H1fb zenon_H1fc zenon_H254 zenon_H148 zenon_H177 zenon_H20d zenon_H1bc zenon_H11d zenon_H63 zenon_Hba zenon_H190 zenon_Hb9 zenon_Hef zenon_H1e7 zenon_H75 zenon_H142 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_Hdd zenon_H174 zenon_H157 zenon_Hd6 zenon_H163 zenon_H189 zenon_H101.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.33/1.49 apply (zenon_L825_); trivial.
% 1.33/1.49 apply (zenon_L1049_); trivial.
% 1.33/1.49 apply (zenon_L829_); trivial.
% 1.33/1.49 (* end of lemma zenon_L1050_ *)
% 1.33/1.49 assert (zenon_L1051_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (ndr1_0) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a2528))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H74 zenon_H2d8 zenon_H5f zenon_H129 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H148 zenon_H146 zenon_H281 zenon_H282 zenon_H1c7 zenon_H134 zenon_H133 zenon_H132 zenon_H12 zenon_H11d zenon_H11b zenon_H10d zenon_H105 zenon_H103 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e5 zenon_Hb3.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.33/1.49 apply (zenon_L713_); trivial.
% 1.33/1.49 apply (zenon_L811_); trivial.
% 1.33/1.49 (* end of lemma zenon_L1051_ *)
% 1.33/1.49 assert (zenon_L1052_ : ((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c1_1 (a2528))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H19a zenon_H190 zenon_Hb3 zenon_H1e5 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H103 zenon_H105 zenon_H10d zenon_H11b zenon_H11d zenon_H132 zenon_H133 zenon_H134 zenon_H1c7 zenon_H282 zenon_H281 zenon_H148 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H129 zenon_H5f zenon_H2d8 zenon_H74.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.33/1.49 apply (zenon_L1051_); trivial.
% 1.33/1.49 apply (zenon_L126_); trivial.
% 1.33/1.49 (* end of lemma zenon_L1052_ *)
% 1.33/1.49 assert (zenon_L1053_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (ndr1_0) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a2528))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H1b9 zenon_H74 zenon_H2d8 zenon_H5f zenon_H129 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H148 zenon_H281 zenon_H282 zenon_H1c7 zenon_H134 zenon_H133 zenon_H132 zenon_H12 zenon_H11d zenon_H11b zenon_H10d zenon_H105 zenon_H103 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e5 zenon_Hb3 zenon_H177 zenon_H20d zenon_H1fc zenon_H1fb zenon_H1fa zenon_H1bc zenon_H63 zenon_Hba zenon_H190.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.33/1.49 apply (zenon_L1051_); trivial.
% 1.33/1.49 apply (zenon_L823_); trivial.
% 1.33/1.49 apply (zenon_L1052_); trivial.
% 1.33/1.49 (* end of lemma zenon_L1053_ *)
% 1.33/1.49 assert (zenon_L1054_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((hskp23)\/(hskp27)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> (~(hskp16)) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H74 zenon_H2d8 zenon_H5f zenon_H129 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_Hdd zenon_H289 zenon_H1f zenon_H282 zenon_H281 zenon_H280 zenon_Hcb zenon_H1e9 zenon_H5 zenon_H75 zenon_H1e7 zenon_Hef.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.33/1.49 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.33/1.49 apply (zenon_L515_); trivial.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H1e8 ].
% 1.33/1.49 apply (zenon_L518_); trivial.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H93 | zenon_intro zenon_H76 ].
% 1.33/1.49 apply (zenon_L192_); trivial.
% 1.33/1.49 exact (zenon_H75 zenon_H76).
% 1.33/1.49 apply (zenon_L811_); trivial.
% 1.33/1.49 (* end of lemma zenon_L1054_ *)
% 1.33/1.49 assert (zenon_L1055_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> (~(hskp14)) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp9)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_Hb9 zenon_H54 zenon_H2da zenon_He8 zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_Hef zenon_H1e7 zenon_H75 zenon_H1e9 zenon_Hcb zenon_H280 zenon_H281 zenon_H282 zenon_H1f zenon_H289 zenon_Hdd zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H129 zenon_H5f zenon_H2d8 zenon_H74.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.33/1.49 apply (zenon_L1054_); trivial.
% 1.33/1.49 apply (zenon_L878_); trivial.
% 1.33/1.49 (* end of lemma zenon_L1055_ *)
% 1.33/1.49 assert (zenon_L1056_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> (~(hskp21)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp9)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_Hef zenon_H1e7 zenon_H75 zenon_H225 zenon_H226 zenon_H227 zenon_H9 zenon_H241 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_Hcb zenon_H280 zenon_H281 zenon_H282 zenon_H1f zenon_H289 zenon_Hdd.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.33/1.49 apply (zenon_L515_); trivial.
% 1.33/1.49 apply (zenon_L835_); trivial.
% 1.33/1.49 (* end of lemma zenon_L1056_ *)
% 1.33/1.49 assert (zenon_L1057_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(hskp8)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((hskp23)\/(hskp27)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_Hfe zenon_H54 zenon_Ha2 zenon_H7f zenon_H112 zenon_H2ba zenon_H92 zenon_Hdd zenon_H289 zenon_H1f zenon_H282 zenon_H281 zenon_H280 zenon_Hcb zenon_H241 zenon_H227 zenon_H226 zenon_H225 zenon_H75 zenon_H1e7 zenon_Hef.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.33/1.49 apply (zenon_L1056_); trivial.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.33/1.49 apply (zenon_L671_); trivial.
% 1.33/1.49 apply (zenon_L205_); trivial.
% 1.33/1.49 (* end of lemma zenon_L1057_ *)
% 1.33/1.49 assert (zenon_L1058_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp8)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (~(hskp16)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H54 zenon_Ha2 zenon_H7f zenon_H280 zenon_H281 zenon_H282 zenon_H112 zenon_H2ba zenon_H92 zenon_Hdd zenon_H148 zenon_H146 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H241 zenon_H227 zenon_H226 zenon_H225 zenon_H5 zenon_H144 zenon_Hef.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.33/1.49 apply (zenon_L293_); trivial.
% 1.33/1.49 apply (zenon_L672_); trivial.
% 1.33/1.49 (* end of lemma zenon_L1058_ *)
% 1.33/1.49 assert (zenon_L1059_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (~(hskp8)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_H177 zenon_H230 zenon_H227 zenon_H226 zenon_H225 zenon_H2d8 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H11b zenon_H11d zenon_H280 zenon_H281 zenon_H282 zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_H112 zenon_H2ba.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.33/1.49 apply (zenon_L680_); trivial.
% 1.33/1.49 apply (zenon_L842_); trivial.
% 1.33/1.49 (* end of lemma zenon_L1059_ *)
% 1.33/1.49 assert (zenon_L1060_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp8)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_Hb9 zenon_H54 zenon_Ha2 zenon_H7f zenon_H280 zenon_H281 zenon_H282 zenon_H112 zenon_H2ba zenon_H92 zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H241 zenon_H227 zenon_H226 zenon_H225 zenon_H144 zenon_Hef zenon_H11d zenon_H11b zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H2d8 zenon_H230 zenon_H177 zenon_H190.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.33/1.49 apply (zenon_L1058_); trivial.
% 1.33/1.49 apply (zenon_L842_); trivial.
% 1.33/1.49 apply (zenon_L1059_); trivial.
% 1.33/1.49 (* end of lemma zenon_L1060_ *)
% 1.33/1.49 assert (zenon_L1061_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (~(hskp8)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_H177 zenon_H230 zenon_H227 zenon_H226 zenon_H225 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H280 zenon_H281 zenon_H282 zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_H112 zenon_H2ba.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.33/1.49 apply (zenon_L680_); trivial.
% 1.33/1.49 apply (zenon_L343_); trivial.
% 1.33/1.49 (* end of lemma zenon_L1061_ *)
% 1.33/1.49 assert (zenon_L1062_ : ((ndr1_0)/\((c1_1 (a2526))/\((c3_1 (a2526))/\(~(c0_1 (a2526)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((hskp23)\/(hskp27)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H1f6 zenon_H12e zenon_H74 zenon_H5f zenon_H129 zenon_H1e9 zenon_H190 zenon_H177 zenon_H230 zenon_H2d8 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H11d zenon_Hef zenon_H144 zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_Hcb zenon_H148 zenon_Hdd zenon_H92 zenon_H2ba zenon_H112 zenon_H282 zenon_H281 zenon_H280 zenon_H7f zenon_Ha2 zenon_H54 zenon_Hb9.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.33/1.49 apply (zenon_L1060_); trivial.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.33/1.49 apply (zenon_L881_); trivial.
% 1.33/1.49 apply (zenon_L1061_); trivial.
% 1.33/1.49 (* end of lemma zenon_L1062_ *)
% 1.33/1.49 assert (zenon_L1063_ : ((~(hskp9))\/((ndr1_0)/\((c1_1 (a2526))/\((c3_1 (a2526))/\(~(c0_1 (a2526))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H1f5 zenon_H12e zenon_H190 zenon_H177 zenon_H230 zenon_H1bc zenon_H11d zenon_H144 zenon_H148 zenon_Hb9 zenon_H54 zenon_H2da zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_Hef zenon_H1e7 zenon_H75 zenon_H1e9 zenon_Hcb zenon_H280 zenon_H281 zenon_H282 zenon_H289 zenon_Hdd zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H129 zenon_H5f zenon_H2d8 zenon_H74 zenon_H92 zenon_H2ba zenon_H112 zenon_H7f zenon_Ha2 zenon_H101.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.33/1.49 apply (zenon_L1055_); trivial.
% 1.33/1.49 apply (zenon_L1057_); trivial.
% 1.33/1.49 apply (zenon_L1062_); trivial.
% 1.33/1.49 (* end of lemma zenon_L1063_ *)
% 1.33/1.49 assert (zenon_L1064_ : ((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H12b zenon_H74 zenon_H2d8 zenon_H5f zenon_H129 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H289 zenon_H1f zenon_H1c7 zenon_H282 zenon_H281 zenon_H280 zenon_H1e5 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H10d zenon_H103 zenon_H105 zenon_H1bc zenon_H230 zenon_H227 zenon_H226 zenon_H225 zenon_H177 zenon_Hb3.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.33/1.49 apply (zenon_L767_); trivial.
% 1.33/1.49 apply (zenon_L811_); trivial.
% 1.33/1.49 (* end of lemma zenon_L1064_ *)
% 1.33/1.49 assert (zenon_L1065_ : ((ndr1_0)/\((c3_1 (a2528))/\((~(c0_1 (a2528)))/\(~(c1_1 (a2528)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(hskp9)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H1d1 zenon_H12e zenon_H1bc zenon_H230 zenon_H227 zenon_H226 zenon_H225 zenon_H177 zenon_Hb3 zenon_H1e5 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H11d zenon_H280 zenon_H281 zenon_H282 zenon_H1c7 zenon_H1f zenon_H289 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H129 zenon_H5f zenon_H2d8 zenon_H74.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.33/1.49 apply (zenon_L1048_); trivial.
% 1.33/1.49 apply (zenon_L1064_); trivial.
% 1.33/1.49 (* end of lemma zenon_L1065_ *)
% 1.33/1.49 assert (zenon_L1066_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H12e zenon_Hb9 zenon_H54 zenon_H2da zenon_H241 zenon_H74 zenon_H2d8 zenon_H5f zenon_H129 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H1e9 zenon_H144 zenon_Hef zenon_H11d zenon_H1bc zenon_H225 zenon_H226 zenon_H227 zenon_H230 zenon_H177 zenon_H190 zenon_H174 zenon_H163 zenon_H152 zenon_Hd6 zenon_H157 zenon_H142 zenon_H75 zenon_H1e7 zenon_H101.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.33/1.49 apply (zenon_L879_); trivial.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.33/1.49 apply (zenon_L877_); trivial.
% 1.33/1.49 apply (zenon_L330_); trivial.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.33/1.49 apply (zenon_L882_); trivial.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.33/1.49 apply (zenon_L881_); trivial.
% 1.33/1.49 apply (zenon_L330_); trivial.
% 1.33/1.49 (* end of lemma zenon_L1066_ *)
% 1.33/1.49 assert (zenon_L1067_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (ndr1_0) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(hskp19)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_Hb3 zenon_H177 zenon_H225 zenon_H226 zenon_H227 zenon_H230 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H105 zenon_H103 zenon_H10d zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e5 zenon_H12 zenon_H132 zenon_H133 zenon_H134 zenon_H1c7 zenon_H3 zenon_H67 zenon_H66 zenon_H146 zenon_H148.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.33/1.49 apply (zenon_L155_); trivial.
% 1.33/1.49 apply (zenon_L319_); trivial.
% 1.33/1.49 (* end of lemma zenon_L1067_ *)
% 1.33/1.49 assert (zenon_L1068_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_Hfe zenon_Hb9 zenon_Ha2 zenon_H1e7 zenon_H75 zenon_H18b zenon_Hb3 zenon_H105 zenon_H103 zenon_H10d zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e5 zenon_H1c7 zenon_H74 zenon_H2d8 zenon_H5f zenon_H129 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H1e9 zenon_H144 zenon_Hef zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H225 zenon_H226 zenon_H227 zenon_H230 zenon_H177 zenon_H190.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.33/1.49 apply (zenon_L881_); trivial.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.33/1.49 apply (zenon_L1067_); trivial.
% 1.33/1.49 apply (zenon_L811_); trivial.
% 1.33/1.49 apply (zenon_L206_); trivial.
% 1.33/1.49 (* end of lemma zenon_L1068_ *)
% 1.33/1.49 assert (zenon_L1069_ : ((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H12b zenon_H101 zenon_Ha2 zenon_H1e7 zenon_H75 zenon_H18b zenon_Hb3 zenon_H105 zenon_H103 zenon_H10d zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e5 zenon_H1c7 zenon_H190 zenon_H177 zenon_H230 zenon_H227 zenon_H226 zenon_H225 zenon_H1bc zenon_Hef zenon_H144 zenon_H1e9 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_Hdd zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H129 zenon_H5f zenon_H2d8 zenon_H74 zenon_H241 zenon_H2da zenon_H54 zenon_Hb9.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.33/1.49 apply (zenon_L882_); trivial.
% 1.33/1.49 apply (zenon_L1068_); trivial.
% 1.33/1.49 (* end of lemma zenon_L1069_ *)
% 1.33/1.49 assert (zenon_L1070_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> (ndr1_0) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H1ea zenon_H262 zenon_H261 zenon_H93 zenon_H26 zenon_H25 zenon_H24 zenon_H12 zenon_H1d7 zenon_H1d8 zenon_H1d9.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H1eb ].
% 1.33/1.49 apply (zenon_L426_); trivial.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H23 | zenon_intro zenon_H1d6 ].
% 1.33/1.49 apply (zenon_L14_); trivial.
% 1.33/1.49 apply (zenon_L176_); trivial.
% 1.33/1.49 (* end of lemma zenon_L1070_ *)
% 1.33/1.49 assert (zenon_L1071_ : ((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (~(hskp2)) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H71 zenon_H1e7 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H261 zenon_H262 zenon_H1ea zenon_H75.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H1e8 ].
% 1.33/1.50 apply (zenon_L71_); trivial.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H93 | zenon_intro zenon_H76 ].
% 1.33/1.50 apply (zenon_L1070_); trivial.
% 1.33/1.50 exact (zenon_H75 zenon_H76).
% 1.33/1.50 (* end of lemma zenon_L1071_ *)
% 1.33/1.50 assert (zenon_L1072_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_Hfe zenon_H74 zenon_H1e7 zenon_H75 zenon_H289 zenon_H1f zenon_H1c7 zenon_H282 zenon_H281 zenon_H280 zenon_H1ea zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H262 zenon_H263 zenon_H261 zenon_H1e5 zenon_Hb3.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.33/1.50 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.33/1.50 apply (zenon_L664_); trivial.
% 1.33/1.50 apply (zenon_L421_); trivial.
% 1.33/1.50 apply (zenon_L1071_); trivial.
% 1.33/1.50 (* end of lemma zenon_L1072_ *)
% 1.33/1.50 assert (zenon_L1073_ : ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (ndr1_0) -> ((hskp23)\/(hskp27)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H101 zenon_H74 zenon_H1e7 zenon_H75 zenon_H289 zenon_H1f zenon_H1c7 zenon_H282 zenon_H281 zenon_H280 zenon_Hef zenon_Heb zenon_H1e0 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H12 zenon_Hcb zenon_H114 zenon_H12f zenon_Hdd zenon_H92 zenon_H1ea zenon_H262 zenon_H263 zenon_H261 zenon_H1e5 zenon_Hb3.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.33/1.50 apply (zenon_L422_); trivial.
% 1.33/1.50 apply (zenon_L1072_); trivial.
% 1.33/1.50 (* end of lemma zenon_L1073_ *)
% 1.33/1.50 assert (zenon_L1074_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> (~(hskp6)) -> (~(hskp16)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H74 zenon_H1e7 zenon_H75 zenon_H261 zenon_H262 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1ea zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H1 zenon_H5 zenon_H7.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.33/1.50 apply (zenon_L4_); trivial.
% 1.33/1.50 apply (zenon_L1071_); trivial.
% 1.33/1.50 (* end of lemma zenon_L1074_ *)
% 1.33/1.50 assert (zenon_L1075_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (~(c1_1 (a2521))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (ndr1_0) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(hskp19)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_Hb3 zenon_H1e5 zenon_H261 zenon_H263 zenon_H262 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1ea zenon_H12 zenon_H132 zenon_H133 zenon_H134 zenon_H1c7 zenon_H3 zenon_H282 zenon_H281 zenon_H146 zenon_H148.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.33/1.50 apply (zenon_L712_); trivial.
% 1.33/1.50 apply (zenon_L421_); trivial.
% 1.33/1.50 (* end of lemma zenon_L1075_ *)
% 1.33/1.50 assert (zenon_L1076_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (ndr1_0) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H74 zenon_H1e7 zenon_H75 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H148 zenon_H146 zenon_H281 zenon_H282 zenon_H1c7 zenon_H134 zenon_H133 zenon_H132 zenon_H12 zenon_H1ea zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H262 zenon_H263 zenon_H261 zenon_H1e5 zenon_Hb3.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.33/1.50 apply (zenon_L1075_); trivial.
% 1.33/1.50 apply (zenon_L1071_); trivial.
% 1.33/1.50 (* end of lemma zenon_L1076_ *)
% 1.33/1.50 assert (zenon_L1077_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (~(c1_1 (a2521))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_Ha2 zenon_H18b zenon_Hb3 zenon_H1e5 zenon_H261 zenon_H263 zenon_H262 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1ea zenon_H132 zenon_H133 zenon_H134 zenon_H1c7 zenon_H282 zenon_H281 zenon_H148 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H75 zenon_H1e7 zenon_H74.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.33/1.50 apply (zenon_L1076_); trivial.
% 1.33/1.50 apply (zenon_L206_); trivial.
% 1.33/1.50 (* end of lemma zenon_L1077_ *)
% 1.33/1.50 assert (zenon_L1078_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c3_1 (a2521)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((hskp6)\/((hskp19)\/(hskp16))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_Hfe zenon_Hb9 zenon_H190 zenon_Ha2 zenon_H18b zenon_Hb3 zenon_H1e5 zenon_H263 zenon_H132 zenon_H133 zenon_H134 zenon_H1c7 zenon_H282 zenon_H281 zenon_H148 zenon_H7 zenon_H1 zenon_H1ea zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H262 zenon_H261 zenon_H75 zenon_H1e7 zenon_H74.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.33/1.50 apply (zenon_L1074_); trivial.
% 1.33/1.50 apply (zenon_L1077_); trivial.
% 1.33/1.50 (* end of lemma zenon_L1078_ *)
% 1.33/1.50 assert (zenon_L1079_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (ndr1_0) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(hskp23)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> (~(hskp22)) -> (~(hskp5)) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(hskp24)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H92 zenon_H2ba zenon_H112 zenon_H282 zenon_H281 zenon_H280 zenon_H11d zenon_H11b zenon_H12 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H182 zenon_H181 zenon_H180 zenon_H2d8 zenon_H163 zenon_Hc7 zenon_H2f9 zenon_H2dc zenon_H2f7 zenon_H262 zenon_H263 zenon_H261 zenon_H7f zenon_H7b zenon_H216 zenon_H174 zenon_H177.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.33/1.50 apply (zenon_L887_); trivial.
% 1.33/1.50 apply (zenon_L670_); trivial.
% 1.33/1.50 (* end of lemma zenon_L1079_ *)
% 1.33/1.50 assert (zenon_L1080_ : ((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (c2_1 (a2552)) -> (~(c3_1 (a2552))) -> (~(c1_1 (a2552))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(hskp24)) -> (~(hskp25)) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H170 zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H2e2 zenon_H2e1 zenon_H2e0 zenon_H216 zenon_H262 zenon_H263 zenon_H261 zenon_H7f zenon_H7b zenon_H7d.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H167. zenon_intro zenon_H172.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H168. zenon_intro zenon_H169.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2d9 ].
% 1.33/1.50 apply (zenon_L809_); trivial.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H23 ].
% 1.33/1.50 apply (zenon_L851_); trivial.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H217 ].
% 1.33/1.50 apply (zenon_L420_); trivial.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H14a | zenon_intro zenon_H3f ].
% 1.33/1.50 apply (zenon_L108_); trivial.
% 1.33/1.50 apply (zenon_L283_); trivial.
% 1.33/1.50 (* end of lemma zenon_L1080_ *)
% 1.33/1.50 assert (zenon_L1081_ : ((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a2521))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(hskp25)) -> (~(hskp24)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c2_1 (a2552)) -> (~(c3_1 (a2552))) -> (~(c1_1 (a2552))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H173 zenon_H174 zenon_H2d8 zenon_H261 zenon_H263 zenon_H262 zenon_H7f zenon_H7d zenon_H7b zenon_H216 zenon_H2e2 zenon_H2e1 zenon_H2e0 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_Hc7 zenon_H163.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H164 | zenon_intro zenon_H170 ].
% 1.33/1.50 apply (zenon_L107_); trivial.
% 1.33/1.50 apply (zenon_L1080_); trivial.
% 1.33/1.50 (* end of lemma zenon_L1081_ *)
% 1.33/1.50 assert (zenon_L1082_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (ndr1_0) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(hskp23)) -> (~(c1_1 (a2552))) -> (~(c3_1 (a2552))) -> (c2_1 (a2552)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(hskp24)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H92 zenon_H2ba zenon_H112 zenon_H282 zenon_H281 zenon_H280 zenon_H11d zenon_H11b zenon_H12 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H182 zenon_H181 zenon_H180 zenon_H2d8 zenon_H163 zenon_Hc7 zenon_H2e0 zenon_H2e1 zenon_H2e2 zenon_H216 zenon_H7b zenon_H7f zenon_H262 zenon_H263 zenon_H261 zenon_H174 zenon_H177.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.33/1.50 apply (zenon_L815_); trivial.
% 1.33/1.50 apply (zenon_L1081_); trivial.
% 1.33/1.50 apply (zenon_L670_); trivial.
% 1.33/1.50 (* end of lemma zenon_L1082_ *)
% 1.33/1.50 assert (zenon_L1083_ : ((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c2_1 (a2555)) -> (c0_1 (a2555)) -> (~(c1_1 (a2555))) -> (c2_1 (a2545)) -> (c1_1 (a2545)) -> (~(c0_1 (a2545))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> (c2_1 (a2552)) -> (~(c3_1 (a2552))) -> (~(c1_1 (a2552))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H173 zenon_H174 zenon_H1f3 zenon_H96 zenon_H95 zenon_H94 zenon_H58 zenon_H57 zenon_H56 zenon_H2d8 zenon_H182 zenon_H181 zenon_H180 zenon_H2e2 zenon_H2e1 zenon_H2e0 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H261 zenon_H262 zenon_H1b3 zenon_Hc7 zenon_H163.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H164 | zenon_intro zenon_H170 ].
% 1.33/1.50 apply (zenon_L107_); trivial.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H167. zenon_intro zenon_H172.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H168. zenon_intro zenon_H169.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H1f4 ].
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H102 | zenon_intro zenon_H1b6 ].
% 1.33/1.50 apply (zenon_L901_); trivial.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H93 | zenon_intro zenon_H14a ].
% 1.33/1.50 apply (zenon_L426_); trivial.
% 1.33/1.50 apply (zenon_L108_); trivial.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H55 | zenon_intro zenon_H93 ].
% 1.33/1.50 apply (zenon_L25_); trivial.
% 1.33/1.50 apply (zenon_L43_); trivial.
% 1.33/1.50 (* end of lemma zenon_L1083_ *)
% 1.33/1.50 assert (zenon_L1084_ : ((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(c0_1 (a2545))) -> (c1_1 (a2545)) -> (c2_1 (a2545)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H2f1 zenon_Hef zenon_H189 zenon_H92 zenon_H2ba zenon_H112 zenon_H282 zenon_H281 zenon_H280 zenon_H11d zenon_H11b zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H182 zenon_H181 zenon_H180 zenon_H2d8 zenon_H163 zenon_H216 zenon_H7f zenon_H262 zenon_H263 zenon_H261 zenon_H174 zenon_H177 zenon_H1b3 zenon_H56 zenon_H57 zenon_H58 zenon_H1f3 zenon_Ha2.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H12. zenon_intro zenon_H2f2.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H2e2. zenon_intro zenon_H2f3.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H2e0. zenon_intro zenon_H2e1.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.33/1.50 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.33/1.50 apply (zenon_L1082_); trivial.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.33/1.50 apply (zenon_L815_); trivial.
% 1.33/1.50 apply (zenon_L1083_); trivial.
% 1.33/1.50 apply (zenon_L409_); trivial.
% 1.33/1.50 (* end of lemma zenon_L1084_ *)
% 1.33/1.50 assert (zenon_L1085_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_Hb9 zenon_Hef zenon_Ha2 zenon_H27a zenon_H263 zenon_H262 zenon_H261 zenon_H144 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_Hdd zenon_H177 zenon_H20d zenon_H1fc zenon_H1fb zenon_H1fa zenon_H2d8 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H11b zenon_H11d zenon_H92 zenon_H2ba zenon_H112 zenon_H282 zenon_H281 zenon_H280 zenon_H163 zenon_H2f9 zenon_H2f7 zenon_H7f zenon_H216 zenon_H174 zenon_H1f3 zenon_H1b3 zenon_H189 zenon_H2f4 zenon_Hba zenon_H190.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.33/1.50 apply (zenon_L474_); trivial.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.33/1.50 apply (zenon_L822_); trivial.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2f1 ].
% 1.33/1.50 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.33/1.50 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.33/1.50 apply (zenon_L1079_); trivial.
% 1.33/1.50 apply (zenon_L895_); trivial.
% 1.33/1.50 apply (zenon_L473_); trivial.
% 1.33/1.50 apply (zenon_L1084_); trivial.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.33/1.50 apply (zenon_L680_); trivial.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.33/1.50 apply (zenon_L822_); trivial.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2f1 ].
% 1.33/1.50 apply (zenon_L900_); trivial.
% 1.33/1.50 apply (zenon_L1084_); trivial.
% 1.33/1.50 (* end of lemma zenon_L1085_ *)
% 1.33/1.50 assert (zenon_L1086_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> (ndr1_0) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(hskp23)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> (~(hskp22)) -> (~(hskp5)) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(hskp24)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H92 zenon_H2ba zenon_H112 zenon_H282 zenon_H281 zenon_H280 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H182 zenon_H181 zenon_H180 zenon_H12 zenon_H163 zenon_Hc7 zenon_H2f9 zenon_H2dc zenon_H2f7 zenon_H262 zenon_H263 zenon_H261 zenon_H7f zenon_H7b zenon_H216 zenon_H174 zenon_H177.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.33/1.50 apply (zenon_L916_); trivial.
% 1.33/1.50 apply (zenon_L670_); trivial.
% 1.33/1.50 (* end of lemma zenon_L1086_ *)
% 1.33/1.50 assert (zenon_L1087_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> (ndr1_0) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> (~(hskp22)) -> (~(hskp5)) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> (~(c0_1 (a2545))) -> (c1_1 (a2545)) -> (c2_1 (a2545)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_Hef zenon_H189 zenon_H92 zenon_H2ba zenon_H112 zenon_H282 zenon_H281 zenon_H280 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H182 zenon_H181 zenon_H180 zenon_H12 zenon_H163 zenon_H2f9 zenon_H2dc zenon_H2f7 zenon_H262 zenon_H263 zenon_H261 zenon_H7f zenon_H216 zenon_H174 zenon_H177 zenon_H56 zenon_H57 zenon_H58 zenon_H1f3 zenon_Ha2.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.33/1.50 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.33/1.50 apply (zenon_L1086_); trivial.
% 1.33/1.50 apply (zenon_L924_); trivial.
% 1.33/1.50 apply (zenon_L409_); trivial.
% 1.33/1.50 (* end of lemma zenon_L1087_ *)
% 1.33/1.50 assert (zenon_L1088_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> (ndr1_0) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(hskp23)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> (~(c1_1 (a2552))) -> (~(c3_1 (a2552))) -> (c2_1 (a2552)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(hskp24)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H92 zenon_H2ba zenon_H112 zenon_H282 zenon_H281 zenon_H280 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H182 zenon_H181 zenon_H180 zenon_H12 zenon_H163 zenon_Hc7 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2e0 zenon_H2e1 zenon_H2e2 zenon_H216 zenon_H7b zenon_H7f zenon_H262 zenon_H263 zenon_H261 zenon_H2d8 zenon_H174 zenon_H177.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.33/1.50 apply (zenon_L148_); trivial.
% 1.33/1.50 apply (zenon_L1081_); trivial.
% 1.33/1.50 apply (zenon_L670_); trivial.
% 1.33/1.50 (* end of lemma zenon_L1088_ *)
% 1.33/1.50 assert (zenon_L1089_ : ((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(c0_1 (a2545))) -> (c1_1 (a2545)) -> (c2_1 (a2545)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H2f1 zenon_Hef zenon_H189 zenon_H92 zenon_H2ba zenon_H112 zenon_H282 zenon_H281 zenon_H280 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H182 zenon_H181 zenon_H180 zenon_H163 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H216 zenon_H7f zenon_H262 zenon_H263 zenon_H261 zenon_H2d8 zenon_H174 zenon_H177 zenon_H1b3 zenon_H56 zenon_H57 zenon_H58 zenon_H1f3 zenon_Ha2.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H12. zenon_intro zenon_H2f2.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H2e2. zenon_intro zenon_H2f3.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H2e0. zenon_intro zenon_H2e1.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.33/1.50 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.33/1.50 apply (zenon_L1088_); trivial.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.33/1.50 apply (zenon_L148_); trivial.
% 1.33/1.50 apply (zenon_L1083_); trivial.
% 1.33/1.50 apply (zenon_L409_); trivial.
% 1.33/1.50 (* end of lemma zenon_L1089_ *)
% 1.33/1.50 assert (zenon_L1090_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(c1_1 (a2521))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp8)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H18d zenon_Hba zenon_H2f4 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2d8 zenon_H1b3 zenon_Ha2 zenon_H1f3 zenon_H174 zenon_H216 zenon_H7f zenon_H261 zenon_H263 zenon_H262 zenon_H2f7 zenon_H2f9 zenon_H163 zenon_H280 zenon_H281 zenon_H282 zenon_H112 zenon_H2ba zenon_H92 zenon_H189 zenon_Hef zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H177.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.33/1.50 apply (zenon_L224_); trivial.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2f1 ].
% 1.33/1.50 apply (zenon_L1087_); trivial.
% 1.33/1.50 apply (zenon_L1089_); trivial.
% 1.33/1.50 (* end of lemma zenon_L1090_ *)
% 1.33/1.50 assert (zenon_L1091_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(c1_1 (a2521))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (~(hskp8)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_Hba zenon_H2f4 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2d8 zenon_H1b3 zenon_Ha2 zenon_H1f3 zenon_H174 zenon_H216 zenon_H7f zenon_H261 zenon_H263 zenon_H262 zenon_H2f7 zenon_H2f9 zenon_H163 zenon_H92 zenon_H189 zenon_Hef zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H177 zenon_H280 zenon_H281 zenon_H282 zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_H112 zenon_H2ba.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.33/1.50 apply (zenon_L680_); trivial.
% 1.33/1.50 apply (zenon_L1090_); trivial.
% 1.33/1.50 (* end of lemma zenon_L1091_ *)
% 1.33/1.50 assert (zenon_L1092_ : ((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c2_1 (a2545)) -> (c1_1 (a2545)) -> (~(c0_1 (a2545))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_Had zenon_Ha2 zenon_H1f3 zenon_H58 zenon_H57 zenon_H56 zenon_H261 zenon_H262 zenon_H263 zenon_H66 zenon_H67 zenon_H68 zenon_H27a.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.33/1.50 apply (zenon_L437_); trivial.
% 1.33/1.50 apply (zenon_L465_); trivial.
% 1.33/1.50 (* end of lemma zenon_L1092_ *)
% 1.33/1.50 assert (zenon_L1093_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(c1_1 (a2521))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp14)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_Hba zenon_Hb3 zenon_H27a zenon_Hef zenon_Heb zenon_H18b zenon_H163 zenon_H216 zenon_H261 zenon_H263 zenon_H262 zenon_H2f7 zenon_H2f9 zenon_H1f3 zenon_H174 zenon_Ha2 zenon_H1b3 zenon_H2d8 zenon_H189 zenon_H2f4 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H20d zenon_H177 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H148 zenon_He8 zenon_H254 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H2da.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.33/1.50 apply (zenon_L821_); trivial.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.33/1.50 apply (zenon_L224_); trivial.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.33/1.50 apply (zenon_L930_); trivial.
% 1.33/1.50 apply (zenon_L1092_); trivial.
% 1.33/1.50 (* end of lemma zenon_L1093_ *)
% 1.33/1.50 assert (zenon_L1094_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a2528))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_Hfe zenon_H74 zenon_H1e7 zenon_H75 zenon_H261 zenon_H262 zenon_H1ea zenon_H289 zenon_H1f zenon_H1c7 zenon_H282 zenon_H281 zenon_H280 zenon_H11d zenon_H11b zenon_H10d zenon_H105 zenon_H103 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e5 zenon_Hb3.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.33/1.50 apply (zenon_L692_); trivial.
% 1.33/1.50 apply (zenon_L1071_); trivial.
% 1.33/1.50 (* end of lemma zenon_L1094_ *)
% 1.33/1.50 assert (zenon_L1095_ : ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c1_1 (a2528))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (ndr1_0) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(hskp9)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((hskp23)\/(hskp27)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H101 zenon_H1e7 zenon_H75 zenon_H261 zenon_H262 zenon_Hb3 zenon_H1e5 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H103 zenon_H105 zenon_H10d zenon_H11b zenon_H11d zenon_H12 zenon_H280 zenon_H281 zenon_H282 zenon_H1c7 zenon_H1f zenon_H289 zenon_Hef zenon_Heb zenon_Hcb zenon_Hdd zenon_H1ea zenon_H74.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.33/1.50 apply (zenon_L692_); trivial.
% 1.33/1.50 apply (zenon_L768_); trivial.
% 1.33/1.50 apply (zenon_L1094_); trivial.
% 1.37/1.50 (* end of lemma zenon_L1095_ *)
% 1.37/1.50 assert (zenon_L1096_ : ((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((hskp23)\/(hskp27)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> (~(hskp16)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.37/1.50 do 0 intro. intros zenon_Hb2 zenon_H74 zenon_H1ea zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_He8 zenon_Heb zenon_H289 zenon_H1f zenon_H1c7 zenon_H282 zenon_H281 zenon_H280 zenon_Hdd zenon_Hcb zenon_H1e9 zenon_H5 zenon_H1f3 zenon_Hef zenon_Hb3.
% 1.37/1.50 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.37/1.50 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.37/1.50 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.37/1.50 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.37/1.50 apply (zenon_L666_); trivial.
% 1.37/1.50 apply (zenon_L768_); trivial.
% 1.37/1.50 (* end of lemma zenon_L1096_ *)
% 1.37/1.50 assert (zenon_L1097_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> (~(hskp16)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (ndr1_0) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(hskp9)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> (~(hskp14)) -> ((hskp23)\/(hskp27)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.37/1.50 do 0 intro. intros zenon_Hba zenon_H1e9 zenon_H5 zenon_H1f3 zenon_Hb3 zenon_H177 zenon_H20d zenon_H1fc zenon_H1fb zenon_H1fa zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H105 zenon_H103 zenon_H10d zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e5 zenon_H12 zenon_H280 zenon_H281 zenon_H282 zenon_H1c7 zenon_H1f zenon_H289 zenon_Hef zenon_Heb zenon_He8 zenon_Hcb zenon_Hdd zenon_H1ea zenon_H74.
% 1.37/1.50 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.37/1.50 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.37/1.50 apply (zenon_L748_); trivial.
% 1.37/1.50 apply (zenon_L768_); trivial.
% 1.37/1.50 apply (zenon_L1096_); trivial.
% 1.37/1.50 (* end of lemma zenon_L1097_ *)
% 1.37/1.50 assert (zenon_L1098_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (~(c1_1 (a2521))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(hskp5)) -> (~(hskp22)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (ndr1_0) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> (~(hskp20)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> False).
% 1.37/1.50 do 0 intro. intros zenon_H92 zenon_H177 zenon_H174 zenon_H216 zenon_H223 zenon_H261 zenon_H263 zenon_H262 zenon_H2f7 zenon_H2dc zenon_H2f9 zenon_Hc7 zenon_H163 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H182 zenon_H181 zenon_H180 zenon_H24 zenon_H25 zenon_H26 zenon_H2d8 zenon_H12 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H77 zenon_H1e0.
% 1.37/1.50 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.37/1.50 apply (zenon_L177_); trivial.
% 1.37/1.50 apply (zenon_L893_); trivial.
% 1.37/1.50 (* end of lemma zenon_L1098_ *)
% 1.37/1.50 assert (zenon_L1099_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (~(c1_1 (a2521))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (ndr1_0) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> (~(hskp20)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (~(c0_1 (a2545))) -> (c1_1 (a2545)) -> (c2_1 (a2545)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.37/1.50 do 0 intro. intros zenon_H2f4 zenon_H92 zenon_H177 zenon_H174 zenon_H216 zenon_H223 zenon_H261 zenon_H263 zenon_H262 zenon_H2f7 zenon_H2f9 zenon_H163 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H182 zenon_H181 zenon_H180 zenon_H24 zenon_H25 zenon_H26 zenon_H2d8 zenon_H12 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H77 zenon_H1e0 zenon_H56 zenon_H57 zenon_H58 zenon_H189 zenon_Hef.
% 1.37/1.50 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2f1 ].
% 1.37/1.50 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.37/1.50 apply (zenon_L1098_); trivial.
% 1.37/1.50 apply (zenon_L409_); trivial.
% 1.37/1.50 apply (zenon_L897_); trivial.
% 1.37/1.50 (* end of lemma zenon_L1099_ *)
% 1.37/1.50 assert (zenon_L1100_ : ((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c2_1 (a2545)) -> (c1_1 (a2545)) -> (~(c0_1 (a2545))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a2541))) -> (~(c2_1 (a2541))) -> (c3_1 (a2541)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> False).
% 1.37/1.50 do 0 intro. intros zenon_H71 zenon_Hb3 zenon_H1ea zenon_Hef zenon_H189 zenon_H58 zenon_H57 zenon_H56 zenon_H1e0 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H2d8 zenon_H180 zenon_H181 zenon_H182 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H163 zenon_H2f9 zenon_H2f7 zenon_H262 zenon_H263 zenon_H261 zenon_H223 zenon_H216 zenon_H174 zenon_H177 zenon_H92 zenon_H2f4.
% 1.37/1.50 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.37/1.50 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.37/1.50 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.37/1.50 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.37/1.50 apply (zenon_L1099_); trivial.
% 1.37/1.50 apply (zenon_L196_); trivial.
% 1.37/1.50 (* end of lemma zenon_L1100_ *)
% 1.37/1.50 assert (zenon_L1101_ : ((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a2541))) -> (~(c2_1 (a2541))) -> (c3_1 (a2541)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> (~(hskp6)) -> (~(hskp16)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> False).
% 1.37/1.50 do 0 intro. intros zenon_Hb2 zenon_H74 zenon_Hb3 zenon_H1ea zenon_Hef zenon_H189 zenon_H1e0 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H2d8 zenon_H180 zenon_H181 zenon_H182 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H163 zenon_H2f9 zenon_H2f7 zenon_H262 zenon_H263 zenon_H261 zenon_H223 zenon_H216 zenon_H174 zenon_H177 zenon_H92 zenon_H2f4 zenon_H1 zenon_H5 zenon_H7.
% 1.37/1.50 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.37/1.50 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.37/1.50 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.37/1.50 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.37/1.50 apply (zenon_L4_); trivial.
% 1.37/1.50 apply (zenon_L1100_); trivial.
% 1.37/1.50 (* end of lemma zenon_L1101_ *)
% 1.37/1.50 assert (zenon_L1102_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> (~(hskp6)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.37/1.50 do 0 intro. intros zenon_H190 zenon_Hba zenon_H74 zenon_Hb3 zenon_H1ea zenon_H189 zenon_H1e0 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H163 zenon_H2f9 zenon_H2f7 zenon_H223 zenon_H216 zenon_H174 zenon_H92 zenon_H2f4 zenon_H1 zenon_H7 zenon_H11d zenon_H11b zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H2d8 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H177 zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H144 zenon_H5 zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_Ha2 zenon_Hef.
% 1.37/1.50 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.37/1.50 apply (zenon_L474_); trivial.
% 1.37/1.50 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.37/1.50 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.37/1.50 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.37/1.50 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.37/1.50 apply (zenon_L822_); trivial.
% 1.37/1.50 apply (zenon_L1101_); trivial.
% 1.37/1.50 (* end of lemma zenon_L1102_ *)
% 1.37/1.50 assert (zenon_L1103_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> (~(hskp6)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.37/1.50 do 0 intro. intros zenon_H190 zenon_Hba zenon_H74 zenon_Hb3 zenon_H1ea zenon_H189 zenon_H1e0 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H163 zenon_H2f9 zenon_H2f7 zenon_H223 zenon_H216 zenon_H174 zenon_H92 zenon_H2f4 zenon_H1 zenon_H7 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H177 zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H144 zenon_H5 zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_Ha2 zenon_Hef.
% 1.37/1.50 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.37/1.50 apply (zenon_L474_); trivial.
% 1.37/1.50 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.37/1.50 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.37/1.50 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.37/1.50 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.37/1.50 apply (zenon_L224_); trivial.
% 1.37/1.50 apply (zenon_L1101_); trivial.
% 1.37/1.50 (* end of lemma zenon_L1103_ *)
% 1.37/1.50 assert (zenon_L1104_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp14)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((hskp6)\/((hskp19)\/(hskp16))) -> (~(hskp6)) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.37/1.50 do 0 intro. intros zenon_Hb9 zenon_Heb zenon_H18b zenon_H1f3 zenon_H1b3 zenon_He8 zenon_H254 zenon_H2da zenon_Hef zenon_Ha2 zenon_H27a zenon_H263 zenon_H262 zenon_H261 zenon_H144 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_Hdd zenon_H177 zenon_H20d zenon_H1fc zenon_H1fb zenon_H1fa zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H7 zenon_H1 zenon_H2f4 zenon_H92 zenon_H174 zenon_H216 zenon_H223 zenon_H2f7 zenon_H2f9 zenon_H163 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2d8 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e0 zenon_H189 zenon_H1ea zenon_Hb3 zenon_H74 zenon_Hba zenon_H190.
% 1.37/1.50 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.37/1.50 apply (zenon_L1103_); trivial.
% 1.37/1.50 apply (zenon_L1093_); trivial.
% 1.37/1.50 (* end of lemma zenon_L1104_ *)
% 1.37/1.50 assert (zenon_L1105_ : ((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> ((hskp23)\/(hskp27)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.37/1.50 do 0 intro. intros zenon_H12b zenon_H101 zenon_Hb9 zenon_H18b zenon_H1c7 zenon_H282 zenon_H281 zenon_H75 zenon_H1e7 zenon_H74 zenon_Ha2 zenon_H27a zenon_H144 zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_H1bc zenon_H225 zenon_H226 zenon_H227 zenon_H230 zenon_H177 zenon_H190 zenon_Hef zenon_Heb zenon_H1e0 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_Hcb zenon_H114 zenon_H12f zenon_Hdd zenon_H92 zenon_H1ea zenon_H262 zenon_H263 zenon_H261 zenon_H1e5 zenon_Hb3.
% 1.37/1.50 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.37/1.50 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.37/1.50 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.37/1.50 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.37/1.50 apply (zenon_L422_); trivial.
% 1.37/1.50 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.37/1.50 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.37/1.50 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.37/1.50 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.37/1.50 apply (zenon_L509_); trivial.
% 1.37/1.50 apply (zenon_L1077_); trivial.
% 1.37/1.50 (* end of lemma zenon_L1105_ *)
% 1.37/1.50 assert (zenon_L1106_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((hskp23)\/(hskp27)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp9)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> False).
% 1.37/1.50 do 0 intro. intros zenon_H12e zenon_Hb9 zenon_H254 zenon_H54 zenon_Hdd zenon_H2da zenon_H1fa zenon_H1fb zenon_H1fc zenon_H148 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_Hcb zenon_H144 zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_Hef zenon_H11d zenon_H1bc zenon_H2d8 zenon_H230 zenon_H177 zenon_H190 zenon_H1e7 zenon_H75 zenon_H280 zenon_H281 zenon_H282 zenon_H1f zenon_H289 zenon_H92 zenon_H2ba zenon_H112 zenon_H7f zenon_Ha2 zenon_H101.
% 1.37/1.50 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.37/1.50 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.37/1.50 apply (zenon_L844_); trivial.
% 1.37/1.50 apply (zenon_L1057_); trivial.
% 1.37/1.50 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.37/1.50 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.37/1.50 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.37/1.50 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.37/1.50 apply (zenon_L861_); trivial.
% 1.37/1.50 apply (zenon_L1057_); trivial.
% 1.37/1.50 (* end of lemma zenon_L1106_ *)
% 1.37/1.50 assert (zenon_L1107_ : ((~(hskp9))\/((ndr1_0)/\((c1_1 (a2526))/\((c3_1 (a2526))/\(~(c0_1 (a2526))))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a2528))/\((~(c0_1 (a2528)))/\(~(c1_1 (a2528))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(hskp8)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531))))))) -> False).
% 1.37/1.50 do 0 intro. intros zenon_H1f5 zenon_H1d4 zenon_H223 zenon_H189 zenon_H163 zenon_H174 zenon_H157 zenon_H152 zenon_H1b3 zenon_H1f3 zenon_H27a zenon_H263 zenon_H262 zenon_H261 zenon_H101 zenon_Ha2 zenon_H7f zenon_H112 zenon_H2ba zenon_H92 zenon_H289 zenon_H282 zenon_H281 zenon_H280 zenon_H75 zenon_H1e7 zenon_H190 zenon_H177 zenon_H230 zenon_H2d8 zenon_H1bc zenon_H11d zenon_Hef zenon_H241 zenon_H227 zenon_H226 zenon_H225 zenon_H144 zenon_Hcb zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H148 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H2da zenon_Hdd zenon_H54 zenon_H254 zenon_Hb9 zenon_H12e.
% 1.37/1.50 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.37/1.50 apply (zenon_L1106_); trivial.
% 1.37/1.50 apply (zenon_L1027_); trivial.
% 1.37/1.50 (* end of lemma zenon_L1107_ *)
% 1.37/1.50 assert (zenon_L1108_ : ((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(c0_1 (a2545))) -> (c1_1 (a2545)) -> (c2_1 (a2545)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp9)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> False).
% 1.37/1.50 do 0 intro. intros zenon_Had zenon_Hef zenon_Ha2 zenon_H56 zenon_H57 zenon_H58 zenon_H27a zenon_H263 zenon_H262 zenon_H261 zenon_H1f3 zenon_Hcb zenon_H280 zenon_H281 zenon_H282 zenon_H1f zenon_H289 zenon_Hdd.
% 1.37/1.50 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.37/1.50 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.37/1.50 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.37/1.50 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.37/1.50 apply (zenon_L515_); trivial.
% 1.37/1.50 apply (zenon_L466_); trivial.
% 1.37/1.50 (* end of lemma zenon_L1108_ *)
% 1.37/1.50 assert (zenon_L1109_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(c0_1 (a2545))) -> (c1_1 (a2545)) -> (c2_1 (a2545)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((hskp23)\/(hskp27)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> (ndr1_0) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(hskp19)) -> (~(hskp9)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> False).
% 1.37/1.50 do 0 intro. intros zenon_Hb3 zenon_Hef zenon_Ha2 zenon_H56 zenon_H57 zenon_H58 zenon_H27a zenon_H263 zenon_H262 zenon_H261 zenon_H1f3 zenon_Hcb zenon_Hdd zenon_H12 zenon_H280 zenon_H281 zenon_H282 zenon_H1c7 zenon_H3 zenon_H1f zenon_H289.
% 1.37/1.50 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.37/1.50 apply (zenon_L664_); trivial.
% 1.37/1.50 apply (zenon_L1108_); trivial.
% 1.37/1.50 (* end of lemma zenon_L1109_ *)
% 1.37/1.50 assert (zenon_L1110_ : ((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((hskp23)\/(hskp27)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.37/1.50 do 0 intro. intros zenon_Hb2 zenon_H74 zenon_H1e7 zenon_H75 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1ea zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H289 zenon_H1f zenon_H1c7 zenon_H282 zenon_H281 zenon_H280 zenon_Hdd zenon_Hcb zenon_H1f3 zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_Ha2 zenon_Hef zenon_Hb3.
% 1.37/1.50 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.37/1.50 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.37/1.50 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.37/1.50 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.37/1.50 apply (zenon_L1109_); trivial.
% 1.37/1.50 apply (zenon_L1071_); trivial.
% 1.37/1.50 (* end of lemma zenon_L1110_ *)
% 1.37/1.50 assert (zenon_L1111_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((hskp23)\/(hskp27)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> False).
% 1.37/1.50 do 0 intro. intros zenon_Hfe zenon_Hba zenon_H74 zenon_H1e7 zenon_H75 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1ea zenon_H289 zenon_H1f zenon_H1c7 zenon_H282 zenon_H281 zenon_H280 zenon_Hdd zenon_Hcb zenon_H1f3 zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_Ha2 zenon_Hef zenon_Hb3 zenon_H152 zenon_Hd6 zenon_H227 zenon_H226 zenon_H225 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H177.
% 1.37/1.50 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.37/1.50 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.37/1.50 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.37/1.50 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.37/1.50 apply (zenon_L324_); trivial.
% 1.37/1.50 apply (zenon_L1110_); trivial.
% 1.37/1.50 (* end of lemma zenon_L1111_ *)
% 1.37/1.50 assert (zenon_L1112_ : ((ndr1_0)/\((c3_1 (a2528))/\((~(c0_1 (a2528)))/\(~(c1_1 (a2528)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((hskp23)\/(hskp27)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> False).
% 1.37/1.50 do 0 intro. intros zenon_H1d1 zenon_H12e zenon_H177 zenon_H225 zenon_H226 zenon_H227 zenon_H230 zenon_H1bc zenon_H74 zenon_H1ea zenon_Hdd zenon_Hcb zenon_Heb zenon_Hef zenon_H289 zenon_H1f zenon_H1c7 zenon_H282 zenon_H281 zenon_H280 zenon_H11d zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e5 zenon_Hb3 zenon_H262 zenon_H261 zenon_H75 zenon_H1e7 zenon_H101.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.37/1.51 apply (zenon_L1095_); trivial.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.37/1.51 apply (zenon_L769_); trivial.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.37/1.51 apply (zenon_L767_); trivial.
% 1.37/1.51 apply (zenon_L1071_); trivial.
% 1.37/1.51 (* end of lemma zenon_L1112_ *)
% 1.37/1.51 assert (zenon_L1113_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> (ndr1_0) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(hskp19)) -> (~(hskp9)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> False).
% 1.37/1.51 do 0 intro. intros zenon_Hb3 zenon_H1e5 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H300 zenon_H2ff zenon_H2fe zenon_H12 zenon_H280 zenon_H281 zenon_H282 zenon_H1c7 zenon_H3 zenon_H1f zenon_H289.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.37/1.51 apply (zenon_L664_); trivial.
% 1.37/1.51 apply (zenon_L954_); trivial.
% 1.37/1.51 (* end of lemma zenon_L1113_ *)
% 1.37/1.51 assert (zenon_L1114_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (ndr1_0) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> (~(hskp20)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> False).
% 1.37/1.51 do 0 intro. intros zenon_H92 zenon_H177 zenon_H174 zenon_H216 zenon_H261 zenon_H262 zenon_H263 zenon_H223 zenon_H300 zenon_H2ff zenon_H2fe zenon_Hc7 zenon_H163 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H182 zenon_H181 zenon_H180 zenon_H24 zenon_H25 zenon_H26 zenon_H2d8 zenon_H12 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H77 zenon_H1e0.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.37/1.51 apply (zenon_L177_); trivial.
% 1.37/1.51 apply (zenon_L962_); trivial.
% 1.37/1.51 (* end of lemma zenon_L1114_ *)
% 1.37/1.51 assert (zenon_L1115_ : ((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a2541))) -> (~(c2_1 (a2541))) -> (c3_1 (a2541)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> False).
% 1.37/1.51 do 0 intro. intros zenon_H71 zenon_Hb3 zenon_H1ea zenon_Hef zenon_H51 zenon_H189 zenon_H2de zenon_H3a zenon_H3e zenon_H1e0 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H2d8 zenon_H180 zenon_H181 zenon_H182 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H163 zenon_H2fe zenon_H2ff zenon_H300 zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H216 zenon_H174 zenon_H177 zenon_H92 zenon_H2f4.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.37/1.51 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2f1 ].
% 1.37/1.51 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.37/1.51 apply (zenon_L1114_); trivial.
% 1.37/1.51 apply (zenon_L973_); trivial.
% 1.37/1.51 apply (zenon_L897_); trivial.
% 1.37/1.51 apply (zenon_L196_); trivial.
% 1.37/1.51 (* end of lemma zenon_L1115_ *)
% 1.37/1.51 assert (zenon_L1116_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> (~(hskp6)) -> (~(hskp16)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> False).
% 1.37/1.51 do 0 intro. intros zenon_H18d zenon_H74 zenon_Hb3 zenon_H1ea zenon_Hef zenon_H51 zenon_H189 zenon_H2de zenon_H3a zenon_H3e zenon_H1e0 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H2d8 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H163 zenon_H2fe zenon_H2ff zenon_H300 zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H216 zenon_H174 zenon_H177 zenon_H92 zenon_H2f4 zenon_H1 zenon_H5 zenon_H7.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.37/1.51 apply (zenon_L4_); trivial.
% 1.37/1.51 apply (zenon_L1115_); trivial.
% 1.37/1.51 (* end of lemma zenon_L1116_ *)
% 1.37/1.51 assert (zenon_L1117_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> (~(hskp6)) -> (~(hskp16)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (~(c1_1 (a2521))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (ndr1_0) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.37/1.51 do 0 intro. intros zenon_H190 zenon_Hef zenon_H51 zenon_H189 zenon_H2de zenon_H3a zenon_H3e zenon_H1e0 zenon_H2d8 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H163 zenon_H2fe zenon_H2ff zenon_H300 zenon_H223 zenon_H216 zenon_H174 zenon_H177 zenon_H92 zenon_H2f4 zenon_H1 zenon_H5 zenon_H7 zenon_Hb3 zenon_H1e5 zenon_H261 zenon_H263 zenon_H262 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1ea zenon_H12 zenon_H132 zenon_H133 zenon_H134 zenon_H1c7 zenon_H282 zenon_H281 zenon_H148 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H75 zenon_H1e7 zenon_H74.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.37/1.51 apply (zenon_L1076_); trivial.
% 1.37/1.51 apply (zenon_L1116_); trivial.
% 1.37/1.51 (* end of lemma zenon_L1117_ *)
% 1.37/1.51 assert (zenon_L1118_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (ndr1_0) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(hskp23)) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(hskp24)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> False).
% 1.37/1.51 do 0 intro. intros zenon_H92 zenon_H2ba zenon_H112 zenon_H282 zenon_H281 zenon_H280 zenon_H11d zenon_H11b zenon_H12 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H182 zenon_H181 zenon_H180 zenon_H2d8 zenon_H163 zenon_Hc7 zenon_H2fe zenon_H2ff zenon_H300 zenon_H7f zenon_H7b zenon_H216 zenon_H174 zenon_H177.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.37/1.51 apply (zenon_L959_); trivial.
% 1.37/1.51 apply (zenon_L670_); trivial.
% 1.37/1.51 (* end of lemma zenon_L1118_ *)
% 1.37/1.51 assert (zenon_L1119_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> False).
% 1.37/1.51 do 0 intro. intros zenon_H18d zenon_Hba zenon_Hef zenon_H189 zenon_H92 zenon_H2ba zenon_H112 zenon_H282 zenon_H281 zenon_H280 zenon_H163 zenon_H2fe zenon_H2ff zenon_H300 zenon_H7f zenon_H216 zenon_H174 zenon_H263 zenon_H262 zenon_H261 zenon_H1f3 zenon_Ha2 zenon_H11d zenon_H11b zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H2d8 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H177.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.37/1.51 apply (zenon_L822_); trivial.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.37/1.51 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.37/1.51 apply (zenon_L1118_); trivial.
% 1.37/1.51 apply (zenon_L976_); trivial.
% 1.37/1.51 apply (zenon_L409_); trivial.
% 1.37/1.51 (* end of lemma zenon_L1119_ *)
% 1.37/1.51 assert (zenon_L1120_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp8)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.37/1.51 do 0 intro. intros zenon_Hb9 zenon_Hef zenon_Ha2 zenon_H27a zenon_H263 zenon_H262 zenon_H261 zenon_H144 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_Hdd zenon_H177 zenon_H20d zenon_H1fc zenon_H1fb zenon_H1fa zenon_H2d8 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H11b zenon_H11d zenon_H1f3 zenon_H174 zenon_H216 zenon_H7f zenon_H300 zenon_H2ff zenon_H2fe zenon_H163 zenon_H280 zenon_H281 zenon_H282 zenon_H112 zenon_H2ba zenon_H92 zenon_H189 zenon_Hba zenon_H190.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.37/1.51 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.37/1.51 apply (zenon_L474_); trivial.
% 1.37/1.51 apply (zenon_L1119_); trivial.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.37/1.51 apply (zenon_L680_); trivial.
% 1.37/1.51 apply (zenon_L1119_); trivial.
% 1.37/1.51 (* end of lemma zenon_L1120_ *)
% 1.37/1.51 assert (zenon_L1121_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> (ndr1_0) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(hskp23)) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(hskp24)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> False).
% 1.37/1.51 do 0 intro. intros zenon_H92 zenon_H2ba zenon_H112 zenon_H282 zenon_H281 zenon_H280 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H182 zenon_H181 zenon_H180 zenon_H12 zenon_H163 zenon_Hc7 zenon_H2fe zenon_H2ff zenon_H300 zenon_H7f zenon_H7b zenon_H216 zenon_H174 zenon_H177.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.37/1.51 apply (zenon_L981_); trivial.
% 1.37/1.51 apply (zenon_L670_); trivial.
% 1.37/1.51 (* end of lemma zenon_L1121_ *)
% 1.37/1.51 assert (zenon_L1122_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c2_1 (a2545)) -> (c1_1 (a2545)) -> (~(c0_1 (a2545))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (ndr1_0) -> (~(c1_1 (a2541))) -> (~(c2_1 (a2541))) -> (c3_1 (a2541)) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp8)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> False).
% 1.37/1.51 do 0 intro. intros zenon_Ha2 zenon_H1f3 zenon_H58 zenon_H57 zenon_H56 zenon_H261 zenon_H262 zenon_H263 zenon_H177 zenon_H174 zenon_H216 zenon_H7f zenon_H300 zenon_H2ff zenon_H2fe zenon_Hc7 zenon_H163 zenon_H12 zenon_H180 zenon_H181 zenon_H182 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H280 zenon_H281 zenon_H282 zenon_H112 zenon_H2ba zenon_H92.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.37/1.51 apply (zenon_L1121_); trivial.
% 1.37/1.51 apply (zenon_L983_); trivial.
% 1.37/1.51 (* end of lemma zenon_L1122_ *)
% 1.37/1.51 assert (zenon_L1123_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> False).
% 1.37/1.51 do 0 intro. intros zenon_H18d zenon_Hba zenon_Hef zenon_H189 zenon_H92 zenon_H2ba zenon_H112 zenon_H282 zenon_H281 zenon_H280 zenon_H163 zenon_H2fe zenon_H2ff zenon_H300 zenon_H7f zenon_H216 zenon_H174 zenon_H263 zenon_H262 zenon_H261 zenon_H1f3 zenon_Ha2 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H177.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.37/1.51 apply (zenon_L224_); trivial.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.37/1.51 apply (zenon_L1122_); trivial.
% 1.37/1.51 apply (zenon_L409_); trivial.
% 1.37/1.51 (* end of lemma zenon_L1123_ *)
% 1.37/1.51 assert (zenon_L1124_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (~(hskp8)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> False).
% 1.37/1.51 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_Hba zenon_Hef zenon_H189 zenon_H92 zenon_H163 zenon_H2fe zenon_H2ff zenon_H300 zenon_H7f zenon_H216 zenon_H174 zenon_H263 zenon_H262 zenon_H261 zenon_H1f3 zenon_Ha2 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H177 zenon_H280 zenon_H281 zenon_H282 zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_H112 zenon_H2ba.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.37/1.51 apply (zenon_L680_); trivial.
% 1.37/1.51 apply (zenon_L1123_); trivial.
% 1.37/1.51 (* end of lemma zenon_L1124_ *)
% 1.37/1.51 assert (zenon_L1125_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((hskp23)\/(hskp27)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> (~(hskp16)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> (ndr1_0) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((hskp18)\/(hskp10))) -> False).
% 1.37/1.51 do 0 intro. intros zenon_Hba zenon_H74 zenon_H1ea zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_He8 zenon_Heb zenon_H289 zenon_H1f zenon_H1c7 zenon_H282 zenon_H281 zenon_H280 zenon_Hdd zenon_Hcb zenon_H1e9 zenon_H5 zenon_H1f3 zenon_Hef zenon_Hb3 zenon_H12 zenon_H2fe zenon_H2ff zenon_H300 zenon_Hd6 zenon_H307.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.37/1.51 apply (zenon_L1005_); trivial.
% 1.37/1.51 apply (zenon_L1096_); trivial.
% 1.37/1.51 (* end of lemma zenon_L1125_ *)
% 1.37/1.51 assert (zenon_L1126_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((hskp23)\/(hskp27)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((hskp18)\/(hskp10))) -> False).
% 1.37/1.51 do 0 intro. intros zenon_Hfe zenon_Hba zenon_H74 zenon_H1e7 zenon_H75 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1ea zenon_H289 zenon_H1f zenon_H1c7 zenon_H282 zenon_H281 zenon_H280 zenon_Hdd zenon_Hcb zenon_H1f3 zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_Ha2 zenon_Hef zenon_Hb3 zenon_H2fe zenon_H2ff zenon_H300 zenon_Hd6 zenon_H307.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.37/1.51 apply (zenon_L1005_); trivial.
% 1.37/1.51 apply (zenon_L1110_); trivial.
% 1.37/1.51 (* end of lemma zenon_L1126_ *)
% 1.37/1.51 assert (zenon_L1127_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (ndr1_0) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> (~(hskp18)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.37/1.51 do 0 intro. intros zenon_H74 zenon_H1e7 zenon_H75 zenon_H261 zenon_H262 zenon_H1ea zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H289 zenon_H1f zenon_H1c7 zenon_H282 zenon_H281 zenon_H280 zenon_H12 zenon_H1e5 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H10d zenon_H103 zenon_H105 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H1fa zenon_H1fb zenon_H1fc zenon_Hb zenon_H20d zenon_H177 zenon_Hb3.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.37/1.51 apply (zenon_L748_); trivial.
% 1.37/1.51 apply (zenon_L1071_); trivial.
% 1.37/1.51 (* end of lemma zenon_L1127_ *)
% 1.37/1.51 assert (zenon_L1128_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (~(hskp14)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((hskp6)\/((hskp19)\/(hskp16))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.37/1.51 do 0 intro. intros zenon_Hb9 zenon_H189 zenon_H18b zenon_He8 zenon_H254 zenon_H2da zenon_Hef zenon_Ha2 zenon_H27a zenon_H263 zenon_H262 zenon_H261 zenon_H144 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_Hdd zenon_H177 zenon_H20d zenon_H1fc zenon_H1fb zenon_H1fa zenon_H2d8 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H11b zenon_H11d zenon_H7 zenon_H1 zenon_H1f3 zenon_H174 zenon_H216 zenon_H7f zenon_H300 zenon_H2ff zenon_H2fe zenon_H163 zenon_H223 zenon_H92 zenon_H74 zenon_Hba zenon_H190.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.37/1.51 apply (zenon_L995_); trivial.
% 1.37/1.51 apply (zenon_L978_); trivial.
% 1.37/1.51 (* end of lemma zenon_L1128_ *)
% 1.37/1.51 assert (zenon_L1129_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c2_1 (a2545)) -> (c1_1 (a2545)) -> (~(c0_1 (a2545))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (ndr1_0) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(hskp19)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> False).
% 1.37/1.51 do 0 intro. intros zenon_Hb3 zenon_Ha2 zenon_H1f3 zenon_H58 zenon_H57 zenon_H56 zenon_H261 zenon_H262 zenon_H263 zenon_H66 zenon_H67 zenon_H68 zenon_H27a zenon_H12 zenon_H132 zenon_H133 zenon_H134 zenon_H1c7 zenon_H3 zenon_H282 zenon_H281 zenon_H146 zenon_H148.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.37/1.51 apply (zenon_L712_); trivial.
% 1.37/1.51 apply (zenon_L1092_); trivial.
% 1.37/1.51 (* end of lemma zenon_L1129_ *)
% 1.37/1.51 assert (zenon_L1130_ : ((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.37/1.51 do 0 intro. intros zenon_Hb2 zenon_H74 zenon_H1e7 zenon_H75 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1ea zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H148 zenon_H146 zenon_H281 zenon_H282 zenon_H1c7 zenon_H134 zenon_H133 zenon_H132 zenon_H27a zenon_H68 zenon_H67 zenon_H66 zenon_H263 zenon_H262 zenon_H261 zenon_H1f3 zenon_Ha2 zenon_Hb3.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.37/1.51 apply (zenon_L1129_); trivial.
% 1.37/1.51 apply (zenon_L1071_); trivial.
% 1.37/1.51 (* end of lemma zenon_L1130_ *)
% 1.37/1.51 assert (zenon_L1131_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> (ndr1_0) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((hskp18)\/(hskp10))) -> False).
% 1.37/1.51 do 0 intro. intros zenon_Hba zenon_H74 zenon_H1e7 zenon_H75 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1ea zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H148 zenon_H146 zenon_H281 zenon_H282 zenon_H1c7 zenon_H134 zenon_H133 zenon_H132 zenon_H27a zenon_H68 zenon_H67 zenon_H66 zenon_H263 zenon_H262 zenon_H261 zenon_H1f3 zenon_Ha2 zenon_Hb3 zenon_H12 zenon_H2fe zenon_H2ff zenon_H300 zenon_Hd6 zenon_H307.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.37/1.51 apply (zenon_L1005_); trivial.
% 1.37/1.51 apply (zenon_L1130_); trivial.
% 1.37/1.51 (* end of lemma zenon_L1131_ *)
% 1.37/1.51 assert (zenon_L1132_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((hskp18)\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.37/1.51 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_Hef zenon_H189 zenon_H11d zenon_H11b zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H2d8 zenon_H163 zenon_H157 zenon_H174 zenon_H177 zenon_H307 zenon_Hd6 zenon_H300 zenon_H2ff zenon_H2fe zenon_Hb3 zenon_Ha2 zenon_H1f3 zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_H132 zenon_H133 zenon_H134 zenon_H1c7 zenon_H282 zenon_H281 zenon_H148 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H1ea zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H75 zenon_H1e7 zenon_H74 zenon_Hba.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.37/1.51 apply (zenon_L1131_); trivial.
% 1.37/1.51 apply (zenon_L816_); trivial.
% 1.37/1.51 (* end of lemma zenon_L1132_ *)
% 1.37/1.51 assert (zenon_L1133_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (~(hskp14)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((hskp6)\/((hskp19)\/(hskp16))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.37/1.51 do 0 intro. intros zenon_Hb9 zenon_H18b zenon_He8 zenon_H254 zenon_H2da zenon_Hef zenon_Ha2 zenon_H27a zenon_H263 zenon_H262 zenon_H261 zenon_H144 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_Hdd zenon_H177 zenon_H20d zenon_H1fc zenon_H1fb zenon_H1fa zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H7 zenon_H1 zenon_H1f3 zenon_H174 zenon_H216 zenon_H7f zenon_H300 zenon_H2ff zenon_H2fe zenon_H163 zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H223 zenon_H92 zenon_H189 zenon_H74 zenon_Hba zenon_H190.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.37/1.51 apply (zenon_L998_); trivial.
% 1.37/1.51 apply (zenon_L990_); trivial.
% 1.37/1.51 (* end of lemma zenon_L1133_ *)
% 1.37/1.51 assert (zenon_L1134_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((hskp18)\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.37/1.51 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_Hef zenon_H189 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H163 zenon_H157 zenon_H174 zenon_H177 zenon_H307 zenon_Hd6 zenon_H300 zenon_H2ff zenon_H2fe zenon_Hb3 zenon_Ha2 zenon_H1f3 zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_H132 zenon_H133 zenon_H134 zenon_H1c7 zenon_H282 zenon_H281 zenon_H148 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H1ea zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H75 zenon_H1e7 zenon_H74 zenon_Hba.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.37/1.51 apply (zenon_L1131_); trivial.
% 1.37/1.51 apply (zenon_L150_); trivial.
% 1.37/1.51 (* end of lemma zenon_L1134_ *)
% 1.37/1.51 assert (zenon_L1135_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (ndr1_0) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a2528))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.37/1.51 do 0 intro. intros zenon_H74 zenon_H1e7 zenon_H75 zenon_H261 zenon_H262 zenon_H1ea zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H148 zenon_H146 zenon_H281 zenon_H282 zenon_H1c7 zenon_H134 zenon_H133 zenon_H132 zenon_H12 zenon_H11d zenon_H11b zenon_H10d zenon_H105 zenon_H103 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e5 zenon_Hb3.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.37/1.51 apply (zenon_L713_); trivial.
% 1.37/1.51 apply (zenon_L1071_); trivial.
% 1.37/1.51 (* end of lemma zenon_L1135_ *)
% 1.37/1.51 assert (zenon_L1136_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2521)) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c1_1 (a2528))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.37/1.51 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_Hba zenon_Hef zenon_H189 zenon_H18b zenon_H163 zenon_H216 zenon_H263 zenon_H300 zenon_H2ff zenon_H2fe zenon_H1f3 zenon_H174 zenon_Ha2 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H2d8 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H177 zenon_Hb3 zenon_H1e5 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H103 zenon_H105 zenon_H10d zenon_H11b zenon_H11d zenon_H132 zenon_H133 zenon_H134 zenon_H1c7 zenon_H282 zenon_H281 zenon_H148 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H1ea zenon_H262 zenon_H261 zenon_H75 zenon_H1e7 zenon_H74.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.37/1.51 apply (zenon_L1135_); trivial.
% 1.37/1.51 apply (zenon_L977_); trivial.
% 1.37/1.51 (* end of lemma zenon_L1136_ *)
% 1.37/1.51 assert (zenon_L1137_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (c3_1 (a2521)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (ndr1_0) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.37/1.51 do 0 intro. intros zenon_Hba zenon_H27a zenon_H68 zenon_H67 zenon_H66 zenon_H263 zenon_H1f3 zenon_Ha2 zenon_Hb3 zenon_H177 zenon_H20d zenon_H1fc zenon_H1fb zenon_H1fa zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H105 zenon_H103 zenon_H10d zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e5 zenon_H12 zenon_H132 zenon_H133 zenon_H134 zenon_H1c7 zenon_H282 zenon_H281 zenon_H146 zenon_H148 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H1ea zenon_H262 zenon_H261 zenon_H75 zenon_H1e7 zenon_H74.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.37/1.51 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.37/1.51 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.37/1.51 apply (zenon_L712_); trivial.
% 1.37/1.51 apply (zenon_L747_); trivial.
% 1.37/1.51 apply (zenon_L1071_); trivial.
% 1.37/1.51 apply (zenon_L1130_); trivial.
% 1.37/1.51 (* end of lemma zenon_L1137_ *)
% 1.37/1.51 assert (zenon_L1138_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.37/1.51 do 0 intro. intros zenon_Hb9 zenon_H54 zenon_H2da zenon_He8 zenon_H241 zenon_Hef zenon_Ha2 zenon_H27a zenon_H263 zenon_H262 zenon_H261 zenon_H144 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_Hdd zenon_H11d zenon_H11b zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H2d8 zenon_H225 zenon_H226 zenon_H227 zenon_H230 zenon_H177 zenon_H190.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.37/1.51 apply (zenon_L1025_); trivial.
% 1.37/1.51 apply (zenon_L878_); trivial.
% 1.37/1.51 (* end of lemma zenon_L1138_ *)
% 1.37/1.51 assert (zenon_L1139_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.37/1.51 do 0 intro. intros zenon_Hb9 zenon_H54 zenon_H2da zenon_He8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H241 zenon_Hef zenon_Ha2 zenon_H27a zenon_H263 zenon_H262 zenon_H261 zenon_H144 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_Hdd zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H225 zenon_H226 zenon_H227 zenon_H230 zenon_H177 zenon_H190.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.37/1.51 apply (zenon_L509_); trivial.
% 1.37/1.51 apply (zenon_L878_); trivial.
% 1.37/1.51 (* end of lemma zenon_L1139_ *)
% 1.37/1.51 assert (zenon_L1140_ : ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c1_1 (a2528))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> False).
% 1.37/1.51 do 0 intro. intros zenon_H101 zenon_Hb3 zenon_H1e5 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H103 zenon_H105 zenon_H10d zenon_H1c7 zenon_H282 zenon_H281 zenon_H1ea zenon_H75 zenon_H1e7 zenon_H74 zenon_H190 zenon_H177 zenon_H230 zenon_H227 zenon_H226 zenon_H225 zenon_H2d8 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H11b zenon_H11d zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H144 zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_Ha2 zenon_Hef zenon_H241 zenon_H2da zenon_H54 zenon_Hb9.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.37/1.51 apply (zenon_L1138_); trivial.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.37/1.51 apply (zenon_L1135_); trivial.
% 1.37/1.51 apply (zenon_L842_); trivial.
% 1.37/1.51 (* end of lemma zenon_L1140_ *)
% 1.37/1.51 assert (zenon_L1141_ : (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (ndr1_0) -> (~(c0_1 (a2522))) -> (~(c1_1 (a2522))) -> (c2_1 (a2522)) -> False).
% 1.37/1.51 do 0 intro. intros zenon_Ha3 zenon_H12 zenon_H2fe zenon_H309 zenon_H2ff.
% 1.37/1.51 generalize (zenon_Ha3 (a2522)). zenon_intro zenon_H30a.
% 1.37/1.51 apply (zenon_imply_s _ _ zenon_H30a); [ zenon_intro zenon_H11 | zenon_intro zenon_H30b ].
% 1.37/1.51 exact (zenon_H11 zenon_H12).
% 1.37/1.51 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H304 | zenon_intro zenon_H30c ].
% 1.37/1.51 exact (zenon_H2fe zenon_H304).
% 1.37/1.51 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H30d | zenon_intro zenon_H306 ].
% 1.37/1.51 exact (zenon_H309 zenon_H30d).
% 1.37/1.51 exact (zenon_H306 zenon_H2ff).
% 1.37/1.51 (* end of lemma zenon_L1141_ *)
% 1.37/1.51 assert (zenon_L1142_ : (forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))) -> (ndr1_0) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> False).
% 1.37/1.51 do 0 intro. intros zenon_H159 zenon_H12 zenon_Ha3 zenon_H2fe zenon_H2ff zenon_H300.
% 1.37/1.51 generalize (zenon_H159 (a2522)). zenon_intro zenon_H30e.
% 1.37/1.51 apply (zenon_imply_s _ _ zenon_H30e); [ zenon_intro zenon_H11 | zenon_intro zenon_H30f ].
% 1.37/1.51 exact (zenon_H11 zenon_H12).
% 1.37/1.51 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H309 | zenon_intro zenon_H303 ].
% 1.37/1.51 apply (zenon_L1141_); trivial.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H306 | zenon_intro zenon_H305 ].
% 1.37/1.51 exact (zenon_H306 zenon_H2ff).
% 1.37/1.51 exact (zenon_H305 zenon_H300).
% 1.37/1.51 (* end of lemma zenon_L1142_ *)
% 1.37/1.51 assert (zenon_L1143_ : ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (ndr1_0) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> False).
% 1.37/1.51 do 0 intro. intros zenon_H230 zenon_H182 zenon_H181 zenon_H180 zenon_H227 zenon_H226 zenon_H225 zenon_H12 zenon_Ha3 zenon_H2fe zenon_H2ff zenon_H300.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H118 | zenon_intro zenon_H231 ].
% 1.37/1.51 apply (zenon_L115_); trivial.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H154 | zenon_intro zenon_H159 ].
% 1.37/1.51 apply (zenon_L256_); trivial.
% 1.37/1.51 apply (zenon_L1142_); trivial.
% 1.37/1.51 (* end of lemma zenon_L1143_ *)
% 1.37/1.51 assert (zenon_L1144_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> False).
% 1.37/1.51 do 0 intro. intros zenon_H18d zenon_H1e5 zenon_H225 zenon_H226 zenon_H227 zenon_H230 zenon_H300 zenon_H2ff zenon_H2fe zenon_H1d7 zenon_H1d8 zenon_H1d9.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H1e6 ].
% 1.37/1.51 apply (zenon_L1143_); trivial.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1d6 ].
% 1.37/1.51 apply (zenon_L953_); trivial.
% 1.37/1.51 apply (zenon_L176_); trivial.
% 1.37/1.51 (* end of lemma zenon_L1144_ *)
% 1.37/1.51 assert (zenon_L1145_ : ((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> False).
% 1.37/1.51 do 0 intro. intros zenon_H12b zenon_H101 zenon_H2fe zenon_H2ff zenon_H300 zenon_Hb3 zenon_H105 zenon_H103 zenon_H10d zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e5 zenon_H1c7 zenon_H1ea zenon_H75 zenon_H1e7 zenon_H74 zenon_H190 zenon_H177 zenon_H230 zenon_H227 zenon_H226 zenon_H225 zenon_H1bc zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H144 zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_Ha2 zenon_Hef zenon_H241 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2da zenon_H54 zenon_Hb9.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.37/1.51 apply (zenon_L1139_); trivial.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.37/1.51 apply (zenon_L509_); trivial.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.37/1.51 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.37/1.51 apply (zenon_L1067_); trivial.
% 1.37/1.51 apply (zenon_L1071_); trivial.
% 1.37/1.51 apply (zenon_L1144_); trivial.
% 1.37/1.51 (* end of lemma zenon_L1145_ *)
% 1.37/1.51 assert (zenon_L1146_ : ((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((hskp23)\/(hskp27)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> (~(hskp16)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.37/1.51 do 0 intro. intros zenon_Hb2 zenon_H74 zenon_H1e7 zenon_H75 zenon_H261 zenon_H262 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1ea zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H289 zenon_H1f zenon_H1c7 zenon_H282 zenon_H281 zenon_H280 zenon_Hdd zenon_Hcb zenon_H1e9 zenon_H5 zenon_H1f3 zenon_Hef zenon_Hb3.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.37/1.51 apply (zenon_L666_); trivial.
% 1.37/1.51 apply (zenon_L1071_); trivial.
% 1.37/1.51 (* end of lemma zenon_L1146_ *)
% 1.37/1.51 assert (zenon_L1147_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> (~(hskp20)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (ndr1_0) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> False).
% 1.37/1.51 do 0 intro. intros zenon_H54 zenon_Ha2 zenon_H92 zenon_H1b3 zenon_H223 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H105 zenon_H103 zenon_H10d zenon_H146 zenon_H148 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H77 zenon_H1e0 zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_H12 zenon_H66 zenon_H67 zenon_H68 zenon_H225 zenon_H226 zenon_H227 zenon_H241.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.37/1.51 apply (zenon_L295_); trivial.
% 1.37/1.51 apply (zenon_L804_); trivial.
% 1.37/1.51 (* end of lemma zenon_L1147_ *)
% 1.37/1.51 assert (zenon_L1148_ : ((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> False).
% 1.37/1.51 do 0 intro. intros zenon_Hb2 zenon_Hb3 zenon_H1f3 zenon_H241 zenon_H227 zenon_H226 zenon_H225 zenon_H68 zenon_H67 zenon_H66 zenon_H27a zenon_H263 zenon_H262 zenon_H261 zenon_H1e0 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H148 zenon_H146 zenon_H10d zenon_H103 zenon_H105 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H223 zenon_H1b3 zenon_H92 zenon_Ha2 zenon_H54.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.37/1.51 apply (zenon_L1147_); trivial.
% 1.37/1.51 apply (zenon_L1092_); trivial.
% 1.37/1.51 (* end of lemma zenon_L1148_ *)
% 1.37/1.51 assert (zenon_L1149_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.37/1.51 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_Hef zenon_H189 zenon_H18b zenon_H163 zenon_H216 zenon_H300 zenon_H2ff zenon_H2fe zenon_H174 zenon_Hb3 zenon_H177 zenon_H20d zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H1e5 zenon_H241 zenon_H227 zenon_H226 zenon_H225 zenon_H27a zenon_H263 zenon_H262 zenon_H261 zenon_H1e0 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H148 zenon_H10d zenon_H103 zenon_H105 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H223 zenon_H1b3 zenon_H92 zenon_Ha2 zenon_H54 zenon_H1f3 zenon_Hba.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.37/1.51 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.37/1.51 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.37/1.51 apply (zenon_L1147_); trivial.
% 1.37/1.51 apply (zenon_L747_); trivial.
% 1.37/1.51 apply (zenon_L1148_); trivial.
% 1.37/1.51 apply (zenon_L989_); trivial.
% 1.37/1.51 (* end of lemma zenon_L1149_ *)
% 1.37/1.51 assert (zenon_L1150_ : ((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> (~(hskp10)) -> ((hskp23)\/(hskp27)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((hskp6)\/((hskp19)\/(hskp16))) -> (~(hskp6)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.37/1.51 do 0 intro. intros zenon_H1b8 zenon_Hb9 zenon_H2f4 zenon_H157 zenon_Hdd zenon_Hd9 zenon_Hd6 zenon_Hcb zenon_Hc5 zenon_H49 zenon_H2de zenon_H4b zenon_H3e zenon_H51 zenon_Hef zenon_H7 zenon_H1 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H129 zenon_H5f zenon_H2d8 zenon_H74.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.37/1.51 apply (zenon_L812_); trivial.
% 1.37/1.51 apply (zenon_L857_); trivial.
% 1.37/1.51 (* end of lemma zenon_L1150_ *)
% 1.37/1.51 assert (zenon_L1151_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32)))))) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (c0_1 (a2529)) -> (c2_1 (a2529)) -> (c3_1 (a2529)) -> False).
% 1.37/1.51 do 0 intro. intros zenon_H216 zenon_H105 zenon_H103 zenon_H10d zenon_H118 zenon_H23 zenon_H12 zenon_H40 zenon_H41 zenon_H42.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H217 ].
% 1.37/1.51 apply (zenon_L184_); trivial.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H14a | zenon_intro zenon_H3f ].
% 1.37/1.51 apply (zenon_L853_); trivial.
% 1.37/1.51 apply (zenon_L19_); trivial.
% 1.37/1.51 (* end of lemma zenon_L1151_ *)
% 1.37/1.51 assert (zenon_L1152_ : ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (c3_1 (a2529)) -> (c2_1 (a2529)) -> (c0_1 (a2529)) -> (forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32)))))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c2_1 (a2517)) -> (forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42)))))) -> (~(c3_1 (a2517))) -> (ndr1_0) -> (~(hskp4)) -> False).
% 1.37/1.51 do 0 intro. intros zenon_H129 zenon_H42 zenon_H41 zenon_H40 zenon_H118 zenon_H10d zenon_H103 zenon_H105 zenon_H216 zenon_H2c9 zenon_H2d0 zenon_H2c8 zenon_H12 zenon_H5f.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H23 | zenon_intro zenon_H12a ].
% 1.37/1.51 apply (zenon_L1151_); trivial.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H11f | zenon_intro zenon_H60 ].
% 1.37/1.51 apply (zenon_L810_); trivial.
% 1.37/1.51 exact (zenon_H5f zenon_H60).
% 1.37/1.51 (* end of lemma zenon_L1152_ *)
% 1.37/1.51 assert (zenon_L1153_ : ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a2517))) -> (~(hskp4)) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32)))))) -> (ndr1_0) -> (c0_1 (a2529)) -> (c2_1 (a2529)) -> (c3_1 (a2529)) -> False).
% 1.37/1.51 do 0 intro. intros zenon_H2d8 zenon_H2c7 zenon_H5f zenon_H2c8 zenon_H2c9 zenon_H129 zenon_H216 zenon_H105 zenon_H103 zenon_H10d zenon_H118 zenon_H12 zenon_H40 zenon_H41 zenon_H42.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2d9 ].
% 1.37/1.51 apply (zenon_L809_); trivial.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H23 ].
% 1.37/1.51 apply (zenon_L1152_); trivial.
% 1.37/1.51 apply (zenon_L1151_); trivial.
% 1.37/1.51 (* end of lemma zenon_L1153_ *)
% 1.37/1.51 assert (zenon_L1154_ : ((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(hskp8)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> False).
% 1.37/1.51 do 0 intro. intros zenon_H1b8 zenon_H51 zenon_H11d zenon_H11b zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H129 zenon_H5f zenon_H216 zenon_H2d8 zenon_H10d zenon_H103 zenon_H105 zenon_H112 zenon_H114 zenon_H116 zenon_H49 zenon_Hc5.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ].
% 1.37/1.51 apply (zenon_L53_); trivial.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H12. zenon_intro zenon_H4e.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H40. zenon_intro zenon_H4f.
% 1.37/1.51 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H41. zenon_intro zenon_H42.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H102 | zenon_intro zenon_H11e ].
% 1.37/1.51 apply (zenon_L79_); trivial.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H118 | zenon_intro zenon_H11c ].
% 1.37/1.51 apply (zenon_L1153_); trivial.
% 1.37/1.51 exact (zenon_H11b zenon_H11c).
% 1.37/1.51 (* end of lemma zenon_L1154_ *)
% 1.37/1.51 assert (zenon_L1155_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(hskp8)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (ndr1_0) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((hskp13)\/(hskp4))) -> False).
% 1.37/1.51 do 0 intro. intros zenon_H1d5 zenon_H51 zenon_H11d zenon_H11b zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H129 zenon_H216 zenon_H2d8 zenon_H10d zenon_H103 zenon_H105 zenon_H112 zenon_H114 zenon_H116 zenon_H49 zenon_Hc5 zenon_H12 zenon_H296 zenon_H297 zenon_H298 zenon_H5f zenon_H29f.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.37/1.51 apply (zenon_L529_); trivial.
% 1.37/1.51 apply (zenon_L1154_); trivial.
% 1.37/1.51 (* end of lemma zenon_L1155_ *)
% 1.37/1.51 assert (zenon_L1156_ : ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (~(hskp4)) -> (~(c3_1 (a2517))) -> (forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42)))))) -> (c2_1 (a2517)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (c0_1 (a2529)) -> (c2_1 (a2529)) -> (c3_1 (a2529)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (ndr1_0) -> (~(hskp24)) -> False).
% 1.37/1.51 do 0 intro. intros zenon_H18b zenon_H5f zenon_H2c8 zenon_H2d0 zenon_H2c9 zenon_H216 zenon_H105 zenon_H103 zenon_H10d zenon_H40 zenon_H41 zenon_H42 zenon_H129 zenon_H68 zenon_H67 zenon_H66 zenon_H12 zenon_H7b.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H118 | zenon_intro zenon_H18c ].
% 1.37/1.51 apply (zenon_L1152_); trivial.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H65 | zenon_intro zenon_H7c ].
% 1.37/1.51 apply (zenon_L29_); trivial.
% 1.37/1.51 exact (zenon_H7b zenon_H7c).
% 1.37/1.51 (* end of lemma zenon_L1156_ *)
% 1.37/1.51 assert (zenon_L1157_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(hskp29)) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (c0_1 (a2529)) -> (c2_1 (a2529)) -> (c3_1 (a2529)) -> False).
% 1.37/1.51 do 0 intro. intros zenon_H216 zenon_H150 zenon_H120 zenon_H121 zenon_H122 zenon_H10d zenon_H103 zenon_H105 zenon_H1bc zenon_H23 zenon_H12 zenon_H40 zenon_H41 zenon_H42.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H217 ].
% 1.37/1.51 apply (zenon_L316_); trivial.
% 1.37/1.51 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H14a | zenon_intro zenon_H3f ].
% 1.37/1.51 apply (zenon_L853_); trivial.
% 1.37/1.51 apply (zenon_L19_); trivial.
% 1.37/1.51 (* end of lemma zenon_L1157_ *)
% 1.37/1.51 assert (zenon_L1158_ : ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a2517))) -> (~(hskp24)) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(hskp29)) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (ndr1_0) -> (c0_1 (a2529)) -> (c2_1 (a2529)) -> (c3_1 (a2529)) -> False).
% 1.37/1.52 do 0 intro. intros zenon_H2d8 zenon_H2c7 zenon_H7b zenon_H66 zenon_H67 zenon_H68 zenon_H129 zenon_H2c9 zenon_H2c8 zenon_H5f zenon_H18b zenon_H216 zenon_H150 zenon_H120 zenon_H121 zenon_H122 zenon_H10d zenon_H103 zenon_H105 zenon_H1bc zenon_H12 zenon_H40 zenon_H41 zenon_H42.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2d9 ].
% 1.37/1.52 apply (zenon_L809_); trivial.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H23 ].
% 1.37/1.52 apply (zenon_L1156_); trivial.
% 1.37/1.52 apply (zenon_L1157_); trivial.
% 1.37/1.52 (* end of lemma zenon_L1158_ *)
% 1.37/1.52 assert (zenon_L1159_ : ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (c1_1 (a2597)) -> (c3_1 (a2597)) -> (c0_1 (a2597)) -> (forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp9)) -> False).
% 1.37/1.52 do 0 intro. intros zenon_H21 zenon_H168 zenon_H169 zenon_H167 zenon_H3f zenon_H12 zenon_H1d zenon_H1f.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H13 | zenon_intro zenon_H22 ].
% 1.37/1.52 apply (zenon_L282_); trivial.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H1e | zenon_intro zenon_H20 ].
% 1.37/1.52 exact (zenon_H1d zenon_H1e).
% 1.37/1.52 exact (zenon_H1f zenon_H20).
% 1.37/1.52 (* end of lemma zenon_L1159_ *)
% 1.37/1.52 assert (zenon_L1160_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(hskp24)) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2601)) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (c0_1 (a2601)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (c1_1 (a2597)) -> (c3_1 (a2597)) -> (c0_1 (a2597)) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp9)) -> False).
% 1.37/1.52 do 0 intro. intros zenon_H216 zenon_H7b zenon_H66 zenon_H67 zenon_H68 zenon_H10d zenon_H103 zenon_H105 zenon_H18b zenon_H1a5 zenon_H23 zenon_H1a4 zenon_H21 zenon_H168 zenon_H169 zenon_H167 zenon_H12 zenon_H1d zenon_H1f.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H217 ].
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H118 | zenon_intro zenon_H18c ].
% 1.37/1.52 apply (zenon_L184_); trivial.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H65 | zenon_intro zenon_H7c ].
% 1.37/1.52 apply (zenon_L29_); trivial.
% 1.37/1.52 exact (zenon_H7b zenon_H7c).
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H14a | zenon_intro zenon_H3f ].
% 1.37/1.52 apply (zenon_L545_); trivial.
% 1.37/1.52 apply (zenon_L1159_); trivial.
% 1.37/1.52 (* end of lemma zenon_L1160_ *)
% 1.37/1.52 assert (zenon_L1161_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c0_1 (a2601)) -> (c3_1 (a2601)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> (~(hskp30)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (c0_1 (a2529)) -> (c3_1 (a2529)) -> (c2_1 (a2529)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> (~(hskp24)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (ndr1_0) -> (c1_1 (a2556)) -> (c2_1 (a2556)) -> (c3_1 (a2556)) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> False).
% 1.37/1.52 do 0 intro. intros zenon_H174 zenon_H2d8 zenon_H1a4 zenon_H1a5 zenon_H21 zenon_H1f zenon_H1d zenon_H129 zenon_H5f zenon_H10d zenon_H103 zenon_H105 zenon_H40 zenon_H42 zenon_H41 zenon_H216 zenon_H66 zenon_H67 zenon_H68 zenon_H7b zenon_H18b zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H12 zenon_H15a zenon_H15b zenon_H15c zenon_Hc7 zenon_H163.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H164 | zenon_intro zenon_H170 ].
% 1.37/1.52 apply (zenon_L107_); trivial.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H167. zenon_intro zenon_H172.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H168. zenon_intro zenon_H169.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2d9 ].
% 1.37/1.52 apply (zenon_L809_); trivial.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H23 ].
% 1.37/1.52 apply (zenon_L1156_); trivial.
% 1.37/1.52 apply (zenon_L1160_); trivial.
% 1.37/1.52 (* end of lemma zenon_L1161_ *)
% 1.37/1.52 assert (zenon_L1162_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(hskp23)) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (~(hskp24)) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> (ndr1_0) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(hskp21)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> False).
% 1.37/1.52 do 0 intro. intros zenon_H1b7 zenon_H177 zenon_H163 zenon_Hc7 zenon_H1f zenon_H21 zenon_H174 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H18b zenon_H7b zenon_H68 zenon_H67 zenon_H66 zenon_H216 zenon_H105 zenon_H103 zenon_H10d zenon_H5f zenon_H129 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H2d8 zenon_Hc5 zenon_H49 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H12 zenon_H1a2 zenon_H9 zenon_H4b zenon_H3e zenon_H51.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1b2 ].
% 1.37/1.52 apply (zenon_L141_); trivial.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H12. zenon_intro zenon_H1b4.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H1a4. zenon_intro zenon_H1b5.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H1a5. zenon_intro zenon_H1a6.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ].
% 1.37/1.52 apply (zenon_L53_); trivial.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H12. zenon_intro zenon_H4e.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H40. zenon_intro zenon_H4f.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H41. zenon_intro zenon_H42.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.37/1.52 apply (zenon_L1158_); trivial.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H1d | zenon_intro zenon_H39 ].
% 1.37/1.52 apply (zenon_L1161_); trivial.
% 1.37/1.52 apply (zenon_L21_); trivial.
% 1.37/1.52 (* end of lemma zenon_L1162_ *)
% 1.37/1.52 assert (zenon_L1163_ : ((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (c2_1 (a2549)) -> (~(c1_1 (a2549))) -> (~(c0_1 (a2549))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (~(hskp24)) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> False).
% 1.37/1.52 do 0 intro. intros zenon_H4d zenon_H177 zenon_Hae zenon_H49 zenon_H4b zenon_Ha6 zenon_Ha5 zenon_Ha4 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H18b zenon_H7b zenon_H68 zenon_H67 zenon_H66 zenon_H216 zenon_H105 zenon_H103 zenon_H10d zenon_H5f zenon_H129 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H2d8.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H12. zenon_intro zenon_H4e.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H40. zenon_intro zenon_H4f.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H41. zenon_intro zenon_H42.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.37/1.52 apply (zenon_L1158_); trivial.
% 1.37/1.52 apply (zenon_L161_); trivial.
% 1.37/1.52 (* end of lemma zenon_L1163_ *)
% 1.37/1.52 assert (zenon_L1164_ : ((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((hskp21)\/(hskp22))) -> (~(hskp22)) -> (~(hskp21)) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> False).
% 1.37/1.52 do 0 intro. intros zenon_H9f zenon_H92 zenon_H2f5 zenon_H2dc zenon_H9 zenon_H49 zenon_H9d.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.37/1.52 apply (zenon_L44_); trivial.
% 1.37/1.52 apply (zenon_L863_); trivial.
% 1.37/1.52 (* end of lemma zenon_L1164_ *)
% 1.37/1.52 assert (zenon_L1165_ : ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (c2_1 (a2552)) -> (~(c3_1 (a2552))) -> (~(c1_1 (a2552))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(hskp29)) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (ndr1_0) -> (c0_1 (a2529)) -> (c2_1 (a2529)) -> (c3_1 (a2529)) -> False).
% 1.37/1.52 do 0 intro. intros zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H2e2 zenon_H2e1 zenon_H2e0 zenon_H216 zenon_H150 zenon_H120 zenon_H121 zenon_H122 zenon_H10d zenon_H103 zenon_H105 zenon_H1bc zenon_H12 zenon_H40 zenon_H41 zenon_H42.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2d9 ].
% 1.37/1.52 apply (zenon_L809_); trivial.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H23 ].
% 1.37/1.52 apply (zenon_L851_); trivial.
% 1.37/1.52 apply (zenon_L1157_); trivial.
% 1.37/1.52 (* end of lemma zenon_L1165_ *)
% 1.37/1.52 assert (zenon_L1166_ : ((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (c2_1 (a2549)) -> (~(c1_1 (a2549))) -> (~(c0_1 (a2549))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> (~(c1_1 (a2552))) -> (~(c3_1 (a2552))) -> (c2_1 (a2552)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> False).
% 1.37/1.52 do 0 intro. intros zenon_H4d zenon_H177 zenon_Hae zenon_H49 zenon_H4b zenon_Ha6 zenon_Ha5 zenon_Ha4 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2e0 zenon_H2e1 zenon_H2e2 zenon_H216 zenon_H10d zenon_H103 zenon_H105 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H2d8.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H12. zenon_intro zenon_H4e.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H40. zenon_intro zenon_H4f.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H41. zenon_intro zenon_H42.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.37/1.52 apply (zenon_L1165_); trivial.
% 1.37/1.52 apply (zenon_L161_); trivial.
% 1.37/1.52 (* end of lemma zenon_L1166_ *)
% 1.37/1.52 assert (zenon_L1167_ : ((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (c2_1 (a2549)) -> (~(c1_1 (a2549))) -> (~(c0_1 (a2549))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> False).
% 1.37/1.52 do 0 intro. intros zenon_H2f1 zenon_H51 zenon_H177 zenon_Hae zenon_H4b zenon_Ha6 zenon_Ha5 zenon_Ha4 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H216 zenon_H10d zenon_H103 zenon_H105 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H2d8 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H49 zenon_Hc5.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H12. zenon_intro zenon_H2f2.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H2e2. zenon_intro zenon_H2f3.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H2e0. zenon_intro zenon_H2e1.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ].
% 1.37/1.52 apply (zenon_L53_); trivial.
% 1.37/1.52 apply (zenon_L1166_); trivial.
% 1.37/1.52 (* end of lemma zenon_L1167_ *)
% 1.37/1.52 assert (zenon_L1168_ : ((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> (~(hskp14)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((hskp21)\/(hskp22))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> False).
% 1.37/1.52 do 0 intro. intros zenon_Had zenon_H54 zenon_H2da zenon_He8 zenon_Ha2 zenon_H92 zenon_H2f5 zenon_H9d zenon_Hc5 zenon_H49 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H2d8 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H129 zenon_H5f zenon_H10d zenon_H103 zenon_H105 zenon_H216 zenon_H66 zenon_H67 zenon_H68 zenon_H18b zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H4b zenon_Hae zenon_H177 zenon_H51 zenon_H2f4.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2f1 ].
% 1.37/1.52 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ].
% 1.37/1.52 apply (zenon_L53_); trivial.
% 1.37/1.52 apply (zenon_L1163_); trivial.
% 1.37/1.52 apply (zenon_L1164_); trivial.
% 1.37/1.52 apply (zenon_L1167_); trivial.
% 1.37/1.52 apply (zenon_L831_); trivial.
% 1.37/1.52 (* end of lemma zenon_L1168_ *)
% 1.37/1.52 assert (zenon_L1169_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(hskp23)) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (~(hskp24)) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(hskp21)) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> False).
% 1.37/1.52 do 0 intro. intros zenon_H1b7 zenon_H51 zenon_H177 zenon_H163 zenon_Hc7 zenon_H1f zenon_H21 zenon_H174 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H18b zenon_H7b zenon_H68 zenon_H67 zenon_H66 zenon_H216 zenon_H105 zenon_H103 zenon_H10d zenon_H5f zenon_H129 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H2d8 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H49 zenon_Hc5 zenon_H1a2 zenon_H9 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1b2 ].
% 1.37/1.52 apply (zenon_L552_); trivial.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H12. zenon_intro zenon_H1b4.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H1a4. zenon_intro zenon_H1b5.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H1a5. zenon_intro zenon_H1a6.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ].
% 1.37/1.52 apply (zenon_L53_); trivial.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H12. zenon_intro zenon_H4e.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H40. zenon_intro zenon_H4f.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H41. zenon_intro zenon_H42.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.37/1.52 apply (zenon_L1158_); trivial.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H1d | zenon_intro zenon_H39 ].
% 1.37/1.52 apply (zenon_L1161_); trivial.
% 1.37/1.52 apply (zenon_L551_); trivial.
% 1.37/1.52 (* end of lemma zenon_L1169_ *)
% 1.37/1.52 assert (zenon_L1170_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (c3_1 (a2529)) -> (c2_1 (a2529)) -> (c0_1 (a2529)) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(hskp4)) -> (~(c0_1 (a2517))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (ndr1_0) -> (~(c1_1 (a2553))) -> (~(c3_1 (a2553))) -> (c0_1 (a2553)) -> False).
% 1.37/1.52 do 0 intro. intros zenon_H189 zenon_H122 zenon_H121 zenon_H2d zenon_H42 zenon_H41 zenon_H40 zenon_H10d zenon_H103 zenon_H105 zenon_H216 zenon_H129 zenon_H2c9 zenon_H2c8 zenon_H5f zenon_H2c7 zenon_H2d8 zenon_H12 zenon_Hdf zenon_He0 zenon_He1.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H55 | zenon_intro zenon_H18a ].
% 1.37/1.52 apply (zenon_L158_); trivial.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H118 | zenon_intro zenon_Hde ].
% 1.37/1.52 apply (zenon_L1153_); trivial.
% 1.37/1.52 apply (zenon_L63_); trivial.
% 1.37/1.52 (* end of lemma zenon_L1170_ *)
% 1.37/1.52 assert (zenon_L1171_ : ((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> False).
% 1.37/1.52 do 0 intro. intros zenon_Hea zenon_H51 zenon_H2b4 zenon_H121 zenon_H122 zenon_H2d8 zenon_H216 zenon_H105 zenon_H103 zenon_H10d zenon_H5f zenon_H129 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H189 zenon_H298 zenon_H297 zenon_H296 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H49 zenon_Hc5.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ].
% 1.37/1.52 apply (zenon_L53_); trivial.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H12. zenon_intro zenon_H4e.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H40. zenon_intro zenon_H4f.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H41. zenon_intro zenon_H42.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H2b5 ].
% 1.37/1.52 apply (zenon_L71_); trivial.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H295 | zenon_intro zenon_H2d ].
% 1.37/1.52 apply (zenon_L528_); trivial.
% 1.37/1.52 apply (zenon_L1170_); trivial.
% 1.37/1.52 (* end of lemma zenon_L1171_ *)
% 1.37/1.52 assert (zenon_L1172_ : ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((hskp21)\/(hskp22))) -> (~(hskp17)) -> (ndr1_0) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp21)) -> (~(hskp22)) -> False).
% 1.37/1.52 do 0 intro. intros zenon_H2f5 zenon_H146 zenon_H12 zenon_H66 zenon_H67 zenon_H68 zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_H9 zenon_H2dc.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H81 | zenon_intro zenon_H2f6 ].
% 1.37/1.52 apply (zenon_L679_); trivial.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H2f6); [ zenon_intro zenon_Ha | zenon_intro zenon_H2dd ].
% 1.37/1.52 exact (zenon_H9 zenon_Ha).
% 1.37/1.52 exact (zenon_H2dc zenon_H2dd).
% 1.37/1.52 (* end of lemma zenon_L1172_ *)
% 1.37/1.52 assert (zenon_L1173_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((hskp21)\/(hskp22))) -> (ndr1_0) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> False).
% 1.37/1.52 do 0 intro. intros zenon_H54 zenon_H2da zenon_He8 zenon_H2f5 zenon_H12 zenon_H132 zenon_H133 zenon_H134 zenon_H66 zenon_H67 zenon_H68 zenon_H146 zenon_H148 zenon_Hc5 zenon_H49 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_Hd6 zenon_H157 zenon_H51 zenon_H2f4.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2f1 ].
% 1.37/1.52 apply (zenon_L1172_); trivial.
% 1.37/1.52 apply (zenon_L856_); trivial.
% 1.37/1.52 apply (zenon_L831_); trivial.
% 1.37/1.52 (* end of lemma zenon_L1173_ *)
% 1.37/1.52 assert (zenon_L1174_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((hskp21)\/(hskp22))) -> (~(hskp14)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> False).
% 1.37/1.52 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_Hef zenon_H189 zenon_H11d zenon_H11b zenon_H1bc zenon_H163 zenon_H174 zenon_H177 zenon_H2f4 zenon_H51 zenon_H157 zenon_Hd6 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2d8 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H49 zenon_Hc5 zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_H2f5 zenon_He8 zenon_H2da zenon_H54.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.37/1.52 apply (zenon_L1173_); trivial.
% 1.37/1.52 apply (zenon_L816_); trivial.
% 1.37/1.52 (* end of lemma zenon_L1174_ *)
% 1.37/1.52 assert (zenon_L1175_ : ((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> (~(hskp22)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> False).
% 1.37/1.52 do 0 intro. intros zenon_Hea zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H2dc zenon_H2de.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H1d | zenon_intro zenon_H39 ].
% 1.37/1.52 apply (zenon_L849_); trivial.
% 1.37/1.52 apply (zenon_L551_); trivial.
% 1.37/1.52 (* end of lemma zenon_L1175_ *)
% 1.37/1.52 assert (zenon_L1176_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> (~(hskp22)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> False).
% 1.37/1.52 do 0 intro. intros zenon_Hef zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H2dc zenon_H2de zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H146 zenon_H148 zenon_Hdd.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.37/1.52 apply (zenon_L100_); trivial.
% 1.37/1.52 apply (zenon_L1175_); trivial.
% 1.37/1.52 (* end of lemma zenon_L1176_ *)
% 1.37/1.52 assert (zenon_L1177_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.37/1.52 do 0 intro. intros zenon_H2f4 zenon_H51 zenon_H157 zenon_Hd6 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2d8 zenon_H68 zenon_H67 zenon_H66 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H49 zenon_Hc5 zenon_Hdd zenon_H148 zenon_H146 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H2de zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_Hef.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2f1 ].
% 1.37/1.52 apply (zenon_L1176_); trivial.
% 1.37/1.52 apply (zenon_L856_); trivial.
% 1.37/1.52 (* end of lemma zenon_L1177_ *)
% 1.37/1.52 assert (zenon_L1178_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> False).
% 1.37/1.52 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_H189 zenon_H11d zenon_H11b zenon_H1bc zenon_H163 zenon_H174 zenon_H177 zenon_Hef zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H2de zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_Hdd zenon_Hc5 zenon_H49 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_Hd6 zenon_H157 zenon_H51 zenon_H2f4.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.37/1.52 apply (zenon_L1177_); trivial.
% 1.37/1.52 apply (zenon_L816_); trivial.
% 1.37/1.52 (* end of lemma zenon_L1178_ *)
% 1.37/1.52 assert (zenon_L1179_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((hskp6)\/((hskp19)\/(hskp16))) -> (~(hskp6)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.37/1.52 do 0 intro. intros zenon_Hfe zenon_Hb9 zenon_H190 zenon_H189 zenon_H11d zenon_H11b zenon_H1bc zenon_H163 zenon_H174 zenon_H177 zenon_Hef zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_H2de zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_Hdd zenon_Hc5 zenon_H49 zenon_Hbe zenon_Hbd zenon_Hbc zenon_Hd6 zenon_H157 zenon_H51 zenon_H2f4 zenon_H7 zenon_H1 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H129 zenon_H5f zenon_H2d8 zenon_H74.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.37/1.52 apply (zenon_L812_); trivial.
% 1.37/1.52 apply (zenon_L1178_); trivial.
% 1.37/1.52 (* end of lemma zenon_L1179_ *)
% 1.37/1.52 assert (zenon_L1180_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((hskp21)\/(hskp22))) -> (~(hskp14)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((hskp6)\/((hskp19)\/(hskp16))) -> (~(hskp6)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.37/1.52 do 0 intro. intros zenon_Hb9 zenon_H190 zenon_Hef zenon_H189 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H163 zenon_H174 zenon_H177 zenon_H2f4 zenon_H51 zenon_H157 zenon_Hd6 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H49 zenon_Hc5 zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_H2f5 zenon_He8 zenon_H2da zenon_H54 zenon_H7 zenon_H1 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H129 zenon_H5f zenon_H2d8 zenon_H74.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.37/1.52 apply (zenon_L812_); trivial.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.37/1.52 apply (zenon_L1173_); trivial.
% 1.37/1.52 apply (zenon_L150_); trivial.
% 1.37/1.52 (* end of lemma zenon_L1180_ *)
% 1.37/1.52 assert (zenon_L1181_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((hskp21)\/(hskp22))) -> (c0_1 (a2540)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> (ndr1_0) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(hskp19)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> False).
% 1.37/1.52 do 0 intro. intros zenon_Hb3 zenon_H54 zenon_H2da zenon_He8 zenon_H2f5 zenon_H68 zenon_Hc5 zenon_H49 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H2d8 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H105 zenon_H103 zenon_H10d zenon_H216 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H4b zenon_Hae zenon_H177 zenon_H51 zenon_H2f4 zenon_H12 zenon_H132 zenon_H133 zenon_H134 zenon_H1c7 zenon_H3 zenon_H67 zenon_H66 zenon_H146 zenon_H148.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.37/1.52 apply (zenon_L155_); trivial.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2f1 ].
% 1.37/1.52 apply (zenon_L1172_); trivial.
% 1.37/1.52 apply (zenon_L1167_); trivial.
% 1.37/1.52 apply (zenon_L831_); trivial.
% 1.37/1.52 (* end of lemma zenon_L1181_ *)
% 1.37/1.52 assert (zenon_L1182_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (ndr1_0) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (c0_1 (a2540)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((hskp21)\/(hskp22))) -> (~(hskp14)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.37/1.52 do 0 intro. intros zenon_H74 zenon_H5f zenon_H129 zenon_H148 zenon_H146 zenon_H66 zenon_H67 zenon_H1c7 zenon_H134 zenon_H133 zenon_H132 zenon_H12 zenon_H2f4 zenon_H51 zenon_H177 zenon_Hae zenon_H4b zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H216 zenon_H10d zenon_H103 zenon_H105 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H2d8 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H49 zenon_Hc5 zenon_H68 zenon_H2f5 zenon_He8 zenon_H2da zenon_H54 zenon_Hb3.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.37/1.52 apply (zenon_L1181_); trivial.
% 1.37/1.52 apply (zenon_L811_); trivial.
% 1.37/1.52 (* end of lemma zenon_L1182_ *)
% 1.37/1.52 assert (zenon_L1183_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> (~(hskp7)) -> (~(hskp8)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((hskp21)\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((hskp6)\/((hskp19)\/(hskp16))) -> (~(hskp6)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.37/1.52 do 0 intro. intros zenon_Hb9 zenon_H190 zenon_Hef zenon_H189 zenon_H18b zenon_H163 zenon_H116 zenon_H114 zenon_H112 zenon_H1b3 zenon_H174 zenon_Ha2 zenon_Hb3 zenon_H54 zenon_H2da zenon_He8 zenon_H2f5 zenon_Hc5 zenon_H49 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H105 zenon_H103 zenon_H10d zenon_H216 zenon_H4b zenon_Hae zenon_H177 zenon_H51 zenon_H2f4 zenon_H132 zenon_H133 zenon_H134 zenon_H1c7 zenon_H148 zenon_H7 zenon_H1 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H129 zenon_H5f zenon_H2d8 zenon_H74.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.37/1.52 apply (zenon_L812_); trivial.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.37/1.52 apply (zenon_L1182_); trivial.
% 1.37/1.52 apply (zenon_L173_); trivial.
% 1.37/1.52 (* end of lemma zenon_L1183_ *)
% 1.37/1.52 assert (zenon_L1184_ : ((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.37/1.52 do 0 intro. intros zenon_H71 zenon_H2f4 zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_Hdd zenon_H148 zenon_H146 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H2de zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_Hef.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2f1 ].
% 1.37/1.52 apply (zenon_L1176_); trivial.
% 1.37/1.52 apply (zenon_L897_); trivial.
% 1.37/1.52 (* end of lemma zenon_L1184_ *)
% 1.37/1.52 assert (zenon_L1185_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((hskp23)\/(hskp27)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (ndr1_0) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.37/1.52 do 0 intro. intros zenon_H74 zenon_H2f4 zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_Hdd zenon_Hcb zenon_H2de zenon_H3e zenon_Hef zenon_H148 zenon_H146 zenon_H66 zenon_H67 zenon_H1c7 zenon_H134 zenon_H133 zenon_H132 zenon_H12 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_Hae zenon_H49 zenon_H122 zenon_H121 zenon_H2b4 zenon_Hb3.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.37/1.52 apply (zenon_L570_); trivial.
% 1.37/1.52 apply (zenon_L1184_); trivial.
% 1.37/1.52 (* end of lemma zenon_L1185_ *)
% 1.37/1.52 assert (zenon_L1186_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(c3_1 (a2531))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> (~(hskp7)) -> (~(hskp8)) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> (~(hskp3)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((hskp23)\/(hskp27)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((hskp6)\/((hskp19)\/(hskp16))) -> (~(hskp6)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.37/1.52 do 0 intro. intros zenon_Hfe zenon_Hb9 zenon_H190 zenon_H189 zenon_H18b zenon_H1bc zenon_H120 zenon_H163 zenon_H116 zenon_H114 zenon_H112 zenon_H105 zenon_H103 zenon_H10d zenon_H1b3 zenon_H174 zenon_H177 zenon_Ha2 zenon_Hb3 zenon_H2b4 zenon_H121 zenon_H122 zenon_H49 zenon_Hae zenon_H298 zenon_H297 zenon_H296 zenon_H132 zenon_H133 zenon_H134 zenon_H1c7 zenon_H148 zenon_Hef zenon_H3e zenon_H2de zenon_Hcb zenon_Hdd zenon_H2f4 zenon_H7 zenon_H1 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H129 zenon_H5f zenon_H2d8 zenon_H74.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.37/1.52 apply (zenon_L812_); trivial.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.37/1.52 apply (zenon_L1185_); trivial.
% 1.37/1.52 apply (zenon_L173_); trivial.
% 1.37/1.52 (* end of lemma zenon_L1186_ *)
% 1.37/1.52 assert (zenon_L1187_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c1_1 (a2533))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> (~(hskp14)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((hskp6)\/((hskp19)\/(hskp16))) -> (~(hskp6)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.37/1.52 do 0 intro. intros zenon_Hb9 zenon_H1c7 zenon_H2a7 zenon_H2a6 zenon_H2a5 zenon_H1b7 zenon_H1ea zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_Hd6 zenon_H157 zenon_Hc5 zenon_H49 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H1a2 zenon_H4b zenon_H3e zenon_H51 zenon_He8 zenon_H2da zenon_H54 zenon_Hb3 zenon_H7 zenon_H1 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H129 zenon_H5f zenon_H2d8 zenon_H74.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.37/1.52 apply (zenon_L812_); trivial.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.37/1.52 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.37/1.52 apply (zenon_L534_); trivial.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.37/1.52 apply (zenon_L547_); trivial.
% 1.37/1.52 apply (zenon_L831_); trivial.
% 1.37/1.52 apply (zenon_L811_); trivial.
% 1.37/1.52 (* end of lemma zenon_L1187_ *)
% 1.37/1.52 assert (zenon_L1188_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c1_1 (a2533))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.37/1.52 do 0 intro. intros zenon_Hb6 zenon_H74 zenon_H2d8 zenon_H5f zenon_H129 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H1c7 zenon_H2a7 zenon_H2a6 zenon_H2a5 zenon_H1b7 zenon_H1ea zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_Hd6 zenon_H157 zenon_Hc5 zenon_H49 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H1a2 zenon_H4b zenon_H3e zenon_H51 zenon_H21 zenon_H1f zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H54 zenon_Hb3.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.37/1.52 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.37/1.52 apply (zenon_L534_); trivial.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.37/1.52 apply (zenon_L547_); trivial.
% 1.37/1.52 apply (zenon_L553_); trivial.
% 1.37/1.52 apply (zenon_L811_); trivial.
% 1.37/1.52 (* end of lemma zenon_L1188_ *)
% 1.37/1.52 assert (zenon_L1189_ : ((ndr1_0)/\((~(c1_1 (a2533)))/\((~(c2_1 (a2533)))/\(~(c3_1 (a2533)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a2528))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.37/1.52 do 0 intro. intros zenon_H2af zenon_H74 zenon_H2d8 zenon_H5f zenon_H129 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H1c7 zenon_H11d zenon_H11b zenon_H10d zenon_H105 zenon_H103 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e5 zenon_Hb3.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.37/1.52 apply (zenon_L584_); trivial.
% 1.37/1.52 apply (zenon_L811_); trivial.
% 1.37/1.52 (* end of lemma zenon_L1189_ *)
% 1.37/1.52 assert (zenon_L1190_ : ((~(hskp12))\/((ndr1_0)/\((~(c1_1 (a2533)))/\((~(c2_1 (a2533)))/\(~(c3_1 (a2533))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a2528))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> (ndr1_0) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp12))) -> False).
% 1.37/1.52 do 0 intro. intros zenon_H2ae zenon_H74 zenon_H2d8 zenon_H5f zenon_H129 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H1c7 zenon_H11d zenon_H11b zenon_H10d zenon_H105 zenon_H103 zenon_H1e5 zenon_Hb3 zenon_H12 zenon_H296 zenon_H297 zenon_H298 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H2a3.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.37/1.52 apply (zenon_L532_); trivial.
% 1.37/1.52 apply (zenon_L1189_); trivial.
% 1.37/1.52 (* end of lemma zenon_L1190_ *)
% 1.37/1.52 assert (zenon_L1191_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c1_1 (a2533))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp14)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((hskp6)\/((hskp19)\/(hskp16))) -> (~(hskp6)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.37/1.52 do 0 intro. intros zenon_Hb9 zenon_H1c7 zenon_H2a7 zenon_H2a6 zenon_H2a5 zenon_H2f4 zenon_H51 zenon_H177 zenon_Hae zenon_H4b zenon_H18b zenon_H216 zenon_H105 zenon_H103 zenon_H10d zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_Hbc zenon_Hbd zenon_Hbe zenon_H49 zenon_Hc5 zenon_H9d zenon_H2f5 zenon_H92 zenon_Ha2 zenon_He8 zenon_H2da zenon_H54 zenon_Hb3 zenon_H7 zenon_H1 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H129 zenon_H5f zenon_H2d8 zenon_H74.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.37/1.52 apply (zenon_L812_); trivial.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.37/1.52 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.37/1.52 apply (zenon_L534_); trivial.
% 1.37/1.52 apply (zenon_L1168_); trivial.
% 1.37/1.52 apply (zenon_L811_); trivial.
% 1.37/1.52 (* end of lemma zenon_L1191_ *)
% 1.37/1.52 assert (zenon_L1192_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c1_1 (a2533))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.37/1.52 do 0 intro. intros zenon_Hfe zenon_H74 zenon_H2d8 zenon_H5f zenon_H129 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H1c7 zenon_H2a7 zenon_H2a6 zenon_H2a5 zenon_H296 zenon_H297 zenon_H298 zenon_Hae zenon_H49 zenon_H122 zenon_H121 zenon_H2b4 zenon_Hb3.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.37/1.52 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.37/1.52 apply (zenon_L534_); trivial.
% 1.37/1.52 apply (zenon_L569_); trivial.
% 1.37/1.52 apply (zenon_L811_); trivial.
% 1.37/1.52 (* end of lemma zenon_L1192_ *)
% 1.37/1.52 assert (zenon_L1193_ : ((ndr1_0)/\((~(c1_1 (a2533)))/\((~(c2_1 (a2533)))/\(~(c3_1 (a2533)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(hskp6)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((hskp21)\/(hskp22))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((hskp13)\/(hskp4))) -> False).
% 1.37/1.52 do 0 intro. intros zenon_H2af zenon_H1d5 zenon_H101 zenon_H2b4 zenon_H74 zenon_H2d8 zenon_H129 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H1 zenon_H7 zenon_Hb3 zenon_H54 zenon_H2da zenon_Ha2 zenon_H92 zenon_H2f5 zenon_H9d zenon_Hc5 zenon_H49 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H10d zenon_H103 zenon_H105 zenon_H216 zenon_H18b zenon_H4b zenon_Hae zenon_H177 zenon_H51 zenon_H2f4 zenon_H1c7 zenon_Hb9 zenon_H296 zenon_H297 zenon_H298 zenon_H5f zenon_H29f.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.37/1.52 apply (zenon_L529_); trivial.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.37/1.52 apply (zenon_L1191_); trivial.
% 1.37/1.52 apply (zenon_L1192_); trivial.
% 1.37/1.52 (* end of lemma zenon_L1193_ *)
% 1.37/1.52 assert (zenon_L1194_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c1_1 (a2533))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.37/1.52 do 0 intro. intros zenon_H18d zenon_H74 zenon_H5f zenon_H129 zenon_H1c7 zenon_H2a7 zenon_H2a6 zenon_H2a5 zenon_H18b zenon_H68 zenon_H67 zenon_H66 zenon_H11d zenon_H11b zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H2d8 zenon_H1ea zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H1b3 zenon_H1f3 zenon_H177 zenon_Ha2 zenon_Hb3.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.37/1.52 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.37/1.52 apply (zenon_L534_); trivial.
% 1.37/1.52 apply (zenon_L1035_); trivial.
% 1.37/1.52 apply (zenon_L811_); trivial.
% 1.37/1.52 (* end of lemma zenon_L1194_ *)
% 1.37/1.52 assert (zenon_L1195_ : ((ndr1_0)/\((~(c1_1 (a2533)))/\((~(c2_1 (a2533)))/\(~(c3_1 (a2533)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(hskp6)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((hskp21)\/(hskp22))) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((hskp13)\/(hskp4))) -> False).
% 1.37/1.52 do 0 intro. intros zenon_H2af zenon_H1d5 zenon_H101 zenon_H1c7 zenon_Hae zenon_H2b4 zenon_Hb3 zenon_H74 zenon_H2d8 zenon_H129 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H1 zenon_H7 zenon_H54 zenon_H2da zenon_H2f5 zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_Hc5 zenon_H49 zenon_Hd6 zenon_H157 zenon_H51 zenon_H2f4 zenon_H177 zenon_H174 zenon_H163 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H189 zenon_Hef zenon_H190 zenon_Hb9 zenon_H296 zenon_H297 zenon_H298 zenon_H5f zenon_H29f.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.37/1.52 apply (zenon_L529_); trivial.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.37/1.52 apply (zenon_L1180_); trivial.
% 1.37/1.52 apply (zenon_L1192_); trivial.
% 1.37/1.52 (* end of lemma zenon_L1195_ *)
% 1.37/1.52 assert (zenon_L1196_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c1_1 (a2533))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.37/1.52 do 0 intro. intros zenon_H18d zenon_H74 zenon_H2d8 zenon_H5f zenon_H129 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H1c7 zenon_H2a7 zenon_H2a6 zenon_H2a5 zenon_H18b zenon_H68 zenon_H67 zenon_H66 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H1ea zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H1b3 zenon_H1f3 zenon_H177 zenon_Ha2 zenon_Hb3.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.37/1.52 apply (zenon_L624_); trivial.
% 1.37/1.52 apply (zenon_L811_); trivial.
% 1.37/1.52 (* end of lemma zenon_L1196_ *)
% 1.37/1.52 assert (zenon_L1197_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (ndr1_0) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (~(hskp18)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> False).
% 1.37/1.52 do 0 intro. intros zenon_H54 zenon_H2da zenon_He8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H51 zenon_H3e zenon_H4b zenon_H1a2 zenon_H12 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H49 zenon_Hc5 zenon_H152 zenon_Hd6 zenon_H227 zenon_H226 zenon_H225 zenon_H20d zenon_Hb zenon_H230 zenon_H177 zenon_H1b7.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.37/1.52 apply (zenon_L305_); trivial.
% 1.37/1.52 apply (zenon_L831_); trivial.
% 1.37/1.52 (* end of lemma zenon_L1197_ *)
% 1.37/1.52 assert (zenon_L1198_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> (~(hskp15)) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> (~(hskp10)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> (ndr1_0) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> (~(hskp14)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> False).
% 1.37/1.52 do 0 intro. intros zenon_Hba zenon_H63 zenon_H61 zenon_H5f zenon_H1b7 zenon_H177 zenon_H230 zenon_H20d zenon_H225 zenon_H226 zenon_H227 zenon_Hd6 zenon_H152 zenon_Hc5 zenon_H49 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H12 zenon_H1a2 zenon_H4b zenon_H3e zenon_H51 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_He8 zenon_H2da zenon_H54.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.37/1.52 apply (zenon_L1197_); trivial.
% 1.37/1.52 apply (zenon_L97_); trivial.
% 1.37/1.52 (* end of lemma zenon_L1198_ *)
% 1.37/1.52 assert (zenon_L1199_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> (~(hskp16)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a2539)) -> (~(c2_1 (a2539))) -> (~(c0_1 (a2539))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> (~(hskp10)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> (~(hskp14)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> False).
% 1.37/1.52 do 0 intro. intros zenon_H74 zenon_H2d8 zenon_H5f zenon_H129 zenon_Hef zenon_H1b7 zenon_H11d zenon_H11b zenon_H1e9 zenon_H5 zenon_H1b3 zenon_H193 zenon_H192 zenon_H191 zenon_Hc5 zenon_H49 zenon_H1a2 zenon_H4b zenon_H3e zenon_H51 zenon_Hcb zenon_Hbc zenon_Hbd zenon_Hbe zenon_Hd6 zenon_Hd9 zenon_Hdd zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_He8 zenon_H2da zenon_H54.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.37/1.52 apply (zenon_L308_); trivial.
% 1.37/1.52 apply (zenon_L831_); trivial.
% 1.37/1.52 apply (zenon_L811_); trivial.
% 1.37/1.52 (* end of lemma zenon_L1199_ *)
% 1.37/1.52 assert (zenon_L1200_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> (~(hskp16)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a2539)) -> (~(c2_1 (a2539))) -> (~(c0_1 (a2539))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> (~(hskp10)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> False).
% 1.37/1.52 do 0 intro. intros zenon_H74 zenon_H2d8 zenon_H5f zenon_H129 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_Hef zenon_H1b7 zenon_H11d zenon_H11b zenon_H1e9 zenon_H5 zenon_H1b3 zenon_H193 zenon_H192 zenon_H191 zenon_Hc5 zenon_H49 zenon_H1a2 zenon_H4b zenon_H3e zenon_H51 zenon_Hcb zenon_Hbc zenon_Hbd zenon_Hbe zenon_Hd6 zenon_Hd9 zenon_Hdd zenon_H21 zenon_H1f zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H54.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.37/1.52 apply (zenon_L308_); trivial.
% 1.37/1.52 apply (zenon_L553_); trivial.
% 1.37/1.52 apply (zenon_L811_); trivial.
% 1.37/1.52 (* end of lemma zenon_L1200_ *)
% 1.37/1.52 assert (zenon_L1201_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((hskp21)\/(hskp22))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((hskp23)\/(hskp27)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (ndr1_0) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.37/1.52 do 0 intro. intros zenon_H1b9 zenon_Hef zenon_H92 zenon_H2f5 zenon_H241 zenon_H9d zenon_Hcb zenon_Hd9 zenon_Hdd zenon_H1b3 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H157 zenon_H2d8 zenon_H2f4 zenon_H54 zenon_H2da zenon_He8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H51 zenon_H3e zenon_H4b zenon_H1a2 zenon_H12 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H49 zenon_Hc5 zenon_H152 zenon_Hd6 zenon_H227 zenon_H226 zenon_H225 zenon_H20d zenon_H230 zenon_H177 zenon_H1b7 zenon_H5f zenon_H63 zenon_Hba.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.37/1.52 apply (zenon_L1198_); trivial.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.37/1.52 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.37/1.52 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.37/1.52 apply (zenon_L867_); trivial.
% 1.37/1.52 apply (zenon_L831_); trivial.
% 1.37/1.52 (* end of lemma zenon_L1201_ *)
% 1.37/1.52 assert (zenon_L1202_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (ndr1_0) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> False).
% 1.37/1.53 do 0 intro. intros zenon_H54 zenon_H2da zenon_He8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H51 zenon_H3e zenon_H4b zenon_H1a2 zenon_H12 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H49 zenon_Hc5 zenon_H216 zenon_H10d zenon_H103 zenon_H105 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H230 zenon_H227 zenon_H226 zenon_H225 zenon_H177 zenon_H1b7.
% 1.37/1.53 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.37/1.53 apply (zenon_L350_); trivial.
% 1.37/1.53 apply (zenon_L831_); trivial.
% 1.37/1.53 (* end of lemma zenon_L1202_ *)
% 1.37/1.53 assert (zenon_L1203_ : ((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (~(hskp3)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> False).
% 1.37/1.53 do 0 intro. intros zenon_H12b zenon_H101 zenon_Hb3 zenon_H2b4 zenon_H49 zenon_Hae zenon_H298 zenon_H297 zenon_H296 zenon_H1c7 zenon_H3e zenon_H2de zenon_H2f4 zenon_H190 zenon_H177 zenon_H230 zenon_H227 zenon_H226 zenon_H225 zenon_H1bc zenon_Hef zenon_H144 zenon_H1e9 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_Hdd zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H129 zenon_H5f zenon_H2d8 zenon_H74 zenon_H241 zenon_H2da zenon_H54 zenon_Hb9.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.37/1.53 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.37/1.53 apply (zenon_L882_); trivial.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.37/1.53 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.37/1.53 apply (zenon_L881_); trivial.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.37/1.53 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.37/1.53 apply (zenon_L1185_); trivial.
% 1.37/1.53 apply (zenon_L343_); trivial.
% 1.37/1.53 (* end of lemma zenon_L1203_ *)
% 1.37/1.53 assert (zenon_L1204_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((hskp13)\/(hskp4))) -> (~(hskp4)) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (ndr1_0) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534))))))) -> False).
% 1.37/1.53 do 0 intro. intros zenon_H12e zenon_Hb3 zenon_Hae zenon_H1c7 zenon_H29f zenon_H5f zenon_H298 zenon_H297 zenon_H296 zenon_H12 zenon_Hb9 zenon_H54 zenon_H2da zenon_H241 zenon_H74 zenon_H2d8 zenon_H129 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H1e9 zenon_H144 zenon_Hef zenon_H11d zenon_H1bc zenon_H225 zenon_H226 zenon_H227 zenon_H230 zenon_H177 zenon_H190 zenon_H2f4 zenon_H51 zenon_H157 zenon_Hd6 zenon_H49 zenon_Hc5 zenon_H2de zenon_H2b4 zenon_H3e zenon_H174 zenon_H163 zenon_H189 zenon_H101 zenon_H1d5.
% 1.37/1.53 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.37/1.53 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.37/1.53 apply (zenon_L529_); trivial.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.37/1.53 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.37/1.53 apply (zenon_L879_); trivial.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.37/1.53 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.37/1.53 apply (zenon_L877_); trivial.
% 1.37/1.53 apply (zenon_L1178_); trivial.
% 1.37/1.53 apply (zenon_L1203_); trivial.
% 1.37/1.53 (* end of lemma zenon_L1204_ *)
% 1.37/1.53 assert (zenon_L1205_ : ((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c1_1 (a2533))) -> (~(hskp3)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.37/1.53 do 0 intro. intros zenon_Hb2 zenon_H74 zenon_H2d8 zenon_H5f zenon_H129 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H1c7 zenon_H2a7 zenon_H2a6 zenon_H2a5 zenon_H49 zenon_Hae zenon_Hb3.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.37/1.53 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.37/1.53 apply (zenon_L575_); trivial.
% 1.37/1.53 apply (zenon_L811_); trivial.
% 1.37/1.53 (* end of lemma zenon_L1205_ *)
% 1.37/1.53 assert (zenon_L1206_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c1_1 (a2533))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> (~(hskp10)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> (ndr1_0) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> (~(hskp14)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> False).
% 1.37/1.53 do 0 intro. intros zenon_Hba zenon_H74 zenon_H2d8 zenon_H5f zenon_H129 zenon_H1c7 zenon_H2a7 zenon_H2a6 zenon_H2a5 zenon_Hae zenon_Hb3 zenon_H1b7 zenon_H177 zenon_H230 zenon_H20d zenon_H225 zenon_H226 zenon_H227 zenon_Hd6 zenon_H152 zenon_Hc5 zenon_H49 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H12 zenon_H1a2 zenon_H4b zenon_H3e zenon_H51 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_He8 zenon_H2da zenon_H54.
% 1.37/1.53 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.37/1.53 apply (zenon_L1197_); trivial.
% 1.37/1.53 apply (zenon_L1205_); trivial.
% 1.37/1.53 (* end of lemma zenon_L1206_ *)
% 1.37/1.53 assert (zenon_L1207_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(c0_1 (a2539))) -> (~(c2_1 (a2539))) -> (c3_1 (a2539)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> (~(hskp16)) -> (~(hskp19)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (c2_1 (a2549)) -> (~(c1_1 (a2549))) -> (~(c0_1 (a2549))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> ((hskp23)\/(hskp27)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> (~(hskp21)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.37/1.53 do 0 intro. intros zenon_H2f4 zenon_H51 zenon_H177 zenon_H1f3 zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H157 zenon_H191 zenon_H192 zenon_H193 zenon_H1e9 zenon_H5 zenon_H3 zenon_H1b3 zenon_Ha6 zenon_Ha5 zenon_Ha4 zenon_H152 zenon_Hc5 zenon_Hdd zenon_Hd9 zenon_Hd6 zenon_Hbe zenon_Hbd zenon_Hbc zenon_Hcb zenon_H9d zenon_H49 zenon_H225 zenon_H226 zenon_H227 zenon_H9 zenon_H241 zenon_H2f5 zenon_H92 zenon_Hef.
% 1.37/1.53 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2f1 ].
% 1.37/1.53 apply (zenon_L865_); trivial.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H12. zenon_intro zenon_H2f2.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H2e2. zenon_intro zenon_H2f3.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H2e0. zenon_intro zenon_H2e1.
% 1.37/1.53 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.37/1.53 apply (zenon_L62_); trivial.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.37/1.53 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ].
% 1.37/1.53 apply (zenon_L53_); trivial.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H12. zenon_intro zenon_H4e.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H40. zenon_intro zenon_H4f.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H41. zenon_intro zenon_H42.
% 1.37/1.53 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.37/1.53 apply (zenon_L257_); trivial.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.37/1.53 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H1f4 ].
% 1.37/1.53 apply (zenon_L47_); trivial.
% 1.37/1.53 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H55 | zenon_intro zenon_H93 ].
% 1.37/1.53 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H102 | zenon_intro zenon_H1b6 ].
% 1.37/1.53 apply (zenon_L125_); trivial.
% 1.37/1.53 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H93 | zenon_intro zenon_H14a ].
% 1.37/1.53 apply (zenon_L192_); trivial.
% 1.37/1.53 apply (zenon_L113_); trivial.
% 1.37/1.53 apply (zenon_L866_); trivial.
% 1.37/1.53 (* end of lemma zenon_L1207_ *)
% 1.37/1.53 assert (zenon_L1208_ : ((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((hskp21)\/(hskp22))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> (~(hskp10)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp19)) -> (~(hskp16)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> (c3_1 (a2539)) -> (~(c2_1 (a2539))) -> (~(c0_1 (a2539))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> False).
% 1.37/1.53 do 0 intro. intros zenon_Had zenon_H54 zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H1f zenon_H21 zenon_Hef zenon_H92 zenon_H2f5 zenon_H241 zenon_H227 zenon_H226 zenon_H225 zenon_H49 zenon_H9d zenon_Hcb zenon_Hbc zenon_Hbd zenon_Hbe zenon_Hd6 zenon_Hd9 zenon_Hdd zenon_Hc5 zenon_H152 zenon_H1b3 zenon_H3 zenon_H5 zenon_H1e9 zenon_H193 zenon_H192 zenon_H191 zenon_H157 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2d8 zenon_H1f3 zenon_H177 zenon_H51 zenon_H2f4.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.37/1.53 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.37/1.53 apply (zenon_L1207_); trivial.
% 1.37/1.53 apply (zenon_L553_); trivial.
% 1.37/1.53 (* end of lemma zenon_L1208_ *)
% 1.37/1.53 assert (zenon_L1209_ : ((ndr1_0)/\((~(c1_1 (a2533)))/\((~(c2_1 (a2533)))/\(~(c3_1 (a2533)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((hskp21)\/(hskp22))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((hskp23)\/(hskp27)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((hskp13)\/(hskp4))) -> False).
% 1.37/1.53 do 0 intro. intros zenon_H2af zenon_H1d5 zenon_H101 zenon_H1b9 zenon_Hb9 zenon_Hef zenon_H92 zenon_H2f5 zenon_H241 zenon_H9d zenon_Hcb zenon_Hd9 zenon_Hdd zenon_H1b3 zenon_H1e9 zenon_H157 zenon_H1f3 zenon_H2f4 zenon_H1f zenon_H21 zenon_H2b4 zenon_H63 zenon_H54 zenon_H2da zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H51 zenon_H3e zenon_H4b zenon_H1a2 zenon_H49 zenon_Hc5 zenon_H152 zenon_Hd6 zenon_H227 zenon_H226 zenon_H225 zenon_H20d zenon_H230 zenon_H177 zenon_H1b7 zenon_Hb3 zenon_Hae zenon_H1c7 zenon_H129 zenon_H2d8 zenon_H74 zenon_Hba zenon_H296 zenon_H297 zenon_H298 zenon_H5f zenon_H29f.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.37/1.53 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.37/1.53 apply (zenon_L529_); trivial.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.37/1.53 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.37/1.53 apply (zenon_L1206_); trivial.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.37/1.53 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.37/1.53 apply (zenon_L555_); trivial.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.37/1.53 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.37/1.53 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.37/1.53 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.37/1.53 apply (zenon_L534_); trivial.
% 1.37/1.53 apply (zenon_L1208_); trivial.
% 1.37/1.53 apply (zenon_L811_); trivial.
% 1.37/1.53 apply (zenon_L556_); trivial.
% 1.37/1.53 (* end of lemma zenon_L1209_ *)
% 1.37/1.53 assert (zenon_L1210_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (ndr1_0) -> (~(c1_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c3_1 (a2533))) -> (~(hskp19)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> False).
% 1.37/1.53 do 0 intro. intros zenon_Hb3 zenon_H177 zenon_H225 zenon_H226 zenon_H227 zenon_H230 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H105 zenon_H103 zenon_H10d zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e5 zenon_H12 zenon_H2a5 zenon_H2a6 zenon_H2a7 zenon_H3 zenon_H1c7.
% 1.37/1.53 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.37/1.53 apply (zenon_L534_); trivial.
% 1.37/1.53 apply (zenon_L319_); trivial.
% 1.37/1.53 (* end of lemma zenon_L1210_ *)
% 1.37/1.53 assert (zenon_L1211_ : ((ndr1_0)/\((~(c1_1 (a2533)))/\((~(c2_1 (a2533)))/\(~(c3_1 (a2533)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.37/1.53 do 0 intro. intros zenon_H2af zenon_H74 zenon_H2d8 zenon_H5f zenon_H129 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H1c7 zenon_H1e5 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H10d zenon_H103 zenon_H105 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H230 zenon_H227 zenon_H226 zenon_H225 zenon_H177 zenon_Hb3.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.37/1.53 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.37/1.53 apply (zenon_L1210_); trivial.
% 1.37/1.53 apply (zenon_L811_); trivial.
% 1.37/1.53 (* end of lemma zenon_L1211_ *)
% 1.37/1.53 assert (zenon_L1212_ : ((ndr1_0)/\((c3_1 (a2528))/\((~(c0_1 (a2528)))/\(~(c1_1 (a2528)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (~(hskp3)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp12))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c1_1 (a2533)))/\((~(c2_1 (a2533)))/\(~(c3_1 (a2533))))))) -> False).
% 1.37/1.53 do 0 intro. intros zenon_H1d1 zenon_H12e zenon_H101 zenon_H2b4 zenon_H49 zenon_Hae zenon_H3e zenon_H2de zenon_H2f4 zenon_H190 zenon_H177 zenon_H230 zenon_H227 zenon_H226 zenon_H225 zenon_H1bc zenon_Hef zenon_H144 zenon_H1e9 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_Hdd zenon_H241 zenon_H2da zenon_H54 zenon_Hb9 zenon_H2a3 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H298 zenon_H297 zenon_H296 zenon_Hb3 zenon_H1e5 zenon_H11d zenon_H1c7 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H129 zenon_H5f zenon_H2d8 zenon_H74 zenon_H2ae.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.37/1.53 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.37/1.53 apply (zenon_L1190_); trivial.
% 1.37/1.53 apply (zenon_L1203_); trivial.
% 1.37/1.53 (* end of lemma zenon_L1212_ *)
% 1.37/1.53 assert (zenon_L1213_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((hskp23)\/(hskp27)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.37/1.53 do 0 intro. intros zenon_H74 zenon_H2d8 zenon_H5f zenon_H129 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_Hdd zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H21 zenon_H1f zenon_H1fc zenon_H1fb zenon_H1fa zenon_H146 zenon_H148 zenon_Hcb zenon_H144 zenon_H5 zenon_H1e9 zenon_Hef.
% 1.37/1.53 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.37/1.53 apply (zenon_L595_); trivial.
% 1.37/1.53 apply (zenon_L811_); trivial.
% 1.37/1.53 (* end of lemma zenon_L1213_ *)
% 1.37/1.53 assert (zenon_L1214_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((hskp23)\/(hskp27)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.37/1.53 do 0 intro. intros zenon_Hfe zenon_Hb9 zenon_H54 zenon_H241 zenon_H74 zenon_H2d8 zenon_H5f zenon_H129 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_Hdd zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_H21 zenon_H1f zenon_H1fc zenon_H1fb zenon_H1fa zenon_H148 zenon_Hcb zenon_H144 zenon_H1e9 zenon_Hef zenon_H11d zenon_H11b zenon_H1bc zenon_H225 zenon_H226 zenon_H227 zenon_H230 zenon_H177 zenon_H190.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.37/1.53 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.37/1.53 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.37/1.53 apply (zenon_L1213_); trivial.
% 1.37/1.53 apply (zenon_L842_); trivial.
% 1.37/1.53 apply (zenon_L556_); trivial.
% 1.37/1.53 (* end of lemma zenon_L1214_ *)
% 1.37/1.53 assert (zenon_L1215_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((hskp23)\/(hskp27)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> False).
% 1.37/1.53 do 0 intro. intros zenon_H12e zenon_Hb9 zenon_H254 zenon_H54 zenon_Hdd zenon_H2da zenon_H1fa zenon_H1fb zenon_H1fc zenon_H148 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_Hcb zenon_H144 zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_Hef zenon_H11d zenon_H1bc zenon_H2d8 zenon_H230 zenon_H177 zenon_H190 zenon_H1e9 zenon_H1f zenon_H21 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_H129 zenon_H5f zenon_H74 zenon_H101.
% 1.37/1.53 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.37/1.53 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.37/1.53 apply (zenon_L844_); trivial.
% 1.37/1.53 apply (zenon_L1214_); trivial.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.37/1.53 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.37/1.53 apply (zenon_L861_); trivial.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.37/1.53 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.37/1.53 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.37/1.53 apply (zenon_L1213_); trivial.
% 1.37/1.53 apply (zenon_L343_); trivial.
% 1.37/1.53 apply (zenon_L556_); trivial.
% 1.37/1.53 (* end of lemma zenon_L1215_ *)
% 1.37/1.53 assert (zenon_L1216_ : ((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (c1_1 (a2534)) -> (~(c2_1 (a2534))) -> (~(c0_1 (a2534))) -> (~(hskp3)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.37/1.53 do 0 intro. intros zenon_Hb2 zenon_H74 zenon_H2d8 zenon_H5f zenon_H129 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_Hd9 zenon_Hd6 zenon_H66 zenon_H67 zenon_H1c7 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H49 zenon_Hae zenon_Hb3.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.37/1.53 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.37/1.53 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.37/1.53 apply (zenon_L727_); trivial.
% 1.37/1.53 apply (zenon_L48_); trivial.
% 1.37/1.53 apply (zenon_L811_); trivial.
% 1.37/1.53 (* end of lemma zenon_L1216_ *)
% 1.37/1.53 assert (zenon_L1217_ : ((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (c3_1 (a2539)) -> (~(c2_1 (a2539))) -> (~(c0_1 (a2539))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(hskp4)) -> (~(c0_1 (a2517))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp11)) -> False).
% 1.37/1.53 do 0 intro. intros zenon_H4d zenon_H11d zenon_H193 zenon_H192 zenon_H191 zenon_H10d zenon_H103 zenon_H105 zenon_H216 zenon_H129 zenon_H2c9 zenon_H2c8 zenon_H5f zenon_H2c7 zenon_H2d8 zenon_H11b.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H12. zenon_intro zenon_H4e.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H40. zenon_intro zenon_H4f.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H41. zenon_intro zenon_H42.
% 1.37/1.53 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H102 | zenon_intro zenon_H11e ].
% 1.37/1.53 apply (zenon_L125_); trivial.
% 1.37/1.53 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H118 | zenon_intro zenon_H11c ].
% 1.37/1.53 apply (zenon_L1153_); trivial.
% 1.37/1.53 exact (zenon_H11b zenon_H11c).
% 1.37/1.53 (* end of lemma zenon_L1217_ *)
% 1.37/1.53 assert (zenon_L1218_ : ((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a2534))) -> (~(c2_1 (a2534))) -> (c1_1 (a2534)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> False).
% 1.37/1.53 do 0 intro. intros zenon_H19a zenon_H51 zenon_H11d zenon_H11b zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H129 zenon_H5f zenon_H10d zenon_H103 zenon_H105 zenon_H216 zenon_H2d8 zenon_Hbc zenon_Hbd zenon_Hbe zenon_H49 zenon_Hc5.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.37/1.53 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ].
% 1.37/1.53 apply (zenon_L53_); trivial.
% 1.37/1.53 apply (zenon_L1217_); trivial.
% 1.37/1.53 (* end of lemma zenon_L1218_ *)
% 1.37/1.53 assert (zenon_L1219_ : ((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> False).
% 1.37/1.53 do 0 intro. intros zenon_H1b8 zenon_H1b9 zenon_H190 zenon_Hba zenon_H63 zenon_H11d zenon_H11b zenon_H1bc zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H177 zenon_Hef zenon_H144 zenon_H1e9 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_Hdd zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H129 zenon_H5f zenon_H2d8 zenon_H74 zenon_Hc5 zenon_H49 zenon_H10d zenon_H103 zenon_H105 zenon_H223 zenon_H216 zenon_H51 zenon_Hb9.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.37/1.53 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.37/1.53 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.41/1.53 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.53 apply (zenon_L1040_); trivial.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.41/1.53 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.53 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.41/1.53 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ].
% 1.41/1.53 apply (zenon_L220_); trivial.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H12. zenon_intro zenon_H4e.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H40. zenon_intro zenon_H4f.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H41. zenon_intro zenon_H42.
% 1.41/1.53 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H102 | zenon_intro zenon_H11e ].
% 1.41/1.53 apply (zenon_L376_); trivial.
% 1.41/1.53 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H118 | zenon_intro zenon_H11c ].
% 1.41/1.53 apply (zenon_L1153_); trivial.
% 1.41/1.53 exact (zenon_H11b zenon_H11c).
% 1.41/1.53 apply (zenon_L97_); trivial.
% 1.41/1.53 apply (zenon_L823_); trivial.
% 1.41/1.53 apply (zenon_L1218_); trivial.
% 1.41/1.53 (* end of lemma zenon_L1219_ *)
% 1.41/1.53 assert (zenon_L1220_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> (ndr1_0) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((hskp13)\/(hskp4))) -> False).
% 1.41/1.53 do 0 intro. intros zenon_H1d5 zenon_H1b9 zenon_H190 zenon_Hba zenon_H63 zenon_H11d zenon_H11b zenon_H1bc zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H177 zenon_Hef zenon_H144 zenon_H1e9 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_Hdd zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H129 zenon_H2d8 zenon_H74 zenon_Hc5 zenon_H49 zenon_H10d zenon_H103 zenon_H105 zenon_H223 zenon_H216 zenon_H51 zenon_Hb9 zenon_H12 zenon_H296 zenon_H297 zenon_H298 zenon_H5f zenon_H29f.
% 1.41/1.53 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.41/1.53 apply (zenon_L529_); trivial.
% 1.41/1.53 apply (zenon_L1219_); trivial.
% 1.41/1.53 (* end of lemma zenon_L1220_ *)
% 1.41/1.53 assert (zenon_L1221_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> (~(hskp29)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(hskp21)) -> (~(hskp26)) -> ((hskp30)\/((hskp21)\/(hskp26))) -> False).
% 1.41/1.53 do 0 intro. intros zenon_H3e zenon_H2d8 zenon_H4b zenon_H49 zenon_H26 zenon_H25 zenon_H24 zenon_H150 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H9 zenon_H1a0 zenon_H1a2.
% 1.41/1.53 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H1d | zenon_intro zenon_H39 ].
% 1.41/1.53 apply (zenon_L139_); trivial.
% 1.41/1.53 apply (zenon_L939_); trivial.
% 1.41/1.53 (* end of lemma zenon_L1221_ *)
% 1.41/1.53 assert (zenon_L1222_ : ((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(hskp21)) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(hskp23)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> (~(hskp22)) -> (~(hskp5)) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> False).
% 1.41/1.53 do 0 intro. intros zenon_H8d zenon_H1b7 zenon_H3e zenon_H2d8 zenon_H4b zenon_H49 zenon_H26 zenon_H25 zenon_H24 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H9 zenon_H1a2 zenon_H163 zenon_Hc7 zenon_H2f9 zenon_H2dc zenon_H2f7 zenon_H262 zenon_H263 zenon_H261 zenon_H223 zenon_H216 zenon_H174 zenon_H177.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H12. zenon_intro zenon_H8f.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H84. zenon_intro zenon_H90.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H82. zenon_intro zenon_H83.
% 1.41/1.53 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1b2 ].
% 1.41/1.53 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.41/1.53 apply (zenon_L1221_); trivial.
% 1.41/1.53 apply (zenon_L892_); trivial.
% 1.41/1.53 apply (zenon_L432_); trivial.
% 1.41/1.53 (* end of lemma zenon_L1222_ *)
% 1.41/1.53 assert (zenon_L1223_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> (~(hskp29)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (ndr1_0) -> (~(c2_1 (a2551))) -> (c0_1 (a2551)) -> (c1_1 (a2551)) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> False).
% 1.41/1.53 do 0 intro. intros zenon_H3e zenon_H2d8 zenon_H4b zenon_H49 zenon_H26 zenon_H25 zenon_H24 zenon_H150 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H12 zenon_H14 zenon_H15 zenon_H16 zenon_H1f zenon_H21.
% 1.41/1.53 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H1d | zenon_intro zenon_H39 ].
% 1.41/1.53 apply (zenon_L13_); trivial.
% 1.41/1.53 apply (zenon_L939_); trivial.
% 1.41/1.53 (* end of lemma zenon_L1223_ *)
% 1.41/1.53 assert (zenon_L1224_ : ((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (~(c1_1 (a2521))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(hskp5)) -> (~(hskp22)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a2551)) -> (c0_1 (a2551)) -> (~(c2_1 (a2551))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> False).
% 1.41/1.53 do 0 intro. intros zenon_H8d zenon_H177 zenon_H174 zenon_H216 zenon_H223 zenon_H261 zenon_H263 zenon_H262 zenon_H2f7 zenon_H2dc zenon_H2f9 zenon_Hc7 zenon_H163 zenon_H21 zenon_H1f zenon_H16 zenon_H15 zenon_H14 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H24 zenon_H25 zenon_H26 zenon_H49 zenon_H4b zenon_H2d8 zenon_H3e.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H12. zenon_intro zenon_H8f.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H84. zenon_intro zenon_H90.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H82. zenon_intro zenon_H83.
% 1.41/1.53 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.41/1.53 apply (zenon_L1223_); trivial.
% 1.41/1.53 apply (zenon_L892_); trivial.
% 1.41/1.53 (* end of lemma zenon_L1224_ *)
% 1.41/1.53 assert (zenon_L1225_ : ((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (~(c1_1 (a2521))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(hskp5)) -> (~(hskp22)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a2551)) -> (c0_1 (a2551)) -> (~(c2_1 (a2551))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> False).
% 1.41/1.53 do 0 intro. intros zenon_H9f zenon_H92 zenon_H177 zenon_H174 zenon_H216 zenon_H223 zenon_H261 zenon_H263 zenon_H262 zenon_H2f7 zenon_H2dc zenon_H2f9 zenon_Hc7 zenon_H163 zenon_H21 zenon_H1f zenon_H16 zenon_H15 zenon_H14 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H24 zenon_H25 zenon_H26 zenon_H4b zenon_H2d8 zenon_H3e zenon_H49 zenon_H9d.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.41/1.53 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.41/1.53 apply (zenon_L44_); trivial.
% 1.41/1.53 apply (zenon_L1224_); trivial.
% 1.41/1.53 (* end of lemma zenon_L1225_ *)
% 1.41/1.53 assert (zenon_L1226_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c1_1 (a2533))) -> (ndr1_0) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.41/1.53 do 0 intro. intros zenon_H74 zenon_H2f4 zenon_H92 zenon_H1b7 zenon_H3e zenon_H2d8 zenon_H4b zenon_H49 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H1a2 zenon_H163 zenon_H2f9 zenon_H2f7 zenon_H223 zenon_H216 zenon_H174 zenon_H177 zenon_H1e0 zenon_He8 zenon_Heb zenon_Hef zenon_H21 zenon_H1f zenon_H7f zenon_H9d zenon_Ha2 zenon_H54 zenon_H1c7 zenon_H2a7 zenon_H2a6 zenon_H2a5 zenon_H12 zenon_H1ea zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H262 zenon_H263 zenon_H261 zenon_H1e5 zenon_Hb3.
% 1.41/1.53 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.53 apply (zenon_L604_); trivial.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.41/1.53 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.41/1.53 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.41/1.53 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2f1 ].
% 1.41/1.53 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.41/1.53 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.41/1.53 apply (zenon_L177_); trivial.
% 1.41/1.53 apply (zenon_L1222_); trivial.
% 1.41/1.53 apply (zenon_L65_); trivial.
% 1.41/1.53 apply (zenon_L897_); trivial.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.41/1.53 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2f1 ].
% 1.41/1.53 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.41/1.53 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.41/1.53 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.41/1.53 apply (zenon_L38_); trivial.
% 1.41/1.53 apply (zenon_L1224_); trivial.
% 1.41/1.53 apply (zenon_L1225_); trivial.
% 1.41/1.53 apply (zenon_L65_); trivial.
% 1.41/1.53 apply (zenon_L897_); trivial.
% 1.41/1.53 apply (zenon_L196_); trivial.
% 1.41/1.53 (* end of lemma zenon_L1226_ *)
% 1.41/1.53 assert (zenon_L1227_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c1_1 (a2533))) -> (ndr1_0) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.41/1.53 do 0 intro. intros zenon_H74 zenon_Hdd zenon_H148 zenon_H146 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_He8 zenon_Heb zenon_Hef zenon_H1c7 zenon_H2a7 zenon_H2a6 zenon_H2a5 zenon_H12 zenon_H1ea zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H262 zenon_H263 zenon_H261 zenon_H1e5 zenon_Hb3.
% 1.41/1.53 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.53 apply (zenon_L604_); trivial.
% 1.41/1.53 apply (zenon_L197_); trivial.
% 1.41/1.53 (* end of lemma zenon_L1227_ *)
% 1.41/1.53 assert (zenon_L1228_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(hskp22)) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> (c3_1 (a2556)) -> (c2_1 (a2556)) -> (c1_1 (a2556)) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5)))))) -> (ndr1_0) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> False).
% 1.41/1.53 do 0 intro. intros zenon_H216 zenon_H2dc zenon_H2f7 zenon_H2f9 zenon_H15c zenon_H15b zenon_H15a zenon_H55 zenon_H12 zenon_Ha3 zenon_H261 zenon_H262 zenon_H263.
% 1.41/1.53 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H217 ].
% 1.41/1.53 apply (zenon_L885_); trivial.
% 1.41/1.53 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H14a | zenon_intro zenon_H3f ].
% 1.41/1.53 apply (zenon_L113_); trivial.
% 1.41/1.53 apply (zenon_L616_); trivial.
% 1.41/1.53 (* end of lemma zenon_L1228_ *)
% 1.41/1.53 assert (zenon_L1229_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c1_1 (a2533))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.41/1.53 do 0 intro. intros zenon_H18d zenon_H74 zenon_Hef zenon_H1f3 zenon_H189 zenon_H1e0 zenon_H2d8 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H163 zenon_H2f9 zenon_H2f7 zenon_H223 zenon_H216 zenon_H174 zenon_H177 zenon_H92 zenon_H2f4 zenon_H1c7 zenon_H2a7 zenon_H2a6 zenon_H2a5 zenon_H1ea zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H262 zenon_H263 zenon_H261 zenon_H1e5 zenon_Hb3.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.41/1.53 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.53 apply (zenon_L604_); trivial.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.41/1.53 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.41/1.53 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2f1 ].
% 1.41/1.53 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.41/1.53 apply (zenon_L1098_); trivial.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.41/1.53 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.41/1.53 apply (zenon_L888_); trivial.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.41/1.53 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H1f4 ].
% 1.41/1.53 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H55 | zenon_intro zenon_H18a ].
% 1.41/1.53 apply (zenon_L1228_); trivial.
% 1.41/1.53 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H118 | zenon_intro zenon_Hde ].
% 1.41/1.53 apply (zenon_L115_); trivial.
% 1.41/1.53 apply (zenon_L63_); trivial.
% 1.41/1.53 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H55 | zenon_intro zenon_H93 ].
% 1.41/1.53 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H1e6 ].
% 1.41/1.53 apply (zenon_L1228_); trivial.
% 1.41/1.53 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1d6 ].
% 1.41/1.53 apply (zenon_L885_); trivial.
% 1.41/1.53 apply (zenon_L176_); trivial.
% 1.41/1.53 apply (zenon_L1070_); trivial.
% 1.41/1.53 apply (zenon_L897_); trivial.
% 1.41/1.53 apply (zenon_L196_); trivial.
% 1.41/1.53 (* end of lemma zenon_L1229_ *)
% 1.41/1.53 assert (zenon_L1230_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (~(c1_1 (a2521))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (ndr1_0) -> (~(c1_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c3_1 (a2533))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> (~(hskp14)) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.41/1.53 do 0 intro. intros zenon_H190 zenon_H1f3 zenon_H189 zenon_H1e0 zenon_H2d8 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H163 zenon_H2f9 zenon_H2f7 zenon_H223 zenon_H216 zenon_H174 zenon_H177 zenon_H92 zenon_H2f4 zenon_Hb3 zenon_H1e5 zenon_H261 zenon_H263 zenon_H262 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1ea zenon_H12 zenon_H2a5 zenon_H2a6 zenon_H2a7 zenon_H1c7 zenon_Hef zenon_Heb zenon_He8 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_Hdd zenon_H74.
% 1.41/1.53 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.53 apply (zenon_L1227_); trivial.
% 1.41/1.53 apply (zenon_L1229_); trivial.
% 1.41/1.53 (* end of lemma zenon_L1230_ *)
% 1.41/1.53 assert (zenon_L1231_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c1_1 (a2533))) -> (ndr1_0) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.41/1.53 do 0 intro. intros zenon_H74 zenon_H2f4 zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_Hdd zenon_H148 zenon_H146 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H2de zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_Hef zenon_H1c7 zenon_H2a7 zenon_H2a6 zenon_H2a5 zenon_H12 zenon_H1ea zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H262 zenon_H263 zenon_H261 zenon_H1e5 zenon_Hb3.
% 1.41/1.53 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.53 apply (zenon_L604_); trivial.
% 1.41/1.53 apply (zenon_L1184_); trivial.
% 1.41/1.53 (* end of lemma zenon_L1231_ *)
% 1.41/1.53 assert (zenon_L1232_ : ((ndr1_0)/\((c1_1 (a2526))/\((c3_1 (a2526))/\(~(c0_1 (a2526)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c1_1 (a2533)))/\((~(c2_1 (a2533)))/\(~(c3_1 (a2533))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((hskp23)\/(hskp27)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp12))) -> False).
% 1.41/1.53 do 0 intro. intros zenon_H1f6 zenon_H2ae zenon_H101 zenon_H3e zenon_H2b4 zenon_H2de zenon_H74 zenon_Hdd zenon_H148 zenon_Hcb zenon_Heb zenon_Hef zenon_H1c7 zenon_H1ea zenon_H262 zenon_H263 zenon_H261 zenon_H1e5 zenon_Hb3 zenon_H2f4 zenon_H92 zenon_H177 zenon_H174 zenon_H216 zenon_H223 zenon_H2f7 zenon_H2f9 zenon_H163 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H2d8 zenon_H1e0 zenon_H189 zenon_H1f3 zenon_H190 zenon_H296 zenon_H297 zenon_H298 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H2a3.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.41/1.53 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.41/1.53 apply (zenon_L532_); trivial.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.41/1.53 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.53 apply (zenon_L1230_); trivial.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.41/1.53 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.53 apply (zenon_L1231_); trivial.
% 1.41/1.53 apply (zenon_L1229_); trivial.
% 1.41/1.53 (* end of lemma zenon_L1232_ *)
% 1.41/1.53 assert (zenon_L1233_ : ((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c2_1 (a2545)) -> (c1_1 (a2545)) -> (~(c0_1 (a2545))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(c1_1 (a2521))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a2541))) -> (~(c2_1 (a2541))) -> (c3_1 (a2541)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.41/1.53 do 0 intro. intros zenon_H71 zenon_H2f4 zenon_Ha2 zenon_H1f3 zenon_H58 zenon_H57 zenon_H56 zenon_H177 zenon_H174 zenon_H216 zenon_H7f zenon_H261 zenon_H263 zenon_H262 zenon_H2f7 zenon_H2f9 zenon_H163 zenon_H2d8 zenon_H180 zenon_H181 zenon_H182 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H11b zenon_H11d zenon_H223 zenon_H92 zenon_H2de zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_Hef.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.41/1.53 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2f1 ].
% 1.41/1.53 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.41/1.53 apply (zenon_L896_); trivial.
% 1.41/1.53 apply (zenon_L1175_); trivial.
% 1.41/1.53 apply (zenon_L897_); trivial.
% 1.41/1.53 (* end of lemma zenon_L1233_ *)
% 1.41/1.53 assert (zenon_L1234_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(c1_1 (a2521))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> (~(hskp6)) -> (~(hskp16)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> False).
% 1.41/1.53 do 0 intro. intros zenon_H18d zenon_Hba zenon_H74 zenon_H2f4 zenon_Ha2 zenon_H1f3 zenon_H174 zenon_H216 zenon_H7f zenon_H261 zenon_H263 zenon_H262 zenon_H2f7 zenon_H2f9 zenon_H163 zenon_H223 zenon_H92 zenon_H2de zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_Hef zenon_H1 zenon_H5 zenon_H7 zenon_H11d zenon_H11b zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H2d8 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H177.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.41/1.53 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.41/1.53 apply (zenon_L822_); trivial.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.41/1.53 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.53 apply (zenon_L4_); trivial.
% 1.41/1.53 apply (zenon_L1233_); trivial.
% 1.41/1.53 (* end of lemma zenon_L1234_ *)
% 1.41/1.53 assert (zenon_L1235_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((hskp6)\/((hskp19)\/(hskp16))) -> (~(hskp16)) -> (~(hskp6)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((hskp23)\/(hskp27)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.41/1.53 do 0 intro. intros zenon_H190 zenon_Hba zenon_H2f4 zenon_H1f3 zenon_H174 zenon_H216 zenon_H2f7 zenon_H2f9 zenon_H163 zenon_H2de zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H11d zenon_H11b zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H2d8 zenon_H20d zenon_H177 zenon_H7 zenon_H5 zenon_H1 zenon_Hef zenon_H27a zenon_H51 zenon_H203 zenon_H1a2 zenon_H3a zenon_H3e zenon_H1b7 zenon_H92 zenon_H261 zenon_H262 zenon_H263 zenon_H223 zenon_Hcb zenon_H7f zenon_H1fc zenon_H1fb zenon_H1fa zenon_H148 zenon_Hdd zenon_H9d zenon_H49 zenon_Ha2 zenon_H1f zenon_H21 zenon_H54 zenon_H74.
% 1.41/1.53 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.53 apply (zenon_L453_); trivial.
% 1.41/1.53 apply (zenon_L1234_); trivial.
% 1.41/1.53 (* end of lemma zenon_L1235_ *)
% 1.41/1.53 assert (zenon_L1236_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp23)\/(hskp27)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> (~(hskp6)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.41/1.53 do 0 intro. intros zenon_Hfe zenon_Hb9 zenon_H74 zenon_H54 zenon_H21 zenon_H1f zenon_Ha2 zenon_H49 zenon_H9d zenon_Hdd zenon_H148 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H7f zenon_Hcb zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H92 zenon_H1b7 zenon_H3e zenon_H3a zenon_H1a2 zenon_H203 zenon_H51 zenon_H27a zenon_Hef zenon_H1 zenon_H7 zenon_H177 zenon_H20d zenon_H2d8 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H11b zenon_H11d zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_H2de zenon_H163 zenon_H2f9 zenon_H2f7 zenon_H216 zenon_H174 zenon_H1f3 zenon_H2f4 zenon_Hba zenon_H190.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.41/1.53 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.41/1.53 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.53 apply (zenon_L1235_); trivial.
% 1.41/1.53 apply (zenon_L630_); trivial.
% 1.41/1.53 (* end of lemma zenon_L1236_ *)
% 1.41/1.53 assert (zenon_L1237_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> (~(hskp6)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.41/1.54 do 0 intro. intros zenon_H190 zenon_Hba zenon_H74 zenon_H2f4 zenon_H1f3 zenon_H174 zenon_H216 zenon_H7f zenon_H2f7 zenon_H2f9 zenon_H163 zenon_H223 zenon_H92 zenon_H2de zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_H1 zenon_H7 zenon_H11d zenon_H11b zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H2d8 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H177 zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H144 zenon_H5 zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_Ha2 zenon_Hef.
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.54 apply (zenon_L474_); trivial.
% 1.41/1.54 apply (zenon_L1234_); trivial.
% 1.41/1.54 (* end of lemma zenon_L1237_ *)
% 1.41/1.54 assert (zenon_L1238_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((hskp6)\/((hskp19)\/(hskp16))) -> (~(hskp6)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.41/1.54 do 0 intro. intros zenon_Hfe zenon_Hb9 zenon_H18b zenon_H189 zenon_H51 zenon_H203 zenon_H49 zenon_Hc5 zenon_H1b7 zenon_H1a2 zenon_H9d zenon_H157 zenon_Hd6 zenon_H152 zenon_H1b3 zenon_Hae zenon_H54 zenon_Hef zenon_Ha2 zenon_H27a zenon_H263 zenon_H262 zenon_H261 zenon_H144 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_Hdd zenon_H177 zenon_H20d zenon_H1fc zenon_H1fb zenon_H1fa zenon_H2d8 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H11b zenon_H11d zenon_H7 zenon_H1 zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_H2de zenon_H92 zenon_H223 zenon_H163 zenon_H2f9 zenon_H2f7 zenon_H7f zenon_H216 zenon_H174 zenon_H1f3 zenon_H2f4 zenon_H74 zenon_Hba zenon_H190.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.41/1.54 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.54 apply (zenon_L1237_); trivial.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.54 apply (zenon_L634_); trivial.
% 1.41/1.54 apply (zenon_L907_); trivial.
% 1.41/1.54 (* end of lemma zenon_L1238_ *)
% 1.41/1.54 assert (zenon_L1239_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c3_1 (a2526)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.41/1.54 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_Hef zenon_H189 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H163 zenon_H174 zenon_H51 zenon_H203 zenon_H1 zenon_H20d zenon_H134 zenon_H132 zenon_H133 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H49 zenon_Hc5 zenon_Ha2 zenon_H92 zenon_H1b7 zenon_H223 zenon_H1a2 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_H9d zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_H157 zenon_Hd6 zenon_H152 zenon_H1b3 zenon_H148 zenon_Hae zenon_H1f3 zenon_H177 zenon_H54 zenon_Hba.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.54 apply (zenon_L634_); trivial.
% 1.41/1.54 apply (zenon_L150_); trivial.
% 1.41/1.54 (* end of lemma zenon_L1239_ *)
% 1.41/1.54 assert (zenon_L1240_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((hskp6)\/((hskp19)\/(hskp16))) -> (~(hskp6)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.41/1.54 do 0 intro. intros zenon_Hfe zenon_Hb9 zenon_H51 zenon_H203 zenon_Hc5 zenon_H1b7 zenon_H1a2 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H9d zenon_H157 zenon_Hd6 zenon_H152 zenon_H1b3 zenon_Hae zenon_H54 zenon_Hef zenon_Ha2 zenon_H27a zenon_H263 zenon_H262 zenon_H261 zenon_H144 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_Hdd zenon_H177 zenon_H20d zenon_H1fc zenon_H1fb zenon_H1fa zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H7 zenon_H1 zenon_H3e zenon_H189 zenon_H49 zenon_H4b zenon_H2de zenon_H92 zenon_H223 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2d8 zenon_H163 zenon_H2f9 zenon_H2f7 zenon_H7f zenon_H216 zenon_H174 zenon_H1f3 zenon_H2f4 zenon_H74 zenon_Hba zenon_H190.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.41/1.54 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.54 apply (zenon_L935_); trivial.
% 1.41/1.54 apply (zenon_L1239_); trivial.
% 1.41/1.54 (* end of lemma zenon_L1240_ *)
% 1.41/1.54 assert (zenon_L1241_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> False).
% 1.41/1.54 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_Hba zenon_H2f4 zenon_H18b zenon_H174 zenon_H1f3 zenon_H2f9 zenon_H2f7 zenon_H216 zenon_H163 zenon_H189 zenon_Hef zenon_H11d zenon_H11b zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H2d8 zenon_H20d zenon_H177 zenon_Ha2 zenon_H92 zenon_H1b7 zenon_H223 zenon_H1a2 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_H49 zenon_H9d zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_H148 zenon_H10d zenon_H103 zenon_H105 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H1b3 zenon_H54.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.54 apply (zenon_L638_); trivial.
% 1.41/1.54 apply (zenon_L907_); trivial.
% 1.41/1.54 (* end of lemma zenon_L1241_ *)
% 1.41/1.54 assert (zenon_L1242_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> False).
% 1.41/1.54 do 0 intro. intros zenon_H18d zenon_Hba zenon_H2f4 zenon_H189 zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H1b3 zenon_Ha2 zenon_H174 zenon_H1f3 zenon_H2f9 zenon_H2f7 zenon_H262 zenon_H263 zenon_H261 zenon_H216 zenon_H163 zenon_H66 zenon_H67 zenon_H68 zenon_H18b zenon_H2de zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_Hef zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H177.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.41/1.54 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.41/1.54 apply (zenon_L224_); trivial.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2f1 ].
% 1.41/1.54 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.41/1.54 apply (zenon_L925_); trivial.
% 1.41/1.54 apply (zenon_L1175_); trivial.
% 1.41/1.54 apply (zenon_L929_); trivial.
% 1.41/1.54 (* end of lemma zenon_L1242_ *)
% 1.41/1.54 assert (zenon_L1243_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> False).
% 1.41/1.54 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_Hba zenon_H2f4 zenon_H189 zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H174 zenon_H1f3 zenon_H2f9 zenon_H2f7 zenon_H216 zenon_H163 zenon_H18b zenon_H2de zenon_Hef zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H20d zenon_H177 zenon_Ha2 zenon_H92 zenon_H1b7 zenon_H223 zenon_H1a2 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_H49 zenon_H9d zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_H148 zenon_H10d zenon_H103 zenon_H105 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H1b3 zenon_H54.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.54 apply (zenon_L638_); trivial.
% 1.41/1.54 apply (zenon_L1242_); trivial.
% 1.41/1.54 (* end of lemma zenon_L1243_ *)
% 1.41/1.54 assert (zenon_L1244_ : ((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (~(c1_1 (a2521))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(hskp5)) -> (~(hskp22)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> (~(hskp10)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> False).
% 1.41/1.54 do 0 intro. intros zenon_H8d zenon_H177 zenon_H174 zenon_H216 zenon_H223 zenon_H261 zenon_H263 zenon_H262 zenon_H2f7 zenon_H2dc zenon_H2f9 zenon_Hc7 zenon_H163 zenon_H225 zenon_H226 zenon_H227 zenon_Hd6 zenon_H152.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H12. zenon_intro zenon_H8f.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H84. zenon_intro zenon_H90.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H82. zenon_intro zenon_H83.
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.41/1.54 apply (zenon_L257_); trivial.
% 1.41/1.54 apply (zenon_L892_); trivial.
% 1.41/1.54 (* end of lemma zenon_L1244_ *)
% 1.41/1.54 assert (zenon_L1245_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> (~(hskp14)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c1_1 (a2533))) -> (ndr1_0) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.41/1.54 do 0 intro. intros zenon_H74 zenon_Hef zenon_Heb zenon_He8 zenon_H1e0 zenon_H152 zenon_Hd6 zenon_H227 zenon_H226 zenon_H225 zenon_H163 zenon_H2f9 zenon_H2f7 zenon_H223 zenon_H216 zenon_H174 zenon_H177 zenon_H92 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2d8 zenon_H2f4 zenon_H1c7 zenon_H2a7 zenon_H2a6 zenon_H2a5 zenon_H12 zenon_H1ea zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H262 zenon_H263 zenon_H261 zenon_H1e5 zenon_Hb3.
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.54 apply (zenon_L604_); trivial.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.41/1.54 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2f1 ].
% 1.41/1.54 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.41/1.54 apply (zenon_L177_); trivial.
% 1.41/1.54 apply (zenon_L1244_); trivial.
% 1.41/1.54 apply (zenon_L65_); trivial.
% 1.41/1.54 apply (zenon_L897_); trivial.
% 1.41/1.54 apply (zenon_L421_); trivial.
% 1.41/1.54 (* end of lemma zenon_L1245_ *)
% 1.41/1.54 assert (zenon_L1246_ : (forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42)))))) -> (ndr1_0) -> (forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> (~(c3_1 (a2525))) -> False).
% 1.41/1.54 do 0 intro. intros zenon_H2d0 zenon_H12 zenon_H2d zenon_H1d8 zenon_H1d9 zenon_H1d7.
% 1.41/1.54 generalize (zenon_H2d0 (a2525)). zenon_intro zenon_H310.
% 1.41/1.54 apply (zenon_imply_s _ _ zenon_H310); [ zenon_intro zenon_H11 | zenon_intro zenon_H311 ].
% 1.41/1.54 exact (zenon_H11 zenon_H12).
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H311); [ zenon_intro zenon_H249 | zenon_intro zenon_H312 ].
% 1.41/1.54 generalize (zenon_H2d (a2525)). zenon_intro zenon_H243.
% 1.41/1.54 apply (zenon_imply_s _ _ zenon_H243); [ zenon_intro zenon_H11 | zenon_intro zenon_H244 ].
% 1.41/1.54 exact (zenon_H11 zenon_H12).
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H1df | zenon_intro zenon_H245 ].
% 1.41/1.54 exact (zenon_H1df zenon_H1d8).
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H246 | zenon_intro zenon_H1de ].
% 1.41/1.54 exact (zenon_H246 zenon_H249).
% 1.41/1.54 exact (zenon_H1de zenon_H1d9).
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H312); [ zenon_intro zenon_H1dd | zenon_intro zenon_H1de ].
% 1.41/1.54 exact (zenon_H1d7 zenon_H1dd).
% 1.41/1.54 exact (zenon_H1de zenon_H1d9).
% 1.41/1.54 (* end of lemma zenon_L1246_ *)
% 1.41/1.54 assert (zenon_L1247_ : ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(c3_1 (a2525))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42)))))) -> (c3_1 (a2556)) -> (c2_1 (a2556)) -> (c1_1 (a2556)) -> (ndr1_0) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (~(hskp3)) -> False).
% 1.41/1.54 do 0 intro. intros zenon_H4b zenon_H1d7 zenon_H1d9 zenon_H1d8 zenon_H2d0 zenon_H15c zenon_H15b zenon_H15a zenon_H12 zenon_H225 zenon_H226 zenon_H227 zenon_H24 zenon_H25 zenon_H26 zenon_H230 zenon_H49.
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2d | zenon_intro zenon_H4c ].
% 1.41/1.54 apply (zenon_L1246_); trivial.
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H3f | zenon_intro zenon_H4a ].
% 1.41/1.54 apply (zenon_L760_); trivial.
% 1.41/1.54 exact (zenon_H49 zenon_H4a).
% 1.41/1.54 (* end of lemma zenon_L1247_ *)
% 1.41/1.54 assert (zenon_L1248_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (c3_1 (a2529)) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (c0_1 (a2529)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (ndr1_0) -> (c1_1 (a2556)) -> (c2_1 (a2556)) -> (c3_1 (a2556)) -> False).
% 1.41/1.54 do 0 intro. intros zenon_H216 zenon_H10d zenon_H103 zenon_H105 zenon_H42 zenon_H23 zenon_H40 zenon_H230 zenon_H26 zenon_H25 zenon_H24 zenon_H227 zenon_H226 zenon_H225 zenon_H12 zenon_H15a zenon_H15b zenon_H15c.
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H217 ].
% 1.41/1.54 apply (zenon_L280_); trivial.
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H14a | zenon_intro zenon_H3f ].
% 1.41/1.54 apply (zenon_L853_); trivial.
% 1.41/1.54 apply (zenon_L760_); trivial.
% 1.41/1.54 (* end of lemma zenon_L1248_ *)
% 1.41/1.54 assert (zenon_L1249_ : ((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(hskp3)) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> (~(c3_1 (a2525))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (c3_1 (a2529)) -> (c0_1 (a2529)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> False).
% 1.41/1.54 do 0 intro. intros zenon_H173 zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H49 zenon_H1d8 zenon_H1d9 zenon_H1d7 zenon_H4b zenon_H216 zenon_H10d zenon_H103 zenon_H105 zenon_H42 zenon_H40 zenon_H230 zenon_H26 zenon_H25 zenon_H24 zenon_H227 zenon_H226 zenon_H225.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2d9 ].
% 1.41/1.54 apply (zenon_L809_); trivial.
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H23 ].
% 1.41/1.54 apply (zenon_L1247_); trivial.
% 1.41/1.54 apply (zenon_L1248_); trivial.
% 1.41/1.54 (* end of lemma zenon_L1249_ *)
% 1.41/1.54 assert (zenon_L1250_ : ((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> False).
% 1.41/1.54 do 0 intro. intros zenon_H71 zenon_Hb3 zenon_H1ea zenon_H92 zenon_H1b7 zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H3e zenon_H3a zenon_H1a2 zenon_H2d8 zenon_H4b zenon_H49 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H225 zenon_H226 zenon_H227 zenon_H230 zenon_H216 zenon_H10d zenon_H103 zenon_H105 zenon_H177 zenon_H51 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e0 zenon_H1f zenon_H21 zenon_H54.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.41/1.54 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.41/1.54 apply (zenon_L177_); trivial.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H12. zenon_intro zenon_H8f.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H84. zenon_intro zenon_H90.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H82. zenon_intro zenon_H83.
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1b2 ].
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ].
% 1.41/1.54 apply (zenon_L429_); trivial.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H12. zenon_intro zenon_H4e.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H40. zenon_intro zenon_H4f.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H41. zenon_intro zenon_H42.
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.41/1.54 apply (zenon_L1221_); trivial.
% 1.41/1.54 apply (zenon_L1249_); trivial.
% 1.41/1.54 apply (zenon_L432_); trivial.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ].
% 1.41/1.54 apply (zenon_L18_); trivial.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H12. zenon_intro zenon_H4e.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H40. zenon_intro zenon_H4f.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H41. zenon_intro zenon_H42.
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.41/1.54 apply (zenon_L1223_); trivial.
% 1.41/1.54 apply (zenon_L1249_); trivial.
% 1.41/1.54 apply (zenon_L196_); trivial.
% 1.41/1.54 (* end of lemma zenon_L1250_ *)
% 1.41/1.54 assert (zenon_L1251_ : ((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp23)\/(hskp27)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.41/1.54 do 0 intro. intros zenon_H71 zenon_H2f4 zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_Ha2 zenon_H49 zenon_H9d zenon_Hdd zenon_H148 zenon_H146 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H7f zenon_Hcb zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H92 zenon_H2de zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_Hef.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2f1 ].
% 1.41/1.54 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.41/1.54 apply (zenon_L442_); trivial.
% 1.41/1.54 apply (zenon_L1175_); trivial.
% 1.41/1.54 apply (zenon_L897_); trivial.
% 1.41/1.54 (* end of lemma zenon_L1251_ *)
% 1.41/1.54 assert (zenon_L1252_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (~(hskp16)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((hskp23)\/(hskp27)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> False).
% 1.41/1.54 do 0 intro. intros zenon_H74 zenon_H2f4 zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H2de zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_Hef zenon_H27a zenon_H241 zenon_H227 zenon_H226 zenon_H225 zenon_H5 zenon_H144 zenon_H92 zenon_H261 zenon_H262 zenon_H263 zenon_H223 zenon_Hcb zenon_H7f zenon_H1fc zenon_H1fb zenon_H1fa zenon_H146 zenon_H148 zenon_Hdd zenon_H9d zenon_H49 zenon_Ha2 zenon_H1e9 zenon_H54.
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.54 apply (zenon_L492_); trivial.
% 1.41/1.54 apply (zenon_L1251_); trivial.
% 1.41/1.54 (* end of lemma zenon_L1252_ *)
% 1.41/1.54 assert (zenon_L1253_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp23)\/(hskp27)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp16)) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.41/1.54 do 0 intro. intros zenon_H190 zenon_H177 zenon_H230 zenon_H1bc zenon_H11b zenon_H11d zenon_H54 zenon_H1e9 zenon_Ha2 zenon_H49 zenon_H9d zenon_Hdd zenon_H148 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H7f zenon_Hcb zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H92 zenon_H144 zenon_H5 zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_H27a zenon_Hef zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H2de zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2d8 zenon_H2f4 zenon_H74.
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.54 apply (zenon_L1252_); trivial.
% 1.41/1.54 apply (zenon_L842_); trivial.
% 1.41/1.54 (* end of lemma zenon_L1253_ *)
% 1.41/1.54 assert (zenon_L1254_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (ndr1_0) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> False).
% 1.41/1.54 do 0 intro. intros zenon_Hba zenon_H54 zenon_H1f3 zenon_Hae zenon_H148 zenon_H146 zenon_H1b3 zenon_H157 zenon_H27a zenon_H68 zenon_H67 zenon_H66 zenon_H263 zenon_H262 zenon_H261 zenon_H9d zenon_H49 zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H1a2 zenon_H223 zenon_H1b7 zenon_H92 zenon_Ha2 zenon_H152 zenon_Hd6 zenon_H227 zenon_H226 zenon_H225 zenon_H12 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H177.
% 1.41/1.54 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.41/1.54 apply (zenon_L324_); trivial.
% 1.41/1.54 apply (zenon_L633_); trivial.
% 1.41/1.54 (* end of lemma zenon_L1254_ *)
% 1.41/1.54 assert (zenon_L1255_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp23)\/(hskp27)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp16)) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.41/1.54 do 0 intro. intros zenon_H190 zenon_H177 zenon_H230 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H54 zenon_H1e9 zenon_Ha2 zenon_H49 zenon_H9d zenon_Hdd zenon_H148 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H7f zenon_Hcb zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H92 zenon_H144 zenon_H5 zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_H27a zenon_Hef zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H2de zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2d8 zenon_H2f4 zenon_H74.
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.54 apply (zenon_L1252_); trivial.
% 1.41/1.54 apply (zenon_L343_); trivial.
% 1.41/1.54 (* end of lemma zenon_L1255_ *)
% 1.41/1.54 assert (zenon_L1256_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (~(hskp3)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (c2_1 (a2545)) -> (c1_1 (a2545)) -> (~(c0_1 (a2545))) -> (ndr1_0) -> (~(c1_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c3_1 (a2533))) -> (~(hskp19)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> False).
% 1.41/1.54 do 0 intro. intros zenon_Hb3 zenon_H1f3 zenon_H261 zenon_H262 zenon_H49 zenon_Hae zenon_H58 zenon_H57 zenon_H56 zenon_H12 zenon_H2a5 zenon_H2a6 zenon_H2a7 zenon_H3 zenon_H1c7.
% 1.41/1.54 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.41/1.54 apply (zenon_L534_); trivial.
% 1.41/1.54 apply (zenon_L898_); trivial.
% 1.41/1.54 (* end of lemma zenon_L1256_ *)
% 1.41/1.54 assert (zenon_L1257_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> (c0_1 (a2529)) -> (c3_1 (a2529)) -> (c2_1 (a2529)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> (~(hskp29)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(hskp21)) -> (~(hskp26)) -> ((hskp30)\/((hskp21)\/(hskp26))) -> False).
% 1.41/1.54 do 0 intro. intros zenon_H3e zenon_H2d8 zenon_H2fe zenon_H2ff zenon_H300 zenon_H40 zenon_H42 zenon_H41 zenon_H216 zenon_H4b zenon_H49 zenon_H26 zenon_H25 zenon_H24 zenon_H150 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H9 zenon_H1a0 zenon_H1a2.
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H1d | zenon_intro zenon_H39 ].
% 1.41/1.54 apply (zenon_L139_); trivial.
% 1.41/1.54 apply (zenon_L1001_); trivial.
% 1.41/1.54 (* end of lemma zenon_L1257_ *)
% 1.41/1.54 assert (zenon_L1258_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> (~(hskp14)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (~(hskp20)) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (ndr1_0) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(hskp21)) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> False).
% 1.41/1.54 do 0 intro. intros zenon_Hef zenon_Heb zenon_He8 zenon_H1e0 zenon_H77 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H12 zenon_H51 zenon_H177 zenon_H174 zenon_H163 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H49 zenon_H4b zenon_H216 zenon_H300 zenon_H2ff zenon_H2fe zenon_H2d8 zenon_H1a2 zenon_H9 zenon_H24 zenon_H25 zenon_H26 zenon_H3a zenon_H3e zenon_H261 zenon_H262 zenon_H263 zenon_H223 zenon_H1b7 zenon_H92.
% 1.41/1.54 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.41/1.54 apply (zenon_L177_); trivial.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H12. zenon_intro zenon_H8f.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H84. zenon_intro zenon_H90.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H82. zenon_intro zenon_H83.
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1b2 ].
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ].
% 1.41/1.54 apply (zenon_L429_); trivial.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H12. zenon_intro zenon_H4e.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H40. zenon_intro zenon_H4f.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H41. zenon_intro zenon_H42.
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.41/1.54 apply (zenon_L1257_); trivial.
% 1.41/1.54 apply (zenon_L1021_); trivial.
% 1.41/1.54 apply (zenon_L432_); trivial.
% 1.41/1.54 apply (zenon_L65_); trivial.
% 1.41/1.54 (* end of lemma zenon_L1258_ *)
% 1.41/1.54 assert (zenon_L1259_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a2551)) -> (c0_1 (a2551)) -> (~(c2_1 (a2551))) -> (ndr1_0) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> False).
% 1.41/1.54 do 0 intro. intros zenon_H51 zenon_H177 zenon_H174 zenon_Hc7 zenon_H163 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H49 zenon_H4b zenon_H216 zenon_H300 zenon_H2ff zenon_H2fe zenon_H2d8 zenon_H21 zenon_H1f zenon_H16 zenon_H15 zenon_H14 zenon_H12 zenon_H24 zenon_H25 zenon_H26 zenon_H3a zenon_H3e.
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ].
% 1.41/1.54 apply (zenon_L18_); trivial.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H12. zenon_intro zenon_H4e.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H40. zenon_intro zenon_H4f.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H41. zenon_intro zenon_H42.
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H1d | zenon_intro zenon_H39 ].
% 1.41/1.54 apply (zenon_L13_); trivial.
% 1.41/1.54 apply (zenon_L1001_); trivial.
% 1.41/1.54 apply (zenon_L1021_); trivial.
% 1.41/1.54 (* end of lemma zenon_L1259_ *)
% 1.41/1.54 assert (zenon_L1260_ : ((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> (~(c0_1 (a2545))) -> (c1_1 (a2545)) -> (c2_1 (a2545)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.41/1.54 do 0 intro. intros zenon_H50 zenon_H2f4 zenon_H51 zenon_H177 zenon_H174 zenon_H163 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H49 zenon_H4b zenon_H216 zenon_H300 zenon_H2ff zenon_H2fe zenon_H2d8 zenon_H21 zenon_H1f zenon_H24 zenon_H25 zenon_H26 zenon_H3a zenon_H3e zenon_H2de zenon_H56 zenon_H57 zenon_H58 zenon_H189 zenon_Hef.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2f1 ].
% 1.41/1.54 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.41/1.54 apply (zenon_L1259_); trivial.
% 1.41/1.54 apply (zenon_L920_); trivial.
% 1.41/1.54 apply (zenon_L897_); trivial.
% 1.41/1.54 (* end of lemma zenon_L1260_ *)
% 1.41/1.54 assert (zenon_L1261_ : ((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> (~(hskp14)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> (c3_1 (a2521)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c1_1 (a2533))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.41/1.54 do 0 intro. intros zenon_Hb2 zenon_H74 zenon_Hef zenon_Heb zenon_He8 zenon_H1e0 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H51 zenon_H177 zenon_H174 zenon_H163 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H4b zenon_H216 zenon_H300 zenon_H2ff zenon_H2fe zenon_H2d8 zenon_H1a2 zenon_H3a zenon_H3e zenon_H263 zenon_H223 zenon_H1b7 zenon_H92 zenon_H189 zenon_H2de zenon_H1f zenon_H21 zenon_H2f4 zenon_H54 zenon_H1c7 zenon_H2a7 zenon_H2a6 zenon_H2a5 zenon_Hae zenon_H49 zenon_H262 zenon_H261 zenon_H1f3 zenon_Hb3.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.54 apply (zenon_L1256_); trivial.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.41/1.54 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.41/1.54 apply (zenon_L1258_); trivial.
% 1.41/1.54 apply (zenon_L1260_); trivial.
% 1.41/1.54 apply (zenon_L898_); trivial.
% 1.41/1.54 (* end of lemma zenon_L1261_ *)
% 1.41/1.54 assert (zenon_L1262_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> (ndr1_0) -> (~(c1_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c3_1 (a2533))) -> (~(hskp19)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> False).
% 1.41/1.54 do 0 intro. intros zenon_Hb3 zenon_H1e5 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H300 zenon_H2ff zenon_H2fe zenon_H12 zenon_H2a5 zenon_H2a6 zenon_H2a7 zenon_H3 zenon_H1c7.
% 1.41/1.54 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.41/1.54 apply (zenon_L534_); trivial.
% 1.41/1.54 apply (zenon_L954_); trivial.
% 1.41/1.54 (* end of lemma zenon_L1262_ *)
% 1.41/1.54 assert (zenon_L1263_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c1_1 (a2533))) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.41/1.54 do 0 intro. intros zenon_Hfe zenon_H74 zenon_H92 zenon_H1b7 zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H1a2 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_H1e0 zenon_Hef zenon_H2de zenon_H3a zenon_H1f zenon_H21 zenon_H2d8 zenon_H216 zenon_H4b zenon_H49 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H163 zenon_H174 zenon_H177 zenon_H51 zenon_H2f4 zenon_H54 zenon_H1c7 zenon_H2a7 zenon_H2a6 zenon_H2a5 zenon_H2fe zenon_H2ff zenon_H300 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e5 zenon_Hb3.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.54 apply (zenon_L1262_); trivial.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.41/1.54 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.41/1.54 apply (zenon_L606_); trivial.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2f1 ].
% 1.41/1.54 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.41/1.54 apply (zenon_L1259_); trivial.
% 1.41/1.54 apply (zenon_L1175_); trivial.
% 1.41/1.54 apply (zenon_L897_); trivial.
% 1.41/1.54 apply (zenon_L954_); trivial.
% 1.41/1.54 (* end of lemma zenon_L1263_ *)
% 1.41/1.54 assert (zenon_L1264_ : ((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> (~(hskp14)) -> (~(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> False).
% 1.41/1.54 do 0 intro. intros zenon_H50 zenon_Hef zenon_Heb zenon_He8 zenon_H77 zenon_H3e zenon_H3a zenon_H26 zenon_H25 zenon_H24 zenon_H1f zenon_H21 zenon_H2d8 zenon_H2fe zenon_H2ff zenon_H300 zenon_H216 zenon_H4b zenon_H49 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H163 zenon_H174 zenon_H177 zenon_H51.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.41/1.54 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.41/1.54 apply (zenon_L1259_); trivial.
% 1.41/1.54 apply (zenon_L65_); trivial.
% 1.41/1.54 (* end of lemma zenon_L1264_ *)
% 1.41/1.54 assert (zenon_L1265_ : ((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> (~(hskp14)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> False).
% 1.41/1.54 do 0 intro. intros zenon_H71 zenon_Hb3 zenon_H1e5 zenon_Hef zenon_Heb zenon_He8 zenon_H1e0 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H51 zenon_H177 zenon_H174 zenon_H163 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H49 zenon_H4b zenon_H216 zenon_H300 zenon_H2ff zenon_H2fe zenon_H2d8 zenon_H1a2 zenon_H3a zenon_H3e zenon_H261 zenon_H262 zenon_H263 zenon_H223 zenon_H1b7 zenon_H92 zenon_H21 zenon_H1f zenon_H54.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.41/1.54 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.41/1.54 apply (zenon_L1258_); trivial.
% 1.41/1.54 apply (zenon_L1264_); trivial.
% 1.41/1.54 apply (zenon_L954_); trivial.
% 1.41/1.54 (* end of lemma zenon_L1265_ *)
% 1.41/1.54 assert (zenon_L1266_ : ((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> (~(hskp21)) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(hskp23)) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> False).
% 1.41/1.54 do 0 intro. intros zenon_H8d zenon_H1b7 zenon_H3e zenon_H3a zenon_H26 zenon_H25 zenon_H24 zenon_H9 zenon_H1a2 zenon_H2d8 zenon_H122 zenon_H121 zenon_H120 zenon_H105 zenon_H103 zenon_H10d zenon_H216 zenon_H4b zenon_H49 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H163 zenon_Hc7 zenon_H2fe zenon_H2ff zenon_H300 zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H174 zenon_H177 zenon_H51.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H12. zenon_intro zenon_H8f.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H84. zenon_intro zenon_H90.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H82. zenon_intro zenon_H83.
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1b2 ].
% 1.41/1.54 apply (zenon_L1015_); trivial.
% 1.41/1.54 apply (zenon_L432_); trivial.
% 1.41/1.54 (* end of lemma zenon_L1266_ *)
% 1.41/1.54 assert (zenon_L1267_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> (~(hskp24)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> (~(hskp23)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(hskp21)) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> False).
% 1.41/1.54 do 0 intro. intros zenon_H92 zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H51 zenon_H177 zenon_H174 zenon_H7b zenon_H7f zenon_H300 zenon_H2ff zenon_H2fe zenon_Hc7 zenon_H163 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H49 zenon_H4b zenon_H216 zenon_H10d zenon_H103 zenon_H105 zenon_H120 zenon_H121 zenon_H122 zenon_H2d8 zenon_H1a2 zenon_H9 zenon_H24 zenon_H25 zenon_H26 zenon_H3a zenon_H3e zenon_H1b7.
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.41/1.54 apply (zenon_L1014_); trivial.
% 1.41/1.54 apply (zenon_L1266_); trivial.
% 1.41/1.54 (* end of lemma zenon_L1267_ *)
% 1.41/1.54 assert (zenon_L1268_ : ((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> (~(hskp21)) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(hskp23)) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> False).
% 1.41/1.54 do 0 intro. intros zenon_H9f zenon_H92 zenon_H1b7 zenon_H3e zenon_H3a zenon_H26 zenon_H25 zenon_H24 zenon_H9 zenon_H1a2 zenon_H2d8 zenon_H122 zenon_H121 zenon_H120 zenon_H105 zenon_H103 zenon_H10d zenon_H216 zenon_H4b zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H163 zenon_Hc7 zenon_H2fe zenon_H2ff zenon_H300 zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H174 zenon_H177 zenon_H51 zenon_H49 zenon_H9d.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H12. zenon_intro zenon_Ha0.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H95. zenon_intro zenon_Ha1.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H96. zenon_intro zenon_H94.
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.41/1.54 apply (zenon_L44_); trivial.
% 1.41/1.54 apply (zenon_L1266_); trivial.
% 1.41/1.54 (* end of lemma zenon_L1268_ *)
% 1.41/1.54 assert (zenon_L1269_ : ((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> (~(hskp14)) -> (~(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> False).
% 1.41/1.54 do 0 intro. intros zenon_H50 zenon_Hef zenon_Heb zenon_He8 zenon_H77 zenon_H3e zenon_H3a zenon_H26 zenon_H25 zenon_H24 zenon_H1f zenon_H21 zenon_H2d8 zenon_H122 zenon_H121 zenon_H120 zenon_H105 zenon_H103 zenon_H10d zenon_H216 zenon_H4b zenon_H49 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H163 zenon_H2fe zenon_H2ff zenon_H300 zenon_H174 zenon_H177 zenon_H51.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.41/1.54 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.41/1.54 apply (zenon_L1022_); trivial.
% 1.41/1.54 apply (zenon_L65_); trivial.
% 1.41/1.54 (* end of lemma zenon_L1269_ *)
% 1.41/1.54 assert (zenon_L1270_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> (~(hskp21)) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.41/1.54 do 0 intro. intros zenon_H2f4 zenon_Ha2 zenon_H9d zenon_H1b7 zenon_H3e zenon_H3a zenon_H26 zenon_H25 zenon_H24 zenon_H9 zenon_H1a2 zenon_H2d8 zenon_H122 zenon_H121 zenon_H120 zenon_H105 zenon_H103 zenon_H10d zenon_H216 zenon_H4b zenon_H49 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H163 zenon_H2fe zenon_H2ff zenon_H300 zenon_H7f zenon_H174 zenon_H177 zenon_H51 zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H261 zenon_H262 zenon_H263 zenon_H223 zenon_H92 zenon_H2de zenon_Hef.
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2f1 ].
% 1.41/1.54 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.41/1.54 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.41/1.54 apply (zenon_L1014_); trivial.
% 1.41/1.54 apply (zenon_L605_); trivial.
% 1.41/1.54 apply (zenon_L628_); trivial.
% 1.41/1.54 apply (zenon_L1175_); trivial.
% 1.41/1.54 apply (zenon_L897_); trivial.
% 1.41/1.54 (* end of lemma zenon_L1270_ *)
% 1.41/1.54 assert (zenon_L1271_ : ((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> False).
% 1.41/1.54 do 0 intro. intros zenon_H71 zenon_H54 zenon_H21 zenon_H1f zenon_Hef zenon_H2de zenon_H92 zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H51 zenon_H177 zenon_H174 zenon_H7f zenon_H300 zenon_H2ff zenon_H2fe zenon_H163 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H49 zenon_H4b zenon_H216 zenon_H10d zenon_H103 zenon_H105 zenon_H120 zenon_H121 zenon_H122 zenon_H2d8 zenon_H1a2 zenon_H3a zenon_H3e zenon_H1b7 zenon_H9d zenon_Ha2 zenon_H2f4.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.41/1.54 apply (zenon_L1270_); trivial.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.41/1.54 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.41/1.54 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2f1 ].
% 1.41/1.55 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.41/1.55 apply (zenon_L1022_); trivial.
% 1.41/1.55 apply (zenon_L1175_); trivial.
% 1.41/1.55 apply (zenon_L897_); trivial.
% 1.41/1.55 (* end of lemma zenon_L1271_ *)
% 1.41/1.55 assert (zenon_L1272_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> (~(hskp6)) -> (~(hskp16)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> False).
% 1.41/1.55 do 0 intro. intros zenon_H74 zenon_H54 zenon_H21 zenon_H1f zenon_Hef zenon_H2de zenon_H92 zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H51 zenon_H177 zenon_H174 zenon_H7f zenon_H300 zenon_H2ff zenon_H2fe zenon_H163 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H49 zenon_H4b zenon_H216 zenon_H10d zenon_H103 zenon_H105 zenon_H120 zenon_H121 zenon_H122 zenon_H2d8 zenon_H1a2 zenon_H3a zenon_H3e zenon_H1b7 zenon_H9d zenon_Ha2 zenon_H2f4 zenon_H1 zenon_H5 zenon_H7.
% 1.41/1.55 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.55 apply (zenon_L4_); trivial.
% 1.41/1.55 apply (zenon_L1271_); trivial.
% 1.41/1.55 (* end of lemma zenon_L1272_ *)
% 1.41/1.55 assert (zenon_L1273_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c1_1 (a2533))) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.41/1.55 do 0 intro. intros zenon_H18d zenon_H74 zenon_H1ea zenon_Hef zenon_H51 zenon_H189 zenon_H2de zenon_H3a zenon_H3e zenon_H1e0 zenon_H2d8 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H163 zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H216 zenon_H174 zenon_H177 zenon_H92 zenon_H2f4 zenon_H1c7 zenon_H2a7 zenon_H2a6 zenon_H2a5 zenon_H2fe zenon_H2ff zenon_H300 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e5 zenon_Hb3.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.41/1.55 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.55 apply (zenon_L1262_); trivial.
% 1.41/1.55 apply (zenon_L1115_); trivial.
% 1.41/1.55 (* end of lemma zenon_L1273_ *)
% 1.41/1.55 assert (zenon_L1274_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (~(c1_1 (a2521))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (ndr1_0) -> (~(c1_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c3_1 (a2533))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> (~(hskp14)) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.41/1.55 do 0 intro. intros zenon_H190 zenon_H51 zenon_H189 zenon_H2de zenon_H3a zenon_H3e zenon_H1e0 zenon_H2d8 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H163 zenon_H223 zenon_H216 zenon_H174 zenon_H177 zenon_H92 zenon_H2f4 zenon_H2fe zenon_H2ff zenon_H300 zenon_Hb3 zenon_H1e5 zenon_H261 zenon_H263 zenon_H262 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1ea zenon_H12 zenon_H2a5 zenon_H2a6 zenon_H2a7 zenon_H1c7 zenon_Hef zenon_Heb zenon_He8 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_Hdd zenon_H74.
% 1.41/1.55 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.55 apply (zenon_L1227_); trivial.
% 1.41/1.55 apply (zenon_L1273_); trivial.
% 1.41/1.55 (* end of lemma zenon_L1274_ *)
% 1.41/1.55 assert (zenon_L1275_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c0_1 (a2536))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (ndr1_0) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((hskp18)\/(hskp10))) -> False).
% 1.41/1.55 do 0 intro. intros zenon_Hba zenon_H54 zenon_H177 zenon_H1f3 zenon_Hae zenon_H1fb zenon_H1fc zenon_H1fa zenon_H148 zenon_H146 zenon_H1b3 zenon_H152 zenon_H157 zenon_H27a zenon_H68 zenon_H67 zenon_H66 zenon_H263 zenon_H262 zenon_H261 zenon_H9d zenon_H49 zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H1a2 zenon_H223 zenon_H1b7 zenon_H92 zenon_Ha2 zenon_H12 zenon_H2fe zenon_H2ff zenon_H300 zenon_Hd6 zenon_H307.
% 1.41/1.55 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.41/1.55 apply (zenon_L1005_); trivial.
% 1.41/1.55 apply (zenon_L633_); trivial.
% 1.41/1.55 (* end of lemma zenon_L1275_ *)
% 1.41/1.55 assert (zenon_L1276_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((hskp18)\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c2_1 (a2524))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.41/1.55 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_Hef zenon_H189 zenon_H18b zenon_H163 zenon_H216 zenon_H174 zenon_H11d zenon_H11b zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H2d8 zenon_H20d zenon_H307 zenon_Hd6 zenon_H300 zenon_H2ff zenon_H2fe zenon_Ha2 zenon_H92 zenon_H1b7 zenon_H223 zenon_H1a2 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_H49 zenon_H9d zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_H157 zenon_H152 zenon_H1b3 zenon_H148 zenon_H1fa zenon_H1fc zenon_H1fb zenon_Hae zenon_H1f3 zenon_H177 zenon_H54 zenon_Hba.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.41/1.55 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.55 apply (zenon_L1275_); trivial.
% 1.41/1.55 apply (zenon_L977_); trivial.
% 1.41/1.55 (* end of lemma zenon_L1276_ *)
% 1.41/1.55 assert (zenon_L1277_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((hskp18)\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp23)\/(hskp27)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> (~(hskp6)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.41/1.55 do 0 intro. intros zenon_Hfe zenon_Hb9 zenon_H18b zenon_H307 zenon_Hd6 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H157 zenon_H152 zenon_H1b3 zenon_Hae zenon_H74 zenon_H54 zenon_H21 zenon_H1f zenon_Ha2 zenon_H49 zenon_H9d zenon_Hdd zenon_H148 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H7f zenon_Hcb zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H92 zenon_H1b7 zenon_H3e zenon_H3a zenon_H1a2 zenon_H203 zenon_H51 zenon_H27a zenon_Hef zenon_H1 zenon_H7 zenon_H177 zenon_H20d zenon_H2d8 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H11b zenon_H11d zenon_H189 zenon_H2de zenon_H163 zenon_H2fe zenon_H2ff zenon_H300 zenon_H216 zenon_H174 zenon_H1f3 zenon_H2f4 zenon_Hba zenon_H190.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.41/1.55 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.55 apply (zenon_L975_); trivial.
% 1.41/1.55 apply (zenon_L1276_); trivial.
% 1.41/1.55 (* end of lemma zenon_L1277_ *)
% 1.41/1.55 assert (zenon_L1278_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((hskp18)\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c2_1 (a2524))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.41/1.55 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_Hef zenon_H189 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H163 zenon_H174 zenon_H307 zenon_Hd6 zenon_H300 zenon_H2ff zenon_H2fe zenon_Ha2 zenon_H92 zenon_H1b7 zenon_H223 zenon_H1a2 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_H49 zenon_H9d zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_H157 zenon_H152 zenon_H1b3 zenon_H148 zenon_H1fa zenon_H1fc zenon_H1fb zenon_Hae zenon_H1f3 zenon_H177 zenon_H54 zenon_Hba.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.41/1.55 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.55 apply (zenon_L1275_); trivial.
% 1.41/1.55 apply (zenon_L150_); trivial.
% 1.41/1.55 (* end of lemma zenon_L1278_ *)
% 1.41/1.55 assert (zenon_L1279_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((hskp18)\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp23)\/(hskp27)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> (~(hskp6)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.41/1.55 do 0 intro. intros zenon_Hfe zenon_Hb9 zenon_H307 zenon_Hd6 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H157 zenon_H152 zenon_H1b3 zenon_Hae zenon_H74 zenon_H54 zenon_H21 zenon_H1f zenon_Ha2 zenon_H49 zenon_H9d zenon_Hdd zenon_H148 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H7f zenon_Hcb zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H92 zenon_H1b7 zenon_H3e zenon_H3a zenon_H1a2 zenon_H203 zenon_H51 zenon_H27a zenon_Hef zenon_H1 zenon_H7 zenon_H177 zenon_H20d zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H1f3 zenon_H174 zenon_H216 zenon_H300 zenon_H2ff zenon_H2fe zenon_H163 zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H189 zenon_Hba zenon_H190.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.41/1.55 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.55 apply (zenon_L987_); trivial.
% 1.41/1.55 apply (zenon_L1278_); trivial.
% 1.41/1.55 (* end of lemma zenon_L1279_ *)
% 1.41/1.55 assert (zenon_L1280_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> False).
% 1.41/1.55 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_Hba zenon_Hef zenon_H189 zenon_H18b zenon_H163 zenon_H216 zenon_H300 zenon_H2ff zenon_H2fe zenon_H1f3 zenon_H174 zenon_H11d zenon_H11b zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H2d8 zenon_H20d zenon_H177 zenon_Ha2 zenon_H92 zenon_H1b7 zenon_H223 zenon_H1a2 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_H49 zenon_H9d zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_H148 zenon_H10d zenon_H103 zenon_H105 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H1b3 zenon_H54.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.41/1.55 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.55 apply (zenon_L638_); trivial.
% 1.41/1.55 apply (zenon_L977_); trivial.
% 1.41/1.55 (* end of lemma zenon_L1280_ *)
% 1.41/1.55 assert (zenon_L1281_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c0_1 (a2536))) -> (~(c1_1 (a2536))) -> (~(c3_1 (a2536))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> False).
% 1.41/1.55 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_Hba zenon_Hef zenon_H189 zenon_H18b zenon_H163 zenon_H216 zenon_H300 zenon_H2ff zenon_H2fe zenon_H1f3 zenon_H174 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H20d zenon_H177 zenon_Ha2 zenon_H92 zenon_H1b7 zenon_H223 zenon_H1a2 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_H49 zenon_H9d zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_H148 zenon_H10d zenon_H103 zenon_H105 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H1b3 zenon_H54.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.41/1.55 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.55 apply (zenon_L638_); trivial.
% 1.41/1.55 apply (zenon_L989_); trivial.
% 1.41/1.55 (* end of lemma zenon_L1281_ *)
% 1.41/1.55 assert (zenon_L1282_ : ((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((hskp23)\/(hskp27)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> (~(hskp6)) -> ((hskp6)\/((hskp19)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.41/1.55 do 0 intro. intros zenon_Hfe zenon_Hb9 zenon_H18b zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H10d zenon_H103 zenon_H105 zenon_H1b3 zenon_H74 zenon_H54 zenon_H21 zenon_H1f zenon_Ha2 zenon_H49 zenon_H9d zenon_Hdd zenon_H148 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H7f zenon_Hcb zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H92 zenon_H1b7 zenon_H3e zenon_H3a zenon_H1a2 zenon_H203 zenon_H51 zenon_H27a zenon_Hef zenon_H1 zenon_H7 zenon_H177 zenon_H20d zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H1f3 zenon_H174 zenon_H216 zenon_H300 zenon_H2ff zenon_H2fe zenon_H163 zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H189 zenon_Hba zenon_H190.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.41/1.55 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.55 apply (zenon_L987_); trivial.
% 1.41/1.55 apply (zenon_L1281_); trivial.
% 1.41/1.55 (* end of lemma zenon_L1282_ *)
% 1.41/1.55 assert (zenon_L1283_ : ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(c3_1 (a2525))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42)))))) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> (ndr1_0) -> (forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32)))))) -> (~(hskp3)) -> False).
% 1.41/1.55 do 0 intro. intros zenon_H4b zenon_H1d7 zenon_H1d9 zenon_H1d8 zenon_H2d0 zenon_H26 zenon_H25 zenon_H24 zenon_H12 zenon_H118 zenon_H49.
% 1.41/1.55 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2d | zenon_intro zenon_H4c ].
% 1.41/1.55 apply (zenon_L1246_); trivial.
% 1.41/1.55 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H3f | zenon_intro zenon_H4a ].
% 1.41/1.55 apply (zenon_L361_); trivial.
% 1.41/1.55 exact (zenon_H49 zenon_H4a).
% 1.41/1.55 (* end of lemma zenon_L1283_ *)
% 1.41/1.55 assert (zenon_L1284_ : ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (~(hskp3)) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> (forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42)))))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> (~(c3_1 (a2525))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (ndr1_0) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> False).
% 1.41/1.55 do 0 intro. intros zenon_H230 zenon_H49 zenon_H24 zenon_H25 zenon_H26 zenon_H2d0 zenon_H1d8 zenon_H1d9 zenon_H1d7 zenon_H4b zenon_H227 zenon_H226 zenon_H225 zenon_H12 zenon_Ha3 zenon_H2fe zenon_H2ff zenon_H300.
% 1.41/1.55 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H118 | zenon_intro zenon_H231 ].
% 1.41/1.55 apply (zenon_L1283_); trivial.
% 1.41/1.55 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H154 | zenon_intro zenon_H159 ].
% 1.41/1.55 apply (zenon_L256_); trivial.
% 1.41/1.55 apply (zenon_L1142_); trivial.
% 1.41/1.55 (* end of lemma zenon_L1284_ *)
% 1.41/1.55 assert (zenon_L1285_ : ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(c3_1 (a2525))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> (ndr1_0) -> (c0_1 (a2529)) -> (c2_1 (a2529)) -> (c3_1 (a2529)) -> False).
% 1.41/1.55 do 0 intro. intros zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_Ha3 zenon_H225 zenon_H226 zenon_H227 zenon_H4b zenon_H1d7 zenon_H1d9 zenon_H1d8 zenon_H26 zenon_H25 zenon_H24 zenon_H49 zenon_H230 zenon_H216 zenon_H300 zenon_H2ff zenon_H2fe zenon_H12 zenon_H40 zenon_H41 zenon_H42.
% 1.41/1.55 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2d9 ].
% 1.41/1.55 apply (zenon_L809_); trivial.
% 1.41/1.55 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H23 ].
% 1.41/1.55 apply (zenon_L1284_); trivial.
% 1.41/1.55 apply (zenon_L968_); trivial.
% 1.41/1.55 (* end of lemma zenon_L1285_ *)
% 1.41/1.55 assert (zenon_L1286_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> (ndr1_0) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> False).
% 1.41/1.55 do 0 intro. intros zenon_H1e5 zenon_H262 zenon_H261 zenon_H93 zenon_H300 zenon_H2ff zenon_H2fe zenon_H12 zenon_H1d7 zenon_H1d8 zenon_H1d9.
% 1.41/1.55 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H1e6 ].
% 1.41/1.55 apply (zenon_L426_); trivial.
% 1.41/1.55 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1d6 ].
% 1.41/1.55 apply (zenon_L953_); trivial.
% 1.41/1.55 apply (zenon_L176_); trivial.
% 1.41/1.55 (* end of lemma zenon_L1286_ *)
% 1.41/1.55 assert (zenon_L1287_ : ((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (~(hskp3)) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2545)) -> (c1_1 (a2545)) -> (~(c0_1 (a2545))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> False).
% 1.41/1.55 do 0 intro. intros zenon_H4d zenon_H1f3 zenon_H216 zenon_H230 zenon_H49 zenon_H24 zenon_H25 zenon_H26 zenon_H4b zenon_H227 zenon_H226 zenon_H225 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2d8 zenon_H58 zenon_H57 zenon_H56 zenon_H1e5 zenon_H262 zenon_H261 zenon_H300 zenon_H2ff zenon_H2fe zenon_H1d7 zenon_H1d8 zenon_H1d9.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H12. zenon_intro zenon_H4e.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H40. zenon_intro zenon_H4f.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H41. zenon_intro zenon_H42.
% 1.41/1.55 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H1f4 ].
% 1.41/1.55 apply (zenon_L1285_); trivial.
% 1.41/1.55 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H55 | zenon_intro zenon_H93 ].
% 1.41/1.55 apply (zenon_L25_); trivial.
% 1.41/1.55 apply (zenon_L1286_); trivial.
% 1.41/1.55 (* end of lemma zenon_L1287_ *)
% 1.41/1.55 assert (zenon_L1288_ : ((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2545)) -> (c1_1 (a2545)) -> (~(c0_1 (a2545))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> (~(c3_1 (a2525))) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> False).
% 1.41/1.55 do 0 intro. intros zenon_H50 zenon_H51 zenon_H1f3 zenon_H261 zenon_H262 zenon_H1e5 zenon_H58 zenon_H57 zenon_H56 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H230 zenon_H300 zenon_H2ff zenon_H2fe zenon_H227 zenon_H226 zenon_H225 zenon_H1d8 zenon_H1d9 zenon_H1d7 zenon_H49 zenon_H4b zenon_H216 zenon_H2d8 zenon_H21 zenon_H1f zenon_H24 zenon_H25 zenon_H26 zenon_H3a zenon_H3e.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.41/1.55 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ].
% 1.41/1.55 apply (zenon_L18_); trivial.
% 1.41/1.55 apply (zenon_L1287_); trivial.
% 1.41/1.55 (* end of lemma zenon_L1288_ *)
% 1.41/1.55 assert (zenon_L1289_ : ((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp3)) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(c0_1 (a2545))) -> (c1_1 (a2545)) -> (c2_1 (a2545)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> False).
% 1.41/1.55 do 0 intro. intros zenon_H71 zenon_Hb3 zenon_H1ea zenon_H92 zenon_H1b7 zenon_H223 zenon_H263 zenon_H3e zenon_H3a zenon_H1a2 zenon_H2d8 zenon_H216 zenon_H4b zenon_H49 zenon_H225 zenon_H226 zenon_H227 zenon_H2fe zenon_H2ff zenon_H300 zenon_H230 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H56 zenon_H57 zenon_H58 zenon_H1e5 zenon_H262 zenon_H261 zenon_H1f3 zenon_H51 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e0 zenon_H1f zenon_H21 zenon_H54.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.41/1.55 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.41/1.55 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.41/1.55 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.41/1.55 apply (zenon_L177_); trivial.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H12. zenon_intro zenon_H8f.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H84. zenon_intro zenon_H90.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H82. zenon_intro zenon_H83.
% 1.41/1.55 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1b2 ].
% 1.41/1.55 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ].
% 1.41/1.55 apply (zenon_L429_); trivial.
% 1.41/1.55 apply (zenon_L1287_); trivial.
% 1.41/1.55 apply (zenon_L432_); trivial.
% 1.41/1.55 apply (zenon_L1288_); trivial.
% 1.41/1.55 apply (zenon_L421_); trivial.
% 1.41/1.55 (* end of lemma zenon_L1289_ *)
% 1.41/1.55 assert (zenon_L1290_ : ((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp3)) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c1_1 (a2533))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.41/1.55 do 0 intro. intros zenon_Hb2 zenon_H74 zenon_H92 zenon_H1b7 zenon_H223 zenon_H3e zenon_H3a zenon_H1a2 zenon_H2d8 zenon_H216 zenon_H4b zenon_H49 zenon_H225 zenon_H226 zenon_H227 zenon_H2fe zenon_H2ff zenon_H300 zenon_H230 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H1f3 zenon_H51 zenon_H1e0 zenon_H1f zenon_H21 zenon_H54 zenon_H1c7 zenon_H2a7 zenon_H2a6 zenon_H2a5 zenon_H1ea zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H262 zenon_H263 zenon_H261 zenon_H1e5 zenon_Hb3.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.41/1.55 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.55 apply (zenon_L604_); trivial.
% 1.41/1.55 apply (zenon_L1289_); trivial.
% 1.41/1.55 (* end of lemma zenon_L1290_ *)
% 1.41/1.55 assert (zenon_L1291_ : ((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (~(hskp3)) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp11)) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> False).
% 1.41/1.55 do 0 intro. intros zenon_H4d zenon_H1e5 zenon_H2fe zenon_H2ff zenon_H300 zenon_H216 zenon_H230 zenon_H49 zenon_H24 zenon_H25 zenon_H26 zenon_H4b zenon_H227 zenon_H226 zenon_H225 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2d8 zenon_H11b zenon_H10d zenon_H103 zenon_H105 zenon_H11d zenon_H1d7 zenon_H1d8 zenon_H1d9.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H12. zenon_intro zenon_H4e.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H40. zenon_intro zenon_H4f.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H41. zenon_intro zenon_H42.
% 1.41/1.55 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H1e6 ].
% 1.41/1.55 apply (zenon_L1285_); trivial.
% 1.41/1.55 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1d6 ].
% 1.41/1.55 apply (zenon_L185_); trivial.
% 1.41/1.55 apply (zenon_L176_); trivial.
% 1.41/1.55 (* end of lemma zenon_L1291_ *)
% 1.41/1.55 assert (zenon_L1292_ : ((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c1_1 (a2528))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> (~(c3_1 (a2525))) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> False).
% 1.41/1.55 do 0 intro. intros zenon_H50 zenon_H51 zenon_H1e5 zenon_H103 zenon_H105 zenon_H10d zenon_H11b zenon_H11d zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H230 zenon_H300 zenon_H2ff zenon_H2fe zenon_H227 zenon_H226 zenon_H225 zenon_H1d8 zenon_H1d9 zenon_H1d7 zenon_H49 zenon_H4b zenon_H216 zenon_H2d8 zenon_H21 zenon_H1f zenon_H24 zenon_H25 zenon_H26 zenon_H3a zenon_H3e.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.41/1.55 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ].
% 1.41/1.55 apply (zenon_L18_); trivial.
% 1.41/1.55 apply (zenon_L1291_); trivial.
% 1.41/1.55 (* end of lemma zenon_L1292_ *)
% 1.41/1.55 assert (zenon_L1293_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (~(hskp20)) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (ndr1_0) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c1_1 (a2528))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> False).
% 1.41/1.55 do 0 intro. intros zenon_H54 zenon_H21 zenon_H1f zenon_H1e0 zenon_H77 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H12 zenon_H51 zenon_H1e5 zenon_H103 zenon_H105 zenon_H10d zenon_H11b zenon_H11d zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H230 zenon_H300 zenon_H2ff zenon_H2fe zenon_H227 zenon_H226 zenon_H225 zenon_H49 zenon_H4b zenon_H216 zenon_H2d8 zenon_H1a2 zenon_H24 zenon_H25 zenon_H26 zenon_H3a zenon_H3e zenon_H261 zenon_H262 zenon_H263 zenon_H223 zenon_H1b7 zenon_H92.
% 1.41/1.55 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.41/1.55 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.41/1.55 apply (zenon_L177_); trivial.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H12. zenon_intro zenon_H8f.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H84. zenon_intro zenon_H90.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H82. zenon_intro zenon_H83.
% 1.41/1.55 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1b2 ].
% 1.41/1.55 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ].
% 1.41/1.55 apply (zenon_L429_); trivial.
% 1.41/1.55 apply (zenon_L1291_); trivial.
% 1.41/1.55 apply (zenon_L432_); trivial.
% 1.41/1.55 apply (zenon_L1292_); trivial.
% 1.41/1.55 (* end of lemma zenon_L1293_ *)
% 1.41/1.55 assert (zenon_L1294_ : ((~(hskp12))\/((ndr1_0)/\((~(c1_1 (a2533)))/\((~(c2_1 (a2533)))/\(~(c3_1 (a2533))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp3)) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a2528))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> (ndr1_0) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp12))) -> False).
% 1.41/1.55 do 0 intro. intros zenon_H2ae zenon_H74 zenon_H1ea zenon_H92 zenon_H1b7 zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H3e zenon_H3a zenon_H1a2 zenon_H2d8 zenon_H216 zenon_H4b zenon_H49 zenon_H225 zenon_H226 zenon_H227 zenon_H230 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H11d zenon_H11b zenon_H10d zenon_H105 zenon_H103 zenon_H51 zenon_H1e0 zenon_H1f zenon_H21 zenon_H54 zenon_H1c7 zenon_H2fe zenon_H2ff zenon_H300 zenon_H1e5 zenon_Hb3 zenon_H12 zenon_H296 zenon_H297 zenon_H298 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H2a3.
% 1.41/1.55 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.41/1.55 apply (zenon_L532_); trivial.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.41/1.55 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.55 apply (zenon_L1262_); trivial.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.41/1.55 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.41/1.55 apply (zenon_L1293_); trivial.
% 1.41/1.55 apply (zenon_L421_); trivial.
% 1.41/1.55 (* end of lemma zenon_L1294_ *)
% 1.41/1.55 assert (zenon_L1295_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp16)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c1_1 (a2533))) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.41/1.55 do 0 intro. intros zenon_H18d zenon_H74 zenon_H92 zenon_H177 zenon_H174 zenon_H216 zenon_H261 zenon_H262 zenon_H263 zenon_H223 zenon_H163 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H2d8 zenon_H1e0 zenon_H144 zenon_H5 zenon_H27a zenon_H134 zenon_H133 zenon_H132 zenon_Ha2 zenon_Hef zenon_H1c7 zenon_H2a7 zenon_H2a6 zenon_H2a5 zenon_H2fe zenon_H2ff zenon_H300 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e5 zenon_Hb3.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.41/1.55 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.55 apply (zenon_L1262_); trivial.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.41/1.55 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.41/1.55 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.41/1.55 apply (zenon_L1114_); trivial.
% 1.41/1.55 apply (zenon_L473_); trivial.
% 1.41/1.55 apply (zenon_L954_); trivial.
% 1.41/1.55 (* end of lemma zenon_L1295_ *)
% 1.41/1.55 assert (zenon_L1296_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c1_1 (a2533))) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.41/1.55 do 0 intro. intros zenon_H190 zenon_H74 zenon_H92 zenon_H177 zenon_H174 zenon_H216 zenon_H223 zenon_H163 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H2d8 zenon_H1e0 zenon_H1c7 zenon_H2a7 zenon_H2a6 zenon_H2a5 zenon_H2fe zenon_H2ff zenon_H300 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e5 zenon_Hb3 zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H144 zenon_H5 zenon_H261 zenon_H262 zenon_H263 zenon_H27a zenon_Ha2 zenon_Hef.
% 1.41/1.55 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.55 apply (zenon_L474_); trivial.
% 1.41/1.55 apply (zenon_L1295_); trivial.
% 1.41/1.55 (* end of lemma zenon_L1296_ *)
% 1.41/1.55 assert (zenon_L1297_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c2_1 (a2545)) -> (c1_1 (a2545)) -> (~(c0_1 (a2545))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (ndr1_0) -> (~(c1_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c3_1 (a2533))) -> (~(hskp19)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> False).
% 1.41/1.55 do 0 intro. intros zenon_Hb3 zenon_Ha2 zenon_H1f3 zenon_H58 zenon_H57 zenon_H56 zenon_H261 zenon_H262 zenon_H263 zenon_H66 zenon_H67 zenon_H68 zenon_H27a zenon_H12 zenon_H2a5 zenon_H2a6 zenon_H2a7 zenon_H3 zenon_H1c7.
% 1.41/1.55 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.41/1.55 apply (zenon_L534_); trivial.
% 1.41/1.55 apply (zenon_L1092_); trivial.
% 1.41/1.55 (* end of lemma zenon_L1297_ *)
% 1.41/1.55 assert (zenon_L1298_ : ((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2545)) -> (c1_1 (a2545)) -> (~(c0_1 (a2545))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> (~(c3_1 (a2525))) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> (~(hskp22)) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> False).
% 1.41/1.55 do 0 intro. intros zenon_Hea zenon_H51 zenon_H1f3 zenon_H261 zenon_H262 zenon_H1e5 zenon_H58 zenon_H57 zenon_H56 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H230 zenon_H300 zenon_H2ff zenon_H2fe zenon_H227 zenon_H226 zenon_H225 zenon_H1d8 zenon_H1d9 zenon_H1d7 zenon_H49 zenon_H4b zenon_H216 zenon_H2d8 zenon_H2de zenon_H2dc zenon_H24 zenon_H25 zenon_H26 zenon_H3a zenon_H3e.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.41/1.55 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ].
% 1.41/1.55 apply (zenon_L910_); trivial.
% 1.41/1.55 apply (zenon_L1287_); trivial.
% 1.41/1.55 (* end of lemma zenon_L1298_ *)
% 1.41/1.55 assert (zenon_L1299_ : ((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp3)) -> (~(c3_1 (a2525))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c1_1 (a2533))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.41/1.55 do 0 intro. intros zenon_Hb2 zenon_H74 zenon_H2f4 zenon_Hdd zenon_H148 zenon_H146 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H3e zenon_H3a zenon_H2de zenon_H2d8 zenon_H216 zenon_H4b zenon_H49 zenon_H1d7 zenon_H1d9 zenon_H1d8 zenon_H225 zenon_H226 zenon_H227 zenon_H2fe zenon_H2ff zenon_H300 zenon_H230 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H1e5 zenon_H51 zenon_Hef zenon_H1c7 zenon_H2a7 zenon_H2a6 zenon_H2a5 zenon_H27a zenon_H68 zenon_H67 zenon_H66 zenon_H263 zenon_H262 zenon_H261 zenon_H1f3 zenon_Ha2 zenon_Hb3.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.41/1.55 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.55 apply (zenon_L1297_); trivial.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.41/1.55 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2f1 ].
% 1.41/1.55 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.41/1.55 apply (zenon_L100_); trivial.
% 1.41/1.55 apply (zenon_L1298_); trivial.
% 1.41/1.55 apply (zenon_L897_); trivial.
% 1.41/1.55 (* end of lemma zenon_L1299_ *)
% 1.41/1.55 assert (zenon_L1300_ : ((ndr1_0)/\((~(c1_1 (a2533)))/\((~(c2_1 (a2533)))/\(~(c3_1 (a2533)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((hskp18)\/(hskp10))) -> (~(hskp10)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.41/1.55 do 0 intro. intros zenon_H2af zenon_Hb9 zenon_H1ea zenon_H189 zenon_H307 zenon_Hd6 zenon_H1f3 zenon_H51 zenon_H230 zenon_H227 zenon_H226 zenon_H225 zenon_H49 zenon_H4b zenon_H2de zenon_H3a zenon_H3e zenon_H2f4 zenon_Hba zenon_Hef zenon_Ha2 zenon_H27a zenon_H263 zenon_H262 zenon_H261 zenon_H144 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_Hdd zenon_Hb3 zenon_H1e5 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H300 zenon_H2ff zenon_H2fe zenon_H1c7 zenon_H1e0 zenon_H2d8 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H163 zenon_H223 zenon_H216 zenon_H174 zenon_H177 zenon_H92 zenon_H74 zenon_H190.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.41/1.55 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.55 apply (zenon_L1296_); trivial.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.41/1.55 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.55 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.41/1.55 apply (zenon_L1005_); trivial.
% 1.41/1.55 apply (zenon_L1299_); trivial.
% 1.41/1.55 apply (zenon_L1273_); trivial.
% 1.41/1.55 (* end of lemma zenon_L1300_ *)
% 1.41/1.55 assert (zenon_L1301_ : ((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c1_1 (a2528))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> (~(c3_1 (a2525))) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> (~(hskp22)) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> False).
% 1.41/1.55 do 0 intro. intros zenon_Hea zenon_H51 zenon_H1e5 zenon_H103 zenon_H105 zenon_H10d zenon_H11b zenon_H11d zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H230 zenon_H300 zenon_H2ff zenon_H2fe zenon_H227 zenon_H226 zenon_H225 zenon_H1d8 zenon_H1d9 zenon_H1d7 zenon_H49 zenon_H4b zenon_H216 zenon_H2d8 zenon_H2de zenon_H2dc zenon_H24 zenon_H25 zenon_H26 zenon_H3a zenon_H3e.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.41/1.55 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ].
% 1.41/1.55 apply (zenon_L910_); trivial.
% 1.41/1.55 apply (zenon_L1291_); trivial.
% 1.41/1.55 (* end of lemma zenon_L1301_ *)
% 1.41/1.55 assert (zenon_L1302_ : ((ndr1_0)/\((~(c1_1 (a2533)))/\((~(c2_1 (a2533)))/\(~(c3_1 (a2533)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c1_1 (a2528))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.41/1.55 do 0 intro. intros zenon_H2af zenon_H190 zenon_H1ea zenon_H189 zenon_H1e0 zenon_H1bc zenon_H163 zenon_H223 zenon_H263 zenon_H262 zenon_H261 zenon_H174 zenon_H177 zenon_H92 zenon_Hb3 zenon_H1e5 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H300 zenon_H2ff zenon_H2fe zenon_H1c7 zenon_Hef zenon_H51 zenon_H103 zenon_H105 zenon_H10d zenon_H11b zenon_H11d zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H230 zenon_H227 zenon_H226 zenon_H225 zenon_H49 zenon_H4b zenon_H216 zenon_H2d8 zenon_H2de zenon_H3a zenon_H3e zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_Hdd zenon_H2f4 zenon_H74.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.41/1.55 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.55 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.55 apply (zenon_L1262_); trivial.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.41/1.55 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2f1 ].
% 1.41/1.55 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.41/1.55 apply (zenon_L100_); trivial.
% 1.41/1.55 apply (zenon_L1301_); trivial.
% 1.41/1.55 apply (zenon_L897_); trivial.
% 1.41/1.55 apply (zenon_L1273_); trivial.
% 1.41/1.55 (* end of lemma zenon_L1302_ *)
% 1.41/1.55 assert (zenon_L1303_ : ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(c3_1 (a2525))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (c3_1 (a2529)) -> (c0_1 (a2529)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (ndr1_0) -> (~(hskp29)) -> False).
% 1.41/1.55 do 0 intro. intros zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H300 zenon_H2ff zenon_H2fe zenon_Ha3 zenon_H225 zenon_H226 zenon_H227 zenon_H4b zenon_H1d7 zenon_H1d9 zenon_H1d8 zenon_H49 zenon_H230 zenon_H216 zenon_H10d zenon_H103 zenon_H105 zenon_H42 zenon_H40 zenon_H1bc zenon_H26 zenon_H25 zenon_H24 zenon_H122 zenon_H121 zenon_H120 zenon_H12 zenon_H150.
% 1.41/1.55 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2d9 ].
% 1.41/1.55 apply (zenon_L809_); trivial.
% 1.41/1.55 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H23 ].
% 1.41/1.55 apply (zenon_L1284_); trivial.
% 1.41/1.55 apply (zenon_L949_); trivial.
% 1.41/1.55 (* end of lemma zenon_L1303_ *)
% 1.41/1.55 assert (zenon_L1304_ : ((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a2548)) -> (c0_1 (a2548)) -> (~(c1_1 (a2548))) -> (~(c3_1 (a2525))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> False).
% 1.41/1.55 do 0 intro. intros zenon_H4d zenon_H177 zenon_H2d8 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H105 zenon_H103 zenon_H10d zenon_H216 zenon_H4b zenon_H49 zenon_H26 zenon_H25 zenon_H24 zenon_H1d7 zenon_H1d9 zenon_H1d8 zenon_H225 zenon_H226 zenon_H227 zenon_H2fe zenon_H2ff zenon_H300 zenon_H230 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H1e5.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H12. zenon_intro zenon_H4e.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H40. zenon_intro zenon_H4f.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H41. zenon_intro zenon_H42.
% 1.41/1.55 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.41/1.55 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H1e6 ].
% 1.41/1.55 apply (zenon_L1303_); trivial.
% 1.41/1.55 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1d6 ].
% 1.41/1.55 apply (zenon_L316_); trivial.
% 1.41/1.55 apply (zenon_L176_); trivial.
% 1.41/1.55 apply (zenon_L1249_); trivial.
% 1.41/1.55 (* end of lemma zenon_L1304_ *)
% 1.41/1.55 assert (zenon_L1305_ : ((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp3)) -> (~(c3_1 (a2525))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> (~(hskp22)) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> False).
% 1.41/1.55 do 0 intro. intros zenon_Hea zenon_H51 zenon_H177 zenon_H2d8 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H105 zenon_H103 zenon_H10d zenon_H216 zenon_H4b zenon_H49 zenon_H1d7 zenon_H1d9 zenon_H1d8 zenon_H225 zenon_H226 zenon_H227 zenon_H2fe zenon_H2ff zenon_H300 zenon_H230 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H1e5 zenon_H2de zenon_H2dc zenon_H24 zenon_H25 zenon_H26 zenon_H3a zenon_H3e.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.41/1.55 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ].
% 1.41/1.56 apply (zenon_L910_); trivial.
% 1.41/1.56 apply (zenon_L1304_); trivial.
% 1.41/1.56 (* end of lemma zenon_L1305_ *)
% 1.41/1.56 assert (zenon_L1306_ : ((ndr1_0)/\((c3_1 (a2528))/\((~(c0_1 (a2528)))/\(~(c1_1 (a2528)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp12))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> (~(hskp3)) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c1_1 (a2533)))/\((~(c2_1 (a2533)))/\(~(c3_1 (a2533))))))) -> False).
% 1.41/1.56 do 0 intro. intros zenon_H1d1 zenon_H12e zenon_H2a3 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H298 zenon_H297 zenon_H296 zenon_H74 zenon_H2f4 zenon_Hdd zenon_H148 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H3e zenon_H3a zenon_H2de zenon_H2d8 zenon_H216 zenon_H4b zenon_H49 zenon_H225 zenon_H226 zenon_H227 zenon_H230 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H11d zenon_H51 zenon_Hef zenon_H1c7 zenon_H2fe zenon_H2ff zenon_H300 zenon_H1e5 zenon_Hb3 zenon_H92 zenon_H177 zenon_H174 zenon_H261 zenon_H262 zenon_H263 zenon_H223 zenon_H163 zenon_H1bc zenon_H1e0 zenon_H189 zenon_H1ea zenon_H190 zenon_H2ae.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.41/1.56 apply (zenon_L532_); trivial.
% 1.41/1.56 apply (zenon_L1302_); trivial.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.41/1.56 apply (zenon_L532_); trivial.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.56 apply (zenon_L1210_); trivial.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2f1 ].
% 1.41/1.56 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.41/1.56 apply (zenon_L100_); trivial.
% 1.41/1.56 apply (zenon_L1305_); trivial.
% 1.41/1.56 apply (zenon_L897_); trivial.
% 1.41/1.56 apply (zenon_L1273_); trivial.
% 1.41/1.56 (* end of lemma zenon_L1306_ *)
% 1.41/1.56 assert (zenon_L1307_ : ((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (~(hskp9)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> False).
% 1.41/1.56 do 0 intro. intros zenon_Had zenon_H2b4 zenon_H1f zenon_H280 zenon_H281 zenon_H282 zenon_H289 zenon_H298 zenon_H297 zenon_H296 zenon_H1f3 zenon_H122 zenon_H121 zenon_H1d8 zenon_H1d9.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H2b5 ].
% 1.41/1.56 apply (zenon_L518_); trivial.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H295 | zenon_intro zenon_H2d ].
% 1.41/1.56 apply (zenon_L528_); trivial.
% 1.41/1.56 apply (zenon_L721_); trivial.
% 1.41/1.56 (* end of lemma zenon_L1307_ *)
% 1.41/1.56 assert (zenon_L1308_ : ((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp9)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp22)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> False).
% 1.41/1.56 do 0 intro. intros zenon_Hea zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_H280 zenon_H281 zenon_H282 zenon_H1f zenon_H289 zenon_H2dc zenon_H2de.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H1d | zenon_intro zenon_H39 ].
% 1.41/1.56 apply (zenon_L849_); trivial.
% 1.41/1.56 apply (zenon_L649_); trivial.
% 1.41/1.56 (* end of lemma zenon_L1308_ *)
% 1.41/1.56 assert (zenon_L1309_ : ((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((hskp23)\/(hskp27)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.41/1.56 do 0 intro. intros zenon_H71 zenon_H2f4 zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_Hdd zenon_H289 zenon_H1f zenon_H282 zenon_H281 zenon_H280 zenon_Hcb zenon_H2de zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_Hef.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2f1 ].
% 1.41/1.56 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.41/1.56 apply (zenon_L515_); trivial.
% 1.41/1.56 apply (zenon_L1308_); trivial.
% 1.41/1.56 apply (zenon_L897_); trivial.
% 1.41/1.56 (* end of lemma zenon_L1309_ *)
% 1.41/1.56 assert (zenon_L1310_ : ((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((hskp23)\/(hskp27)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.41/1.56 do 0 intro. intros zenon_H12b zenon_H74 zenon_H2f4 zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_Hdd zenon_Hcb zenon_H2de zenon_H3e zenon_Hef zenon_H289 zenon_H1f zenon_H1c7 zenon_H282 zenon_H281 zenon_H280 zenon_H296 zenon_H297 zenon_H298 zenon_H1f3 zenon_H1d9 zenon_H1d8 zenon_H2b4 zenon_Hb3.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.56 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.41/1.56 apply (zenon_L664_); trivial.
% 1.41/1.56 apply (zenon_L1307_); trivial.
% 1.41/1.56 apply (zenon_L1309_); trivial.
% 1.41/1.56 (* end of lemma zenon_L1310_ *)
% 1.41/1.56 assert (zenon_L1311_ : ((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (~(hskp17)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c2_1 (a2549)) -> (~(c1_1 (a2549))) -> (~(c0_1 (a2549))) -> (~(hskp10)) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> False).
% 1.41/1.56 do 0 intro. intros zenon_H173 zenon_H2b4 zenon_H146 zenon_H280 zenon_H281 zenon_H282 zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_H298 zenon_H297 zenon_H296 zenon_H1f3 zenon_Ha6 zenon_Ha5 zenon_Ha4 zenon_Hd6 zenon_H66 zenon_H67 zenon_H68 zenon_H157 zenon_H1d8 zenon_H1d9.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H2b5 ].
% 1.41/1.56 apply (zenon_L674_); trivial.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H295 | zenon_intro zenon_H2d ].
% 1.41/1.56 apply (zenon_L528_); trivial.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H1f4 ].
% 1.41/1.56 apply (zenon_L47_); trivial.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H55 | zenon_intro zenon_H93 ].
% 1.41/1.56 apply (zenon_L114_); trivial.
% 1.41/1.56 apply (zenon_L298_); trivial.
% 1.41/1.56 (* end of lemma zenon_L1311_ *)
% 1.41/1.56 assert (zenon_L1312_ : ((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (~(c0_1 (a2549))) -> (~(c1_1 (a2549))) -> (c2_1 (a2549)) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> False).
% 1.41/1.56 do 0 intro. intros zenon_H50 zenon_H177 zenon_H2b4 zenon_Ha4 zenon_Ha5 zenon_Ha6 zenon_H1d8 zenon_H1d9 zenon_H1f3 zenon_H298 zenon_H297 zenon_H296 zenon_H132 zenon_H133 zenon_H134 zenon_H280 zenon_H281 zenon_H282 zenon_H146 zenon_H148 zenon_H66 zenon_H67 zenon_H68 zenon_H152 zenon_Hd6 zenon_H157.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.41/1.56 apply (zenon_L105_); trivial.
% 1.41/1.56 apply (zenon_L1311_); trivial.
% 1.41/1.56 (* end of lemma zenon_L1312_ *)
% 1.41/1.56 assert (zenon_L1313_ : ((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> False).
% 1.41/1.56 do 0 intro. intros zenon_Had zenon_H54 zenon_H177 zenon_H1f3 zenon_H152 zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_H132 zenon_H133 zenon_H134 zenon_H280 zenon_H281 zenon_H282 zenon_H146 zenon_H148 zenon_H1a2 zenon_H157 zenon_Hd6 zenon_H68 zenon_H67 zenon_H66 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1ea zenon_H1b7.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1b2 ].
% 1.41/1.56 apply (zenon_L676_); trivial.
% 1.41/1.56 apply (zenon_L546_); trivial.
% 1.41/1.56 apply (zenon_L1312_); trivial.
% 1.41/1.56 (* end of lemma zenon_L1313_ *)
% 1.41/1.56 assert (zenon_L1314_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c0_1 (a2519))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> (ndr1_0) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(hskp19)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> False).
% 1.41/1.56 do 0 intro. intros zenon_Hb3 zenon_H54 zenon_H177 zenon_H1f3 zenon_H152 zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_H280 zenon_H1a2 zenon_H157 zenon_Hd6 zenon_H68 zenon_H67 zenon_H66 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1ea zenon_H1b7 zenon_H12 zenon_H132 zenon_H133 zenon_H134 zenon_H1c7 zenon_H3 zenon_H282 zenon_H281 zenon_H146 zenon_H148.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.41/1.56 apply (zenon_L712_); trivial.
% 1.41/1.56 apply (zenon_L1313_); trivial.
% 1.41/1.56 (* end of lemma zenon_L1314_ *)
% 1.41/1.56 assert (zenon_L1315_ : ((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.41/1.56 do 0 intro. intros zenon_H71 zenon_H2f4 zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_Hdd zenon_H148 zenon_H146 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H2de zenon_H282 zenon_H281 zenon_H280 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_Hef.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2f1 ].
% 1.41/1.56 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.41/1.56 apply (zenon_L100_); trivial.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H1d | zenon_intro zenon_H39 ].
% 1.41/1.56 apply (zenon_L849_); trivial.
% 1.41/1.56 apply (zenon_L675_); trivial.
% 1.41/1.56 apply (zenon_L897_); trivial.
% 1.41/1.56 (* end of lemma zenon_L1315_ *)
% 1.41/1.56 assert (zenon_L1316_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c1_1 (a2533))) -> (ndr1_0) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.41/1.56 do 0 intro. intros zenon_H74 zenon_H2d8 zenon_H5f zenon_H129 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H1c7 zenon_H2a7 zenon_H2a6 zenon_H2a5 zenon_H12 zenon_H148 zenon_H146 zenon_H282 zenon_H281 zenon_H280 zenon_H134 zenon_H133 zenon_H132 zenon_H296 zenon_H297 zenon_H298 zenon_H1f3 zenon_H1d9 zenon_H1d8 zenon_H122 zenon_H121 zenon_H2b4 zenon_Hb3.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.56 apply (zenon_L722_); trivial.
% 1.41/1.56 apply (zenon_L811_); trivial.
% 1.41/1.56 (* end of lemma zenon_L1316_ *)
% 1.41/1.56 assert (zenon_L1317_ : ((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c1_1 (a2533)))/\((~(c2_1 (a2533)))/\(~(c3_1 (a2533))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((hskp6)\/((hskp19)\/(hskp16))) -> (~(hskp6)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp12))) -> False).
% 1.41/1.56 do 0 intro. intros zenon_H12b zenon_H2ae zenon_Hb9 zenon_H190 zenon_H18b zenon_H1bc zenon_H1ea zenon_H1b3 zenon_H177 zenon_Ha2 zenon_Hb3 zenon_H2b4 zenon_H1f3 zenon_H132 zenon_H133 zenon_H134 zenon_H280 zenon_H281 zenon_H282 zenon_H148 zenon_H1c7 zenon_H7 zenon_H1 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H129 zenon_H5f zenon_H2d8 zenon_H74 zenon_H296 zenon_H297 zenon_H298 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H2a3.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.41/1.56 apply (zenon_L532_); trivial.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.56 apply (zenon_L812_); trivial.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.56 apply (zenon_L1316_); trivial.
% 1.41/1.56 apply (zenon_L1196_); trivial.
% 1.41/1.56 (* end of lemma zenon_L1317_ *)
% 1.41/1.56 assert (zenon_L1318_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp9)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.41/1.56 do 0 intro. intros zenon_Hb9 zenon_H2ba zenon_H112 zenon_Hef zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_H21 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H1e9 zenon_H144 zenon_Hcb zenon_H280 zenon_H281 zenon_H282 zenon_H1f zenon_H289 zenon_Hdd zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H129 zenon_H5f zenon_H2d8 zenon_H74.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.56 apply (zenon_L734_); trivial.
% 1.41/1.56 apply (zenon_L811_); trivial.
% 1.41/1.56 apply (zenon_L669_); trivial.
% 1.41/1.56 (* end of lemma zenon_L1318_ *)
% 1.41/1.56 assert (zenon_L1319_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(hskp8)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c0_1 (a2539))) -> (~(c2_1 (a2539))) -> (c3_1 (a2539)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp19)) -> (~(hskp16)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.41/1.56 do 0 intro. intros zenon_H54 zenon_Ha2 zenon_H144 zenon_H7f zenon_H112 zenon_H2ba zenon_H92 zenon_Hdd zenon_H148 zenon_H146 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_H280 zenon_H281 zenon_H282 zenon_H1a2 zenon_H191 zenon_H192 zenon_H193 zenon_H1b3 zenon_H3 zenon_H5 zenon_H1e9 zenon_H11b zenon_H11d zenon_H1b7 zenon_Hef.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.41/1.56 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.41/1.56 apply (zenon_L100_); trivial.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1b2 ].
% 1.41/1.56 apply (zenon_L676_); trivial.
% 1.41/1.56 apply (zenon_L307_); trivial.
% 1.41/1.56 apply (zenon_L672_); trivial.
% 1.41/1.56 (* end of lemma zenon_L1319_ *)
% 1.41/1.56 assert (zenon_L1320_ : ((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.41/1.56 do 0 intro. intros zenon_H19a zenon_Hb9 zenon_H74 zenon_H2f4 zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H2de zenon_Hef zenon_H1b7 zenon_H11d zenon_H11b zenon_H1e9 zenon_H1b3 zenon_H1a2 zenon_H282 zenon_H281 zenon_H280 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_Hdd zenon_H92 zenon_H2ba zenon_H112 zenon_H7f zenon_H144 zenon_Ha2 zenon_H54 zenon_H190.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.56 apply (zenon_L1319_); trivial.
% 1.41/1.56 apply (zenon_L1315_); trivial.
% 1.41/1.56 apply (zenon_L126_); trivial.
% 1.41/1.56 apply (zenon_L681_); trivial.
% 1.41/1.56 (* end of lemma zenon_L1320_ *)
% 1.41/1.56 assert (zenon_L1321_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> False).
% 1.41/1.56 do 0 intro. intros zenon_H1b9 zenon_H2f4 zenon_H2de zenon_H1b7 zenon_H1b3 zenon_H1a2 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_H92 zenon_H7f zenon_Ha2 zenon_H54 zenon_H190 zenon_Hba zenon_H63 zenon_H11d zenon_H11b zenon_H1bc zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H177 zenon_Hef zenon_H144 zenon_H1e9 zenon_Hcb zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_Hdd zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H129 zenon_H5f zenon_H2d8 zenon_H74 zenon_H2ba zenon_H112 zenon_H282 zenon_H281 zenon_H280 zenon_Hb9.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.41/1.56 apply (zenon_L1041_); trivial.
% 1.41/1.56 apply (zenon_L1320_); trivial.
% 1.41/1.56 (* end of lemma zenon_L1321_ *)
% 1.41/1.56 assert (zenon_L1322_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> (~(hskp16)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c0_1 (a2519))) -> ((hskp23)\/(hskp27)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> (ndr1_0) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(hskp19)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> False).
% 1.41/1.56 do 0 intro. intros zenon_Hb3 zenon_Hef zenon_H2b4 zenon_H121 zenon_H122 zenon_H1e9 zenon_H5 zenon_H1f3 zenon_H298 zenon_H297 zenon_H296 zenon_H280 zenon_Hcb zenon_Hdd zenon_H12 zenon_H132 zenon_H133 zenon_H134 zenon_H1c7 zenon_H3 zenon_H282 zenon_H281 zenon_H146 zenon_H148.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.41/1.56 apply (zenon_L712_); trivial.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.41/1.56 apply (zenon_L100_); trivial.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H2b5 ].
% 1.41/1.56 apply (zenon_L674_); trivial.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H295 | zenon_intro zenon_H2d ].
% 1.41/1.56 apply (zenon_L528_); trivial.
% 1.41/1.56 apply (zenon_L694_); trivial.
% 1.41/1.56 (* end of lemma zenon_L1322_ *)
% 1.41/1.56 assert (zenon_L1323_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (ndr1_0) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2519))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (~(hskp16)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.41/1.56 do 0 intro. intros zenon_H74 zenon_H2d8 zenon_H5f zenon_H129 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H148 zenon_H146 zenon_H281 zenon_H282 zenon_H1c7 zenon_H134 zenon_H133 zenon_H132 zenon_H12 zenon_Hdd zenon_Hcb zenon_H280 zenon_H296 zenon_H297 zenon_H298 zenon_H1f3 zenon_H5 zenon_H1e9 zenon_H122 zenon_H121 zenon_H2b4 zenon_Hef zenon_Hb3.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.56 apply (zenon_L1322_); trivial.
% 1.41/1.56 apply (zenon_L811_); trivial.
% 1.41/1.56 (* end of lemma zenon_L1323_ *)
% 1.41/1.56 assert (zenon_L1324_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> (~(hskp8)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (ndr1_0) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2519))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(c3_1 (a2531))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(hskp15)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.41/1.56 do 0 intro. intros zenon_Hb9 zenon_H112 zenon_H2ba zenon_H74 zenon_H2d8 zenon_H5f zenon_H129 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H148 zenon_H281 zenon_H282 zenon_H1c7 zenon_H134 zenon_H133 zenon_H132 zenon_H12 zenon_Hdd zenon_Hcb zenon_H280 zenon_H296 zenon_H297 zenon_H298 zenon_H1f3 zenon_H1e9 zenon_H122 zenon_H121 zenon_H2b4 zenon_Hef zenon_Hb3 zenon_H177 zenon_H20d zenon_H1fc zenon_H1fb zenon_H1fa zenon_H120 zenon_H1bc zenon_H61 zenon_H63 zenon_Hba zenon_H190.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.56 apply (zenon_L1323_); trivial.
% 1.41/1.56 apply (zenon_L395_); trivial.
% 1.41/1.56 apply (zenon_L1042_); trivial.
% 1.41/1.56 (* end of lemma zenon_L1324_ *)
% 1.41/1.56 assert (zenon_L1325_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c2_1 (a2549)) -> (~(c1_1 (a2549))) -> (~(c0_1 (a2549))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (~(hskp10)) -> (c0_1 (a2601)) -> (c3_1 (a2601)) -> (~(c2_1 (a2601))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (ndr1_0) -> (~(c1_1 (a2553))) -> (~(c3_1 (a2553))) -> (c0_1 (a2553)) -> False).
% 1.41/1.56 do 0 intro. intros zenon_H1f3 zenon_Ha6 zenon_Ha5 zenon_Ha4 zenon_H189 zenon_H122 zenon_H121 zenon_H2d zenon_Hd6 zenon_H1a4 zenon_H1a5 zenon_H1a6 zenon_H157 zenon_H12 zenon_Hdf zenon_He0 zenon_He1.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H1f4 ].
% 1.41/1.56 apply (zenon_L47_); trivial.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H55 | zenon_intro zenon_H93 ].
% 1.41/1.56 apply (zenon_L158_); trivial.
% 1.41/1.56 apply (zenon_L558_); trivial.
% 1.41/1.56 (* end of lemma zenon_L1325_ *)
% 1.41/1.56 assert (zenon_L1326_ : ((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((hskp23)\/(hskp27)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.41/1.56 do 0 intro. intros zenon_Had zenon_H54 zenon_H21 zenon_Hdd zenon_H289 zenon_H1f zenon_H282 zenon_H281 zenon_H280 zenon_Hcb zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_H1a2 zenon_H1f3 zenon_H157 zenon_Hd6 zenon_H189 zenon_H122 zenon_H121 zenon_H1b7 zenon_Hef.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.41/1.56 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.41/1.56 apply (zenon_L515_); trivial.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1b2 ].
% 1.41/1.56 apply (zenon_L652_); trivial.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H12. zenon_intro zenon_H1b4.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H1a4. zenon_intro zenon_H1b5.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H1a5. zenon_intro zenon_H1a6.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H2b5 ].
% 1.41/1.56 apply (zenon_L518_); trivial.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H295 | zenon_intro zenon_H2d ].
% 1.41/1.56 apply (zenon_L528_); trivial.
% 1.41/1.56 apply (zenon_L1325_); trivial.
% 1.41/1.56 apply (zenon_L650_); trivial.
% 1.41/1.56 (* end of lemma zenon_L1326_ *)
% 1.41/1.56 assert (zenon_L1327_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((hskp23)\/(hskp27)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (ndr1_0) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a2528))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.41/1.56 do 0 intro. intros zenon_H74 zenon_H2f4 zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_Hdd zenon_Hcb zenon_H2de zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_Hef zenon_H289 zenon_H1f zenon_H1c7 zenon_H282 zenon_H281 zenon_H280 zenon_H12 zenon_H11d zenon_H11b zenon_H10d zenon_H105 zenon_H103 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e5 zenon_Hb3.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.56 apply (zenon_L692_); trivial.
% 1.41/1.56 apply (zenon_L1309_); trivial.
% 1.41/1.56 (* end of lemma zenon_L1327_ *)
% 1.41/1.56 assert (zenon_L1328_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (~(hskp18)) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (ndr1_0) -> (~(c1_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c3_1 (a2533))) -> (~(hskp19)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> False).
% 1.41/1.56 do 0 intro. intros zenon_Hb3 zenon_H177 zenon_H20d zenon_Hb zenon_H1fc zenon_H1fb zenon_H1fa zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H105 zenon_H103 zenon_H10d zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e5 zenon_H12 zenon_H2a5 zenon_H2a6 zenon_H2a7 zenon_H3 zenon_H1c7.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.41/1.56 apply (zenon_L534_); trivial.
% 1.41/1.56 apply (zenon_L747_); trivial.
% 1.41/1.56 (* end of lemma zenon_L1328_ *)
% 1.41/1.56 assert (zenon_L1329_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> (~(hskp15)) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (ndr1_0) -> (~(c1_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c3_1 (a2533))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.41/1.56 do 0 intro. intros zenon_Hba zenon_H63 zenon_H61 zenon_Hb3 zenon_H177 zenon_H20d zenon_H1fc zenon_H1fb zenon_H1fa zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H105 zenon_H103 zenon_H10d zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e5 zenon_H12 zenon_H2a5 zenon_H2a6 zenon_H2a7 zenon_H1c7 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H129 zenon_H5f zenon_H2d8 zenon_H74.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.56 apply (zenon_L1328_); trivial.
% 1.41/1.56 apply (zenon_L811_); trivial.
% 1.41/1.56 apply (zenon_L97_); trivial.
% 1.41/1.56 (* end of lemma zenon_L1329_ *)
% 1.41/1.56 assert (zenon_L1330_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c2_1 (a2549)) -> (~(c1_1 (a2549))) -> (~(c0_1 (a2549))) -> (c3_1 (a2556)) -> (c2_1 (a2556)) -> (c1_1 (a2556)) -> (~(c0_1 (a2539))) -> (~(c2_1 (a2539))) -> (c3_1 (a2539)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (ndr1_0) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> False).
% 1.41/1.56 do 0 intro. intros zenon_H1f3 zenon_Ha6 zenon_Ha5 zenon_Ha4 zenon_H15c zenon_H15b zenon_H15a zenon_H191 zenon_H192 zenon_H193 zenon_H1b3 zenon_H2d zenon_H12 zenon_H1d8 zenon_H1d9.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H1f4 ].
% 1.41/1.56 apply (zenon_L47_); trivial.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H55 | zenon_intro zenon_H93 ].
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H102 | zenon_intro zenon_H1b6 ].
% 1.41/1.56 apply (zenon_L125_); trivial.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H93 | zenon_intro zenon_H14a ].
% 1.41/1.56 apply (zenon_L298_); trivial.
% 1.41/1.56 apply (zenon_L113_); trivial.
% 1.41/1.56 apply (zenon_L298_); trivial.
% 1.41/1.56 (* end of lemma zenon_L1330_ *)
% 1.41/1.56 assert (zenon_L1331_ : ((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (~(hskp9)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c2_1 (a2549)) -> (~(c1_1 (a2549))) -> (~(c0_1 (a2549))) -> (~(c0_1 (a2539))) -> (~(c2_1 (a2539))) -> (c3_1 (a2539)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> False).
% 1.41/1.56 do 0 intro. intros zenon_H173 zenon_H2b4 zenon_H1f zenon_H280 zenon_H281 zenon_H282 zenon_H289 zenon_H298 zenon_H297 zenon_H296 zenon_H1f3 zenon_Ha6 zenon_Ha5 zenon_Ha4 zenon_H191 zenon_H192 zenon_H193 zenon_H1b3 zenon_H1d8 zenon_H1d9.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H2b5 ].
% 1.41/1.56 apply (zenon_L518_); trivial.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H295 | zenon_intro zenon_H2d ].
% 1.41/1.56 apply (zenon_L528_); trivial.
% 1.41/1.56 apply (zenon_L1330_); trivial.
% 1.41/1.56 (* end of lemma zenon_L1331_ *)
% 1.41/1.56 assert (zenon_L1332_ : ((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a2539)) -> (~(c2_1 (a2539))) -> (~(c0_1 (a2539))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp9)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2531)) -> (c1_1 (a2531)) -> (~(c3_1 (a2531))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> False).
% 1.41/1.56 do 0 intro. intros zenon_Had zenon_H177 zenon_H2b4 zenon_H1b3 zenon_H193 zenon_H192 zenon_H191 zenon_H1f3 zenon_H298 zenon_H297 zenon_H296 zenon_H280 zenon_H281 zenon_H282 zenon_H1f zenon_H289 zenon_H1bc zenon_H122 zenon_H121 zenon_H120 zenon_H105 zenon_H103 zenon_H10d zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e5.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.41/1.56 apply (zenon_L317_); trivial.
% 1.41/1.56 apply (zenon_L1331_); trivial.
% 1.41/1.56 (* end of lemma zenon_L1332_ *)
% 1.41/1.56 assert (zenon_L1333_ : ((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((hskp23)\/(hskp27)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c1_1 (a2533))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c3_1 (a2531))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.41/1.56 do 0 intro. intros zenon_H19a zenon_H74 zenon_H2f4 zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_Hdd zenon_Hcb zenon_H2de zenon_H3e zenon_Hef zenon_H1c7 zenon_H2a7 zenon_H2a6 zenon_H2a5 zenon_H1e5 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H10d zenon_H103 zenon_H105 zenon_H120 zenon_H121 zenon_H122 zenon_H1bc zenon_H289 zenon_H1f zenon_H282 zenon_H281 zenon_H280 zenon_H296 zenon_H297 zenon_H298 zenon_H1f3 zenon_H1b3 zenon_H2b4 zenon_H177 zenon_Hb3.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.56 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.41/1.56 apply (zenon_L534_); trivial.
% 1.41/1.56 apply (zenon_L1332_); trivial.
% 1.41/1.56 apply (zenon_L1309_); trivial.
% 1.41/1.56 (* end of lemma zenon_L1333_ *)
% 1.41/1.56 assert (zenon_L1334_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2540))) -> (c0_1 (a2540)) -> (~(c2_1 (a2524))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(hskp21)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> False).
% 1.41/1.56 do 0 intro. intros zenon_H1b7 zenon_H11d zenon_H11b zenon_H66 zenon_H67 zenon_H68 zenon_H1fa zenon_H1fc zenon_H1fb zenon_Hd6 zenon_H157 zenon_H1a2 zenon_H9 zenon_H148 zenon_H146 zenon_H282 zenon_H281 zenon_H280 zenon_H134 zenon_H133 zenon_H132 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1b2 ].
% 1.41/1.56 apply (zenon_L676_); trivial.
% 1.41/1.56 apply (zenon_L730_); trivial.
% 1.41/1.56 (* end of lemma zenon_L1334_ *)
% 1.41/1.56 assert (zenon_L1335_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (~(hskp17)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a2539)) -> (~(c2_1 (a2539))) -> (~(c0_1 (a2539))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (c1_1 (a2551)) -> (c0_1 (a2551)) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp10)) -> False).
% 1.41/1.56 do 0 intro. intros zenon_H2b4 zenon_H146 zenon_H280 zenon_H281 zenon_H282 zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_H298 zenon_H297 zenon_H296 zenon_H1b3 zenon_H193 zenon_H192 zenon_H191 zenon_H1d9 zenon_H1d8 zenon_H152 zenon_H16 zenon_H15 zenon_H12 zenon_H150 zenon_Hd6.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H2b5 ].
% 1.41/1.56 apply (zenon_L674_); trivial.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H295 | zenon_intro zenon_H2d ].
% 1.41/1.56 apply (zenon_L528_); trivial.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H102 | zenon_intro zenon_H1b6 ].
% 1.41/1.56 apply (zenon_L125_); trivial.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H93 | zenon_intro zenon_H14a ].
% 1.41/1.56 apply (zenon_L298_); trivial.
% 1.41/1.56 apply (zenon_L104_); trivial.
% 1.41/1.56 (* end of lemma zenon_L1335_ *)
% 1.41/1.56 assert (zenon_L1336_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (~(hskp18)) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c0_1 (a2539))) -> (~(c2_1 (a2539))) -> (c3_1 (a2539)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> False).
% 1.41/1.56 do 0 intro. intros zenon_H54 zenon_H177 zenon_H20d zenon_Hb zenon_H1fc zenon_H1fb zenon_H1fa zenon_H152 zenon_H1d9 zenon_H1d8 zenon_Hdd zenon_H148 zenon_H146 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_H280 zenon_H281 zenon_H282 zenon_H1a2 zenon_H191 zenon_H192 zenon_H193 zenon_H1b3 zenon_Hd6 zenon_H157 zenon_H11b zenon_H11d zenon_H1b7 zenon_Hef.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.41/1.56 apply (zenon_L677_); trivial.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.41/1.56 apply (zenon_L1335_); trivial.
% 1.41/1.56 apply (zenon_L223_); trivial.
% 1.41/1.56 (* end of lemma zenon_L1336_ *)
% 1.41/1.56 assert (zenon_L1337_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (~(c0_1 (a2545))) -> (c1_1 (a2545)) -> (c2_1 (a2545)) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (ndr1_0) -> (~(c1_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c3_1 (a2533))) -> (~(hskp19)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> False).
% 1.41/1.56 do 0 intro. intros zenon_Hb3 zenon_H2b4 zenon_H56 zenon_H57 zenon_H58 zenon_H1d8 zenon_H1d9 zenon_H1f3 zenon_H298 zenon_H297 zenon_H296 zenon_H132 zenon_H133 zenon_H134 zenon_H280 zenon_H281 zenon_H282 zenon_H146 zenon_H148 zenon_H12 zenon_H2a5 zenon_H2a6 zenon_H2a7 zenon_H3 zenon_H1c7.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.41/1.56 apply (zenon_L534_); trivial.
% 1.41/1.56 apply (zenon_L806_); trivial.
% 1.41/1.56 (* end of lemma zenon_L1337_ *)
% 1.41/1.56 assert (zenon_L1338_ : ((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((hskp23)\/(hskp27)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c1_1 (a2533))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.41/1.56 do 0 intro. intros zenon_Hb2 zenon_H74 zenon_H2f4 zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_Hdd zenon_Hcb zenon_H2de zenon_H3e zenon_Hef zenon_H1c7 zenon_H2a7 zenon_H2a6 zenon_H2a5 zenon_H148 zenon_H146 zenon_H282 zenon_H281 zenon_H280 zenon_H134 zenon_H133 zenon_H132 zenon_H296 zenon_H297 zenon_H298 zenon_H1f3 zenon_H1d9 zenon_H1d8 zenon_H2b4 zenon_Hb3.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.56 apply (zenon_L1337_); trivial.
% 1.41/1.56 apply (zenon_L1315_); trivial.
% 1.41/1.56 (* end of lemma zenon_L1338_ *)
% 1.41/1.56 assert (zenon_L1339_ : ((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c1_1 (a2533)))/\((~(c2_1 (a2533)))/\(~(c3_1 (a2533))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((hskp6)\/((hskp19)\/(hskp16))) -> (~(hskp6)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp12))) -> False).
% 1.41/1.56 do 0 intro. intros zenon_H12b zenon_H2ae zenon_H1b9 zenon_Hb9 zenon_Hef zenon_H189 zenon_H18b zenon_H163 zenon_H1b3 zenon_H174 zenon_Ha2 zenon_H7 zenon_H1 zenon_H74 zenon_H2d8 zenon_H5f zenon_H129 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H1c7 zenon_H148 zenon_H282 zenon_H281 zenon_H280 zenon_H134 zenon_H133 zenon_H132 zenon_H1f3 zenon_H2b4 zenon_Hb3 zenon_H177 zenon_H20d zenon_H1fc zenon_H1fb zenon_H1fa zenon_H1bc zenon_H63 zenon_Hba zenon_H190 zenon_H296 zenon_H297 zenon_H298 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H2a3.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.41/1.56 apply (zenon_L532_); trivial.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.56 apply (zenon_L1316_); trivial.
% 1.41/1.56 apply (zenon_L395_); trivial.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.56 apply (zenon_L812_); trivial.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.56 apply (zenon_L1316_); trivial.
% 1.41/1.56 apply (zenon_L411_); trivial.
% 1.41/1.56 (* end of lemma zenon_L1339_ *)
% 1.41/1.56 assert (zenon_L1340_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((hskp23)\/(hskp27)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> (~(c0_1 (a2519))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (ndr1_0) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a2528))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.41/1.56 do 0 intro. intros zenon_H74 zenon_H2f4 zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_Hdd zenon_Hcb zenon_H2de zenon_H280 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_Hef zenon_H148 zenon_H146 zenon_H281 zenon_H282 zenon_H1c7 zenon_H134 zenon_H133 zenon_H132 zenon_H12 zenon_H11d zenon_H11b zenon_H10d zenon_H105 zenon_H103 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e5 zenon_Hb3.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.56 apply (zenon_L713_); trivial.
% 1.41/1.56 apply (zenon_L1315_); trivial.
% 1.41/1.56 (* end of lemma zenon_L1340_ *)
% 1.41/1.56 assert (zenon_L1341_ : ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (c3_1 (a2539)) -> (~(c2_1 (a2539))) -> (~(c0_1 (a2539))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10)))))) -> (~(c1_1 (a2528))) -> (ndr1_0) -> (~(hskp11)) -> False).
% 1.41/1.56 do 0 intro. intros zenon_H11d zenon_H193 zenon_H192 zenon_H191 zenon_H105 zenon_H103 zenon_H1e2 zenon_H10d zenon_H12 zenon_H11b.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H102 | zenon_intro zenon_H11e ].
% 1.41/1.56 apply (zenon_L125_); trivial.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H118 | zenon_intro zenon_H11c ].
% 1.41/1.56 apply (zenon_L184_); trivial.
% 1.41/1.56 exact (zenon_H11b zenon_H11c).
% 1.41/1.56 (* end of lemma zenon_L1341_ *)
% 1.41/1.56 assert (zenon_L1342_ : ((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (~(hskp11)) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(c0_1 (a2539))) -> (~(c2_1 (a2539))) -> (c3_1 (a2539)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> False).
% 1.41/1.56 do 0 intro. intros zenon_Had zenon_H1e5 zenon_H11b zenon_H10d zenon_H103 zenon_H105 zenon_H191 zenon_H192 zenon_H193 zenon_H11d zenon_H1d7 zenon_H1d8 zenon_H1d9.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H1e6 ].
% 1.41/1.56 apply (zenon_L47_); trivial.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1d6 ].
% 1.41/1.56 apply (zenon_L1341_); trivial.
% 1.41/1.56 apply (zenon_L176_); trivial.
% 1.41/1.56 (* end of lemma zenon_L1342_ *)
% 1.41/1.56 assert (zenon_L1343_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (~(c0_1 (a2539))) -> (~(c2_1 (a2539))) -> (c3_1 (a2539)) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (ndr1_0) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(hskp19)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> False).
% 1.41/1.56 do 0 intro. intros zenon_Hb3 zenon_H1e5 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H191 zenon_H192 zenon_H193 zenon_H10d zenon_H103 zenon_H105 zenon_H11b zenon_H11d zenon_H12 zenon_H132 zenon_H133 zenon_H134 zenon_H1c7 zenon_H3 zenon_H282 zenon_H281 zenon_H146 zenon_H148.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.41/1.56 apply (zenon_L712_); trivial.
% 1.41/1.56 apply (zenon_L1342_); trivial.
% 1.41/1.56 (* end of lemma zenon_L1343_ *)
% 1.41/1.56 assert (zenon_L1344_ : ((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (~(c1_1 (a2528))) -> (~(c0_1 (a2528))) -> (c3_1 (a2528)) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c0_1 (a2519))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((hskp23)\/(hskp27)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.41/1.56 do 0 intro. intros zenon_H19a zenon_H190 zenon_Hb3 zenon_H1e5 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H10d zenon_H103 zenon_H105 zenon_H11b zenon_H11d zenon_H132 zenon_H133 zenon_H134 zenon_H1c7 zenon_H282 zenon_H281 zenon_H148 zenon_Hef zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_H280 zenon_H2de zenon_Hcb zenon_Hdd zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2d8 zenon_H2f4 zenon_H74.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.56 apply (zenon_L1343_); trivial.
% 1.41/1.56 apply (zenon_L1315_); trivial.
% 1.41/1.56 apply (zenon_L126_); trivial.
% 1.41/1.56 (* end of lemma zenon_L1344_ *)
% 1.41/1.56 assert (zenon_L1345_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((hskp23)\/(hskp27)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> (~(c0_1 (a2519))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (ndr1_0) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a2528))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> False).
% 1.41/1.56 do 0 intro. intros zenon_H1b9 zenon_H74 zenon_H2f4 zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_Hdd zenon_Hcb zenon_H2de zenon_H280 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_Hef zenon_H148 zenon_H281 zenon_H282 zenon_H1c7 zenon_H134 zenon_H133 zenon_H132 zenon_H12 zenon_H11d zenon_H11b zenon_H10d zenon_H105 zenon_H103 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e5 zenon_Hb3 zenon_H177 zenon_H20d zenon_H1fc zenon_H1fb zenon_H1fa zenon_H1bc zenon_H5f zenon_H63 zenon_Hba zenon_H190.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.56 apply (zenon_L1340_); trivial.
% 1.41/1.56 apply (zenon_L823_); trivial.
% 1.41/1.56 apply (zenon_L1344_); trivial.
% 1.41/1.56 (* end of lemma zenon_L1345_ *)
% 1.41/1.56 assert (zenon_L1346_ : ((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((hskp23)\/(hskp27)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> (~(hskp16)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.41/1.56 do 0 intro. intros zenon_Hb2 zenon_H74 zenon_H2f4 zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H2de zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_H289 zenon_H1f zenon_H1c7 zenon_H282 zenon_H281 zenon_H280 zenon_Hdd zenon_Hcb zenon_H1e9 zenon_H5 zenon_H1f3 zenon_Hef zenon_Hb3.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.56 apply (zenon_L666_); trivial.
% 1.41/1.56 apply (zenon_L1309_); trivial.
% 1.41/1.56 (* end of lemma zenon_L1346_ *)
% 1.41/1.56 assert (zenon_L1347_ : ((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> (~(hskp10)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> False).
% 1.41/1.56 do 0 intro. intros zenon_H1b2 zenon_H177 zenon_H157 zenon_H230 zenon_H68 zenon_H67 zenon_H66 zenon_H225 zenon_H226 zenon_H227 zenon_Hd6 zenon_H152.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H12. zenon_intro zenon_H1b4.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H1a4. zenon_intro zenon_H1b5.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H1a5. zenon_intro zenon_H1a6.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.41/1.56 apply (zenon_L257_); trivial.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H12. zenon_intro zenon_H175.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H15a. zenon_intro zenon_H176.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H15b. zenon_intro zenon_H15c.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H65 | zenon_intro zenon_H158 ].
% 1.41/1.56 apply (zenon_L29_); trivial.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H14a | zenon_intro zenon_Hd7 ].
% 1.41/1.56 apply (zenon_L346_); trivial.
% 1.41/1.56 exact (zenon_Hd6 zenon_Hd7).
% 1.41/1.56 (* end of lemma zenon_L1347_ *)
% 1.41/1.56 assert (zenon_L1348_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp9)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> False).
% 1.41/1.56 do 0 intro. intros zenon_Hb6 zenon_H54 zenon_H21 zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_H280 zenon_H281 zenon_H282 zenon_H1f zenon_H289 zenon_H1a2 zenon_H152 zenon_Hd6 zenon_H227 zenon_H226 zenon_H225 zenon_H230 zenon_H157 zenon_H177 zenon_H1b7.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.41/1.56 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1b2 ].
% 1.41/1.56 apply (zenon_L652_); trivial.
% 1.41/1.56 apply (zenon_L1347_); trivial.
% 1.41/1.56 apply (zenon_L650_); trivial.
% 1.41/1.56 (* end of lemma zenon_L1348_ *)
% 1.41/1.56 assert (zenon_L1349_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp9)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((hskp23)\/(hskp27)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> False).
% 1.41/1.56 do 0 intro. intros zenon_Hb9 zenon_H157 zenon_H54 zenon_H21 zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_H280 zenon_H281 zenon_H282 zenon_H1f zenon_H289 zenon_H1a2 zenon_H152 zenon_Hd6 zenon_H227 zenon_H226 zenon_H225 zenon_H20d zenon_H230 zenon_H177 zenon_H1b7 zenon_Hb3 zenon_Hef zenon_H1f3 zenon_H1e9 zenon_Hcb zenon_Hdd zenon_H1c7 zenon_H2de zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2d8 zenon_H2f4 zenon_H74 zenon_Hba.
% 1.41/1.56 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.56 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.41/1.56 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1b2 ].
% 1.41/1.56 apply (zenon_L652_); trivial.
% 1.41/1.56 apply (zenon_L264_); trivial.
% 1.41/1.56 apply (zenon_L650_); trivial.
% 1.41/1.56 apply (zenon_L1346_); trivial.
% 1.41/1.56 apply (zenon_L1348_); trivial.
% 1.41/1.56 (* end of lemma zenon_L1349_ *)
% 1.41/1.56 assert (zenon_L1350_ : ((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> ((hskp23)\/(hskp27)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.41/1.57 do 0 intro. intros zenon_H12b zenon_H74 zenon_H2f4 zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H2de zenon_H289 zenon_H1f zenon_H1c7 zenon_H282 zenon_H281 zenon_H280 zenon_Hef zenon_H2b4 zenon_H241 zenon_H227 zenon_H226 zenon_H225 zenon_H1f3 zenon_H298 zenon_H297 zenon_H296 zenon_Hcb zenon_Hdd zenon_H21 zenon_H3e zenon_H54 zenon_Hb3.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.41/1.57 apply (zenon_L664_); trivial.
% 1.41/1.57 apply (zenon_L756_); trivial.
% 1.41/1.57 apply (zenon_L1309_); trivial.
% 1.41/1.57 (* end of lemma zenon_L1350_ *)
% 1.41/1.57 assert (zenon_L1351_ : ((ndr1_0)/\((c3_1 (a2528))/\((~(c0_1 (a2528)))/\(~(c1_1 (a2528)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp8)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((hskp23)\/(hskp27)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp9)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> False).
% 1.41/1.57 do 0 intro. intros zenon_H1d1 zenon_H12e zenon_H74 zenon_H2f4 zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H2de zenon_H1c7 zenon_H1f3 zenon_Hb3 zenon_Hef zenon_H1b7 zenon_H11d zenon_H241 zenon_H227 zenon_H226 zenon_H225 zenon_H1b3 zenon_H112 zenon_H114 zenon_H116 zenon_H1a2 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_Hcb zenon_H280 zenon_H281 zenon_H282 zenon_H1f zenon_H289 zenon_Hdd zenon_H21 zenon_H54.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.57 apply (zenon_L759_); trivial.
% 1.41/1.57 apply (zenon_L1350_); trivial.
% 1.41/1.57 (* end of lemma zenon_L1351_ *)
% 1.41/1.57 assert (zenon_L1352_ : ((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (~(c0_1 (a2549))) -> (~(c1_1 (a2549))) -> (c2_1 (a2549)) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp8)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> False).
% 1.41/1.57 do 0 intro. intros zenon_H50 zenon_Ha2 zenon_H2b4 zenon_Ha4 zenon_Ha5 zenon_Ha6 zenon_H121 zenon_H122 zenon_H1f3 zenon_H298 zenon_H297 zenon_H296 zenon_H132 zenon_H133 zenon_H134 zenon_H146 zenon_H148 zenon_H7f zenon_H280 zenon_H281 zenon_H282 zenon_H112 zenon_H2ba zenon_H92.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H12. zenon_intro zenon_H52.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H15. zenon_intro zenon_H53.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H16. zenon_intro zenon_H14.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.41/1.57 apply (zenon_L671_); trivial.
% 1.41/1.57 apply (zenon_L791_); trivial.
% 1.41/1.57 (* end of lemma zenon_L1352_ *)
% 1.41/1.57 assert (zenon_L1353_ : ((ndr1_0)/\((c1_1 (a2526))/\((c3_1 (a2526))/\(~(c0_1 (a2526)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((hskp23)\/(hskp27)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> False).
% 1.41/1.57 do 0 intro. intros zenon_H1f6 zenon_H12e zenon_Hb3 zenon_H296 zenon_H297 zenon_H298 zenon_H1f3 zenon_H2b4 zenon_H1c7 zenon_H3e zenon_H2de zenon_H2f4 zenon_H74 zenon_H190 zenon_H177 zenon_H230 zenon_H2d8 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H11d zenon_Hef zenon_H144 zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_Hcb zenon_H148 zenon_Hdd zenon_H92 zenon_H2ba zenon_H112 zenon_H282 zenon_H281 zenon_H280 zenon_H7f zenon_Ha2 zenon_H54 zenon_Hb9.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.57 apply (zenon_L1060_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.41/1.57 apply (zenon_L712_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.41/1.57 apply (zenon_L100_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H12. zenon_intro zenon_Hec.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He1. zenon_intro zenon_Hed.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hdf. zenon_intro zenon_He0.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H2b5 ].
% 1.41/1.57 apply (zenon_L674_); trivial.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H295 | zenon_intro zenon_H2d ].
% 1.41/1.57 apply (zenon_L528_); trivial.
% 1.41/1.57 apply (zenon_L755_); trivial.
% 1.41/1.57 apply (zenon_L1352_); trivial.
% 1.41/1.57 apply (zenon_L1315_); trivial.
% 1.41/1.57 apply (zenon_L343_); trivial.
% 1.41/1.57 (* end of lemma zenon_L1353_ *)
% 1.41/1.57 assert (zenon_L1354_ : ((ndr1_0)/\((c3_1 (a2528))/\((~(c0_1 (a2528)))/\(~(c1_1 (a2528)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(hskp9)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((hskp23)\/(hskp27)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.41/1.57 do 0 intro. intros zenon_H1d1 zenon_H12e zenon_H241 zenon_H227 zenon_H226 zenon_H225 zenon_H1f3 zenon_H21 zenon_H54 zenon_Hb3 zenon_H1e5 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H11d zenon_H280 zenon_H281 zenon_H282 zenon_H1c7 zenon_H1f zenon_H289 zenon_Hef zenon_H3e zenon_H2b4 zenon_H298 zenon_H297 zenon_H296 zenon_H2de zenon_Hcb zenon_Hdd zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2d8 zenon_H2f4 zenon_H74.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.57 apply (zenon_L1327_); trivial.
% 1.41/1.57 apply (zenon_L1350_); trivial.
% 1.41/1.57 (* end of lemma zenon_L1354_ *)
% 1.41/1.57 assert (zenon_L1355_ : ((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c1_1 (a2533)))/\((~(c2_1 (a2533)))/\(~(c3_1 (a2533))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp12))) -> False).
% 1.41/1.57 do 0 intro. intros zenon_H12b zenon_H2ae zenon_H190 zenon_H177 zenon_H230 zenon_H227 zenon_H226 zenon_H225 zenon_H1bc zenon_Hb3 zenon_H2b4 zenon_H1f3 zenon_H132 zenon_H133 zenon_H134 zenon_H280 zenon_H281 zenon_H282 zenon_H148 zenon_H1c7 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H129 zenon_H5f zenon_H2d8 zenon_H74 zenon_H296 zenon_H297 zenon_H298 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H2a3.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.41/1.57 apply (zenon_L532_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.57 apply (zenon_L1316_); trivial.
% 1.41/1.57 apply (zenon_L343_); trivial.
% 1.41/1.57 (* end of lemma zenon_L1355_ *)
% 1.41/1.57 assert (zenon_L1356_ : ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2525))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (ndr1_0) -> (~(c1_1 (a2548))) -> (c0_1 (a2548)) -> (c3_1 (a2548)) -> False).
% 1.41/1.57 do 0 intro. intros zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H1d7 zenon_H1d9 zenon_H1d8 zenon_H2d zenon_H12 zenon_H24 zenon_H25 zenon_H26.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2d9 ].
% 1.41/1.57 apply (zenon_L809_); trivial.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H23 ].
% 1.41/1.57 apply (zenon_L1246_); trivial.
% 1.41/1.57 apply (zenon_L14_); trivial.
% 1.41/1.57 (* end of lemma zenon_L1356_ *)
% 1.41/1.57 assert (zenon_L1357_ : ((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (~(hskp17)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2525))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> False).
% 1.41/1.57 do 0 intro. intros zenon_H71 zenon_H2b4 zenon_H146 zenon_H280 zenon_H281 zenon_H282 zenon_H132 zenon_H133 zenon_H134 zenon_H148 zenon_H298 zenon_H297 zenon_H296 zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H1d7 zenon_H1d9 zenon_H1d8.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H2b5 ].
% 1.41/1.57 apply (zenon_L674_); trivial.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H295 | zenon_intro zenon_H2d ].
% 1.41/1.57 apply (zenon_L528_); trivial.
% 1.41/1.57 apply (zenon_L1356_); trivial.
% 1.41/1.57 (* end of lemma zenon_L1357_ *)
% 1.41/1.57 assert (zenon_L1358_ : ((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c1_1 (a2533)))/\((~(c2_1 (a2533)))/\(~(c3_1 (a2533))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c3_1 (a2528)) -> (~(c0_1 (a2528))) -> (~(c1_1 (a2528))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp12))) -> False).
% 1.41/1.57 do 0 intro. intros zenon_H12b zenon_H2ae zenon_H190 zenon_Hb3 zenon_H177 zenon_H225 zenon_H226 zenon_H227 zenon_H230 zenon_H1bc zenon_H105 zenon_H103 zenon_H10d zenon_H1e5 zenon_H1c7 zenon_H148 zenon_H282 zenon_H281 zenon_H280 zenon_H134 zenon_H133 zenon_H132 zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H2b4 zenon_H74 zenon_H296 zenon_H297 zenon_H298 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H2a3.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.41/1.57 apply (zenon_L532_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.57 apply (zenon_L1210_); trivial.
% 1.41/1.57 apply (zenon_L1357_); trivial.
% 1.41/1.57 apply (zenon_L343_); trivial.
% 1.41/1.57 (* end of lemma zenon_L1358_ *)
% 1.41/1.57 assert (zenon_L1359_ : ((~(hskp9))\/((ndr1_0)/\((c1_1 (a2526))/\((c3_1 (a2526))/\(~(c0_1 (a2526))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((hskp23)\/(hskp27)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(c3_1 (a2523))) -> (c0_1 (a2523)) -> (c1_1 (a2523)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> (~(hskp8)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> False).
% 1.41/1.57 do 0 intro. intros zenon_H1f5 zenon_H12e zenon_Hb3 zenon_H1f3 zenon_H1c7 zenon_H2de zenon_H2f4 zenon_H74 zenon_H190 zenon_H177 zenon_H230 zenon_H2d8 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H11d zenon_H148 zenon_H92 zenon_H7f zenon_Ha2 zenon_H54 zenon_Hdd zenon_H289 zenon_H282 zenon_H281 zenon_H280 zenon_Hcb zenon_H144 zenon_H225 zenon_H226 zenon_H227 zenon_H241 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H21 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_Hef zenon_H112 zenon_H2ba zenon_Hb9.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.41/1.57 apply (zenon_L773_); trivial.
% 1.41/1.57 apply (zenon_L1353_); trivial.
% 1.41/1.57 (* end of lemma zenon_L1359_ *)
% 1.41/1.57 assert (zenon_L1360_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((hskp23)\/(hskp27)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c1_1 (a2533))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a2523)) -> (c0_1 (a2523)) -> (~(c3_1 (a2523))) -> (ndr1_0) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> False).
% 1.41/1.57 do 0 intro. intros zenon_Hba zenon_H74 zenon_H2f4 zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_Hdd zenon_Hcb zenon_H2de zenon_H3e zenon_Hef zenon_H1c7 zenon_H2a7 zenon_H2a6 zenon_H2a5 zenon_H148 zenon_H146 zenon_H282 zenon_H281 zenon_H280 zenon_H134 zenon_H133 zenon_H132 zenon_H296 zenon_H297 zenon_H298 zenon_H1f3 zenon_H1d9 zenon_H1d8 zenon_H2b4 zenon_Hb3 zenon_H152 zenon_Hd6 zenon_H227 zenon_H226 zenon_H225 zenon_H12 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H177.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.41/1.57 apply (zenon_L324_); trivial.
% 1.41/1.57 apply (zenon_L1338_); trivial.
% 1.41/1.57 (* end of lemma zenon_L1360_ *)
% 1.41/1.57 assert (zenon_L1361_ : ((~(hskp12))\/((ndr1_0)/\((~(c1_1 (a2533)))/\((~(c2_1 (a2533)))/\(~(c3_1 (a2533))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((hskp23)\/(hskp27)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> (ndr1_0) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp12))) -> False).
% 1.41/1.57 do 0 intro. intros zenon_H2ae zenon_H74 zenon_H2f4 zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_Hdd zenon_H289 zenon_H1f zenon_H282 zenon_H281 zenon_H280 zenon_Hcb zenon_H2de zenon_H2b4 zenon_H3e zenon_Hef zenon_H1c7 zenon_H1ea zenon_H262 zenon_H263 zenon_H261 zenon_H1e5 zenon_Hb3 zenon_H12 zenon_H296 zenon_H297 zenon_H298 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H2a3.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.41/1.57 apply (zenon_L532_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.57 apply (zenon_L604_); trivial.
% 1.41/1.57 apply (zenon_L1309_); trivial.
% 1.41/1.57 (* end of lemma zenon_L1361_ *)
% 1.41/1.57 assert (zenon_L1362_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> ((hskp23)\/(hskp27)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c1_1 (a2533))) -> (ndr1_0) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.41/1.57 do 0 intro. intros zenon_H74 zenon_H2f4 zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_Hdd zenon_H148 zenon_H146 zenon_H134 zenon_H133 zenon_H132 zenon_Hcb zenon_H2de zenon_H282 zenon_H281 zenon_H280 zenon_H296 zenon_H297 zenon_H298 zenon_H2b4 zenon_H3e zenon_Hef zenon_H1c7 zenon_H2a7 zenon_H2a6 zenon_H2a5 zenon_H12 zenon_H1ea zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H262 zenon_H263 zenon_H261 zenon_H1e5 zenon_Hb3.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.57 apply (zenon_L604_); trivial.
% 1.41/1.57 apply (zenon_L1315_); trivial.
% 1.41/1.57 (* end of lemma zenon_L1362_ *)
% 1.41/1.57 assert (zenon_L1363_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (ndr1_0) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((hskp23)\/(hskp27)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a2531)) -> (c2_1 (a2531)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c0_1 (a2519))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.41/1.57 do 0 intro. intros zenon_H74 zenon_H2f4 zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H2de zenon_H3e zenon_H148 zenon_H146 zenon_H281 zenon_H282 zenon_H1c7 zenon_H134 zenon_H133 zenon_H132 zenon_H12 zenon_Hdd zenon_Hcb zenon_H2b4 zenon_H121 zenon_H122 zenon_H27a zenon_H263 zenon_H262 zenon_H261 zenon_H1f3 zenon_H298 zenon_H297 zenon_H296 zenon_H280 zenon_Ha2 zenon_Hef zenon_Hb3.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.41/1.57 apply (zenon_L712_); trivial.
% 1.41/1.57 apply (zenon_L792_); trivial.
% 1.41/1.57 apply (zenon_L1315_); trivial.
% 1.41/1.57 (* end of lemma zenon_L1363_ *)
% 1.41/1.57 assert (zenon_L1364_ : ((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a2541))) -> (~(c2_1 (a2541))) -> (c3_1 (a2541)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c1_1 (a2533))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.41/1.57 do 0 intro. intros zenon_Hb2 zenon_H74 zenon_Hef zenon_H189 zenon_H1e0 zenon_H2d8 zenon_H180 zenon_H181 zenon_H182 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H163 zenon_H2f9 zenon_H2f7 zenon_H223 zenon_H216 zenon_H174 zenon_H177 zenon_H92 zenon_H2f4 zenon_H1c7 zenon_H2a7 zenon_H2a6 zenon_H2a5 zenon_H1ea zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H262 zenon_H263 zenon_H261 zenon_H1e5 zenon_Hb3.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.57 apply (zenon_L604_); trivial.
% 1.41/1.57 apply (zenon_L1100_); trivial.
% 1.41/1.57 (* end of lemma zenon_L1364_ *)
% 1.41/1.57 assert (zenon_L1365_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c1_1 (a2533))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> False).
% 1.41/1.57 do 0 intro. intros zenon_H18d zenon_Hba zenon_H74 zenon_Hef zenon_H189 zenon_H1e0 zenon_H163 zenon_H2f9 zenon_H2f7 zenon_H223 zenon_H216 zenon_H174 zenon_H92 zenon_H2f4 zenon_H1c7 zenon_H2a7 zenon_H2a6 zenon_H2a5 zenon_H1ea zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H262 zenon_H263 zenon_H261 zenon_H1e5 zenon_Hb3 zenon_H11d zenon_H11b zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H2d8 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H177.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.41/1.57 apply (zenon_L822_); trivial.
% 1.41/1.57 apply (zenon_L1364_); trivial.
% 1.41/1.57 (* end of lemma zenon_L1365_ *)
% 1.41/1.57 assert (zenon_L1366_ : ((~(hskp12))\/((ndr1_0)/\((~(c1_1 (a2533)))/\((~(c2_1 (a2533)))/\(~(c3_1 (a2533))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> ((hskp23)\/(hskp27)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> (ndr1_0) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp12))) -> False).
% 1.41/1.57 do 0 intro. intros zenon_H2ae zenon_H74 zenon_H2f4 zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_Hdd zenon_H289 zenon_H1f zenon_H282 zenon_H281 zenon_H280 zenon_Hcb zenon_H2de zenon_H2b4 zenon_H3e zenon_Hef zenon_H1c7 zenon_H2fe zenon_H2ff zenon_H300 zenon_H1e5 zenon_Hb3 zenon_H12 zenon_H296 zenon_H297 zenon_H298 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H2a3.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.41/1.57 apply (zenon_L532_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.57 apply (zenon_L1262_); trivial.
% 1.41/1.57 apply (zenon_L1309_); trivial.
% 1.41/1.57 (* end of lemma zenon_L1366_ *)
% 1.41/1.57 assert (zenon_L1367_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> (~(c0_1 (a2526))) -> (c1_1 (a2526)) -> (c3_1 (a2526)) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> (~(hskp17)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c1_1 (a2533))) -> (ndr1_0) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.41/1.57 do 0 intro. intros zenon_H74 zenon_H2b4 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2d8 zenon_H298 zenon_H297 zenon_H296 zenon_H132 zenon_H133 zenon_H134 zenon_H280 zenon_H281 zenon_H282 zenon_H146 zenon_H148 zenon_H1c7 zenon_H2a7 zenon_H2a6 zenon_H2a5 zenon_H12 zenon_H2fe zenon_H2ff zenon_H300 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e5 zenon_Hb3.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.57 apply (zenon_L1262_); trivial.
% 1.41/1.57 apply (zenon_L1357_); trivial.
% 1.41/1.57 (* end of lemma zenon_L1367_ *)
% 1.41/1.57 assert (zenon_L1368_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> (~(hskp16)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> (ndr1_0) -> (~(c1_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c3_1 (a2533))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (c3_1 (a2526)) -> (c1_1 (a2526)) -> (~(c0_1 (a2526))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.41/1.57 do 0 intro. intros zenon_H190 zenon_H92 zenon_H177 zenon_H174 zenon_H216 zenon_H261 zenon_H262 zenon_H263 zenon_H223 zenon_H163 zenon_H1bc zenon_H1e0 zenon_H144 zenon_H5 zenon_H27a zenon_Ha2 zenon_Hef zenon_Hb3 zenon_H1e5 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H300 zenon_H2ff zenon_H2fe zenon_H12 zenon_H2a5 zenon_H2a6 zenon_H2a7 zenon_H1c7 zenon_H148 zenon_H282 zenon_H281 zenon_H280 zenon_H134 zenon_H133 zenon_H132 zenon_H296 zenon_H297 zenon_H298 zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H2b4 zenon_H74.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.57 apply (zenon_L1367_); trivial.
% 1.41/1.57 apply (zenon_L1295_); trivial.
% 1.41/1.57 (* end of lemma zenon_L1368_ *)
% 1.41/1.57 assert (zenon_L1369_ : ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c1_1 (a2564))) -> (~(c2_1 (a2564))) -> (c0_1 (a2564)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W))))) -> (~(hskp17)) -> False).
% 1.41/1.57 do 0 intro. intros zenon_H148 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H261 zenon_H262 zenon_H263 zenon_H82 zenon_H83 zenon_H84 zenon_H223 zenon_H282 zenon_H281 zenon_H280 zenon_H12 zenon_Hf2 zenon_H146.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H131 | zenon_intro zenon_H149 ].
% 1.41/1.57 apply (zenon_L439_); trivial.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hcc | zenon_intro zenon_H147 ].
% 1.41/1.57 apply (zenon_L517_); trivial.
% 1.41/1.57 exact (zenon_H146 zenon_H147).
% 1.41/1.57 (* end of lemma zenon_L1369_ *)
% 1.41/1.57 assert (zenon_L1370_ : ((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> False).
% 1.41/1.57 do 0 intro. intros zenon_H71 zenon_Hb3 zenon_H1ea zenon_H1e0 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H148 zenon_H146 zenon_H282 zenon_H281 zenon_H280 zenon_H261 zenon_H262 zenon_H263 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H223 zenon_H296 zenon_H297 zenon_H298 zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H2b4 zenon_H92.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H7d | zenon_intro zenon_H8d ].
% 1.41/1.57 apply (zenon_L177_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H12. zenon_intro zenon_H8f.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H84. zenon_intro zenon_H90.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H82. zenon_intro zenon_H83.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H2b5 ].
% 1.41/1.57 apply (zenon_L1369_); trivial.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H295 | zenon_intro zenon_H2d ].
% 1.41/1.57 apply (zenon_L528_); trivial.
% 1.41/1.57 apply (zenon_L1356_); trivial.
% 1.41/1.57 apply (zenon_L196_); trivial.
% 1.41/1.57 (* end of lemma zenon_L1370_ *)
% 1.41/1.57 assert (zenon_L1371_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> (~(hskp17)) -> (~(c3_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c0_1 (a2519))) -> (~(c1_1 (a2521))) -> (c2_1 (a2521)) -> (c3_1 (a2521)) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (~(c0_1 (a2518))) -> (~(c3_1 (a2518))) -> (c1_1 (a2518)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c1_1 (a2533))) -> (ndr1_0) -> (~(c0_1 (a2522))) -> (c2_1 (a2522)) -> (c3_1 (a2522)) -> (~(c3_1 (a2525))) -> (c0_1 (a2525)) -> (c2_1 (a2525)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> False).
% 1.41/1.57 do 0 intro. intros zenon_H74 zenon_H1ea zenon_H1e0 zenon_H148 zenon_H146 zenon_H282 zenon_H281 zenon_H280 zenon_H261 zenon_H262 zenon_H263 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H223 zenon_H296 zenon_H297 zenon_H298 zenon_H2d8 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H2b4 zenon_H92 zenon_H1c7 zenon_H2a7 zenon_H2a6 zenon_H2a5 zenon_H12 zenon_H2fe zenon_H2ff zenon_H300 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e5 zenon_Hb3.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.57 apply (zenon_L1262_); trivial.
% 1.41/1.57 apply (zenon_L1370_); trivial.
% 1.41/1.57 (* end of lemma zenon_L1371_ *)
% 1.41/1.57 assert (zenon_L1372_ : ((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> (~(hskp18)) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c3_1 (a2541)) -> (~(c2_1 (a2541))) -> (~(c1_1 (a2541))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> False).
% 1.41/1.57 do 0 intro. intros zenon_H71 zenon_H177 zenon_H20d zenon_Hb zenon_H1fc zenon_H1fb zenon_H1fa zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H1bc zenon_H182 zenon_H181 zenon_H180 zenon_H2d8.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.41/1.57 apply (zenon_L888_); trivial.
% 1.41/1.57 apply (zenon_L223_); trivial.
% 1.41/1.57 (* end of lemma zenon_L1372_ *)
% 1.41/1.57 assert (zenon_L1373_ : ((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> (c0_1 (a2540)) -> (~(c3_1 (a2540))) -> (~(c2_1 (a2540))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> (~(c1_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c3_1 (a2533))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> (~(c2_1 (a2524))) -> (c1_1 (a2524)) -> (c3_1 (a2524)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.41/1.57 do 0 intro. intros zenon_H18d zenon_Hba zenon_H92 zenon_H174 zenon_H216 zenon_H223 zenon_H163 zenon_H1e0 zenon_H189 zenon_Hef zenon_H27a zenon_H68 zenon_H67 zenon_H66 zenon_H263 zenon_H262 zenon_H261 zenon_H1f3 zenon_Ha2 zenon_Hb3 zenon_H1e5 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H300 zenon_H2ff zenon_H2fe zenon_H2a5 zenon_H2a6 zenon_H2a7 zenon_H1c7 zenon_H2d8 zenon_H1bc zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H1fa zenon_H1fb zenon_H1fc zenon_H20d zenon_H177 zenon_H74.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.57 apply (zenon_L1262_); trivial.
% 1.41/1.57 apply (zenon_L1372_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H12. zenon_intro zenon_Hb4.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H57. zenon_intro zenon_Hb5.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H58. zenon_intro zenon_H56.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.57 apply (zenon_L1297_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.41/1.57 apply (zenon_L1114_); trivial.
% 1.41/1.57 apply (zenon_L409_); trivial.
% 1.41/1.57 apply (zenon_L1092_); trivial.
% 1.41/1.57 (* end of lemma zenon_L1373_ *)
% 1.41/1.57 assert (zenon_L1374_ : ((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a2525)) -> (c0_1 (a2525)) -> (~(c3_1 (a2525))) -> (c3_1 (a2522)) -> (c2_1 (a2522)) -> (~(c0_1 (a2522))) -> (~(c1_1 (a2533))) -> (~(c2_1 (a2533))) -> (~(c3_1 (a2533))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (~(c0_1 (a2517))) -> (~(c3_1 (a2517))) -> (c2_1 (a2517)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c1_1 (a2518)) -> (~(c3_1 (a2518))) -> (~(c0_1 (a2518))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> (c3_1 (a2524)) -> (c1_1 (a2524)) -> (~(c2_1 (a2524))) -> (c3_1 (a2521)) -> (c2_1 (a2521)) -> (~(c1_1 (a2521))) -> (~(c0_1 (a2519))) -> (~(c2_1 (a2519))) -> (~(c3_1 (a2519))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> False).
% 1.41/1.57 do 0 intro. intros zenon_Hb6 zenon_H190 zenon_Hba zenon_H174 zenon_H216 zenon_H163 zenon_H189 zenon_Hef zenon_H27a zenon_H1f3 zenon_Ha2 zenon_H1bc zenon_H20d zenon_H177 zenon_Hb3 zenon_H1e5 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H300 zenon_H2ff zenon_H2fe zenon_H2a5 zenon_H2a6 zenon_H2a7 zenon_H1c7 zenon_H92 zenon_H2b4 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2d8 zenon_H298 zenon_H297 zenon_H296 zenon_H223 zenon_H1fc zenon_H1fb zenon_H1fa zenon_H263 zenon_H262 zenon_H261 zenon_H280 zenon_H281 zenon_H282 zenon_H148 zenon_H1e0 zenon_H1ea zenon_H74.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.57 apply (zenon_L1371_); trivial.
% 1.41/1.57 apply (zenon_L1373_); trivial.
% 1.41/1.57 (* end of lemma zenon_L1374_ *)
% 1.41/1.57 assert (zenon_L1375_ : ((~(hskp2))\/((ndr1_0)/\((c1_1 (a2518))/\((~(c0_1 (a2518)))/\(~(c3_1 (a2518))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c1_1 (a2533)))/\((~(c2_1 (a2533)))/\(~(c3_1 (a2533))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp12))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((hskp13)\/(hskp4))) -> ((~(hskp4))\/((ndr1_0)/\((c2_1 (a2521))/\((c3_1 (a2521))/\(~(c1_1 (a2521))))))) -> ((~(hskp5))\/((ndr1_0)/\((c2_1 (a2522))/\((c3_1 (a2522))/\(~(c0_1 (a2522))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((hskp18)\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp5)\/(hskp22))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp6))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp28))) -> ((~(hskp7))\/((ndr1_0)/\((c1_1 (a2524))/\((c3_1 (a2524))/\(~(c2_1 (a2524))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a2539))/\((~(c0_1 (a2539)))/\(~(c2_1 (a2539))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp14))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp14))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp18))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp4)\/(hskp15))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2545))/\((c2_1 (a2545))/\(~(c0_1 (a2545))))))) -> ((~(hskp9))\/((ndr1_0)/\((c1_1 (a2526))/\((c3_1 (a2526))/\(~(c0_1 (a2526))))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a2528))/\((~(c0_1 (a2528)))/\(~(c1_1 (a2528))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2555))/\((c2_1 (a2555))/\(~(c1_1 (a2555))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a2541))/\((~(c1_1 (a2541)))/\(~(c2_1 (a2541))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/(hskp11))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp29))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((hskp31)\/(hskp23))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a2597))/\((c1_1 (a2597))/\(c3_1 (a2597)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2556))/\((c2_1 (a2556))/\(c3_1 (a2556)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2614))/\((~(c2_1 (a2614)))/\(~(c3_1 (a2614))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp17))) -> ((hskp23)\/(hskp27)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2553))/\((~(c1_1 (a2553)))/\(~(c3_1 (a2553))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a2531))/\((c2_1 (a2531))/\(~(c3_1 (a2531))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a2548))/\((c3_1 (a2548))/\(~(c1_1 (a2548))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp4))) -> (c2_1 (a2517)) -> (~(c3_1 (a2517))) -> (~(c0_1 (a2517))) -> ((hskp6)\/((hskp19)\/(hskp16))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp9)\/(hskp4))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2540))/\((~(c2_1 (a2540)))/\(~(c3_1 (a2540))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2536)))/\((~(c1_1 (a2536)))/\(~(c3_1 (a2536))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp20)\/(hskp14))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((hskp25)\/(hskp20))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp7))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2564))/\((~(c1_1 (a2564)))/\(~(c2_1 (a2564))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2549))/\((~(c0_1 (a2549)))/\(~(c1_1 (a2549))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(hskp3))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(c3_1 X63)))))\/((hskp19)\/(hskp20))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a2525))/\((c2_1 (a2525))/\(~(c3_1 (a2525))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2551))/\((c1_1 (a2551))/\(~(c2_1 (a2551))))))) -> ((hskp21)\/((hskp2)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2601))/\((c3_1 (a2601))/\(~(c2_1 (a2601))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c1_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c1_1 X76))))))\/((hskp29)\/(hskp10))) -> ((hskp30)\/((hskp21)\/(hskp26))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2558))/\((c1_1 (a2558))/\(c2_1 (a2558)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp24)\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((hskp25)\/(hskp3))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c2_1 X59))\/(~(c3_1 X59)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c3_1 X37)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2534))/\((~(c0_1 (a2534)))/\(~(c2_1 (a2534))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2552))/\((~(c1_1 (a2552)))/\(~(c3_1 (a2552))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp30)\/(hskp22))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/((hskp30)\/(hskp9))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2529))/\((c2_1 (a2529))/\(c3_1 (a2529)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((hskp28)\/(hskp3))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((c3_1 X74)\/(~(c0_1 X74))))))\/((hskp19)\/(hskp16))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp16))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp13))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/((hskp21)\/(hskp22))) -> ((~(hskp6))\/((ndr1_0)/\((c0_1 (a2523))/\((c1_1 (a2523))/\(~(c3_1 (a2523))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(~(c0_1 X23))))))\/(hskp8))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/(hskp9))) -> ((~(hskp3))\/((ndr1_0)/\((~(c0_1 (a2519)))/\((~(c2_1 (a2519)))/\(~(c3_1 (a2519))))))) -> False).
% 1.41/1.57 do 0 intro. intros zenon_H313 zenon_H2ae zenon_H2a3 zenon_H2b4 zenon_H29f zenon_H2bf zenon_H314 zenon_H307 zenon_H2f9 zenon_H27a zenon_H203 zenon_H3a zenon_H259 zenon_H1b9 zenon_H2da zenon_H254 zenon_H20d zenon_H63 zenon_Hba zenon_H1f5 zenon_H1d4 zenon_H18b zenon_H1b3 zenon_Ha2 zenon_H116 zenon_H190 zenon_H189 zenon_H11d zenon_H1bc zenon_H163 zenon_H157 zenon_H174 zenon_H177 zenon_Hdd zenon_H148 zenon_Hcb zenon_H142 zenon_Hef zenon_H12e zenon_H74 zenon_H2d8 zenon_H129 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H7 zenon_H6f zenon_Hb9 zenon_H101 zenon_H1e7 zenon_Heb zenon_H1e0 zenon_H12f zenon_H92 zenon_H1ea zenon_H1f3 zenon_Hb3 zenon_H1e5 zenon_Hae zenon_H4b zenon_H1c7 zenon_H25a zenon_H241 zenon_H54 zenon_H79 zenon_H1b7 zenon_H230 zenon_H152 zenon_H1a2 zenon_H3e zenon_H7f zenon_H9d zenon_H216 zenon_H223 zenon_H1d5 zenon_H2f4 zenon_H2de zenon_H21 zenon_Hd9 zenon_H51 zenon_Hc5 zenon_H1e9 zenon_H144 zenon_H8e zenon_H2f5 zenon_H27b zenon_H2ba zenon_H289 zenon_H2be.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H75 | zenon_intro zenon_H315 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H49 | zenon_intro zenon_H2c0 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H5f | zenon_intro zenon_H2c1 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H1 | zenon_intro zenon_H27c ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H114 | zenon_intro zenon_H25b ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H112 | zenon_intro zenon_H25c ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.41/1.57 apply (zenon_L813_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.57 apply (zenon_L817_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.57 apply (zenon_L812_); trivial.
% 1.41/1.57 apply (zenon_L151_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.57 apply (zenon_L82_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.57 apply (zenon_L812_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.57 apply (zenon_L101_); trivial.
% 1.41/1.57 apply (zenon_L173_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1d8. zenon_intro zenon_H25e.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.41/1.57 apply (zenon_L813_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.57 apply (zenon_L817_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.57 apply (zenon_L818_); trivial.
% 1.41/1.57 apply (zenon_L819_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.57 apply (zenon_L191_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.57 apply (zenon_L812_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.57 apply (zenon_L820_); trivial.
% 1.41/1.57 apply (zenon_L197_); trivial.
% 1.41/1.57 apply (zenon_L211_); trivial.
% 1.41/1.57 apply (zenon_L819_); trivial.
% 1.41/1.57 apply (zenon_L830_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H12. zenon_intro zenon_H27d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H27d). zenon_intro zenon_H226. zenon_intro zenon_H27e.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H27e). zenon_intro zenon_H227. zenon_intro zenon_H225.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H114 | zenon_intro zenon_H25b ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H112 | zenon_intro zenon_H25c ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.41/1.57 apply (zenon_L832_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.41/1.57 apply (zenon_L265_); trivial.
% 1.41/1.57 apply (zenon_L831_); trivial.
% 1.41/1.57 apply (zenon_L833_); trivial.
% 1.41/1.57 apply (zenon_L276_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.41/1.57 apply (zenon_L832_); trivial.
% 1.41/1.57 apply (zenon_L278_); trivial.
% 1.41/1.57 apply (zenon_L279_); trivial.
% 1.41/1.57 apply (zenon_L288_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1d8. zenon_intro zenon_H25e.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.41/1.57 apply (zenon_L182_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.41/1.57 apply (zenon_L303_); trivial.
% 1.41/1.57 apply (zenon_L831_); trivial.
% 1.41/1.57 apply (zenon_L834_); trivial.
% 1.41/1.57 apply (zenon_L838_); trivial.
% 1.41/1.57 apply (zenon_L315_); trivial.
% 1.41/1.57 apply (zenon_L322_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H12. zenon_intro zenon_H25f.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H1fb. zenon_intro zenon_H260.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H1fc. zenon_intro zenon_H1fa.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.41/1.57 apply (zenon_L875_); trivial.
% 1.41/1.57 apply (zenon_L883_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H12. zenon_intro zenon_H2c2.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H2c2). zenon_intro zenon_H262. zenon_intro zenon_H2c3.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H263. zenon_intro zenon_H261.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H314); [ zenon_intro zenon_H2f7 | zenon_intro zenon_H316 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H1 | zenon_intro zenon_H27c ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H114 | zenon_intro zenon_H25b ].
% 1.41/1.57 apply (zenon_L424_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H12. zenon_intro zenon_H25f.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H1fb. zenon_intro zenon_H260.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H1fc. zenon_intro zenon_H1fa.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.57 apply (zenon_L909_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.57 apply (zenon_L453_); trivial.
% 1.41/1.57 apply (zenon_L913_); trivial.
% 1.41/1.57 apply (zenon_L915_); trivial.
% 1.41/1.57 apply (zenon_L933_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.57 apply (zenon_L934_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.57 apply (zenon_L474_); trivial.
% 1.41/1.57 apply (zenon_L913_); trivial.
% 1.41/1.57 apply (zenon_L207_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.57 apply (zenon_L936_); trivial.
% 1.41/1.57 apply (zenon_L937_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H12. zenon_intro zenon_H27d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H27d). zenon_intro zenon_H226. zenon_intro zenon_H27e.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H27e). zenon_intro zenon_H227. zenon_intro zenon_H225.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H114 | zenon_intro zenon_H25b ].
% 1.41/1.57 apply (zenon_L424_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H12. zenon_intro zenon_H25f.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H1fb. zenon_intro zenon_H260.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H1fc. zenon_intro zenon_H1fa.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.57 apply (zenon_L946_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.57 apply (zenon_L944_); trivial.
% 1.41/1.57 apply (zenon_L330_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.57 apply (zenon_L861_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.57 apply (zenon_L947_); trivial.
% 1.41/1.57 apply (zenon_L330_); trivial.
% 1.41/1.57 apply (zenon_L952_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H12. zenon_intro zenon_H317.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H2ff. zenon_intro zenon_H318.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_H300. zenon_intro zenon_H2fe.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H1 | zenon_intro zenon_H27c ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H114 | zenon_intro zenon_H25b ].
% 1.41/1.57 apply (zenon_L956_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H12. zenon_intro zenon_H25f.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H1fb. zenon_intro zenon_H260.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H1fc. zenon_intro zenon_H1fa.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.41/1.57 apply (zenon_L993_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.57 apply (zenon_L997_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.57 apply (zenon_L995_); trivial.
% 1.41/1.57 apply (zenon_L207_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.57 apply (zenon_L1000_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.57 apply (zenon_L998_); trivial.
% 1.41/1.57 apply (zenon_L992_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H12. zenon_intro zenon_H27d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H27d). zenon_intro zenon_H226. zenon_intro zenon_H27e.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H27e). zenon_intro zenon_H227. zenon_intro zenon_H225.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H114 | zenon_intro zenon_H25b ].
% 1.41/1.57 apply (zenon_L956_); trivial.
% 1.41/1.57 apply (zenon_L1028_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H12. zenon_intro zenon_H2c4.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H2c4). zenon_intro zenon_H280. zenon_intro zenon_H2c5.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_H281. zenon_intro zenon_H282.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H5f | zenon_intro zenon_H2c1 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H1 | zenon_intro zenon_H27c ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H114 | zenon_intro zenon_H25b ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H112 | zenon_intro zenon_H25c ].
% 1.41/1.57 apply (zenon_L1033_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1d8. zenon_intro zenon_H25e.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.41/1.57 apply (zenon_L519_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.57 apply (zenon_L812_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.57 apply (zenon_L1034_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.41/1.57 apply (zenon_L182_); trivial.
% 1.41/1.57 apply (zenon_L1035_); trivial.
% 1.41/1.57 apply (zenon_L819_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.57 apply (zenon_L1036_); trivial.
% 1.41/1.57 apply (zenon_L819_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H12. zenon_intro zenon_H25f.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H1fb. zenon_intro zenon_H260.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H1fc. zenon_intro zenon_H1fa.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H112 | zenon_intro zenon_H25c ].
% 1.41/1.57 apply (zenon_L1044_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1d8. zenon_intro zenon_H25e.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.57 apply (zenon_L1045_); trivial.
% 1.41/1.57 apply (zenon_L1046_); trivial.
% 1.41/1.57 apply (zenon_L1047_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.57 apply (zenon_L1048_); trivial.
% 1.41/1.57 apply (zenon_L1047_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.41/1.57 apply (zenon_L1050_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.57 apply (zenon_L1053_); trivial.
% 1.41/1.57 apply (zenon_L829_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H12. zenon_intro zenon_H27d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H27d). zenon_intro zenon_H226. zenon_intro zenon_H27e.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H27e). zenon_intro zenon_H227. zenon_intro zenon_H225.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H112 | zenon_intro zenon_H25c ].
% 1.41/1.57 apply (zenon_L1063_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1d8. zenon_intro zenon_H25e.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.57 apply (zenon_L1055_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.57 apply (zenon_L1054_); trivial.
% 1.41/1.57 apply (zenon_L330_); trivial.
% 1.41/1.57 apply (zenon_L1065_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.41/1.57 apply (zenon_L1066_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.57 apply (zenon_L1051_); trivial.
% 1.41/1.57 apply (zenon_L842_); trivial.
% 1.41/1.57 apply (zenon_L1069_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H12. zenon_intro zenon_H2c2.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H2c2). zenon_intro zenon_H262. zenon_intro zenon_H2c3.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H263. zenon_intro zenon_H261.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H314); [ zenon_intro zenon_H2f7 | zenon_intro zenon_H316 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H1 | zenon_intro zenon_H27c ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H114 | zenon_intro zenon_H25b ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H112 | zenon_intro zenon_H25c ].
% 1.41/1.57 apply (zenon_L419_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1d8. zenon_intro zenon_H25e.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.41/1.57 apply (zenon_L1073_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.57 apply (zenon_L422_); trivial.
% 1.41/1.57 apply (zenon_L1078_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H12. zenon_intro zenon_H25f.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H1fb. zenon_intro zenon_H260.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H1fc. zenon_intro zenon_H1fa.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H112 | zenon_intro zenon_H25c ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.41/1.57 apply (zenon_L1039_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.57 apply (zenon_L1085_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.57 apply (zenon_L474_); trivial.
% 1.41/1.57 apply (zenon_L1090_); trivial.
% 1.41/1.57 apply (zenon_L1091_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1d8. zenon_intro zenon_H25e.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.57 apply (zenon_L1045_); trivial.
% 1.41/1.57 apply (zenon_L1072_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.57 apply (zenon_L1038_); trivial.
% 1.41/1.57 apply (zenon_L1093_); trivial.
% 1.41/1.57 apply (zenon_L1072_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.57 apply (zenon_L1095_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.57 apply (zenon_L1097_); trivial.
% 1.41/1.57 apply (zenon_L1093_); trivial.
% 1.41/1.57 apply (zenon_L1072_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.57 apply (zenon_L1102_); trivial.
% 1.41/1.57 apply (zenon_L908_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.57 apply (zenon_L1102_); trivial.
% 1.41/1.57 apply (zenon_L1077_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.57 apply (zenon_L1104_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.57 apply (zenon_L1103_); trivial.
% 1.41/1.57 apply (zenon_L1077_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H12. zenon_intro zenon_H27d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H27d). zenon_intro zenon_H226. zenon_intro zenon_H27e.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H27e). zenon_intro zenon_H227. zenon_intro zenon_H225.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H114 | zenon_intro zenon_H25b ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H112 | zenon_intro zenon_H25c ].
% 1.41/1.57 apply (zenon_L419_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1d8. zenon_intro zenon_H25e.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.41/1.57 apply (zenon_L1073_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.57 apply (zenon_L422_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.57 apply (zenon_L1025_); trivial.
% 1.41/1.57 apply (zenon_L1077_); trivial.
% 1.41/1.57 apply (zenon_L1105_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H12. zenon_intro zenon_H25f.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H1fb. zenon_intro zenon_H260.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H1fc. zenon_intro zenon_H1fa.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H112 | zenon_intro zenon_H25c ].
% 1.41/1.57 apply (zenon_L1107_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1d8. zenon_intro zenon_H25e.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.57 apply (zenon_L844_); trivial.
% 1.41/1.57 apply (zenon_L1111_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.57 apply (zenon_L861_); trivial.
% 1.41/1.57 apply (zenon_L1111_); trivial.
% 1.41/1.57 apply (zenon_L1112_); trivial.
% 1.41/1.57 apply (zenon_L1027_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H12. zenon_intro zenon_H317.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H2ff. zenon_intro zenon_H318.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_H300. zenon_intro zenon_H2fe.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H1 | zenon_intro zenon_H27c ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H114 | zenon_intro zenon_H25b ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H112 | zenon_intro zenon_H25c ].
% 1.41/1.57 apply (zenon_L419_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1d8. zenon_intro zenon_H25e.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.57 apply (zenon_L422_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.57 apply (zenon_L1113_); trivial.
% 1.41/1.57 apply (zenon_L1071_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.57 apply (zenon_L422_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.57 apply (zenon_L1117_); trivial.
% 1.41/1.57 apply (zenon_L1077_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H12. zenon_intro zenon_H25f.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H1fb. zenon_intro zenon_H260.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H1fc. zenon_intro zenon_H1fa.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H112 | zenon_intro zenon_H25c ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.41/1.57 apply (zenon_L1039_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.57 apply (zenon_L1120_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.57 apply (zenon_L998_); trivial.
% 1.41/1.57 apply (zenon_L1124_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1d8. zenon_intro zenon_H25e.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.57 apply (zenon_L1125_); trivial.
% 1.41/1.57 apply (zenon_L978_); trivial.
% 1.41/1.57 apply (zenon_L1126_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.57 apply (zenon_L1125_); trivial.
% 1.41/1.57 apply (zenon_L990_); trivial.
% 1.41/1.57 apply (zenon_L1126_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.57 apply (zenon_L1095_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.57 apply (zenon_L1097_); trivial.
% 1.41/1.57 apply (zenon_L990_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.41/1.57 apply (zenon_L1127_); trivial.
% 1.41/1.57 apply (zenon_L1110_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.57 apply (zenon_L1128_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.57 apply (zenon_L995_); trivial.
% 1.41/1.57 apply (zenon_L1132_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.57 apply (zenon_L1133_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.57 apply (zenon_L998_); trivial.
% 1.41/1.57 apply (zenon_L1134_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.57 apply (zenon_L1128_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.57 apply (zenon_L995_); trivial.
% 1.41/1.57 apply (zenon_L1136_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.57 apply (zenon_L1133_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.57 apply (zenon_L998_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.57 apply (zenon_L1137_); trivial.
% 1.41/1.57 apply (zenon_L989_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H12. zenon_intro zenon_H27d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H27d). zenon_intro zenon_H226. zenon_intro zenon_H27e.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H27e). zenon_intro zenon_H227. zenon_intro zenon_H225.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H114 | zenon_intro zenon_H25b ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H112 | zenon_intro zenon_H25c ].
% 1.41/1.57 apply (zenon_L419_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1d8. zenon_intro zenon_H25e.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.57 apply (zenon_L1125_); trivial.
% 1.41/1.57 apply (zenon_L878_); trivial.
% 1.41/1.57 apply (zenon_L1126_); trivial.
% 1.41/1.57 apply (zenon_L1112_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.57 apply (zenon_L1138_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.57 apply (zenon_L1025_); trivial.
% 1.41/1.57 apply (zenon_L1132_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.57 apply (zenon_L1139_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.57 apply (zenon_L509_); trivial.
% 1.41/1.57 apply (zenon_L1134_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.57 apply (zenon_L1140_); trivial.
% 1.41/1.57 apply (zenon_L1145_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H12. zenon_intro zenon_H25f.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H1fb. zenon_intro zenon_H260.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H1fc. zenon_intro zenon_H1fa.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H112 | zenon_intro zenon_H25c ].
% 1.41/1.57 apply (zenon_L1107_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1d8. zenon_intro zenon_H25e.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.57 apply (zenon_L844_); trivial.
% 1.41/1.57 apply (zenon_L1126_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.57 apply (zenon_L861_); trivial.
% 1.41/1.57 apply (zenon_L1126_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.57 apply (zenon_L844_); trivial.
% 1.41/1.57 apply (zenon_L1094_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.57 apply (zenon_L861_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.41/1.57 apply (zenon_L1127_); trivial.
% 1.41/1.57 apply (zenon_L1146_); trivial.
% 1.41/1.57 apply (zenon_L1149_); trivial.
% 1.41/1.57 apply (zenon_L1027_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H12. zenon_intro zenon_H319.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H319). zenon_intro zenon_H298. zenon_intro zenon_H31a.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_H296. zenon_intro zenon_H297.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H49 | zenon_intro zenon_H2c0 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H5f | zenon_intro zenon_H2c1 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H1 | zenon_intro zenon_H27c ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H114 | zenon_intro zenon_H25b ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H112 | zenon_intro zenon_H25c ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.41/1.57 apply (zenon_L529_); trivial.
% 1.41/1.57 apply (zenon_L1150_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.57 apply (zenon_L1155_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.41/1.57 apply (zenon_L529_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.57 apply (zenon_L812_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.41/1.57 apply (zenon_L1162_); trivial.
% 1.41/1.57 apply (zenon_L91_); trivial.
% 1.41/1.57 apply (zenon_L65_); trivial.
% 1.41/1.57 apply (zenon_L831_); trivial.
% 1.41/1.57 apply (zenon_L1168_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.57 apply (zenon_L812_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.41/1.57 apply (zenon_L1169_); trivial.
% 1.41/1.57 apply (zenon_L91_); trivial.
% 1.41/1.57 apply (zenon_L1171_); trivial.
% 1.41/1.57 apply (zenon_L553_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.41/1.57 apply (zenon_L529_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.57 apply (zenon_L812_); trivial.
% 1.41/1.57 apply (zenon_L1174_); trivial.
% 1.41/1.57 apply (zenon_L1179_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.41/1.57 apply (zenon_L529_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.57 apply (zenon_L1180_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.57 apply (zenon_L812_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.57 apply (zenon_L1177_); trivial.
% 1.41/1.57 apply (zenon_L150_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.57 apply (zenon_L1155_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.41/1.57 apply (zenon_L529_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.57 apply (zenon_L1183_); trivial.
% 1.41/1.57 apply (zenon_L1186_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1d8. zenon_intro zenon_H25e.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.41/1.57 apply (zenon_L532_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.41/1.57 apply (zenon_L529_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.57 apply (zenon_L1187_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.57 apply (zenon_L812_); trivial.
% 1.41/1.57 apply (zenon_L1188_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.57 apply (zenon_L1190_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.41/1.57 apply (zenon_L532_); trivial.
% 1.41/1.57 apply (zenon_L1193_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.41/1.57 apply (zenon_L532_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.41/1.57 apply (zenon_L529_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.57 apply (zenon_L812_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.57 apply (zenon_L1173_); trivial.
% 1.41/1.57 apply (zenon_L1194_); trivial.
% 1.41/1.57 apply (zenon_L1179_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.41/1.57 apply (zenon_L532_); trivial.
% 1.41/1.57 apply (zenon_L1195_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.57 apply (zenon_L1190_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.41/1.57 apply (zenon_L532_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.41/1.57 apply (zenon_L529_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.57 apply (zenon_L812_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.57 apply (zenon_L1181_); trivial.
% 1.41/1.57 apply (zenon_L197_); trivial.
% 1.41/1.57 apply (zenon_L1196_); trivial.
% 1.41/1.57 apply (zenon_L1192_); trivial.
% 1.41/1.57 apply (zenon_L550_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H12. zenon_intro zenon_H27d.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H27d). zenon_intro zenon_H226. zenon_intro zenon_H27e.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H27e). zenon_intro zenon_H227. zenon_intro zenon_H225.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H114 | zenon_intro zenon_H25b ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H112 | zenon_intro zenon_H25c ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.41/1.57 apply (zenon_L529_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.41/1.57 apply (zenon_L1198_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.57 apply (zenon_L1199_); trivial.
% 1.41/1.57 apply (zenon_L878_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.41/1.57 apply (zenon_L555_); trivial.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.41/1.57 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.41/1.57 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.57 apply (zenon_L1200_); trivial.
% 1.41/1.58 apply (zenon_L556_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.41/1.58 apply (zenon_L529_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.58 apply (zenon_L1201_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.41/1.58 apply (zenon_L555_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.41/1.58 apply (zenon_L867_); trivial.
% 1.41/1.58 apply (zenon_L553_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.58 apply (zenon_L1155_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.41/1.58 apply (zenon_L529_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.58 apply (zenon_L1202_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.41/1.58 apply (zenon_L350_); trivial.
% 1.41/1.58 apply (zenon_L553_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.41/1.58 apply (zenon_L1204_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.58 apply (zenon_L1155_); trivial.
% 1.41/1.58 apply (zenon_L1203_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25d.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1d8. zenon_intro zenon_H25e.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.41/1.58 apply (zenon_L532_); trivial.
% 1.41/1.58 apply (zenon_L1209_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.58 apply (zenon_L1190_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.41/1.58 apply (zenon_L532_); trivial.
% 1.41/1.58 apply (zenon_L1211_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.41/1.58 apply (zenon_L1204_); trivial.
% 1.41/1.58 apply (zenon_L1212_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H12. zenon_intro zenon_H25f.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H1fb. zenon_intro zenon_H260.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H1fc. zenon_intro zenon_H1fa.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.41/1.58 apply (zenon_L1215_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.41/1.58 apply (zenon_L529_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.58 apply (zenon_L877_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.41/1.58 apply (zenon_L324_); trivial.
% 1.41/1.58 apply (zenon_L1216_); trivial.
% 1.41/1.58 apply (zenon_L1203_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.58 apply (zenon_L1220_); trivial.
% 1.41/1.58 apply (zenon_L1203_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H12. zenon_intro zenon_H2c2.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2c2). zenon_intro zenon_H262. zenon_intro zenon_H2c3.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H263. zenon_intro zenon_H261.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H314); [ zenon_intro zenon_H2f7 | zenon_intro zenon_H316 ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H1 | zenon_intro zenon_H27c ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H114 | zenon_intro zenon_H25b ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H112 | zenon_intro zenon_H25c ].
% 1.41/1.58 apply (zenon_L419_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25d.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1d8. zenon_intro zenon_H25e.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.41/1.58 apply (zenon_L532_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.58 apply (zenon_L1226_); trivial.
% 1.41/1.58 apply (zenon_L609_); trivial.
% 1.41/1.58 apply (zenon_L1232_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H12. zenon_intro zenon_H25f.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H1fb. zenon_intro zenon_H260.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H1fc. zenon_intro zenon_H1fa.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.58 apply (zenon_L909_); trivial.
% 1.41/1.58 apply (zenon_L1236_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.58 apply (zenon_L932_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.58 apply (zenon_L923_); trivial.
% 1.41/1.58 apply (zenon_L630_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.58 apply (zenon_L934_); trivial.
% 1.41/1.58 apply (zenon_L1238_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.58 apply (zenon_L936_); trivial.
% 1.41/1.58 apply (zenon_L1240_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.58 apply (zenon_L934_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.58 apply (zenon_L1237_); trivial.
% 1.41/1.58 apply (zenon_L1241_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.58 apply (zenon_L936_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.58 apply (zenon_L935_); trivial.
% 1.41/1.58 apply (zenon_L1243_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H12. zenon_intro zenon_H27d.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H27d). zenon_intro zenon_H226. zenon_intro zenon_H27e.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H27e). zenon_intro zenon_H227. zenon_intro zenon_H225.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H114 | zenon_intro zenon_H25b ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H112 | zenon_intro zenon_H25c ].
% 1.41/1.58 apply (zenon_L419_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25d.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1d8. zenon_intro zenon_H25e.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.41/1.58 apply (zenon_L532_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.58 apply (zenon_L1245_); trivial.
% 1.41/1.58 apply (zenon_L609_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.41/1.58 apply (zenon_L532_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.58 apply (zenon_L604_); trivial.
% 1.41/1.58 apply (zenon_L1250_); trivial.
% 1.41/1.58 apply (zenon_L1232_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H12. zenon_intro zenon_H25f.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H1fb. zenon_intro zenon_H260.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H1fc. zenon_intro zenon_H1fa.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.58 apply (zenon_L946_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.58 apply (zenon_L1253_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.58 apply (zenon_L1254_); trivial.
% 1.41/1.58 apply (zenon_L816_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.58 apply (zenon_L947_); trivial.
% 1.41/1.58 apply (zenon_L860_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.58 apply (zenon_L1255_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.58 apply (zenon_L1254_); trivial.
% 1.41/1.58 apply (zenon_L150_); trivial.
% 1.41/1.58 apply (zenon_L952_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H12. zenon_intro zenon_H317.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H2ff. zenon_intro zenon_H318.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_H300. zenon_intro zenon_H2fe.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H1 | zenon_intro zenon_H27c ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H114 | zenon_intro zenon_H25b ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H112 | zenon_intro zenon_H25c ].
% 1.41/1.58 apply (zenon_L419_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25d.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1d8. zenon_intro zenon_H25e.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.41/1.58 apply (zenon_L532_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.41/1.58 apply (zenon_L1005_); trivial.
% 1.41/1.58 apply (zenon_L1261_); trivial.
% 1.41/1.58 apply (zenon_L1263_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.41/1.58 apply (zenon_L532_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.58 apply (zenon_L584_); trivial.
% 1.41/1.58 apply (zenon_L1265_); trivial.
% 1.41/1.58 apply (zenon_L1263_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.41/1.58 apply (zenon_L532_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.58 apply (zenon_L4_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.41/1.58 apply (zenon_L1267_); trivial.
% 1.41/1.58 apply (zenon_L1268_); trivial.
% 1.41/1.58 apply (zenon_L65_); trivial.
% 1.41/1.58 apply (zenon_L1269_); trivial.
% 1.41/1.58 apply (zenon_L954_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.58 apply (zenon_L604_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H12. zenon_intro zenon_H72.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H25. zenon_intro zenon_H73.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H26. zenon_intro zenon_H24.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hea ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7b | zenon_intro zenon_H9f ].
% 1.41/1.58 apply (zenon_L437_); trivial.
% 1.41/1.58 apply (zenon_L1268_); trivial.
% 1.41/1.58 apply (zenon_L65_); trivial.
% 1.41/1.58 apply (zenon_L1269_); trivial.
% 1.41/1.58 apply (zenon_L954_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.58 apply (zenon_L1272_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.58 apply (zenon_L622_); trivial.
% 1.41/1.58 apply (zenon_L1271_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.41/1.58 apply (zenon_L532_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.58 apply (zenon_L1274_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.58 apply (zenon_L1231_); trivial.
% 1.41/1.58 apply (zenon_L1273_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H12. zenon_intro zenon_H25f.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H1fb. zenon_intro zenon_H260.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H1fc. zenon_intro zenon_H1fa.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.58 apply (zenon_L979_); trivial.
% 1.41/1.58 apply (zenon_L1277_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.58 apply (zenon_L991_); trivial.
% 1.41/1.58 apply (zenon_L1279_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.58 apply (zenon_L979_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.58 apply (zenon_L975_); trivial.
% 1.41/1.58 apply (zenon_L1280_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.58 apply (zenon_L991_); trivial.
% 1.41/1.58 apply (zenon_L1282_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.58 apply (zenon_L997_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.58 apply (zenon_L995_); trivial.
% 1.41/1.58 apply (zenon_L1276_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.58 apply (zenon_L1000_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.58 apply (zenon_L998_); trivial.
% 1.41/1.58 apply (zenon_L1278_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.58 apply (zenon_L997_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.58 apply (zenon_L995_); trivial.
% 1.41/1.58 apply (zenon_L1280_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfe ].
% 1.41/1.58 apply (zenon_L1000_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H12. zenon_intro zenon_Hff.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Hf3. zenon_intro zenon_H100.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.58 apply (zenon_L998_); trivial.
% 1.41/1.58 apply (zenon_L1281_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H12. zenon_intro zenon_H27d.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H27d). zenon_intro zenon_H226. zenon_intro zenon_H27e.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H27e). zenon_intro zenon_H227. zenon_intro zenon_H225.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H114 | zenon_intro zenon_H25b ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H112 | zenon_intro zenon_H25c ].
% 1.41/1.58 apply (zenon_L419_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25d.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1d8. zenon_intro zenon_H25e.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.41/1.58 apply (zenon_L532_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.41/1.58 apply (zenon_L1005_); trivial.
% 1.41/1.58 apply (zenon_L1290_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.58 apply (zenon_L1294_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.41/1.58 apply (zenon_L532_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.58 apply (zenon_L1210_); trivial.
% 1.41/1.58 apply (zenon_L1023_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.41/1.58 apply (zenon_L532_); trivial.
% 1.41/1.58 apply (zenon_L1300_); trivial.
% 1.41/1.58 apply (zenon_L1306_); trivial.
% 1.41/1.58 apply (zenon_L1028_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H12. zenon_intro zenon_H2c4.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2c4). zenon_intro zenon_H280. zenon_intro zenon_H2c5.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_H281. zenon_intro zenon_H282.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H5f | zenon_intro zenon_H2c1 ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H1 | zenon_intro zenon_H27c ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H114 | zenon_intro zenon_H25b ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H112 | zenon_intro zenon_H25c ].
% 1.41/1.58 apply (zenon_L1033_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25d.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1d8. zenon_intro zenon_H25e.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.58 apply (zenon_L812_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.41/1.58 apply (zenon_L664_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1b2 ].
% 1.41/1.58 apply (zenon_L652_); trivial.
% 1.41/1.58 apply (zenon_L546_); trivial.
% 1.41/1.58 apply (zenon_L650_); trivial.
% 1.41/1.58 apply (zenon_L811_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.58 apply (zenon_L1190_); trivial.
% 1.41/1.58 apply (zenon_L1310_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.41/1.58 apply (zenon_L532_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.58 apply (zenon_L812_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.58 apply (zenon_L1314_); trivial.
% 1.41/1.58 apply (zenon_L1315_); trivial.
% 1.41/1.58 apply (zenon_L1194_); trivial.
% 1.41/1.58 apply (zenon_L1317_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.58 apply (zenon_L1190_); trivial.
% 1.41/1.58 apply (zenon_L1317_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H12. zenon_intro zenon_H25f.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H1fb. zenon_intro zenon_H260.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H1fc. zenon_intro zenon_H1fa.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H112 | zenon_intro zenon_H25c ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.41/1.58 apply (zenon_L1318_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.58 apply (zenon_L1321_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.41/1.58 apply (zenon_L1324_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.58 apply (zenon_L812_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.58 apply (zenon_L680_); trivial.
% 1.41/1.58 apply (zenon_L411_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25d.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1d8. zenon_intro zenon_H25e.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.58 apply (zenon_L812_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1b2 ].
% 1.41/1.58 apply (zenon_L652_); trivial.
% 1.41/1.58 apply (zenon_L730_); trivial.
% 1.41/1.58 apply (zenon_L650_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.41/1.58 apply (zenon_L532_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.41/1.58 apply (zenon_L534_); trivial.
% 1.41/1.58 apply (zenon_L1326_); trivial.
% 1.41/1.58 apply (zenon_L1309_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.58 apply (zenon_L1327_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.41/1.58 apply (zenon_L532_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.41/1.58 apply (zenon_L1329_); trivial.
% 1.41/1.58 apply (zenon_L1333_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.41/1.58 apply (zenon_L532_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.58 apply (zenon_L1040_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.41/1.58 apply (zenon_L534_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ].
% 1.41/1.58 apply (zenon_L1334_); trivial.
% 1.41/1.58 apply (zenon_L1312_); trivial.
% 1.41/1.58 apply (zenon_L811_); trivial.
% 1.41/1.58 apply (zenon_L823_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.41/1.58 apply (zenon_L1336_); trivial.
% 1.41/1.58 apply (zenon_L1338_); trivial.
% 1.41/1.58 apply (zenon_L126_); trivial.
% 1.41/1.58 apply (zenon_L1339_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.58 apply (zenon_L1345_); trivial.
% 1.41/1.58 apply (zenon_L1339_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H12. zenon_intro zenon_H27d.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H27d). zenon_intro zenon_H226. zenon_intro zenon_H27e.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H27e). zenon_intro zenon_H227. zenon_intro zenon_H225.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H114 | zenon_intro zenon_H25b ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H112 | zenon_intro zenon_H25c ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.41/1.58 apply (zenon_L1349_); trivial.
% 1.41/1.58 apply (zenon_L1351_); trivial.
% 1.41/1.58 apply (zenon_L1353_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25d.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1d8. zenon_intro zenon_H25e.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.41/1.58 apply (zenon_L1349_); trivial.
% 1.41/1.58 apply (zenon_L1354_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.41/1.58 apply (zenon_L532_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.58 apply (zenon_L877_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H12. zenon_intro zenon_Hb7.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H68. zenon_intro zenon_Hb8.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H66. zenon_intro zenon_H67.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H3 | zenon_intro zenon_H71 ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H77 | zenon_intro zenon_Had ].
% 1.41/1.58 apply (zenon_L534_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Haf.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha6. zenon_intro zenon_Hb0.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha4. zenon_intro zenon_Ha5.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H150 | zenon_intro zenon_H173 ].
% 1.41/1.58 apply (zenon_L257_); trivial.
% 1.41/1.58 apply (zenon_L1311_); trivial.
% 1.41/1.58 apply (zenon_L811_); trivial.
% 1.41/1.58 apply (zenon_L842_); trivial.
% 1.41/1.58 apply (zenon_L1355_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.58 apply (zenon_L1340_); trivial.
% 1.41/1.58 apply (zenon_L842_); trivial.
% 1.41/1.58 apply (zenon_L1358_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H12. zenon_intro zenon_H25f.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H1fb. zenon_intro zenon_H260.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H1fc. zenon_intro zenon_H1fa.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H112 | zenon_intro zenon_H25c ].
% 1.41/1.58 apply (zenon_L1359_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25d.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1d8. zenon_intro zenon_H25e.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.41/1.58 apply (zenon_L325_); trivial.
% 1.41/1.58 apply (zenon_L753_); trivial.
% 1.41/1.58 apply (zenon_L1350_); trivial.
% 1.41/1.58 apply (zenon_L1354_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.41/1.58 apply (zenon_L532_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H61 | zenon_intro zenon_H19a ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.58 apply (zenon_L1360_); trivial.
% 1.41/1.58 apply (zenon_L823_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H193. zenon_intro zenon_H19c.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.58 apply (zenon_L1360_); trivial.
% 1.41/1.58 apply (zenon_L126_); trivial.
% 1.41/1.58 apply (zenon_L1355_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.58 apply (zenon_L1345_); trivial.
% 1.41/1.58 apply (zenon_L1358_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H12. zenon_intro zenon_H2c2.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2c2). zenon_intro zenon_H262. zenon_intro zenon_H2c3.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H263. zenon_intro zenon_H261.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H314); [ zenon_intro zenon_H2f7 | zenon_intro zenon_H316 ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H114 | zenon_intro zenon_H25b ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H112 | zenon_intro zenon_H25c ].
% 1.41/1.58 apply (zenon_L419_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25d.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1d8. zenon_intro zenon_H25e.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.41/1.58 apply (zenon_L1361_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.41/1.58 apply (zenon_L532_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.58 apply (zenon_L1362_); trivial.
% 1.41/1.58 apply (zenon_L1229_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H12. zenon_intro zenon_H25f.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H1fb. zenon_intro zenon_H260.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H1fc. zenon_intro zenon_H1fa.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H112 | zenon_intro zenon_H25c ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.41/1.58 apply (zenon_L798_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.58 apply (zenon_L1085_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.58 apply (zenon_L1363_); trivial.
% 1.41/1.58 apply (zenon_L1090_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25d.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1d8. zenon_intro zenon_H25e.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.41/1.58 apply (zenon_L1361_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.41/1.58 apply (zenon_L532_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.58 apply (zenon_L1362_); trivial.
% 1.41/1.58 apply (zenon_L1365_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.41/1.58 apply (zenon_L532_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.58 apply (zenon_L1362_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H12. zenon_intro zenon_H18e.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H182. zenon_intro zenon_H18f.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb2 ].
% 1.41/1.58 apply (zenon_L224_); trivial.
% 1.41/1.58 apply (zenon_L1364_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H12. zenon_intro zenon_H317.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H2ff. zenon_intro zenon_H318.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_H300. zenon_intro zenon_H2fe.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H114 | zenon_intro zenon_H25b ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H112 | zenon_intro zenon_H25c ].
% 1.41/1.58 apply (zenon_L419_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25d.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1d8. zenon_intro zenon_H25e.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.41/1.58 apply (zenon_L1366_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.41/1.58 apply (zenon_L532_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.58 apply (zenon_L1367_); trivial.
% 1.41/1.58 apply (zenon_L1273_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H12. zenon_intro zenon_H25f.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H1fb. zenon_intro zenon_H260.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H1fc. zenon_intro zenon_H1fa.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H112 | zenon_intro zenon_H25c ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.41/1.58 apply (zenon_L798_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11b | zenon_intro zenon_H12b ].
% 1.41/1.58 apply (zenon_L1120_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H12. zenon_intro zenon_H12c.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H121. zenon_intro zenon_H12d.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H122. zenon_intro zenon_H120.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H146 | zenon_intro zenon_H18d ].
% 1.41/1.58 apply (zenon_L1363_); trivial.
% 1.41/1.58 apply (zenon_L1123_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25d.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1d8. zenon_intro zenon_H25e.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.41/1.58 apply (zenon_L1366_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2af ].
% 1.41/1.58 apply (zenon_L532_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H12. zenon_intro zenon_H2b0.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2a5. zenon_intro zenon_H2b1.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a6. zenon_intro zenon_H2a7.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb6 ].
% 1.41/1.58 apply (zenon_L1368_); trivial.
% 1.41/1.58 apply (zenon_L1374_); trivial.
% 1.41/1.58 (* end of lemma zenon_L1375_ *)
% 1.41/1.58 apply NNPP. intro zenon_G.
% 1.41/1.58 apply zenon_G. zenon_intro zenon_H31b.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H31b). zenon_intro zenon_H31d. zenon_intro zenon_H31c.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H31c). zenon_intro zenon_H31f. zenon_intro zenon_H31e.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H31e). zenon_intro zenon_H313. zenon_intro zenon_H320.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H320). zenon_intro zenon_H2be. zenon_intro zenon_H321.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H321). zenon_intro zenon_H2bf. zenon_intro zenon_H322.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H322). zenon_intro zenon_H314. zenon_intro zenon_H323.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H323). zenon_intro zenon_H27b. zenon_intro zenon_H324.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H324). zenon_intro zenon_H259. zenon_intro zenon_H325.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_H25a. zenon_intro zenon_H326.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H1f5. zenon_intro zenon_H327.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H1d4. zenon_intro zenon_H328.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H328). zenon_intro zenon_H12e. zenon_intro zenon_H329.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H329). zenon_intro zenon_H2ae. zenon_intro zenon_H32a.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H32a). zenon_intro zenon_H1d5. zenon_intro zenon_H32b.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H32b). zenon_intro zenon_H101. zenon_intro zenon_H32c.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H32c). zenon_intro zenon_H1b9. zenon_intro zenon_H32d.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_Hb9. zenon_intro zenon_H32e.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H32e). zenon_intro zenon_H190. zenon_intro zenon_H32f.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_Hba. zenon_intro zenon_H330.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H330). zenon_intro zenon_H74. zenon_intro zenon_H331.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_Hb3. zenon_intro zenon_H332.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_H54. zenon_intro zenon_H333.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H2f4. zenon_intro zenon_H334.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_Hef. zenon_intro zenon_H335.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H335). zenon_intro zenon_Ha2. zenon_intro zenon_H336.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H336). zenon_intro zenon_H92. zenon_intro zenon_H337.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_H1b7. zenon_intro zenon_H338.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_Hdd. zenon_intro zenon_H339.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H51. zenon_intro zenon_H33a.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H177. zenon_intro zenon_H33b.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H3e. zenon_intro zenon_H33c.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H174. zenon_intro zenon_H33d.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H33d). zenon_intro zenon_H33f. zenon_intro zenon_H33e.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H33e). zenon_intro zenon_Hfc. zenon_intro zenon_H340.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H340). zenon_intro zenon_H2b4. zenon_intro zenon_H341.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H341). zenon_intro zenon_H1e7. zenon_intro zenon_H342.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H342). zenon_intro zenon_H1f3. zenon_intro zenon_H343.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H343). zenon_intro zenon_Hae. zenon_intro zenon_H344.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H344). zenon_intro zenon_H1e5. zenon_intro zenon_H345.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H345). zenon_intro zenon_H1ea. zenon_intro zenon_H346.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H346). zenon_intro zenon_H348. zenon_intro zenon_H347.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H347). zenon_intro zenon_H34a. zenon_intro zenon_H349.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H349). zenon_intro zenon_H34c. zenon_intro zenon_H34b.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H34b). zenon_intro zenon_H34e. zenon_intro zenon_H34d.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H34d). zenon_intro zenon_H2ba. zenon_intro zenon_H34f.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H34f). zenon_intro zenon_H289. zenon_intro zenon_H350.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H350). zenon_intro zenon_H293. zenon_intro zenon_H351.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H351). zenon_intro zenon_Hd9. zenon_intro zenon_H352.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H352). zenon_intro zenon_Hc5. zenon_intro zenon_H353.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H353). zenon_intro zenon_H11d. zenon_intro zenon_H354.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H354). zenon_intro zenon_H1b3. zenon_intro zenon_H355.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H355). zenon_intro zenon_H357. zenon_intro zenon_H356.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_H2a3. zenon_intro zenon_H358.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_H29f. zenon_intro zenon_H359.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_H2d8. zenon_intro zenon_H35a.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H2da. zenon_intro zenon_H35b.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H8e. zenon_intro zenon_H35c.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H189. zenon_intro zenon_H35d.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_H63. zenon_intro zenon_H35e.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_H144. zenon_intro zenon_H35f.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H35f). zenon_intro zenon_H148. zenon_intro zenon_H360.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H360). zenon_intro zenon_H362. zenon_intro zenon_H361.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H361). zenon_intro zenon_H216. zenon_intro zenon_H363.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H218. zenon_intro zenon_H364.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H307. zenon_intro zenon_H365.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H254. zenon_intro zenon_H366.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H366). zenon_intro zenon_H1c7. zenon_intro zenon_H367.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H367). zenon_intro zenon_H223. zenon_intro zenon_H368.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H368). zenon_intro zenon_H12f. zenon_intro zenon_H369.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H369). zenon_intro zenon_H2f5. zenon_intro zenon_H36a.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H36c. zenon_intro zenon_H36b.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H18b. zenon_intro zenon_H36d.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H36d). zenon_intro zenon_H230. zenon_intro zenon_H36e.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H36e). zenon_intro zenon_H1bc. zenon_intro zenon_H36f.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H36f). zenon_intro zenon_H142. zenon_intro zenon_H370.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H370). zenon_intro zenon_H2de. zenon_intro zenon_H371.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H373. zenon_intro zenon_H372.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_Heb. zenon_intro zenon_H374.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H9d. zenon_intro zenon_H375.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H375). zenon_intro zenon_H377. zenon_intro zenon_H376.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H379. zenon_intro zenon_H378.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H378). zenon_intro zenon_H129. zenon_intro zenon_H37a.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H3a. zenon_intro zenon_H37b.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H2f9. zenon_intro zenon_H37c.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_H27a. zenon_intro zenon_H37d.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H116. zenon_intro zenon_H37e.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H241. zenon_intro zenon_H37f.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H37f). zenon_intro zenon_H157. zenon_intro zenon_H380.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1e9. zenon_intro zenon_H381.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H6f. zenon_intro zenon_H382.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H21. zenon_intro zenon_H383.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H7f. zenon_intro zenon_H384.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H384). zenon_intro zenon_H203. zenon_intro zenon_H385.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H385). zenon_intro zenon_H20d. zenon_intro zenon_H386.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H386). zenon_intro zenon_H152. zenon_intro zenon_H387.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H387). zenon_intro zenon_H1e0. zenon_intro zenon_H388.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H38a. zenon_intro zenon_H389.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H389). zenon_intro zenon_H4b. zenon_intro zenon_H38b.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_Hf0. zenon_intro zenon_H38c.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H163. zenon_intro zenon_H38d.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H38d). zenon_intro zenon_H1a2. zenon_intro zenon_H38e.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_Hf. zenon_intro zenon_H38f.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H38f). zenon_intro zenon_H79. zenon_intro zenon_H390.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H390). zenon_intro zenon_H7. zenon_intro zenon_H391.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H393. zenon_intro zenon_H392.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_Hcb. zenon_intro zenon_H394.
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_Hd | zenon_intro zenon_H395 ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H75 | zenon_intro zenon_H315 ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H49 | zenon_intro zenon_H2c0 ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H5f | zenon_intro zenon_H2c1 ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H1 | zenon_intro zenon_H27c ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H114 | zenon_intro zenon_H25b ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H112 | zenon_intro zenon_H25c ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f6 ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1d1 ].
% 1.41/1.58 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8b | zenon_intro zenon_H1b8 ].
% 1.41/1.58 apply (zenon_L51_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hbe. zenon_intro zenon_H1bb.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbd.
% 1.41/1.58 apply (zenon_L74_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H12. zenon_intro zenon_H1d2.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H105. zenon_intro zenon_H1d3.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H103. zenon_intro zenon_H10d.
% 1.41/1.58 apply (zenon_L88_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H12. zenon_intro zenon_H1f7.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H133. zenon_intro zenon_H1f8.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H134. zenon_intro zenon_H132.
% 1.41/1.58 apply (zenon_L175_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H12. zenon_intro zenon_H25d.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1d8. zenon_intro zenon_H25e.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.41/1.58 apply (zenon_L215_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H12. zenon_intro zenon_H25f.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H1fb. zenon_intro zenon_H260.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H1fc. zenon_intro zenon_H1fa.
% 1.41/1.58 apply (zenon_L254_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H12. zenon_intro zenon_H27d.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H27d). zenon_intro zenon_H226. zenon_intro zenon_H27e.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H27e). zenon_intro zenon_H227. zenon_intro zenon_H225.
% 1.41/1.58 apply (zenon_L417_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H12. zenon_intro zenon_H2c2.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2c2). zenon_intro zenon_H262. zenon_intro zenon_H2c3.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H263. zenon_intro zenon_H261.
% 1.41/1.58 apply (zenon_L512_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H12. zenon_intro zenon_H2c4.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2c4). zenon_intro zenon_H280. zenon_intro zenon_H2c5.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_H281. zenon_intro zenon_H282.
% 1.41/1.58 apply (zenon_L527_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H12. zenon_intro zenon_H319.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H319). zenon_intro zenon_H298. zenon_intro zenon_H31a.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_H296. zenon_intro zenon_H297.
% 1.41/1.58 apply (zenon_L808_); trivial.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H395). zenon_intro zenon_H12. zenon_intro zenon_H396.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H396). zenon_intro zenon_H2c9. zenon_intro zenon_H397.
% 1.41/1.58 apply (zenon_and_s _ _ zenon_H397). zenon_intro zenon_H2c7. zenon_intro zenon_H2c8.
% 1.41/1.58 apply (zenon_L1375_); trivial.
% 1.41/1.58 Qed.
% 1.41/1.58 % SZS output end Proof
% 1.41/1.58 (* END-PROOF *)
% 1.41/1.58 nodes searched: 46802
% 1.41/1.58 max branch formulas: 469
% 1.41/1.58 proof nodes created: 11313
% 1.41/1.58 formulas created: 41907
% 1.41/1.58
%------------------------------------------------------------------------------