TSTP Solution File: SYO580+1 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : SYO580+1 : TPTP v8.1.0. Released v5.5.0.
% Transfm  : none
% Format   : tptp
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% Computer : n025.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 17:35:43 EDT 2022

% Result   : Theorem 0.78s 1.02s
% Output   : CNFRefutation 0.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :  477
% Syntax   : Number of formulae    : 1187 ( 498 unt; 376 typ;   0 def)
%            Number of atoms       : 3712 ( 931 equ;   0 cnn)
%            Maximal formula atoms :   12 (   4 avg)
%            Number of connectives : 3743 ( 934   ~; 763   |;  68   &;1770   @)
%                                         (   6 <=>; 202  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  360 ( 360   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  379 ( 376 usr;  18 con; 0-2 aty)
%            Number of variables   :  766 (   0   ^ 738   !;  28   ?; 766   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_b48_buttercup10007,type,
    b48_buttercup10007: $i > $o ).

thf(tp_b48_buttercup10013,type,
    b48_buttercup10013: $i > $o ).

thf(tp_b48_buttercup10019,type,
    b48_buttercup10019: $i > $o ).

thf(tp_b48_buttercup10021,type,
    b48_buttercup10021: $i > $o ).

thf(tp_b48_buttercup10022,type,
    b48_buttercup10022: $i > $o ).

thf(tp_b48_buttercup10024,type,
    b48_buttercup10024: $i > $o ).

thf(tp_b48_buttercup10029,type,
    b48_buttercup10029: $i > $o ).

thf(tp_b48_buttercup10031,type,
    b48_buttercup10031: $i > $o ).

thf(tp_b48_buttercup10034,type,
    b48_buttercup10034: $i > $o ).

thf(tp_b48_buttercup10035,type,
    b48_buttercup10035: $i > $o ).

thf(tp_b48_buttercup10043,type,
    b48_buttercup10043: $i > $o ).

thf(tp_b48_buttercup10045,type,
    b48_buttercup10045: $i > $o ).

thf(tp_b48_buttercup10046,type,
    b48_buttercup10046: $i > $o ).

thf(tp_b48_buttercup10050,type,
    b48_buttercup10050: $i > $o ).

thf(tp_b48_buttercup10052,type,
    b48_buttercup10052: $i > $o ).

thf(tp_b48_buttercup10054,type,
    b48_buttercup10054: $i > $o ).

thf(tp_b48_buttercup10058,type,
    b48_buttercup10058: $i > $o ).

thf(tp_b48_buttercup10065,type,
    b48_buttercup10065: $i > $o ).

thf(tp_b48_buttercup10068,type,
    b48_buttercup10068: $i > $o ).

thf(tp_b48_buttercup10070,type,
    b48_buttercup10070: $i > $o ).

thf(tp_b48_buttercup10072,type,
    b48_buttercup10072: $i > $o ).

thf(tp_b48_buttercup10075,type,
    b48_buttercup10075: $i > $o ).

thf(tp_b48_buttercup10076,type,
    b48_buttercup10076: $i > $o ).

thf(tp_b48_buttercup10082,type,
    b48_buttercup10082: $i > $o ).

thf(tp_b48_buttercup10085,type,
    b48_buttercup10085: $i > $o ).

thf(tp_b48_buttercup10086,type,
    b48_buttercup10086: $i > $o ).

thf(tp_b48_buttercup10092,type,
    b48_buttercup10092: $i > $o ).

thf(tp_b48_buttercup10098,type,
    b48_buttercup10098: $i > $o ).

thf(tp_b48_buttercup10102,type,
    b48_buttercup10102: $i > $o ).

thf(tp_b48_buttercup10104,type,
    b48_buttercup10104: $i > $o ).

thf(tp_b48_buttercup10107,type,
    b48_buttercup10107: $i > $o ).

thf(tp_b48_buttercup10108,type,
    b48_buttercup10108: $i > $o ).

thf(tp_b48_buttercup10109,type,
    b48_buttercup10109: $i > $o ).

thf(tp_b48_buttercup10110,type,
    b48_buttercup10110: $i > $o ).

thf(tp_b48_buttercup10111,type,
    b48_buttercup10111: $i > $o ).

thf(tp_b48_buttercup10115,type,
    b48_buttercup10115: $i > $o ).

thf(tp_b48_buttercup10119,type,
    b48_buttercup10119: $i > $o ).

thf(tp_b48_buttercup10120,type,
    b48_buttercup10120: $i > $o ).

thf(tp_b48_buttercup10121,type,
    b48_buttercup10121: $i > $o ).

thf(tp_b48_buttercup10130,type,
    b48_buttercup10130: $i > $o ).

thf(tp_b48_buttercup10133,type,
    b48_buttercup10133: $i > $o ).

thf(tp_b48_buttercup10134,type,
    b48_buttercup10134: $i > $o ).

thf(tp_b48_buttercup10143,type,
    b48_buttercup10143: $i > $o ).

thf(tp_b48_buttercup10150,type,
    b48_buttercup10150: $i > $o ).

thf(tp_b48_buttercup10154,type,
    b48_buttercup10154: $i > $o ).

thf(tp_b48_buttercup10156,type,
    b48_buttercup10156: $i > $o ).

thf(tp_b48_buttercup10158,type,
    b48_buttercup10158: $i > $o ).

thf(tp_b48_buttercup10159,type,
    b48_buttercup10159: $i > $o ).

thf(tp_b48_buttercup10160,type,
    b48_buttercup10160: $i > $o ).

thf(tp_b48_buttercup10161,type,
    b48_buttercup10161: $i > $o ).

thf(tp_b48_buttercup10166,type,
    b48_buttercup10166: $i > $o ).

thf(tp_b48_buttercup10167,type,
    b48_buttercup10167: $i > $o ).

thf(tp_b48_buttercup10169,type,
    b48_buttercup10169: $i > $o ).

thf(tp_b48_buttercup10170,type,
    b48_buttercup10170: $i > $o ).

thf(tp_b48_buttercup10173,type,
    b48_buttercup10173: $i > $o ).

thf(tp_b48_buttercup10174,type,
    b48_buttercup10174: $i > $o ).

thf(tp_b48_buttercup10176,type,
    b48_buttercup10176: $i > $o ).

thf(tp_b48_buttercup10179,type,
    b48_buttercup10179: $i > $o ).

thf(tp_b48_buttercup10180,type,
    b48_buttercup10180: $i > $o ).

thf(tp_b48_buttercup10182,type,
    b48_buttercup10182: $i > $o ).

thf(tp_b48_buttercup10186,type,
    b48_buttercup10186: $i > $o ).

thf(tp_b48_buttercup10191,type,
    b48_buttercup10191: $i > $o ).

thf(tp_b48_buttercup10193,type,
    b48_buttercup10193: $i > $o ).

thf(tp_b48_buttercup10195,type,
    b48_buttercup10195: $i > $o ).

thf(tp_b48_buttercup10196,type,
    b48_buttercup10196: $i > $o ).

thf(tp_b48_buttercup10197,type,
    b48_buttercup10197: $i > $o ).

thf(tp_b48_buttercup10198,type,
    b48_buttercup10198: $i > $o ).

thf(tp_b48_buttercup10199,type,
    b48_buttercup10199: $i > $o ).

thf(tp_b48_buttercup10201,type,
    b48_buttercup10201: $i > $o ).

thf(tp_b48_buttercup10208,type,
    b48_buttercup10208: $i > $o ).

thf(tp_b48_buttercup10210,type,
    b48_buttercup10210: $i > $o ).

thf(tp_b48_buttercup10214,type,
    b48_buttercup10214: $i > $o ).

thf(tp_b48_buttercup10217,type,
    b48_buttercup10217: $i > $o ).

thf(tp_b48_buttercup10220,type,
    b48_buttercup10220: $i > $o ).

thf(tp_b48_buttercup10222,type,
    b48_buttercup10222: $i > $o ).

thf(tp_b48_buttercup10227,type,
    b48_buttercup10227: $i > $o ).

thf(tp_b48_buttercup10228,type,
    b48_buttercup10228: $i > $o ).

thf(tp_b48_buttercup10229,type,
    b48_buttercup10229: $i > $o ).

thf(tp_b48_buttercup10231,type,
    b48_buttercup10231: $i > $o ).

thf(tp_b48_buttercup10240,type,
    b48_buttercup10240: $i > $o ).

thf(tp_b48_buttercup10247,type,
    b48_buttercup10247: $i > $o ).

thf(tp_b48_buttercup10248,type,
    b48_buttercup10248: $i > $o ).

thf(tp_b48_buttercup10253,type,
    b48_buttercup10253: $i > $o ).

thf(tp_b48_buttercup10260,type,
    b48_buttercup10260: $i > $o ).

thf(tp_b48_buttercup10261,type,
    b48_buttercup10261: $i > $o ).

thf(tp_b48_buttercup10266,type,
    b48_buttercup10266: $i > $o ).

thf(tp_b48_buttercup10267,type,
    b48_buttercup10267: $i > $o ).

thf(tp_b48_buttercup10268,type,
    b48_buttercup10268: $i > $o ).

thf(tp_b48_buttercup10269,type,
    b48_buttercup10269: $i > $o ).

thf(tp_b48_buttercup10271,type,
    b48_buttercup10271: $i > $o ).

thf(tp_b48_buttercup10272,type,
    b48_buttercup10272: $i > $o ).

thf(tp_b48_buttercup10273,type,
    b48_buttercup10273: $i > $o ).

thf(tp_b48_buttercup10274,type,
    b48_buttercup10274: $i > $o ).

thf(tp_b48_buttercup10275,type,
    b48_buttercup10275: $i > $o ).

thf(tp_b48_buttercup10276,type,
    b48_buttercup10276: $i > $o ).

thf(tp_b48_buttercup10277,type,
    b48_buttercup10277: $i > $o ).

thf(tp_b48_buttercup10278,type,
    b48_buttercup10278: $i > $o ).

thf(tp_b48_buttercup10279,type,
    b48_buttercup10279: $i > $o ).

thf(tp_b48_buttercup10283,type,
    b48_buttercup10283: $i > $o ).

thf(tp_b48_buttercup10289,type,
    b48_buttercup10289: $i > $o ).

thf(tp_b48_buttercup10290,type,
    b48_buttercup10290: $i > $o ).

thf(tp_b48_buttercup10291,type,
    b48_buttercup10291: $i > $o ).

thf(tp_b48_buttercup10294,type,
    b48_buttercup10294: $i > $o ).

thf(tp_b48_buttercup10299,type,
    b48_buttercup10299: $i > $o ).

thf(tp_b48_buttercup10300,type,
    b48_buttercup10300: $i > $o ).

thf(tp_b48_buttercup10305,type,
    b48_buttercup10305: $i > $o ).

thf(tp_b48_buttercup10307,type,
    b48_buttercup10307: $i > $o ).

thf(tp_b48_buttercup10308,type,
    b48_buttercup10308: $i > $o ).

thf(tp_b48_buttercup10309,type,
    b48_buttercup10309: $i > $o ).

thf(tp_b48_buttercup10313,type,
    b48_buttercup10313: $i > $o ).

thf(tp_b48_buttercup10318,type,
    b48_buttercup10318: $i > $o ).

thf(tp_b48_buttercup10320,type,
    b48_buttercup10320: $i > $o ).

thf(tp_b48_buttercup10322,type,
    b48_buttercup10322: $i > $o ).

thf(tp_b48_buttercup10326,type,
    b48_buttercup10326: $i > $o ).

thf(tp_b48_buttercup10332,type,
    b48_buttercup10332: $i > $o ).

thf(tp_b48_buttercup10334,type,
    b48_buttercup10334: $i > $o ).

thf(tp_b48_buttercup10343,type,
    b48_buttercup10343: $i > $o ).

thf(tp_b48_buttercup10344,type,
    b48_buttercup10344: $i > $o ).

thf(tp_b48_buttercup10348,type,
    b48_buttercup10348: $i > $o ).

thf(tp_b48_buttercup10352,type,
    b48_buttercup10352: $i > $o ).

thf(tp_b48_buttercup10353,type,
    b48_buttercup10353: $i > $o ).

thf(tp_b48_buttercup10358,type,
    b48_buttercup10358: $i > $o ).

thf(tp_b48_buttercup10359,type,
    b48_buttercup10359: $i > $o ).

thf(tp_b48_buttercup10361,type,
    b48_buttercup10361: $i > $o ).

thf(tp_b48_buttercup10362,type,
    b48_buttercup10362: $i > $o ).

thf(tp_b48_buttercup10365,type,
    b48_buttercup10365: $i > $o ).

thf(tp_b48_buttercup10367,type,
    b48_buttercup10367: $i > $o ).

thf(tp_b48_buttercup10370,type,
    b48_buttercup10370: $i > $o ).

thf(tp_b48_buttercup10374,type,
    b48_buttercup10374: $i > $o ).

thf(tp_b48_buttercup10377,type,
    b48_buttercup10377: $i > $o ).

thf(tp_b48_buttercup10378,type,
    b48_buttercup10378: $i > $o ).

thf(tp_b48_buttercup10381,type,
    b48_buttercup10381: $i > $o ).

thf(tp_b48_buttercup10383,type,
    b48_buttercup10383: $i > $o ).

thf(tp_b48_buttercup10386,type,
    b48_buttercup10386: $i > $o ).

thf(tp_b48_buttercup10394,type,
    b48_buttercup10394: $i > $o ).

thf(tp_b48_buttercup10398,type,
    b48_buttercup10398: $i > $o ).

thf(tp_b48_buttercup10402,type,
    b48_buttercup10402: $i > $o ).

thf(tp_b48_buttercup10405,type,
    b48_buttercup10405: $i > $o ).

thf(tp_b48_buttercup10410,type,
    b48_buttercup10410: $i > $o ).

thf(tp_b48_buttercup10411,type,
    b48_buttercup10411: $i > $o ).

thf(tp_b48_buttercup10417,type,
    b48_buttercup10417: $i > $o ).

thf(tp_b48_buttercup10420,type,
    b48_buttercup10420: $i > $o ).

thf(tp_b48_buttercup10421,type,
    b48_buttercup10421: $i > $o ).

thf(tp_b48_buttercup10422,type,
    b48_buttercup10422: $i > $o ).

thf(tp_b48_buttercup10427,type,
    b48_buttercup10427: $i > $o ).

thf(tp_b48_buttercup10433,type,
    b48_buttercup10433: $i > $o ).

thf(tp_b48_buttercup10434,type,
    b48_buttercup10434: $i > $o ).

thf(tp_b48_buttercup10440,type,
    b48_buttercup10440: $i > $o ).

thf(tp_b48_buttercup10441,type,
    b48_buttercup10441: $i > $o ).

thf(tp_b48_buttercup10442,type,
    b48_buttercup10442: $i > $o ).

thf(tp_b48_buttercup10443,type,
    b48_buttercup10443: $i > $o ).

thf(tp_b48_buttercup10446,type,
    b48_buttercup10446: $i > $o ).

thf(tp_b48_buttercup10450,type,
    b48_buttercup10450: $i > $o ).

thf(tp_b48_buttercup10451,type,
    b48_buttercup10451: $i > $o ).

thf(tp_b48_buttercup10454,type,
    b48_buttercup10454: $i > $o ).

thf(tp_b48_buttercup10456,type,
    b48_buttercup10456: $i > $o ).

thf(tp_b48_buttercup10458,type,
    b48_buttercup10458: $i > $o ).

thf(tp_b48_buttercup10460,type,
    b48_buttercup10460: $i > $o ).

thf(tp_b48_buttercup10465,type,
    b48_buttercup10465: $i > $o ).

thf(tp_b48_buttercup10466,type,
    b48_buttercup10466: $i > $o ).

thf(tp_b48_buttercup10467,type,
    b48_buttercup10467: $i > $o ).

thf(tp_b48_buttercup10469,type,
    b48_buttercup10469: $i > $o ).

thf(tp_b48_buttercup10471,type,
    b48_buttercup10471: $i > $o ).

thf(tp_b48_buttercup10474,type,
    b48_buttercup10474: $i > $o ).

thf(tp_b48_buttercup10478,type,
    b48_buttercup10478: $i > $o ).

thf(tp_b48_buttercup10479,type,
    b48_buttercup10479: $i > $o ).

thf(tp_b48_buttercup10483,type,
    b48_buttercup10483: $i > $o ).

thf(tp_b48_buttercup10487,type,
    b48_buttercup10487: $i > $o ).

thf(tp_b48_buttercup10489,type,
    b48_buttercup10489: $i > $o ).

thf(tp_b48_buttercup10490,type,
    b48_buttercup10490: $i > $o ).

thf(tp_b48_buttercup10493,type,
    b48_buttercup10493: $i > $o ).

thf(tp_b48_buttercup10496,type,
    b48_buttercup10496: $i > $o ).

thf(tp_b48_buttercup10502,type,
    b48_buttercup10502: $i > $o ).

thf(tp_b48_buttercup10507,type,
    b48_buttercup10507: $i > $o ).

thf(tp_b48_buttercup10512,type,
    b48_buttercup10512: $i > $o ).

thf(tp_b48_buttercup10513,type,
    b48_buttercup10513: $i > $o ).

thf(tp_b48_buttercup10514,type,
    b48_buttercup10514: $i > $o ).

thf(tp_b48_buttercup10515,type,
    b48_buttercup10515: $i > $o ).

thf(tp_b48_buttercup10518,type,
    b48_buttercup10518: $i > $o ).

thf(tp_b48_buttercup10519,type,
    b48_buttercup10519: $i > $o ).

thf(tp_b48_buttercup10520,type,
    b48_buttercup10520: $i > $o ).

thf(tp_b48_buttercup10521,type,
    b48_buttercup10521: $i > $o ).

thf(tp_b48_buttercup10522,type,
    b48_buttercup10522: $i > $o ).

thf(tp_b48_buttercup10526,type,
    b48_buttercup10526: $i > $o ).

thf(tp_b48_buttercup10530,type,
    b48_buttercup10530: $i > $o ).

thf(tp_b48_buttercup10531,type,
    b48_buttercup10531: $i > $o ).

thf(tp_b48_buttercup10538,type,
    b48_buttercup10538: $i > $o ).

thf(tp_b48_buttercup10541,type,
    b48_buttercup10541: $i > $o ).

thf(tp_b48_buttercup10542,type,
    b48_buttercup10542: $i > $o ).

thf(tp_b48_buttercup10545,type,
    b48_buttercup10545: $i > $o ).

thf(tp_b48_buttercup10548,type,
    b48_buttercup10548: $i > $o ).

thf(tp_b48_buttercup10549,type,
    b48_buttercup10549: $i > $o ).

thf(tp_b48_buttercup10552,type,
    b48_buttercup10552: $i > $o ).

thf(tp_b48_buttercup10561,type,
    b48_buttercup10561: $i > $o ).

thf(tp_b48_buttercup10562,type,
    b48_buttercup10562: $i > $o ).

thf(tp_b48_buttercup10563,type,
    b48_buttercup10563: $i > $o ).

thf(tp_b48_buttercup10570,type,
    b48_buttercup10570: $i > $o ).

thf(tp_b48_buttercup10572,type,
    b48_buttercup10572: $i > $o ).

thf(tp_b48_buttercup10574,type,
    b48_buttercup10574: $i > $o ).

thf(tp_b48_buttercup10575,type,
    b48_buttercup10575: $i > $o ).

thf(tp_b48_buttercup10579,type,
    b48_buttercup10579: $i > $o ).

thf(tp_b48_buttercup10582,type,
    b48_buttercup10582: $i > $o ).

thf(tp_b48_buttercup10589,type,
    b48_buttercup10589: $i > $o ).

thf(tp_b48_buttercup10596,type,
    b48_buttercup10596: $i > $o ).

thf(tp_b48_buttercup10604,type,
    b48_buttercup10604: $i > $o ).

thf(tp_b48_buttercup10605,type,
    b48_buttercup10605: $i > $o ).

thf(tp_b48_buttercup10606,type,
    b48_buttercup10606: $i > $o ).

thf(tp_b48_buttercup10609,type,
    b48_buttercup10609: $i > $o ).

thf(tp_b48_buttercup10612,type,
    b48_buttercup10612: $i > $o ).

thf(tp_b48_buttercup10616,type,
    b48_buttercup10616: $i > $o ).

thf(tp_b48_buttercup10624,type,
    b48_buttercup10624: $i > $o ).

thf(tp_b48_buttercup10629,type,
    b48_buttercup10629: $i > $o ).

thf(tp_b48_buttercup10632,type,
    b48_buttercup10632: $i > $o ).

thf(tp_b48_buttercup10636,type,
    b48_buttercup10636: $i > $o ).

thf(tp_b48_buttercup10638,type,
    b48_buttercup10638: $i > $o ).

thf(tp_b48_buttercup10640,type,
    b48_buttercup10640: $i > $o ).

thf(tp_b48_buttercup10642,type,
    b48_buttercup10642: $i > $o ).

thf(tp_b48_buttercup10646,type,
    b48_buttercup10646: $i > $o ).

thf(tp_k04_buttercup10000,type,
    k04_buttercup10000: $i > $o ).

thf(tp_k04_buttercup10004,type,
    k04_buttercup10004: $i > $o ).

thf(tp_k04_buttercup10012,type,
    k04_buttercup10012: $i > $o ).

thf(tp_k04_buttercup10016,type,
    k04_buttercup10016: $i > $o ).

thf(tp_k04_buttercup10026,type,
    k04_buttercup10026: $i > $o ).

thf(tp_k04_buttercup10028,type,
    k04_buttercup10028: $i > $o ).

thf(tp_k04_buttercup10033,type,
    k04_buttercup10033: $i > $o ).

thf(tp_k04_buttercup10039,type,
    k04_buttercup10039: $i > $o ).

thf(tp_k04_buttercup10042,type,
    k04_buttercup10042: $i > $o ).

thf(tp_k04_buttercup10044,type,
    k04_buttercup10044: $i > $o ).

thf(tp_k04_buttercup10048,type,
    k04_buttercup10048: $i > $o ).

thf(tp_k04_buttercup10049,type,
    k04_buttercup10049: $i > $o ).

thf(tp_k04_buttercup10051,type,
    k04_buttercup10051: $i > $o ).

thf(tp_k04_buttercup10053,type,
    k04_buttercup10053: $i > $o ).

thf(tp_k04_buttercup10057,type,
    k04_buttercup10057: $i > $o ).

thf(tp_k04_buttercup10061,type,
    k04_buttercup10061: $i > $o ).

thf(tp_k04_buttercup10064,type,
    k04_buttercup10064: $i > $o ).

thf(tp_k04_buttercup10067,type,
    k04_buttercup10067: $i > $o ).

thf(tp_k04_buttercup10074,type,
    k04_buttercup10074: $i > $o ).

thf(tp_k04_buttercup10079,type,
    k04_buttercup10079: $i > $o ).

thf(tp_k04_buttercup10084,type,
    k04_buttercup10084: $i > $o ).

thf(tp_k04_buttercup10089,type,
    k04_buttercup10089: $i > $o ).

thf(tp_k04_buttercup10095,type,
    k04_buttercup10095: $i > $o ).

thf(tp_k04_buttercup10096,type,
    k04_buttercup10096: $i > $o ).

thf(tp_k04_buttercup10097,type,
    k04_buttercup10097: $i > $o ).

thf(tp_k04_buttercup10100,type,
    k04_buttercup10100: $i > $o ).

thf(tp_k04_buttercup10117,type,
    k04_buttercup10117: $i > $o ).

thf(tp_k04_buttercup10125,type,
    k04_buttercup10125: $i > $o ).

thf(tp_k04_buttercup10132,type,
    k04_buttercup10132: $i > $o ).

thf(tp_k04_buttercup10135,type,
    k04_buttercup10135: $i > $o ).

thf(tp_k04_buttercup10139,type,
    k04_buttercup10139: $i > $o ).

thf(tp_k04_buttercup10142,type,
    k04_buttercup10142: $i > $o ).

thf(tp_k04_buttercup10147,type,
    k04_buttercup10147: $i > $o ).

thf(tp_k04_buttercup10153,type,
    k04_buttercup10153: $i > $o ).

thf(tp_k04_buttercup10164,type,
    k04_buttercup10164: $i > $o ).

thf(tp_k04_buttercup10172,type,
    k04_buttercup10172: $i > $o ).

thf(tp_k04_buttercup10181,type,
    k04_buttercup10181: $i > $o ).

thf(tp_k04_buttercup10184,type,
    k04_buttercup10184: $i > $o ).

thf(tp_k04_buttercup10190,type,
    k04_buttercup10190: $i > $o ).

thf(tp_k04_buttercup10200,type,
    k04_buttercup10200: $i > $o ).

thf(tp_k04_buttercup10204,type,
    k04_buttercup10204: $i > $o ).

thf(tp_k04_buttercup10206,type,
    k04_buttercup10206: $i > $o ).

thf(tp_k04_buttercup10213,type,
    k04_buttercup10213: $i > $o ).

thf(tp_k04_buttercup10219,type,
    k04_buttercup10219: $i > $o ).

thf(tp_k04_buttercup10221,type,
    k04_buttercup10221: $i > $o ).

thf(tp_k04_buttercup10225,type,
    k04_buttercup10225: $i > $o ).

thf(tp_k04_buttercup10234,type,
    k04_buttercup10234: $i > $o ).

thf(tp_k04_buttercup10236,type,
    k04_buttercup10236: $i > $o ).

thf(tp_k04_buttercup10238,type,
    k04_buttercup10238: $i > $o ).

thf(tp_k04_buttercup10244,type,
    k04_buttercup10244: $i > $o ).

thf(tp_k04_buttercup10252,type,
    k04_buttercup10252: $i > $o ).

thf(tp_k04_buttercup10255,type,
    k04_buttercup10255: $i > $o ).

thf(tp_k04_buttercup10259,type,
    k04_buttercup10259: $i > $o ).

thf(tp_k04_buttercup10282,type,
    k04_buttercup10282: $i > $o ).

thf(tp_k04_buttercup10286,type,
    k04_buttercup10286: $i > $o ).

thf(tp_k04_buttercup10288,type,
    k04_buttercup10288: $i > $o ).

thf(tp_k04_buttercup10293,type,
    k04_buttercup10293: $i > $o ).

thf(tp_k04_buttercup10296,type,
    k04_buttercup10296: $i > $o ).

thf(tp_k04_buttercup10298,type,
    k04_buttercup10298: $i > $o ).

thf(tp_k04_buttercup10303,type,
    k04_buttercup10303: $i > $o ).

thf(tp_k04_buttercup10312,type,
    k04_buttercup10312: $i > $o ).

thf(tp_k04_buttercup10316,type,
    k04_buttercup10316: $i > $o ).

thf(tp_k04_buttercup10325,type,
    k04_buttercup10325: $i > $o ).

thf(tp_k04_buttercup10329,type,
    k04_buttercup10329: $i > $o ).

thf(tp_k04_buttercup10333,type,
    k04_buttercup10333: $i > $o ).

thf(tp_k04_buttercup10337,type,
    k04_buttercup10337: $i > $o ).

thf(tp_k04_buttercup10342,type,
    k04_buttercup10342: $i > $o ).

thf(tp_k04_buttercup10347,type,
    k04_buttercup10347: $i > $o ).

thf(tp_k04_buttercup10351,type,
    k04_buttercup10351: $i > $o ).

thf(tp_k04_buttercup10356,type,
    k04_buttercup10356: $i > $o ).

thf(tp_k04_buttercup10357,type,
    k04_buttercup10357: $i > $o ).

thf(tp_k04_buttercup10360,type,
    k04_buttercup10360: $i > $o ).

thf(tp_k04_buttercup10364,type,
    k04_buttercup10364: $i > $o ).

thf(tp_k04_buttercup10369,type,
    k04_buttercup10369: $i > $o ).

thf(tp_k04_buttercup10371,type,
    k04_buttercup10371: $i > $o ).

thf(tp_k04_buttercup10373,type,
    k04_buttercup10373: $i > $o ).

thf(tp_k04_buttercup10376,type,
    k04_buttercup10376: $i > $o ).

thf(tp_k04_buttercup10380,type,
    k04_buttercup10380: $i > $o ).

thf(tp_k04_buttercup10382,type,
    k04_buttercup10382: $i > $o ).

thf(tp_k04_buttercup10385,type,
    k04_buttercup10385: $i > $o ).

thf(tp_k04_buttercup10389,type,
    k04_buttercup10389: $i > $o ).

thf(tp_k04_buttercup10391,type,
    k04_buttercup10391: $i > $o ).

thf(tp_k04_buttercup10397,type,
    k04_buttercup10397: $i > $o ).

thf(tp_k04_buttercup10400,type,
    k04_buttercup10400: $i > $o ).

thf(tp_k04_buttercup10404,type,
    k04_buttercup10404: $i > $o ).

thf(tp_k04_buttercup10406,type,
    k04_buttercup10406: $i > $o ).

thf(tp_k04_buttercup10408,type,
    k04_buttercup10408: $i > $o ).

thf(tp_k04_buttercup10415,type,
    k04_buttercup10415: $i > $o ).

thf(tp_k04_buttercup10419,type,
    k04_buttercup10419: $i > $o ).

thf(tp_k04_buttercup10424,type,
    k04_buttercup10424: $i > $o ).

thf(tp_k04_buttercup10425,type,
    k04_buttercup10425: $i > $o ).

thf(tp_k04_buttercup10430,type,
    k04_buttercup10430: $i > $o ).

thf(tp_k04_buttercup10437,type,
    k04_buttercup10437: $i > $o ).

thf(tp_k04_buttercup10445,type,
    k04_buttercup10445: $i > $o ).

thf(tp_k04_buttercup10449,type,
    k04_buttercup10449: $i > $o ).

thf(tp_k04_buttercup10453,type,
    k04_buttercup10453: $i > $o ).

thf(tp_k04_buttercup10462,type,
    k04_buttercup10462: $i > $o ).

thf(tp_k04_buttercup10464,type,
    k04_buttercup10464: $i > $o ).

thf(tp_k04_buttercup10470,type,
    k04_buttercup10470: $i > $o ).

thf(tp_k04_buttercup10473,type,
    k04_buttercup10473: $i > $o ).

thf(tp_k04_buttercup10477,type,
    k04_buttercup10477: $i > $o ).

thf(tp_k04_buttercup10482,type,
    k04_buttercup10482: $i > $o ).

thf(tp_k04_buttercup10486,type,
    k04_buttercup10486: $i > $o ).

thf(tp_k04_buttercup10492,type,
    k04_buttercup10492: $i > $o ).

thf(tp_k04_buttercup10495,type,
    k04_buttercup10495: $i > $o ).

thf(tp_k04_buttercup10499,type,
    k04_buttercup10499: $i > $o ).

thf(tp_k04_buttercup10504,type,
    k04_buttercup10504: $i > $o ).

thf(tp_k04_buttercup10506,type,
    k04_buttercup10506: $i > $o ).

thf(tp_k04_buttercup10510,type,
    k04_buttercup10510: $i > $o ).

thf(tp_k04_buttercup10516,type,
    k04_buttercup10516: $i > $o ).

thf(tp_k04_buttercup10517,type,
    k04_buttercup10517: $i > $o ).

thf(tp_k04_buttercup10524,type,
    k04_buttercup10524: $i > $o ).

thf(tp_k04_buttercup10529,type,
    k04_buttercup10529: $i > $o ).

thf(tp_k04_buttercup10535,type,
    k04_buttercup10535: $i > $o ).

thf(tp_k04_buttercup10539,type,
    k04_buttercup10539: $i > $o ).

thf(tp_k04_buttercup10540,type,
    k04_buttercup10540: $i > $o ).

thf(tp_k04_buttercup10544,type,
    k04_buttercup10544: $i > $o ).

thf(tp_k04_buttercup10546,type,
    k04_buttercup10546: $i > $o ).

thf(tp_k04_buttercup10547,type,
    k04_buttercup10547: $i > $o ).

thf(tp_k04_buttercup10551,type,
    k04_buttercup10551: $i > $o ).

thf(tp_k04_buttercup10555,type,
    k04_buttercup10555: $i > $o ).

thf(tp_k04_buttercup10559,type,
    k04_buttercup10559: $i > $o ).

thf(tp_k04_buttercup10567,type,
    k04_buttercup10567: $i > $o ).

thf(tp_k04_buttercup10578,type,
    k04_buttercup10578: $i > $o ).

thf(tp_k04_buttercup10581,type,
    k04_buttercup10581: $i > $o ).

thf(tp_k04_buttercup10586,type,
    k04_buttercup10586: $i > $o ).

thf(tp_k04_buttercup10593,type,
    k04_buttercup10593: $i > $o ).

thf(tp_k04_buttercup10599,type,
    k04_buttercup10599: $i > $o ).

thf(tp_k04_buttercup10602,type,
    k04_buttercup10602: $i > $o ).

thf(tp_k04_buttercup10608,type,
    k04_buttercup10608: $i > $o ).

thf(tp_k04_buttercup10611,type,
    k04_buttercup10611: $i > $o ).

thf(tp_k04_buttercup10619,type,
    k04_buttercup10619: $i > $o ).

thf(tp_k04_buttercup10620,type,
    k04_buttercup10620: $i > $o ).

thf(tp_k04_buttercup10622,type,
    k04_buttercup10622: $i > $o ).

thf(tp_k04_buttercup10626,type,
    k04_buttercup10626: $i > $o ).

thf(tp_k04_buttercup10628,type,
    k04_buttercup10628: $i > $o ).

thf(tp_k04_buttercup10631,type,
    k04_buttercup10631: $i > $o ).

thf(tp_k04_buttercup10635,type,
    k04_buttercup10635: $i > $o ).

thf(tp_k04_buttercup10637,type,
    k04_buttercup10637: $i > $o ).

thf(tp_k04_buttercup10639,type,
    k04_buttercup10639: $i > $o ).

thf(tp_k04_buttercup10641,type,
    k04_buttercup10641: $i > $o ).

thf(tp_k04_buttercup10643,type,
    k04_buttercup10643: $i > $o ).

thf(tp_sK10_X755,type,
    sK10_X755: $i ).

thf(tp_sK11_X522,type,
    sK11_X522: $i ).

thf(tp_sK12_X918,type,
    sK12_X918: $i ).

thf(tp_sK13_X747,type,
    sK13_X747: $i ).

thf(tp_sK14_X620,type,
    sK14_X620: $i ).

thf(tp_sK15_X324,type,
    sK15_X324: $i ).

thf(tp_sK16_X320,type,
    sK16_X320: $i ).

thf(tp_sK1_X1056,type,
    sK1_X1056: $i ).

thf(tp_sK2_X1055,type,
    sK2_X1055: $i ).

thf(tp_sK3_X1058,type,
    sK3_X1058: $i ).

thf(tp_sK4_X1060,type,
    sK4_X1060: $i ).

thf(tp_sK5_REN,type,
    sK5_REN: $o ).

thf(tp_sK6_REN,type,
    sK6_REN: $o ).

thf(tp_sK7_X1053,type,
    sK7_X1053: $i ).

thf(tp_sK8_X1026,type,
    sK8_X1026: $i ).

thf(tp_sK9_X916,type,
    sK9_X916: $i ).

thf(2,axiom,
    ? [X1053: $i] : ( b48_buttercup10308 @ X1053 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_884) ).

thf(29,axiom,
    ? [X1026: $i] : ( b48_buttercup10300 @ X1026 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_857) ).

thf(137,axiom,
    ? [X918: $i] : ( b48_buttercup10305 @ X918 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_749) ).

thf(139,axiom,
    ? [X916: $i] : ( b48_buttercup10307 @ X916 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_747) ).

thf(300,axiom,
    ? [X755: $i] : ( k04_buttercup10012 @ X755 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_586) ).

thf(308,axiom,
    ? [X747: $i] : ( k04_buttercup10303 @ X747 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_578) ).

thf(407,axiom,
    ( ! [X619: $i] :
        ( ( b48_buttercup10308 @ X619 )
       => ( k04_buttercup10303 @ X619 ) )
    & ? [X620: $i] :
        ( ( k04_buttercup10303 @ X620 )
        & ~ ( b48_buttercup10308 @ X620 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_479) ).

thf(467,axiom,
    ( ! [X521: $i] :
        ( ( k04_buttercup10012 @ X521 )
       => ( b48_buttercup10007 @ X521 ) )
    & ? [X522: $i] :
        ( ( b48_buttercup10007 @ X522 )
        & ~ ( k04_buttercup10012 @ X522 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_419) ).

thf(563,axiom,
    ( ! [X323: $i] :
        ( ( b48_buttercup10307 @ X323 )
       => ( k04_buttercup10303 @ X323 ) )
    & ? [X324: $i] :
        ( ( k04_buttercup10303 @ X324 )
        & ~ ( b48_buttercup10307 @ X324 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_323) ).

thf(564,axiom,
    ! [X322: $i] :
      ( ( k04_buttercup10303 @ X322 )
    <=> ( b48_buttercup10300 @ X322 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_322) ).

thf(566,axiom,
    ( ! [X319: $i] :
        ( ( b48_buttercup10305 @ X319 )
       => ( k04_buttercup10303 @ X319 ) )
    & ? [X320: $i] :
        ( ( k04_buttercup10303 @ X320 )
        & ~ ( b48_buttercup10305 @ X320 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_320) ).

thf(649,axiom,
    ! [X236: $i] :
      ( ( b48_buttercup10300 @ X236 )
     => ( b48_buttercup10007 @ X236 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_237) ).

thf(752,axiom,
    ! [X133: $i] :
      ( ( b48_buttercup10308 @ X133 )
     => ( b48_buttercup10300 @ X133 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_134) ).

thf(753,axiom,
    ! [X132: $i] :
      ( ( b48_buttercup10307 @ X132 )
     => ( b48_buttercup10300 @ X132 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_133) ).

thf(754,axiom,
    ! [X131: $i] :
      ( ( b48_buttercup10305 @ X131 )
     => ( b48_buttercup10300 @ X131 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_132) ).

thf(757,axiom,
    ! [X128: $i] :
      ( ( k04_buttercup10643 @ X128 )
     => ( k04_buttercup10012 @ X128 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_129) ).

thf(758,axiom,
    ! [X127: $i] :
      ( ( k04_buttercup10635 @ X127 )
     => ( k04_buttercup10012 @ X127 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_128) ).

thf(759,axiom,
    ! [X126: $i] :
      ( ( k04_buttercup10631 @ X126 )
     => ( k04_buttercup10012 @ X126 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_127) ).

thf(760,axiom,
    ! [X125: $i] :
      ( ( k04_buttercup10628 @ X125 )
     => ( k04_buttercup10012 @ X125 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_126) ).

thf(761,axiom,
    ! [X124: $i] :
      ( ( k04_buttercup10626 @ X124 )
     => ( k04_buttercup10012 @ X124 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_125) ).

thf(762,axiom,
    ! [X123: $i] :
      ( ( k04_buttercup10619 @ X123 )
     => ( k04_buttercup10012 @ X123 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_124) ).

thf(763,axiom,
    ! [X122: $i] :
      ( ( k04_buttercup10611 @ X122 )
     => ( k04_buttercup10012 @ X122 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_123) ).

thf(764,axiom,
    ! [X121: $i] :
      ( ( k04_buttercup10608 @ X121 )
     => ( k04_buttercup10012 @ X121 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_122) ).

thf(765,axiom,
    ! [X120: $i] :
      ( ( k04_buttercup10593 @ X120 )
     => ( k04_buttercup10012 @ X120 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_121) ).

thf(766,axiom,
    ! [X119: $i] :
      ( ( k04_buttercup10586 @ X119 )
     => ( k04_buttercup10012 @ X119 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_120) ).

thf(767,axiom,
    ! [X118: $i] :
      ( ( k04_buttercup10581 @ X118 )
     => ( k04_buttercup10012 @ X118 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_119) ).

thf(768,axiom,
    ! [X117: $i] :
      ( ( k04_buttercup10578 @ X117 )
     => ( k04_buttercup10012 @ X117 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_118) ).

thf(769,axiom,
    ! [X116: $i] :
      ( ( k04_buttercup10567 @ X116 )
     => ( k04_buttercup10012 @ X116 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_117) ).

thf(770,axiom,
    ! [X115: $i] :
      ( ( k04_buttercup10555 @ X115 )
     => ( k04_buttercup10012 @ X115 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_116) ).

thf(771,axiom,
    ! [X114: $i] :
      ( ( k04_buttercup10551 @ X114 )
     => ( k04_buttercup10012 @ X114 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_115) ).

thf(772,axiom,
    ! [X113: $i] :
      ( ( k04_buttercup10544 @ X113 )
     => ( k04_buttercup10012 @ X113 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_114) ).

thf(773,axiom,
    ! [X112: $i] :
      ( ( k04_buttercup10535 @ X112 )
     => ( k04_buttercup10012 @ X112 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_113) ).

thf(774,axiom,
    ! [X111: $i] :
      ( ( k04_buttercup10529 @ X111 )
     => ( k04_buttercup10012 @ X111 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_112) ).

thf(775,axiom,
    ! [X110: $i] :
      ( ( k04_buttercup10524 @ X110 )
     => ( k04_buttercup10012 @ X110 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_111) ).

thf(776,axiom,
    ! [X109: $i] :
      ( ( k04_buttercup10516 @ X109 )
     => ( k04_buttercup10012 @ X109 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_110) ).

thf(777,axiom,
    ! [X108: $i] :
      ( ( k04_buttercup10510 @ X108 )
     => ( k04_buttercup10012 @ X108 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_109) ).

thf(778,axiom,
    ! [X107: $i] :
      ( ( k04_buttercup10504 @ X107 )
     => ( k04_buttercup10012 @ X107 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_108) ).

thf(779,axiom,
    ! [X106: $i] :
      ( ( k04_buttercup10499 @ X106 )
     => ( k04_buttercup10012 @ X106 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_107) ).

thf(780,axiom,
    ! [X105: $i] :
      ( ( k04_buttercup10495 @ X105 )
     => ( k04_buttercup10012 @ X105 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_106) ).

thf(781,axiom,
    ! [X104: $i] :
      ( ( k04_buttercup10492 @ X104 )
     => ( k04_buttercup10012 @ X104 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_105) ).

thf(782,axiom,
    ! [X103: $i] :
      ( ( k04_buttercup10477 @ X103 )
     => ( k04_buttercup10012 @ X103 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_104) ).

thf(783,axiom,
    ! [X102: $i] :
      ( ( k04_buttercup10473 @ X102 )
     => ( k04_buttercup10012 @ X102 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_103) ).

thf(784,axiom,
    ! [X101: $i] :
      ( ( k04_buttercup10470 @ X101 )
     => ( k04_buttercup10012 @ X101 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_102) ).

thf(785,axiom,
    ! [X100: $i] :
      ( ( k04_buttercup10449 @ X100 )
     => ( k04_buttercup10012 @ X100 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_101) ).

thf(786,axiom,
    ! [X99: $i] :
      ( ( k04_buttercup10445 @ X99 )
     => ( k04_buttercup10012 @ X99 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_100) ).

thf(787,axiom,
    ! [X98: $i] :
      ( ( k04_buttercup10437 @ X98 )
     => ( k04_buttercup10012 @ X98 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_99) ).

thf(788,axiom,
    ! [X97: $i] :
      ( ( k04_buttercup10430 @ X97 )
     => ( k04_buttercup10012 @ X97 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_98) ).

thf(789,axiom,
    ! [X96: $i] :
      ( ( k04_buttercup10424 @ X96 )
     => ( k04_buttercup10012 @ X96 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_97) ).

thf(790,axiom,
    ! [X95: $i] :
      ( ( k04_buttercup10419 @ X95 )
     => ( k04_buttercup10012 @ X95 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_96) ).

thf(791,axiom,
    ! [X94: $i] :
      ( ( k04_buttercup10415 @ X94 )
     => ( k04_buttercup10012 @ X94 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_95) ).

thf(792,axiom,
    ! [X93: $i] :
      ( ( k04_buttercup10404 @ X93 )
     => ( k04_buttercup10012 @ X93 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_94) ).

thf(793,axiom,
    ! [X92: $i] :
      ( ( k04_buttercup10400 @ X92 )
     => ( k04_buttercup10012 @ X92 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_93) ).

thf(794,axiom,
    ! [X91: $i] :
      ( ( k04_buttercup10397 @ X91 )
     => ( k04_buttercup10012 @ X91 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_92) ).

thf(795,axiom,
    ! [X90: $i] :
      ( ( k04_buttercup10391 @ X90 )
     => ( k04_buttercup10012 @ X90 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_91) ).

thf(796,axiom,
    ! [X89: $i] :
      ( ( k04_buttercup10389 @ X89 )
     => ( k04_buttercup10012 @ X89 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_90) ).

thf(797,axiom,
    ! [X88: $i] :
      ( ( k04_buttercup10385 @ X88 )
     => ( k04_buttercup10012 @ X88 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_89) ).

thf(798,axiom,
    ! [X87: $i] :
      ( ( k04_buttercup10382 @ X87 )
     => ( k04_buttercup10012 @ X87 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_88) ).

thf(799,axiom,
    ! [X86: $i] :
      ( ( k04_buttercup10380 @ X86 )
     => ( k04_buttercup10012 @ X86 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_87) ).

thf(800,axiom,
    ! [X85: $i] :
      ( ( k04_buttercup10369 @ X85 )
     => ( k04_buttercup10012 @ X85 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_86) ).

thf(801,axiom,
    ! [X84: $i] :
      ( ( k04_buttercup10364 @ X84 )
     => ( k04_buttercup10012 @ X84 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_85) ).

thf(802,axiom,
    ! [X83: $i] :
      ( ( k04_buttercup10181 @ X83 )
     => ( k04_buttercup10012 @ X83 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_84) ).

thf(803,axiom,
    ! [X82: $i] :
      ( ( k04_buttercup10172 @ X82 )
     => ( k04_buttercup10012 @ X82 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_83) ).

thf(804,axiom,
    ! [X81: $i] :
      ( ( k04_buttercup10164 @ X81 )
     => ( k04_buttercup10012 @ X81 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_82) ).

thf(805,axiom,
    ! [X80: $i] :
      ( ( k04_buttercup10153 @ X80 )
     => ( k04_buttercup10012 @ X80 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_81) ).

thf(806,axiom,
    ! [X79: $i] :
      ( ( k04_buttercup10147 @ X79 )
     => ( k04_buttercup10012 @ X79 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_80) ).

thf(807,axiom,
    ! [X78: $i] :
      ( ( k04_buttercup10139 @ X78 )
     => ( k04_buttercup10012 @ X78 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_79) ).

thf(808,axiom,
    ! [X77: $i] :
      ( ( k04_buttercup10135 @ X77 )
     => ( k04_buttercup10012 @ X77 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_78) ).

thf(809,axiom,
    ! [X76: $i] :
      ( ( k04_buttercup10132 @ X76 )
     => ( k04_buttercup10012 @ X76 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_77) ).

thf(810,axiom,
    ! [X75: $i] :
      ( ( k04_buttercup10125 @ X75 )
     => ( k04_buttercup10012 @ X75 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_76) ).

thf(811,axiom,
    ! [X74: $i] :
      ( ( k04_buttercup10117 @ X74 )
     => ( k04_buttercup10012 @ X74 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_75) ).

thf(812,axiom,
    ! [X73: $i] :
      ( ( k04_buttercup10100 @ X73 )
     => ( k04_buttercup10012 @ X73 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_74) ).

thf(813,axiom,
    ! [X72: $i] :
      ( ( k04_buttercup10095 @ X72 )
     => ( k04_buttercup10012 @ X72 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_73) ).

thf(814,axiom,
    ! [X71: $i] :
      ( ( k04_buttercup10089 @ X71 )
     => ( k04_buttercup10012 @ X71 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_72) ).

thf(815,axiom,
    ! [X70: $i] :
      ( ( k04_buttercup10084 @ X70 )
     => ( k04_buttercup10012 @ X70 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_71) ).

thf(816,axiom,
    ! [X69: $i] :
      ( ( k04_buttercup10079 @ X69 )
     => ( k04_buttercup10012 @ X69 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_70) ).

thf(817,axiom,
    ! [X68: $i] :
      ( ( k04_buttercup10057 @ X68 )
     => ( k04_buttercup10012 @ X68 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_69) ).

thf(818,axiom,
    ! [X67: $i] :
      ( ( k04_buttercup10053 @ X67 )
     => ( k04_buttercup10012 @ X67 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_68) ).

thf(819,axiom,
    ! [X66: $i] :
      ( ( k04_buttercup10048 @ X66 )
     => ( k04_buttercup10012 @ X66 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_67) ).

thf(820,axiom,
    ! [X65: $i] :
      ( ( k04_buttercup10039 @ X65 )
     => ( k04_buttercup10012 @ X65 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_66) ).

thf(821,axiom,
    ! [X64: $i] :
      ( ( k04_buttercup10026 @ X64 )
     => ( k04_buttercup10012 @ X64 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_65) ).

thf(822,axiom,
    ! [X63: $i] :
      ( ( k04_buttercup10016 @ X63 )
     => ( k04_buttercup10012 @ X63 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_64) ).

thf(823,axiom,
    ! [X62: $i] :
      ( ( k04_buttercup10356 @ X62 )
     => ( k04_buttercup10012 @ X62 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_63) ).

thf(824,axiom,
    ! [X61: $i] :
      ( ( k04_buttercup10337 @ X61 )
     => ( k04_buttercup10012 @ X61 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_62) ).

thf(825,axiom,
    ! [X60: $i] :
      ( ( k04_buttercup10333 @ X60 )
     => ( k04_buttercup10012 @ X60 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_61) ).

thf(826,axiom,
    ! [X59: $i] :
      ( ( k04_buttercup10329 @ X59 )
     => ( k04_buttercup10012 @ X59 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_60) ).

thf(827,axiom,
    ! [X58: $i] :
      ( ( k04_buttercup10325 @ X58 )
     => ( k04_buttercup10012 @ X58 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_59) ).

thf(828,axiom,
    ! [X57: $i] :
      ( ( k04_buttercup10316 @ X57 )
     => ( k04_buttercup10012 @ X57 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_58) ).

thf(829,axiom,
    ! [X56: $i] :
      ( ( k04_buttercup10312 @ X56 )
     => ( k04_buttercup10012 @ X56 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_57) ).

thf(830,axiom,
    ! [X55: $i] :
      ( ( k04_buttercup10303 @ X55 )
     => ( k04_buttercup10012 @ X55 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_56) ).

thf(831,axiom,
    ! [X54: $i] :
      ( ( k04_buttercup10293 @ X54 )
     => ( k04_buttercup10012 @ X54 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_55) ).

thf(832,axiom,
    ! [X53: $i] :
      ( ( k04_buttercup10282 @ X53 )
     => ( k04_buttercup10012 @ X53 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_54) ).

thf(833,axiom,
    ! [X52: $i] :
      ( ( k04_buttercup10252 @ X52 )
     => ( k04_buttercup10012 @ X52 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_53) ).

thf(834,axiom,
    ! [X51: $i] :
      ( ( k04_buttercup10244 @ X51 )
     => ( k04_buttercup10012 @ X51 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_52) ).

thf(835,axiom,
    ! [X50: $i] :
      ( ( k04_buttercup10234 @ X50 )
     => ( k04_buttercup10012 @ X50 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_51) ).

thf(836,axiom,
    ! [X49: $i] :
      ( ( k04_buttercup10225 @ X49 )
     => ( k04_buttercup10012 @ X49 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_50) ).

thf(837,axiom,
    ! [X48: $i] :
      ( ( k04_buttercup10221 @ X48 )
     => ( k04_buttercup10012 @ X48 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_49) ).

thf(838,axiom,
    ! [X47: $i] :
      ( ( k04_buttercup10204 @ X47 )
     => ( k04_buttercup10012 @ X47 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_48) ).

thf(839,axiom,
    ! [X46: $i] :
      ( ( k04_buttercup10200 @ X46 )
     => ( k04_buttercup10012 @ X46 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_47) ).

thf(840,axiom,
    ! [X45: $i] :
      ( ( k04_buttercup10190 @ X45 )
     => ( k04_buttercup10012 @ X45 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_46) ).

thf(841,axiom,
    ! [X44: $i] :
      ( ( k04_buttercup10184 @ X44 )
     => ( k04_buttercup10012 @ X44 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_45) ).

thf(886,conjecture,
    ( ! [X1055: $i] :
        ( ( b48_buttercup10305 @ X1055 )
      <=> ( k04_buttercup10303 @ X1055 ) )
    | ( ! [X1056: $i] :
          ( ( k04_buttercup10303 @ X1056 )
         => ( b48_buttercup10305 @ X1056 ) )
      & ? [X1057: $i] :
          ( ( b48_buttercup10305 @ X1057 )
          & ~ ( k04_buttercup10303 @ X1057 ) ) )
    | ( ! [X1058: $i] :
          ( ( b48_buttercup10305 @ X1058 )
         => ( k04_buttercup10303 @ X1058 ) )
      & ? [X1059: $i] :
          ( ( k04_buttercup10303 @ X1059 )
          & ~ ( b48_buttercup10305 @ X1059 ) ) )
    | ! [X1060: $i] :
        ( ( b48_buttercup10305 @ X1060 )
       => ~ ( k04_buttercup10303 @ X1060 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_886) ).

thf(887,negated_conjecture,
    ( ( ! [X1055: $i] :
          ( ( b48_buttercup10305 @ X1055 )
        <=> ( k04_buttercup10303 @ X1055 ) )
      | ( ! [X1056: $i] :
            ( ( k04_buttercup10303 @ X1056 )
           => ( b48_buttercup10305 @ X1056 ) )
        & ? [X1057: $i] :
            ( ( b48_buttercup10305 @ X1057 )
            & ~ ( k04_buttercup10303 @ X1057 ) ) )
      | ( ! [X1058: $i] :
            ( ( b48_buttercup10305 @ X1058 )
           => ( k04_buttercup10303 @ X1058 ) )
        & ? [X1059: $i] :
            ( ( k04_buttercup10303 @ X1059 )
            & ~ ( b48_buttercup10305 @ X1059 ) ) )
      | ! [X1060: $i] :
          ( ( b48_buttercup10305 @ X1060 )
         => ~ ( k04_buttercup10303 @ X1060 ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[886]) ).

thf(888,plain,
    ( ( ! [X1055: $i] :
          ( ( b48_buttercup10305 @ X1055 )
        <=> ( k04_buttercup10303 @ X1055 ) )
      | ( ! [X1056: $i] :
            ( ( k04_buttercup10303 @ X1056 )
           => ( b48_buttercup10305 @ X1056 ) )
        & ? [X1057: $i] :
            ( ( b48_buttercup10305 @ X1057 )
            & ~ ( k04_buttercup10303 @ X1057 ) ) )
      | ( ! [X1058: $i] :
            ( ( b48_buttercup10305 @ X1058 )
           => ( k04_buttercup10303 @ X1058 ) )
        & ? [X1059: $i] :
            ( ( k04_buttercup10303 @ X1059 )
            & ~ ( b48_buttercup10305 @ X1059 ) ) )
      | ! [X1060: $i] :
          ( ( b48_buttercup10305 @ X1060 )
         => ~ ( k04_buttercup10303 @ X1060 ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[887]) ).

thf(889,plain,
    ( ( ? [X1053: $i] : ( b48_buttercup10308 @ X1053 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(890,plain,
    ( ( ? [X1026: $i] : ( b48_buttercup10300 @ X1026 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[29]) ).

thf(891,plain,
    ( ( ? [X916: $i] : ( b48_buttercup10307 @ X916 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[139]) ).

thf(892,plain,
    ( ( ? [X755: $i] : ( k04_buttercup10012 @ X755 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[300]) ).

thf(893,plain,
    ( ( ! [X521: $i] :
          ( ( k04_buttercup10012 @ X521 )
         => ( b48_buttercup10007 @ X521 ) )
      & ? [X522: $i] :
          ( ( b48_buttercup10007 @ X522 )
          & ~ ( k04_buttercup10012 @ X522 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[467]) ).

thf(894,plain,
    ( ( ! [X236: $i] :
          ( ( b48_buttercup10300 @ X236 )
         => ( b48_buttercup10007 @ X236 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[649]) ).

thf(895,plain,
    ( ( ! [X133: $i] :
          ( ( b48_buttercup10308 @ X133 )
         => ( b48_buttercup10300 @ X133 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[752]) ).

thf(896,plain,
    ( ( ! [X132: $i] :
          ( ( b48_buttercup10307 @ X132 )
         => ( b48_buttercup10300 @ X132 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[753]) ).

thf(897,plain,
    ( ( ! [X128: $i] :
          ( ( k04_buttercup10643 @ X128 )
         => ( k04_buttercup10012 @ X128 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[757]) ).

thf(898,plain,
    ( ( ! [X127: $i] :
          ( ( k04_buttercup10635 @ X127 )
         => ( k04_buttercup10012 @ X127 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[758]) ).

thf(899,plain,
    ( ( ! [X126: $i] :
          ( ( k04_buttercup10631 @ X126 )
         => ( k04_buttercup10012 @ X126 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[759]) ).

thf(900,plain,
    ( ( ! [X125: $i] :
          ( ( k04_buttercup10628 @ X125 )
         => ( k04_buttercup10012 @ X125 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[760]) ).

thf(901,plain,
    ( ( ! [X124: $i] :
          ( ( k04_buttercup10626 @ X124 )
         => ( k04_buttercup10012 @ X124 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[761]) ).

thf(902,plain,
    ( ( ! [X123: $i] :
          ( ( k04_buttercup10619 @ X123 )
         => ( k04_buttercup10012 @ X123 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[762]) ).

thf(903,plain,
    ( ( ! [X122: $i] :
          ( ( k04_buttercup10611 @ X122 )
         => ( k04_buttercup10012 @ X122 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[763]) ).

thf(904,plain,
    ( ( ! [X121: $i] :
          ( ( k04_buttercup10608 @ X121 )
         => ( k04_buttercup10012 @ X121 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[764]) ).

thf(905,plain,
    ( ( ! [X120: $i] :
          ( ( k04_buttercup10593 @ X120 )
         => ( k04_buttercup10012 @ X120 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[765]) ).

thf(906,plain,
    ( ( ! [X119: $i] :
          ( ( k04_buttercup10586 @ X119 )
         => ( k04_buttercup10012 @ X119 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[766]) ).

thf(907,plain,
    ( ( ! [X118: $i] :
          ( ( k04_buttercup10581 @ X118 )
         => ( k04_buttercup10012 @ X118 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[767]) ).

thf(908,plain,
    ( ( ! [X117: $i] :
          ( ( k04_buttercup10578 @ X117 )
         => ( k04_buttercup10012 @ X117 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[768]) ).

thf(909,plain,
    ( ( ! [X116: $i] :
          ( ( k04_buttercup10567 @ X116 )
         => ( k04_buttercup10012 @ X116 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[769]) ).

thf(910,plain,
    ( ( ! [X115: $i] :
          ( ( k04_buttercup10555 @ X115 )
         => ( k04_buttercup10012 @ X115 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[770]) ).

thf(911,plain,
    ( ( ! [X114: $i] :
          ( ( k04_buttercup10551 @ X114 )
         => ( k04_buttercup10012 @ X114 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[771]) ).

thf(912,plain,
    ( ( ! [X113: $i] :
          ( ( k04_buttercup10544 @ X113 )
         => ( k04_buttercup10012 @ X113 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[772]) ).

thf(913,plain,
    ( ( ! [X112: $i] :
          ( ( k04_buttercup10535 @ X112 )
         => ( k04_buttercup10012 @ X112 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[773]) ).

thf(914,plain,
    ( ( ! [X111: $i] :
          ( ( k04_buttercup10529 @ X111 )
         => ( k04_buttercup10012 @ X111 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[774]) ).

thf(915,plain,
    ( ( ! [X110: $i] :
          ( ( k04_buttercup10524 @ X110 )
         => ( k04_buttercup10012 @ X110 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[775]) ).

thf(916,plain,
    ( ( ! [X109: $i] :
          ( ( k04_buttercup10516 @ X109 )
         => ( k04_buttercup10012 @ X109 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[776]) ).

thf(917,plain,
    ( ( ! [X108: $i] :
          ( ( k04_buttercup10510 @ X108 )
         => ( k04_buttercup10012 @ X108 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[777]) ).

thf(918,plain,
    ( ( ! [X107: $i] :
          ( ( k04_buttercup10504 @ X107 )
         => ( k04_buttercup10012 @ X107 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[778]) ).

thf(919,plain,
    ( ( ! [X106: $i] :
          ( ( k04_buttercup10499 @ X106 )
         => ( k04_buttercup10012 @ X106 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[779]) ).

thf(920,plain,
    ( ( ! [X105: $i] :
          ( ( k04_buttercup10495 @ X105 )
         => ( k04_buttercup10012 @ X105 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[780]) ).

thf(921,plain,
    ( ( ! [X104: $i] :
          ( ( k04_buttercup10492 @ X104 )
         => ( k04_buttercup10012 @ X104 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[781]) ).

thf(922,plain,
    ( ( ! [X103: $i] :
          ( ( k04_buttercup10477 @ X103 )
         => ( k04_buttercup10012 @ X103 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[782]) ).

thf(923,plain,
    ( ( ! [X102: $i] :
          ( ( k04_buttercup10473 @ X102 )
         => ( k04_buttercup10012 @ X102 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[783]) ).

thf(924,plain,
    ( ( ! [X101: $i] :
          ( ( k04_buttercup10470 @ X101 )
         => ( k04_buttercup10012 @ X101 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[784]) ).

thf(925,plain,
    ( ( ! [X100: $i] :
          ( ( k04_buttercup10449 @ X100 )
         => ( k04_buttercup10012 @ X100 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[785]) ).

thf(926,plain,
    ( ( ! [X99: $i] :
          ( ( k04_buttercup10445 @ X99 )
         => ( k04_buttercup10012 @ X99 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[786]) ).

thf(927,plain,
    ( ( ! [X98: $i] :
          ( ( k04_buttercup10437 @ X98 )
         => ( k04_buttercup10012 @ X98 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[787]) ).

thf(928,plain,
    ( ( ! [X97: $i] :
          ( ( k04_buttercup10430 @ X97 )
         => ( k04_buttercup10012 @ X97 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[788]) ).

thf(929,plain,
    ( ( ! [X96: $i] :
          ( ( k04_buttercup10424 @ X96 )
         => ( k04_buttercup10012 @ X96 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[789]) ).

thf(930,plain,
    ( ( ! [X95: $i] :
          ( ( k04_buttercup10419 @ X95 )
         => ( k04_buttercup10012 @ X95 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[790]) ).

thf(931,plain,
    ( ( ! [X94: $i] :
          ( ( k04_buttercup10415 @ X94 )
         => ( k04_buttercup10012 @ X94 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[791]) ).

thf(932,plain,
    ( ( ! [X93: $i] :
          ( ( k04_buttercup10404 @ X93 )
         => ( k04_buttercup10012 @ X93 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[792]) ).

thf(933,plain,
    ( ( ! [X92: $i] :
          ( ( k04_buttercup10400 @ X92 )
         => ( k04_buttercup10012 @ X92 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[793]) ).

thf(934,plain,
    ( ( ! [X91: $i] :
          ( ( k04_buttercup10397 @ X91 )
         => ( k04_buttercup10012 @ X91 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[794]) ).

thf(935,plain,
    ( ( ! [X90: $i] :
          ( ( k04_buttercup10391 @ X90 )
         => ( k04_buttercup10012 @ X90 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[795]) ).

thf(936,plain,
    ( ( ! [X89: $i] :
          ( ( k04_buttercup10389 @ X89 )
         => ( k04_buttercup10012 @ X89 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[796]) ).

thf(937,plain,
    ( ( ! [X88: $i] :
          ( ( k04_buttercup10385 @ X88 )
         => ( k04_buttercup10012 @ X88 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[797]) ).

thf(938,plain,
    ( ( ! [X87: $i] :
          ( ( k04_buttercup10382 @ X87 )
         => ( k04_buttercup10012 @ X87 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[798]) ).

thf(939,plain,
    ( ( ! [X86: $i] :
          ( ( k04_buttercup10380 @ X86 )
         => ( k04_buttercup10012 @ X86 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[799]) ).

thf(940,plain,
    ( ( ! [X85: $i] :
          ( ( k04_buttercup10369 @ X85 )
         => ( k04_buttercup10012 @ X85 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[800]) ).

thf(941,plain,
    ( ( ! [X84: $i] :
          ( ( k04_buttercup10364 @ X84 )
         => ( k04_buttercup10012 @ X84 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[801]) ).

thf(942,plain,
    ( ( ! [X83: $i] :
          ( ( k04_buttercup10181 @ X83 )
         => ( k04_buttercup10012 @ X83 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[802]) ).

thf(943,plain,
    ( ( ! [X82: $i] :
          ( ( k04_buttercup10172 @ X82 )
         => ( k04_buttercup10012 @ X82 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[803]) ).

thf(944,plain,
    ( ( ! [X81: $i] :
          ( ( k04_buttercup10164 @ X81 )
         => ( k04_buttercup10012 @ X81 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[804]) ).

thf(945,plain,
    ( ( ! [X80: $i] :
          ( ( k04_buttercup10153 @ X80 )
         => ( k04_buttercup10012 @ X80 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[805]) ).

thf(946,plain,
    ( ( ! [X79: $i] :
          ( ( k04_buttercup10147 @ X79 )
         => ( k04_buttercup10012 @ X79 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[806]) ).

thf(947,plain,
    ( ( ! [X78: $i] :
          ( ( k04_buttercup10139 @ X78 )
         => ( k04_buttercup10012 @ X78 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[807]) ).

thf(948,plain,
    ( ( ! [X77: $i] :
          ( ( k04_buttercup10135 @ X77 )
         => ( k04_buttercup10012 @ X77 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[808]) ).

thf(949,plain,
    ( ( ! [X76: $i] :
          ( ( k04_buttercup10132 @ X76 )
         => ( k04_buttercup10012 @ X76 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[809]) ).

thf(950,plain,
    ( ( ! [X75: $i] :
          ( ( k04_buttercup10125 @ X75 )
         => ( k04_buttercup10012 @ X75 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[810]) ).

thf(951,plain,
    ( ( ! [X74: $i] :
          ( ( k04_buttercup10117 @ X74 )
         => ( k04_buttercup10012 @ X74 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[811]) ).

thf(952,plain,
    ( ( ! [X73: $i] :
          ( ( k04_buttercup10100 @ X73 )
         => ( k04_buttercup10012 @ X73 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[812]) ).

thf(953,plain,
    ( ( ! [X72: $i] :
          ( ( k04_buttercup10095 @ X72 )
         => ( k04_buttercup10012 @ X72 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[813]) ).

thf(954,plain,
    ( ( ! [X71: $i] :
          ( ( k04_buttercup10089 @ X71 )
         => ( k04_buttercup10012 @ X71 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[814]) ).

thf(955,plain,
    ( ( ! [X70: $i] :
          ( ( k04_buttercup10084 @ X70 )
         => ( k04_buttercup10012 @ X70 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[815]) ).

thf(956,plain,
    ( ( ! [X69: $i] :
          ( ( k04_buttercup10079 @ X69 )
         => ( k04_buttercup10012 @ X69 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[816]) ).

thf(957,plain,
    ( ( ! [X68: $i] :
          ( ( k04_buttercup10057 @ X68 )
         => ( k04_buttercup10012 @ X68 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[817]) ).

thf(958,plain,
    ( ( ! [X67: $i] :
          ( ( k04_buttercup10053 @ X67 )
         => ( k04_buttercup10012 @ X67 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[818]) ).

thf(959,plain,
    ( ( ! [X66: $i] :
          ( ( k04_buttercup10048 @ X66 )
         => ( k04_buttercup10012 @ X66 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[819]) ).

thf(960,plain,
    ( ( ! [X65: $i] :
          ( ( k04_buttercup10039 @ X65 )
         => ( k04_buttercup10012 @ X65 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[820]) ).

thf(961,plain,
    ( ( ! [X64: $i] :
          ( ( k04_buttercup10026 @ X64 )
         => ( k04_buttercup10012 @ X64 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[821]) ).

thf(962,plain,
    ( ( ! [X63: $i] :
          ( ( k04_buttercup10016 @ X63 )
         => ( k04_buttercup10012 @ X63 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[822]) ).

thf(963,plain,
    ( ( ! [X62: $i] :
          ( ( k04_buttercup10356 @ X62 )
         => ( k04_buttercup10012 @ X62 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[823]) ).

thf(964,plain,
    ( ( ! [X61: $i] :
          ( ( k04_buttercup10337 @ X61 )
         => ( k04_buttercup10012 @ X61 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[824]) ).

thf(965,plain,
    ( ( ! [X60: $i] :
          ( ( k04_buttercup10333 @ X60 )
         => ( k04_buttercup10012 @ X60 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[825]) ).

thf(966,plain,
    ( ( ! [X59: $i] :
          ( ( k04_buttercup10329 @ X59 )
         => ( k04_buttercup10012 @ X59 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[826]) ).

thf(967,plain,
    ( ( ! [X58: $i] :
          ( ( k04_buttercup10325 @ X58 )
         => ( k04_buttercup10012 @ X58 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[827]) ).

thf(968,plain,
    ( ( ! [X57: $i] :
          ( ( k04_buttercup10316 @ X57 )
         => ( k04_buttercup10012 @ X57 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[828]) ).

thf(969,plain,
    ( ( ! [X56: $i] :
          ( ( k04_buttercup10312 @ X56 )
         => ( k04_buttercup10012 @ X56 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[829]) ).

thf(970,plain,
    ( ( ! [X54: $i] :
          ( ( k04_buttercup10293 @ X54 )
         => ( k04_buttercup10012 @ X54 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[831]) ).

thf(971,plain,
    ( ( ! [X53: $i] :
          ( ( k04_buttercup10282 @ X53 )
         => ( k04_buttercup10012 @ X53 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[832]) ).

thf(972,plain,
    ( ( ! [X52: $i] :
          ( ( k04_buttercup10252 @ X52 )
         => ( k04_buttercup10012 @ X52 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[833]) ).

thf(973,plain,
    ( ( ! [X51: $i] :
          ( ( k04_buttercup10244 @ X51 )
         => ( k04_buttercup10012 @ X51 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[834]) ).

thf(974,plain,
    ( ( ! [X50: $i] :
          ( ( k04_buttercup10234 @ X50 )
         => ( k04_buttercup10012 @ X50 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[835]) ).

thf(975,plain,
    ( ( ! [X49: $i] :
          ( ( k04_buttercup10225 @ X49 )
         => ( k04_buttercup10012 @ X49 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[836]) ).

thf(976,plain,
    ( ( ! [X48: $i] :
          ( ( k04_buttercup10221 @ X48 )
         => ( k04_buttercup10012 @ X48 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[837]) ).

thf(977,plain,
    ( ( ! [X47: $i] :
          ( ( k04_buttercup10204 @ X47 )
         => ( k04_buttercup10012 @ X47 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[838]) ).

thf(978,plain,
    ( ( ! [X46: $i] :
          ( ( k04_buttercup10200 @ X46 )
         => ( k04_buttercup10012 @ X46 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[839]) ).

thf(979,plain,
    ( ( ! [X45: $i] :
          ( ( k04_buttercup10190 @ X45 )
         => ( k04_buttercup10012 @ X45 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[840]) ).

thf(980,plain,
    ( ( ! [X44: $i] :
          ( ( k04_buttercup10184 @ X44 )
         => ( k04_buttercup10012 @ X44 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[841]) ).

thf(981,plain,
    ( ( ? [X918: $i] : ( b48_buttercup10305 @ X918 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[137]) ).

thf(982,plain,
    ( ( ? [X747: $i] : ( k04_buttercup10303 @ X747 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[308]) ).

thf(983,plain,
    ( ( ! [X619: $i] :
          ( ( b48_buttercup10308 @ X619 )
         => ( k04_buttercup10303 @ X619 ) )
      & ? [X620: $i] :
          ( ( k04_buttercup10303 @ X620 )
          & ~ ( b48_buttercup10308 @ X620 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[407]) ).

thf(984,plain,
    ( ( ! [X323: $i] :
          ( ( b48_buttercup10307 @ X323 )
         => ( k04_buttercup10303 @ X323 ) )
      & ? [X324: $i] :
          ( ( k04_buttercup10303 @ X324 )
          & ~ ( b48_buttercup10307 @ X324 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[563]) ).

thf(985,plain,
    ( ( ! [X322: $i] :
          ( ( k04_buttercup10303 @ X322 )
        <=> ( b48_buttercup10300 @ X322 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[564]) ).

thf(986,plain,
    ( ( ! [X319: $i] :
          ( ( b48_buttercup10305 @ X319 )
         => ( k04_buttercup10303 @ X319 ) )
      & ? [X320: $i] :
          ( ( k04_buttercup10303 @ X320 )
          & ~ ( b48_buttercup10305 @ X320 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[566]) ).

thf(987,plain,
    ( ( ! [X131: $i] :
          ( ( b48_buttercup10305 @ X131 )
         => ( b48_buttercup10300 @ X131 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[754]) ).

thf(988,plain,
    ( ( ! [X55: $i] :
          ( ( k04_buttercup10303 @ X55 )
         => ( k04_buttercup10012 @ X55 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[830]) ).

thf(989,plain,
    ( ( ~ ( ! [X1055: $i] :
              ( ( b48_buttercup10305 @ X1055 )
            <=> ( k04_buttercup10303 @ X1055 ) )
          | ( ! [X1056: $i] :
                ( ( k04_buttercup10303 @ X1056 )
               => ( b48_buttercup10305 @ X1056 ) )
            & ? [X1057: $i] :
                ( ( b48_buttercup10305 @ X1057 )
                & ~ ( k04_buttercup10303 @ X1057 ) ) )
          | ( ! [X1058: $i] :
                ( ( b48_buttercup10305 @ X1058 )
               => ( k04_buttercup10303 @ X1058 ) )
            & ? [X1059: $i] :
                ( ( k04_buttercup10303 @ X1059 )
                & ~ ( b48_buttercup10305 @ X1059 ) ) )
          | ! [X1060: $i] :
              ( ( b48_buttercup10305 @ X1060 )
             => ~ ( k04_buttercup10303 @ X1060 ) ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[888]) ).

thf(990,plain,
    ( ( ( b48_buttercup10305 @ sK4_X1060 )
      & ( k04_buttercup10303 @ sK4_X1060 )
      & ( sK6_REN
        | ! [X1059: $i] :
            ( ~ ( k04_buttercup10303 @ X1059 )
            | ( b48_buttercup10305 @ X1059 ) ) )
      & ( sK6_REN
       => ( ( b48_buttercup10305 @ sK3_X1058 )
          & ~ ( k04_buttercup10303 @ sK3_X1058 ) ) )
      & ( ~ ( b48_buttercup10305 @ sK2_X1055 )
        | ~ ( k04_buttercup10303 @ sK2_X1055 ) )
      & ( ( b48_buttercup10305 @ sK2_X1055 )
        | ( k04_buttercup10303 @ sK2_X1055 ) )
      & ( sK5_REN
        | ! [X1057: $i] :
            ( ~ ( b48_buttercup10305 @ X1057 )
            | ( k04_buttercup10303 @ X1057 ) ) )
      & ( sK5_REN
       => ( ( k04_buttercup10303 @ sK1_X1056 )
          & ~ ( b48_buttercup10305 @ sK1_X1056 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[989]) ).

thf(991,plain,
    ( ( b48_buttercup10308 @ sK7_X1053 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[889]) ).

thf(992,plain,
    ( ( b48_buttercup10300 @ sK8_X1026 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[890]) ).

thf(993,plain,
    ( ( b48_buttercup10307 @ sK9_X916 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[891]) ).

thf(994,plain,
    ( ( k04_buttercup10012 @ sK10_X755 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[892]) ).

thf(995,plain,
    ( ( ! [X521: $i] :
          ( ~ ( k04_buttercup10012 @ X521 )
          | ( b48_buttercup10007 @ X521 ) )
      & ( b48_buttercup10007 @ sK11_X522 )
      & ~ ( k04_buttercup10012 @ sK11_X522 ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[893]) ).

thf(996,plain,
    ( ( ! [X236: $i] :
          ( ~ ( b48_buttercup10300 @ X236 )
          | ( b48_buttercup10007 @ X236 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[894]) ).

thf(997,plain,
    ( ( ! [X133: $i] :
          ( ~ ( b48_buttercup10308 @ X133 )
          | ( b48_buttercup10300 @ X133 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[895]) ).

thf(998,plain,
    ( ( ! [X132: $i] :
          ( ~ ( b48_buttercup10307 @ X132 )
          | ( b48_buttercup10300 @ X132 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[896]) ).

thf(999,plain,
    ( ( ! [X128: $i] :
          ( ~ ( k04_buttercup10643 @ X128 )
          | ( k04_buttercup10012 @ X128 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[897]) ).

thf(1000,plain,
    ( ( ! [X127: $i] :
          ( ~ ( k04_buttercup10635 @ X127 )
          | ( k04_buttercup10012 @ X127 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[898]) ).

thf(1001,plain,
    ( ( ! [X126: $i] :
          ( ~ ( k04_buttercup10631 @ X126 )
          | ( k04_buttercup10012 @ X126 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[899]) ).

thf(1002,plain,
    ( ( ! [X125: $i] :
          ( ~ ( k04_buttercup10628 @ X125 )
          | ( k04_buttercup10012 @ X125 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[900]) ).

thf(1003,plain,
    ( ( ! [X124: $i] :
          ( ~ ( k04_buttercup10626 @ X124 )
          | ( k04_buttercup10012 @ X124 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[901]) ).

thf(1004,plain,
    ( ( ! [X123: $i] :
          ( ~ ( k04_buttercup10619 @ X123 )
          | ( k04_buttercup10012 @ X123 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[902]) ).

thf(1005,plain,
    ( ( ! [X122: $i] :
          ( ~ ( k04_buttercup10611 @ X122 )
          | ( k04_buttercup10012 @ X122 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[903]) ).

thf(1006,plain,
    ( ( ! [X121: $i] :
          ( ~ ( k04_buttercup10608 @ X121 )
          | ( k04_buttercup10012 @ X121 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[904]) ).

thf(1007,plain,
    ( ( ! [X120: $i] :
          ( ~ ( k04_buttercup10593 @ X120 )
          | ( k04_buttercup10012 @ X120 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[905]) ).

thf(1008,plain,
    ( ( ! [X119: $i] :
          ( ~ ( k04_buttercup10586 @ X119 )
          | ( k04_buttercup10012 @ X119 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[906]) ).

thf(1009,plain,
    ( ( ! [X118: $i] :
          ( ~ ( k04_buttercup10581 @ X118 )
          | ( k04_buttercup10012 @ X118 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[907]) ).

thf(1010,plain,
    ( ( ! [X117: $i] :
          ( ~ ( k04_buttercup10578 @ X117 )
          | ( k04_buttercup10012 @ X117 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[908]) ).

thf(1011,plain,
    ( ( ! [X116: $i] :
          ( ~ ( k04_buttercup10567 @ X116 )
          | ( k04_buttercup10012 @ X116 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[909]) ).

thf(1012,plain,
    ( ( ! [X115: $i] :
          ( ~ ( k04_buttercup10555 @ X115 )
          | ( k04_buttercup10012 @ X115 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[910]) ).

thf(1013,plain,
    ( ( ! [X114: $i] :
          ( ~ ( k04_buttercup10551 @ X114 )
          | ( k04_buttercup10012 @ X114 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[911]) ).

thf(1014,plain,
    ( ( ! [X113: $i] :
          ( ~ ( k04_buttercup10544 @ X113 )
          | ( k04_buttercup10012 @ X113 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[912]) ).

thf(1015,plain,
    ( ( ! [X112: $i] :
          ( ~ ( k04_buttercup10535 @ X112 )
          | ( k04_buttercup10012 @ X112 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[913]) ).

thf(1016,plain,
    ( ( ! [X111: $i] :
          ( ~ ( k04_buttercup10529 @ X111 )
          | ( k04_buttercup10012 @ X111 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[914]) ).

thf(1017,plain,
    ( ( ! [X110: $i] :
          ( ~ ( k04_buttercup10524 @ X110 )
          | ( k04_buttercup10012 @ X110 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[915]) ).

thf(1018,plain,
    ( ( ! [X109: $i] :
          ( ~ ( k04_buttercup10516 @ X109 )
          | ( k04_buttercup10012 @ X109 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[916]) ).

thf(1019,plain,
    ( ( ! [X108: $i] :
          ( ~ ( k04_buttercup10510 @ X108 )
          | ( k04_buttercup10012 @ X108 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[917]) ).

thf(1020,plain,
    ( ( ! [X107: $i] :
          ( ~ ( k04_buttercup10504 @ X107 )
          | ( k04_buttercup10012 @ X107 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[918]) ).

thf(1021,plain,
    ( ( ! [X106: $i] :
          ( ~ ( k04_buttercup10499 @ X106 )
          | ( k04_buttercup10012 @ X106 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[919]) ).

thf(1022,plain,
    ( ( ! [X105: $i] :
          ( ~ ( k04_buttercup10495 @ X105 )
          | ( k04_buttercup10012 @ X105 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[920]) ).

thf(1023,plain,
    ( ( ! [X104: $i] :
          ( ~ ( k04_buttercup10492 @ X104 )
          | ( k04_buttercup10012 @ X104 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[921]) ).

thf(1024,plain,
    ( ( ! [X103: $i] :
          ( ~ ( k04_buttercup10477 @ X103 )
          | ( k04_buttercup10012 @ X103 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[922]) ).

thf(1025,plain,
    ( ( ! [X102: $i] :
          ( ~ ( k04_buttercup10473 @ X102 )
          | ( k04_buttercup10012 @ X102 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[923]) ).

thf(1026,plain,
    ( ( ! [X101: $i] :
          ( ~ ( k04_buttercup10470 @ X101 )
          | ( k04_buttercup10012 @ X101 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[924]) ).

thf(1027,plain,
    ( ( ! [X100: $i] :
          ( ~ ( k04_buttercup10449 @ X100 )
          | ( k04_buttercup10012 @ X100 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[925]) ).

thf(1028,plain,
    ( ( ! [X99: $i] :
          ( ~ ( k04_buttercup10445 @ X99 )
          | ( k04_buttercup10012 @ X99 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[926]) ).

thf(1029,plain,
    ( ( ! [X98: $i] :
          ( ~ ( k04_buttercup10437 @ X98 )
          | ( k04_buttercup10012 @ X98 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[927]) ).

thf(1030,plain,
    ( ( ! [X97: $i] :
          ( ~ ( k04_buttercup10430 @ X97 )
          | ( k04_buttercup10012 @ X97 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[928]) ).

thf(1031,plain,
    ( ( ! [X96: $i] :
          ( ~ ( k04_buttercup10424 @ X96 )
          | ( k04_buttercup10012 @ X96 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[929]) ).

thf(1032,plain,
    ( ( ! [X95: $i] :
          ( ~ ( k04_buttercup10419 @ X95 )
          | ( k04_buttercup10012 @ X95 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[930]) ).

thf(1033,plain,
    ( ( ! [X94: $i] :
          ( ~ ( k04_buttercup10415 @ X94 )
          | ( k04_buttercup10012 @ X94 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[931]) ).

thf(1034,plain,
    ( ( ! [X93: $i] :
          ( ~ ( k04_buttercup10404 @ X93 )
          | ( k04_buttercup10012 @ X93 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[932]) ).

thf(1035,plain,
    ( ( ! [X92: $i] :
          ( ~ ( k04_buttercup10400 @ X92 )
          | ( k04_buttercup10012 @ X92 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[933]) ).

thf(1036,plain,
    ( ( ! [X91: $i] :
          ( ~ ( k04_buttercup10397 @ X91 )
          | ( k04_buttercup10012 @ X91 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[934]) ).

thf(1037,plain,
    ( ( ! [X90: $i] :
          ( ~ ( k04_buttercup10391 @ X90 )
          | ( k04_buttercup10012 @ X90 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[935]) ).

thf(1038,plain,
    ( ( ! [X89: $i] :
          ( ~ ( k04_buttercup10389 @ X89 )
          | ( k04_buttercup10012 @ X89 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[936]) ).

thf(1039,plain,
    ( ( ! [X88: $i] :
          ( ~ ( k04_buttercup10385 @ X88 )
          | ( k04_buttercup10012 @ X88 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[937]) ).

thf(1040,plain,
    ( ( ! [X87: $i] :
          ( ~ ( k04_buttercup10382 @ X87 )
          | ( k04_buttercup10012 @ X87 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[938]) ).

thf(1041,plain,
    ( ( ! [X86: $i] :
          ( ~ ( k04_buttercup10380 @ X86 )
          | ( k04_buttercup10012 @ X86 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[939]) ).

thf(1042,plain,
    ( ( ! [X85: $i] :
          ( ~ ( k04_buttercup10369 @ X85 )
          | ( k04_buttercup10012 @ X85 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[940]) ).

thf(1043,plain,
    ( ( ! [X84: $i] :
          ( ~ ( k04_buttercup10364 @ X84 )
          | ( k04_buttercup10012 @ X84 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[941]) ).

thf(1044,plain,
    ( ( ! [X83: $i] :
          ( ~ ( k04_buttercup10181 @ X83 )
          | ( k04_buttercup10012 @ X83 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[942]) ).

thf(1045,plain,
    ( ( ! [X82: $i] :
          ( ~ ( k04_buttercup10172 @ X82 )
          | ( k04_buttercup10012 @ X82 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[943]) ).

thf(1046,plain,
    ( ( ! [X81: $i] :
          ( ~ ( k04_buttercup10164 @ X81 )
          | ( k04_buttercup10012 @ X81 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[944]) ).

thf(1047,plain,
    ( ( ! [X80: $i] :
          ( ~ ( k04_buttercup10153 @ X80 )
          | ( k04_buttercup10012 @ X80 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[945]) ).

thf(1048,plain,
    ( ( ! [X79: $i] :
          ( ~ ( k04_buttercup10147 @ X79 )
          | ( k04_buttercup10012 @ X79 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[946]) ).

thf(1049,plain,
    ( ( ! [X78: $i] :
          ( ~ ( k04_buttercup10139 @ X78 )
          | ( k04_buttercup10012 @ X78 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[947]) ).

thf(1050,plain,
    ( ( ! [X77: $i] :
          ( ~ ( k04_buttercup10135 @ X77 )
          | ( k04_buttercup10012 @ X77 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[948]) ).

thf(1051,plain,
    ( ( ! [X76: $i] :
          ( ~ ( k04_buttercup10132 @ X76 )
          | ( k04_buttercup10012 @ X76 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[949]) ).

thf(1052,plain,
    ( ( ! [X75: $i] :
          ( ~ ( k04_buttercup10125 @ X75 )
          | ( k04_buttercup10012 @ X75 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[950]) ).

thf(1053,plain,
    ( ( ! [X74: $i] :
          ( ~ ( k04_buttercup10117 @ X74 )
          | ( k04_buttercup10012 @ X74 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[951]) ).

thf(1054,plain,
    ( ( ! [X73: $i] :
          ( ~ ( k04_buttercup10100 @ X73 )
          | ( k04_buttercup10012 @ X73 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[952]) ).

thf(1055,plain,
    ( ( ! [X72: $i] :
          ( ~ ( k04_buttercup10095 @ X72 )
          | ( k04_buttercup10012 @ X72 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[953]) ).

thf(1056,plain,
    ( ( ! [X71: $i] :
          ( ~ ( k04_buttercup10089 @ X71 )
          | ( k04_buttercup10012 @ X71 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[954]) ).

thf(1057,plain,
    ( ( ! [X70: $i] :
          ( ~ ( k04_buttercup10084 @ X70 )
          | ( k04_buttercup10012 @ X70 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[955]) ).

thf(1058,plain,
    ( ( ! [X69: $i] :
          ( ~ ( k04_buttercup10079 @ X69 )
          | ( k04_buttercup10012 @ X69 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[956]) ).

thf(1059,plain,
    ( ( ! [X68: $i] :
          ( ~ ( k04_buttercup10057 @ X68 )
          | ( k04_buttercup10012 @ X68 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[957]) ).

thf(1060,plain,
    ( ( ! [X67: $i] :
          ( ~ ( k04_buttercup10053 @ X67 )
          | ( k04_buttercup10012 @ X67 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[958]) ).

thf(1061,plain,
    ( ( ! [X66: $i] :
          ( ~ ( k04_buttercup10048 @ X66 )
          | ( k04_buttercup10012 @ X66 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[959]) ).

thf(1062,plain,
    ( ( ! [X65: $i] :
          ( ~ ( k04_buttercup10039 @ X65 )
          | ( k04_buttercup10012 @ X65 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[960]) ).

thf(1063,plain,
    ( ( ! [X64: $i] :
          ( ~ ( k04_buttercup10026 @ X64 )
          | ( k04_buttercup10012 @ X64 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[961]) ).

thf(1064,plain,
    ( ( ! [X63: $i] :
          ( ~ ( k04_buttercup10016 @ X63 )
          | ( k04_buttercup10012 @ X63 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[962]) ).

thf(1065,plain,
    ( ( ! [X62: $i] :
          ( ~ ( k04_buttercup10356 @ X62 )
          | ( k04_buttercup10012 @ X62 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[963]) ).

thf(1066,plain,
    ( ( ! [X61: $i] :
          ( ~ ( k04_buttercup10337 @ X61 )
          | ( k04_buttercup10012 @ X61 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[964]) ).

thf(1067,plain,
    ( ( ! [X60: $i] :
          ( ~ ( k04_buttercup10333 @ X60 )
          | ( k04_buttercup10012 @ X60 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[965]) ).

thf(1068,plain,
    ( ( ! [X59: $i] :
          ( ~ ( k04_buttercup10329 @ X59 )
          | ( k04_buttercup10012 @ X59 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[966]) ).

thf(1069,plain,
    ( ( ! [X58: $i] :
          ( ~ ( k04_buttercup10325 @ X58 )
          | ( k04_buttercup10012 @ X58 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[967]) ).

thf(1070,plain,
    ( ( ! [X57: $i] :
          ( ~ ( k04_buttercup10316 @ X57 )
          | ( k04_buttercup10012 @ X57 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[968]) ).

thf(1071,plain,
    ( ( ! [X56: $i] :
          ( ~ ( k04_buttercup10312 @ X56 )
          | ( k04_buttercup10012 @ X56 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[969]) ).

thf(1072,plain,
    ( ( ! [X54: $i] :
          ( ~ ( k04_buttercup10293 @ X54 )
          | ( k04_buttercup10012 @ X54 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[970]) ).

thf(1073,plain,
    ( ( ! [X53: $i] :
          ( ~ ( k04_buttercup10282 @ X53 )
          | ( k04_buttercup10012 @ X53 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[971]) ).

thf(1074,plain,
    ( ( ! [X52: $i] :
          ( ~ ( k04_buttercup10252 @ X52 )
          | ( k04_buttercup10012 @ X52 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[972]) ).

thf(1075,plain,
    ( ( ! [X51: $i] :
          ( ~ ( k04_buttercup10244 @ X51 )
          | ( k04_buttercup10012 @ X51 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[973]) ).

thf(1076,plain,
    ( ( ! [X50: $i] :
          ( ~ ( k04_buttercup10234 @ X50 )
          | ( k04_buttercup10012 @ X50 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[974]) ).

thf(1077,plain,
    ( ( ! [X49: $i] :
          ( ~ ( k04_buttercup10225 @ X49 )
          | ( k04_buttercup10012 @ X49 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[975]) ).

thf(1078,plain,
    ( ( ! [X48: $i] :
          ( ~ ( k04_buttercup10221 @ X48 )
          | ( k04_buttercup10012 @ X48 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[976]) ).

thf(1079,plain,
    ( ( ! [X47: $i] :
          ( ~ ( k04_buttercup10204 @ X47 )
          | ( k04_buttercup10012 @ X47 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[977]) ).

thf(1080,plain,
    ( ( ! [X46: $i] :
          ( ~ ( k04_buttercup10200 @ X46 )
          | ( k04_buttercup10012 @ X46 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[978]) ).

thf(1081,plain,
    ( ( ! [X45: $i] :
          ( ~ ( k04_buttercup10190 @ X45 )
          | ( k04_buttercup10012 @ X45 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[979]) ).

thf(1082,plain,
    ( ( ! [X44: $i] :
          ( ~ ( k04_buttercup10184 @ X44 )
          | ( k04_buttercup10012 @ X44 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[980]) ).

thf(1083,plain,
    ( ( b48_buttercup10305 @ sK12_X918 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[981]) ).

thf(1084,plain,
    ( ( k04_buttercup10303 @ sK13_X747 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[982]) ).

thf(1085,plain,
    ( ( ! [X619: $i] :
          ( ~ ( b48_buttercup10308 @ X619 )
          | ( k04_buttercup10303 @ X619 ) )
      & ( k04_buttercup10303 @ sK14_X620 )
      & ~ ( b48_buttercup10308 @ sK14_X620 ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[983]) ).

thf(1086,plain,
    ( ( ! [X323: $i] :
          ( ~ ( b48_buttercup10307 @ X323 )
          | ( k04_buttercup10303 @ X323 ) )
      & ( k04_buttercup10303 @ sK15_X324 )
      & ~ ( b48_buttercup10307 @ sK15_X324 ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[984]) ).

thf(1087,plain,
    ( ( ! [X322: $i] :
          ( ~ ( b48_buttercup10300 @ X322 )
          | ( k04_buttercup10303 @ X322 ) )
      & ! [X322: $i] :
          ( ~ ( k04_buttercup10303 @ X322 )
          | ( b48_buttercup10300 @ X322 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[985]) ).

thf(1088,plain,
    ( ( ! [X319: $i] :
          ( ~ ( b48_buttercup10305 @ X319 )
          | ( k04_buttercup10303 @ X319 ) )
      & ( k04_buttercup10303 @ sK16_X320 )
      & ~ ( b48_buttercup10305 @ sK16_X320 ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[986]) ).

thf(1089,plain,
    ( ( ! [X131: $i] :
          ( ~ ( b48_buttercup10305 @ X131 )
          | ( b48_buttercup10300 @ X131 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[987]) ).

thf(1090,plain,
    ( ( ! [X55: $i] :
          ( ~ ( k04_buttercup10303 @ X55 )
          | ( k04_buttercup10012 @ X55 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[988]) ).

thf(1091,plain,
    ( ( ! [X55: $i] :
          ( ~ ( k04_buttercup10303 @ X55 )
          | ( k04_buttercup10012 @ X55 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1090]) ).

thf(1092,plain,
    ( ( ! [X131: $i] :
          ( ~ ( b48_buttercup10305 @ X131 )
          | ( b48_buttercup10300 @ X131 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1089]) ).

thf(1093,plain,
    ( ( ! [X319: $i] :
          ( ~ ( b48_buttercup10305 @ X319 )
          | ( k04_buttercup10303 @ X319 ) )
      & ( k04_buttercup10303 @ sK16_X320 )
      & ~ ( b48_buttercup10305 @ sK16_X320 ) )
    = $true ),
    inference(copy,[status(thm)],[1088]) ).

thf(1094,plain,
    ( ( ! [X322: $i] :
          ( ~ ( b48_buttercup10300 @ X322 )
          | ( k04_buttercup10303 @ X322 ) )
      & ! [X322: $i] :
          ( ~ ( k04_buttercup10303 @ X322 )
          | ( b48_buttercup10300 @ X322 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1087]) ).

thf(1095,plain,
    ( ( ! [X323: $i] :
          ( ~ ( b48_buttercup10307 @ X323 )
          | ( k04_buttercup10303 @ X323 ) )
      & ( k04_buttercup10303 @ sK15_X324 )
      & ~ ( b48_buttercup10307 @ sK15_X324 ) )
    = $true ),
    inference(copy,[status(thm)],[1086]) ).

thf(1096,plain,
    ( ( ! [X619: $i] :
          ( ~ ( b48_buttercup10308 @ X619 )
          | ( k04_buttercup10303 @ X619 ) )
      & ( k04_buttercup10303 @ sK14_X620 )
      & ~ ( b48_buttercup10308 @ sK14_X620 ) )
    = $true ),
    inference(copy,[status(thm)],[1085]) ).

thf(1097,plain,
    ( ( k04_buttercup10303 @ sK13_X747 )
    = $true ),
    inference(copy,[status(thm)],[1084]) ).

thf(1098,plain,
    ( ( b48_buttercup10305 @ sK12_X918 )
    = $true ),
    inference(copy,[status(thm)],[1083]) ).

thf(1099,plain,
    ( ( ! [X44: $i] :
          ( ~ ( k04_buttercup10184 @ X44 )
          | ( k04_buttercup10012 @ X44 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1082]) ).

thf(1100,plain,
    ( ( ! [X45: $i] :
          ( ~ ( k04_buttercup10190 @ X45 )
          | ( k04_buttercup10012 @ X45 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1081]) ).

thf(1101,plain,
    ( ( ! [X46: $i] :
          ( ~ ( k04_buttercup10200 @ X46 )
          | ( k04_buttercup10012 @ X46 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1080]) ).

thf(1102,plain,
    ( ( ! [X47: $i] :
          ( ~ ( k04_buttercup10204 @ X47 )
          | ( k04_buttercup10012 @ X47 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1079]) ).

thf(1103,plain,
    ( ( ! [X48: $i] :
          ( ~ ( k04_buttercup10221 @ X48 )
          | ( k04_buttercup10012 @ X48 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1078]) ).

thf(1104,plain,
    ( ( ! [X49: $i] :
          ( ~ ( k04_buttercup10225 @ X49 )
          | ( k04_buttercup10012 @ X49 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1077]) ).

thf(1105,plain,
    ( ( ! [X50: $i] :
          ( ~ ( k04_buttercup10234 @ X50 )
          | ( k04_buttercup10012 @ X50 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1076]) ).

thf(1106,plain,
    ( ( ! [X51: $i] :
          ( ~ ( k04_buttercup10244 @ X51 )
          | ( k04_buttercup10012 @ X51 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1075]) ).

thf(1107,plain,
    ( ( ! [X52: $i] :
          ( ~ ( k04_buttercup10252 @ X52 )
          | ( k04_buttercup10012 @ X52 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1074]) ).

thf(1108,plain,
    ( ( ! [X53: $i] :
          ( ~ ( k04_buttercup10282 @ X53 )
          | ( k04_buttercup10012 @ X53 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1073]) ).

thf(1109,plain,
    ( ( ! [X54: $i] :
          ( ~ ( k04_buttercup10293 @ X54 )
          | ( k04_buttercup10012 @ X54 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1072]) ).

thf(1110,plain,
    ( ( ! [X56: $i] :
          ( ~ ( k04_buttercup10312 @ X56 )
          | ( k04_buttercup10012 @ X56 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1071]) ).

thf(1111,plain,
    ( ( ! [X57: $i] :
          ( ~ ( k04_buttercup10316 @ X57 )
          | ( k04_buttercup10012 @ X57 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1070]) ).

thf(1112,plain,
    ( ( ! [X58: $i] :
          ( ~ ( k04_buttercup10325 @ X58 )
          | ( k04_buttercup10012 @ X58 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1069]) ).

thf(1113,plain,
    ( ( ! [X59: $i] :
          ( ~ ( k04_buttercup10329 @ X59 )
          | ( k04_buttercup10012 @ X59 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1068]) ).

thf(1114,plain,
    ( ( ! [X60: $i] :
          ( ~ ( k04_buttercup10333 @ X60 )
          | ( k04_buttercup10012 @ X60 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1067]) ).

thf(1115,plain,
    ( ( ! [X61: $i] :
          ( ~ ( k04_buttercup10337 @ X61 )
          | ( k04_buttercup10012 @ X61 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1066]) ).

thf(1116,plain,
    ( ( ! [X62: $i] :
          ( ~ ( k04_buttercup10356 @ X62 )
          | ( k04_buttercup10012 @ X62 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1065]) ).

thf(1117,plain,
    ( ( ! [X63: $i] :
          ( ~ ( k04_buttercup10016 @ X63 )
          | ( k04_buttercup10012 @ X63 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1064]) ).

thf(1118,plain,
    ( ( ! [X64: $i] :
          ( ~ ( k04_buttercup10026 @ X64 )
          | ( k04_buttercup10012 @ X64 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1063]) ).

thf(1119,plain,
    ( ( ! [X65: $i] :
          ( ~ ( k04_buttercup10039 @ X65 )
          | ( k04_buttercup10012 @ X65 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1062]) ).

thf(1120,plain,
    ( ( ! [X66: $i] :
          ( ~ ( k04_buttercup10048 @ X66 )
          | ( k04_buttercup10012 @ X66 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1061]) ).

thf(1121,plain,
    ( ( ! [X67: $i] :
          ( ~ ( k04_buttercup10053 @ X67 )
          | ( k04_buttercup10012 @ X67 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1060]) ).

thf(1122,plain,
    ( ( ! [X68: $i] :
          ( ~ ( k04_buttercup10057 @ X68 )
          | ( k04_buttercup10012 @ X68 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1059]) ).

thf(1123,plain,
    ( ( ! [X69: $i] :
          ( ~ ( k04_buttercup10079 @ X69 )
          | ( k04_buttercup10012 @ X69 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1058]) ).

thf(1124,plain,
    ( ( ! [X70: $i] :
          ( ~ ( k04_buttercup10084 @ X70 )
          | ( k04_buttercup10012 @ X70 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1057]) ).

thf(1125,plain,
    ( ( ! [X71: $i] :
          ( ~ ( k04_buttercup10089 @ X71 )
          | ( k04_buttercup10012 @ X71 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1056]) ).

thf(1126,plain,
    ( ( ! [X72: $i] :
          ( ~ ( k04_buttercup10095 @ X72 )
          | ( k04_buttercup10012 @ X72 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1055]) ).

thf(1127,plain,
    ( ( ! [X73: $i] :
          ( ~ ( k04_buttercup10100 @ X73 )
          | ( k04_buttercup10012 @ X73 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1054]) ).

thf(1128,plain,
    ( ( ! [X74: $i] :
          ( ~ ( k04_buttercup10117 @ X74 )
          | ( k04_buttercup10012 @ X74 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1053]) ).

thf(1129,plain,
    ( ( ! [X75: $i] :
          ( ~ ( k04_buttercup10125 @ X75 )
          | ( k04_buttercup10012 @ X75 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1052]) ).

thf(1130,plain,
    ( ( ! [X76: $i] :
          ( ~ ( k04_buttercup10132 @ X76 )
          | ( k04_buttercup10012 @ X76 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1051]) ).

thf(1131,plain,
    ( ( ! [X77: $i] :
          ( ~ ( k04_buttercup10135 @ X77 )
          | ( k04_buttercup10012 @ X77 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1050]) ).

thf(1132,plain,
    ( ( ! [X78: $i] :
          ( ~ ( k04_buttercup10139 @ X78 )
          | ( k04_buttercup10012 @ X78 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1049]) ).

thf(1133,plain,
    ( ( ! [X79: $i] :
          ( ~ ( k04_buttercup10147 @ X79 )
          | ( k04_buttercup10012 @ X79 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1048]) ).

thf(1134,plain,
    ( ( ! [X80: $i] :
          ( ~ ( k04_buttercup10153 @ X80 )
          | ( k04_buttercup10012 @ X80 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1047]) ).

thf(1135,plain,
    ( ( ! [X81: $i] :
          ( ~ ( k04_buttercup10164 @ X81 )
          | ( k04_buttercup10012 @ X81 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1046]) ).

thf(1136,plain,
    ( ( ! [X82: $i] :
          ( ~ ( k04_buttercup10172 @ X82 )
          | ( k04_buttercup10012 @ X82 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1045]) ).

thf(1137,plain,
    ( ( ! [X83: $i] :
          ( ~ ( k04_buttercup10181 @ X83 )
          | ( k04_buttercup10012 @ X83 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1044]) ).

thf(1138,plain,
    ( ( ! [X84: $i] :
          ( ~ ( k04_buttercup10364 @ X84 )
          | ( k04_buttercup10012 @ X84 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1043]) ).

thf(1139,plain,
    ( ( ! [X85: $i] :
          ( ~ ( k04_buttercup10369 @ X85 )
          | ( k04_buttercup10012 @ X85 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1042]) ).

thf(1140,plain,
    ( ( ! [X86: $i] :
          ( ~ ( k04_buttercup10380 @ X86 )
          | ( k04_buttercup10012 @ X86 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1041]) ).

thf(1141,plain,
    ( ( ! [X87: $i] :
          ( ~ ( k04_buttercup10382 @ X87 )
          | ( k04_buttercup10012 @ X87 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1040]) ).

thf(1142,plain,
    ( ( ! [X88: $i] :
          ( ~ ( k04_buttercup10385 @ X88 )
          | ( k04_buttercup10012 @ X88 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1039]) ).

thf(1143,plain,
    ( ( ! [X89: $i] :
          ( ~ ( k04_buttercup10389 @ X89 )
          | ( k04_buttercup10012 @ X89 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1038]) ).

thf(1144,plain,
    ( ( ! [X90: $i] :
          ( ~ ( k04_buttercup10391 @ X90 )
          | ( k04_buttercup10012 @ X90 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1037]) ).

thf(1145,plain,
    ( ( ! [X91: $i] :
          ( ~ ( k04_buttercup10397 @ X91 )
          | ( k04_buttercup10012 @ X91 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1036]) ).

thf(1146,plain,
    ( ( ! [X92: $i] :
          ( ~ ( k04_buttercup10400 @ X92 )
          | ( k04_buttercup10012 @ X92 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1035]) ).

thf(1147,plain,
    ( ( ! [X93: $i] :
          ( ~ ( k04_buttercup10404 @ X93 )
          | ( k04_buttercup10012 @ X93 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1034]) ).

thf(1148,plain,
    ( ( ! [X94: $i] :
          ( ~ ( k04_buttercup10415 @ X94 )
          | ( k04_buttercup10012 @ X94 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1033]) ).

thf(1149,plain,
    ( ( ! [X95: $i] :
          ( ~ ( k04_buttercup10419 @ X95 )
          | ( k04_buttercup10012 @ X95 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1032]) ).

thf(1150,plain,
    ( ( ! [X96: $i] :
          ( ~ ( k04_buttercup10424 @ X96 )
          | ( k04_buttercup10012 @ X96 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1031]) ).

thf(1151,plain,
    ( ( ! [X97: $i] :
          ( ~ ( k04_buttercup10430 @ X97 )
          | ( k04_buttercup10012 @ X97 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1030]) ).

thf(1152,plain,
    ( ( ! [X98: $i] :
          ( ~ ( k04_buttercup10437 @ X98 )
          | ( k04_buttercup10012 @ X98 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1029]) ).

thf(1153,plain,
    ( ( ! [X99: $i] :
          ( ~ ( k04_buttercup10445 @ X99 )
          | ( k04_buttercup10012 @ X99 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1028]) ).

thf(1154,plain,
    ( ( ! [X100: $i] :
          ( ~ ( k04_buttercup10449 @ X100 )
          | ( k04_buttercup10012 @ X100 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1027]) ).

thf(1155,plain,
    ( ( ! [X101: $i] :
          ( ~ ( k04_buttercup10470 @ X101 )
          | ( k04_buttercup10012 @ X101 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1026]) ).

thf(1156,plain,
    ( ( ! [X102: $i] :
          ( ~ ( k04_buttercup10473 @ X102 )
          | ( k04_buttercup10012 @ X102 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1025]) ).

thf(1157,plain,
    ( ( ! [X103: $i] :
          ( ~ ( k04_buttercup10477 @ X103 )
          | ( k04_buttercup10012 @ X103 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1024]) ).

thf(1158,plain,
    ( ( ! [X104: $i] :
          ( ~ ( k04_buttercup10492 @ X104 )
          | ( k04_buttercup10012 @ X104 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1023]) ).

thf(1159,plain,
    ( ( ! [X105: $i] :
          ( ~ ( k04_buttercup10495 @ X105 )
          | ( k04_buttercup10012 @ X105 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1022]) ).

thf(1160,plain,
    ( ( ! [X106: $i] :
          ( ~ ( k04_buttercup10499 @ X106 )
          | ( k04_buttercup10012 @ X106 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1021]) ).

thf(1161,plain,
    ( ( ! [X107: $i] :
          ( ~ ( k04_buttercup10504 @ X107 )
          | ( k04_buttercup10012 @ X107 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1020]) ).

thf(1162,plain,
    ( ( ! [X108: $i] :
          ( ~ ( k04_buttercup10510 @ X108 )
          | ( k04_buttercup10012 @ X108 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1019]) ).

thf(1163,plain,
    ( ( ! [X109: $i] :
          ( ~ ( k04_buttercup10516 @ X109 )
          | ( k04_buttercup10012 @ X109 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1018]) ).

thf(1164,plain,
    ( ( ! [X110: $i] :
          ( ~ ( k04_buttercup10524 @ X110 )
          | ( k04_buttercup10012 @ X110 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1017]) ).

thf(1165,plain,
    ( ( ! [X111: $i] :
          ( ~ ( k04_buttercup10529 @ X111 )
          | ( k04_buttercup10012 @ X111 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1016]) ).

thf(1166,plain,
    ( ( ! [X112: $i] :
          ( ~ ( k04_buttercup10535 @ X112 )
          | ( k04_buttercup10012 @ X112 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1015]) ).

thf(1167,plain,
    ( ( ! [X113: $i] :
          ( ~ ( k04_buttercup10544 @ X113 )
          | ( k04_buttercup10012 @ X113 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1014]) ).

thf(1168,plain,
    ( ( ! [X114: $i] :
          ( ~ ( k04_buttercup10551 @ X114 )
          | ( k04_buttercup10012 @ X114 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1013]) ).

thf(1169,plain,
    ( ( ! [X115: $i] :
          ( ~ ( k04_buttercup10555 @ X115 )
          | ( k04_buttercup10012 @ X115 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1012]) ).

thf(1170,plain,
    ( ( ! [X116: $i] :
          ( ~ ( k04_buttercup10567 @ X116 )
          | ( k04_buttercup10012 @ X116 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1011]) ).

thf(1171,plain,
    ( ( ! [X117: $i] :
          ( ~ ( k04_buttercup10578 @ X117 )
          | ( k04_buttercup10012 @ X117 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1010]) ).

thf(1172,plain,
    ( ( ! [X118: $i] :
          ( ~ ( k04_buttercup10581 @ X118 )
          | ( k04_buttercup10012 @ X118 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1009]) ).

thf(1173,plain,
    ( ( ! [X119: $i] :
          ( ~ ( k04_buttercup10586 @ X119 )
          | ( k04_buttercup10012 @ X119 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1008]) ).

thf(1174,plain,
    ( ( ! [X120: $i] :
          ( ~ ( k04_buttercup10593 @ X120 )
          | ( k04_buttercup10012 @ X120 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1007]) ).

thf(1175,plain,
    ( ( ! [X121: $i] :
          ( ~ ( k04_buttercup10608 @ X121 )
          | ( k04_buttercup10012 @ X121 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1006]) ).

thf(1176,plain,
    ( ( ! [X122: $i] :
          ( ~ ( k04_buttercup10611 @ X122 )
          | ( k04_buttercup10012 @ X122 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1005]) ).

thf(1177,plain,
    ( ( ! [X123: $i] :
          ( ~ ( k04_buttercup10619 @ X123 )
          | ( k04_buttercup10012 @ X123 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1004]) ).

thf(1178,plain,
    ( ( ! [X124: $i] :
          ( ~ ( k04_buttercup10626 @ X124 )
          | ( k04_buttercup10012 @ X124 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1003]) ).

thf(1179,plain,
    ( ( ! [X125: $i] :
          ( ~ ( k04_buttercup10628 @ X125 )
          | ( k04_buttercup10012 @ X125 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1002]) ).

thf(1180,plain,
    ( ( ! [X126: $i] :
          ( ~ ( k04_buttercup10631 @ X126 )
          | ( k04_buttercup10012 @ X126 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1001]) ).

thf(1181,plain,
    ( ( ! [X127: $i] :
          ( ~ ( k04_buttercup10635 @ X127 )
          | ( k04_buttercup10012 @ X127 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1000]) ).

thf(1182,plain,
    ( ( ! [X128: $i] :
          ( ~ ( k04_buttercup10643 @ X128 )
          | ( k04_buttercup10012 @ X128 ) ) )
    = $true ),
    inference(copy,[status(thm)],[999]) ).

thf(1183,plain,
    ( ( ! [X132: $i] :
          ( ~ ( b48_buttercup10307 @ X132 )
          | ( b48_buttercup10300 @ X132 ) ) )
    = $true ),
    inference(copy,[status(thm)],[998]) ).

thf(1184,plain,
    ( ( ! [X133: $i] :
          ( ~ ( b48_buttercup10308 @ X133 )
          | ( b48_buttercup10300 @ X133 ) ) )
    = $true ),
    inference(copy,[status(thm)],[997]) ).

thf(1185,plain,
    ( ( ! [X236: $i] :
          ( ~ ( b48_buttercup10300 @ X236 )
          | ( b48_buttercup10007 @ X236 ) ) )
    = $true ),
    inference(copy,[status(thm)],[996]) ).

thf(1186,plain,
    ( ( ! [X521: $i] :
          ( ~ ( k04_buttercup10012 @ X521 )
          | ( b48_buttercup10007 @ X521 ) )
      & ( b48_buttercup10007 @ sK11_X522 )
      & ~ ( k04_buttercup10012 @ sK11_X522 ) )
    = $true ),
    inference(copy,[status(thm)],[995]) ).

thf(1187,plain,
    ( ( k04_buttercup10012 @ sK10_X755 )
    = $true ),
    inference(copy,[status(thm)],[994]) ).

thf(1188,plain,
    ( ( b48_buttercup10307 @ sK9_X916 )
    = $true ),
    inference(copy,[status(thm)],[993]) ).

thf(1189,plain,
    ( ( b48_buttercup10300 @ sK8_X1026 )
    = $true ),
    inference(copy,[status(thm)],[992]) ).

thf(1190,plain,
    ( ( b48_buttercup10308 @ sK7_X1053 )
    = $true ),
    inference(copy,[status(thm)],[991]) ).

thf(1191,plain,
    ( ( ( b48_buttercup10305 @ sK4_X1060 )
      & ( k04_buttercup10303 @ sK4_X1060 )
      & ( sK6_REN
        | ! [X1059: $i] :
            ( ~ ( k04_buttercup10303 @ X1059 )
            | ( b48_buttercup10305 @ X1059 ) ) )
      & ( sK6_REN
       => ( ( b48_buttercup10305 @ sK3_X1058 )
          & ~ ( k04_buttercup10303 @ sK3_X1058 ) ) )
      & ( ~ ( b48_buttercup10305 @ sK2_X1055 )
        | ~ ( k04_buttercup10303 @ sK2_X1055 ) )
      & ( ( b48_buttercup10305 @ sK2_X1055 )
        | ( k04_buttercup10303 @ sK2_X1055 ) )
      & ( sK5_REN
        | ! [X1057: $i] :
            ( ~ ( b48_buttercup10305 @ X1057 )
            | ( k04_buttercup10303 @ X1057 ) ) )
      & ( sK5_REN
       => ( ( k04_buttercup10303 @ sK1_X1056 )
          & ~ ( b48_buttercup10305 @ sK1_X1056 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[990]) ).

thf(1192,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( b48_buttercup10308 @ SX0 )
                | ( k04_buttercup10303 @ SX0 ) )
          | ~ ~ ( ~ ( k04_buttercup10303 @ sK14_X620 )
                | ~ ~ ( b48_buttercup10308 @ sK14_X620 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1096]) ).

thf(1193,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( b48_buttercup10300 @ SX0 )
                | ( k04_buttercup10303 @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( k04_buttercup10303 @ SX0 )
                | ( b48_buttercup10300 @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1094]) ).

thf(1194,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( k04_buttercup10012 @ SX0 )
                | ( b48_buttercup10007 @ SX0 ) )
          | ~ ~ ( ~ ( b48_buttercup10007 @ sK11_X522 )
                | ~ ~ ( k04_buttercup10012 @ sK11_X522 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1186]) ).

thf(1195,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( b48_buttercup10307 @ SX0 )
                | ( k04_buttercup10303 @ SX0 ) )
          | ~ ~ ( ~ ( k04_buttercup10303 @ sK15_X324 )
                | ~ ~ ( b48_buttercup10307 @ sK15_X324 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1095]) ).

thf(1196,plain,
    ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10305 @ sK4_X1060 )
                | ~ ( k04_buttercup10303 @ sK4_X1060 ) )
          | ~ ~ ( ~ ~ ( ~ ( sK6_REN
                          | ! [SX0: $i] :
                              ( ~ ( k04_buttercup10303 @ SX0 )
                              | ( b48_buttercup10305 @ SX0 ) ) )
                      | ~ ( ~ sK6_REN
                          | ~ ( ~ ( b48_buttercup10305 @ sK3_X1058 )
                              | ~ ~ ( k04_buttercup10303 @ sK3_X1058 ) ) ) )
                | ~ ~ ( ~ ~ ( ~ ( ~ ( b48_buttercup10305 @ sK2_X1055 )
                                | ~ ( k04_buttercup10303 @ sK2_X1055 ) )
                            | ~ ( ( b48_buttercup10305 @ sK2_X1055 )
                                | ( k04_buttercup10303 @ sK2_X1055 ) ) )
                      | ~ ~ ( ~ ( sK5_REN
                                | ! [SX0: $i] :
                                    ( ~ ( b48_buttercup10305 @ SX0 )
                                    | ( k04_buttercup10303 @ SX0 ) ) )
                            | ~ ( ~ sK5_REN
                                | ~ ( ~ ( k04_buttercup10303 @ sK1_X1056 )
                                    | ~ ~ ( b48_buttercup10305 @ sK1_X1056 ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1191]) ).

thf(1197,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( b48_buttercup10305 @ SX0 )
                | ( k04_buttercup10303 @ SX0 ) )
          | ~ ~ ( ~ ( k04_buttercup10303 @ sK16_X320 )
                | ~ ~ ( b48_buttercup10305 @ sK16_X320 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1093]) ).

thf(1198,plain,
    ! [SV1: $i] :
      ( ( ~ ( k04_buttercup10303 @ SV1 )
        | ( k04_buttercup10012 @ SV1 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1091]) ).

thf(1199,plain,
    ! [SV2: $i] :
      ( ( ~ ( b48_buttercup10305 @ SV2 )
        | ( b48_buttercup10300 @ SV2 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1092]) ).

thf(1200,plain,
    ! [SV3: $i] :
      ( ( ~ ( k04_buttercup10184 @ SV3 )
        | ( k04_buttercup10012 @ SV3 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1099]) ).

thf(1201,plain,
    ! [SV4: $i] :
      ( ( ~ ( k04_buttercup10190 @ SV4 )
        | ( k04_buttercup10012 @ SV4 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1100]) ).

thf(1202,plain,
    ! [SV5: $i] :
      ( ( ~ ( k04_buttercup10200 @ SV5 )
        | ( k04_buttercup10012 @ SV5 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1101]) ).

thf(1203,plain,
    ! [SV6: $i] :
      ( ( ~ ( k04_buttercup10204 @ SV6 )
        | ( k04_buttercup10012 @ SV6 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1102]) ).

thf(1204,plain,
    ! [SV7: $i] :
      ( ( ~ ( k04_buttercup10221 @ SV7 )
        | ( k04_buttercup10012 @ SV7 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1103]) ).

thf(1205,plain,
    ! [SV8: $i] :
      ( ( ~ ( k04_buttercup10225 @ SV8 )
        | ( k04_buttercup10012 @ SV8 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1104]) ).

thf(1206,plain,
    ! [SV9: $i] :
      ( ( ~ ( k04_buttercup10234 @ SV9 )
        | ( k04_buttercup10012 @ SV9 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1105]) ).

thf(1207,plain,
    ! [SV10: $i] :
      ( ( ~ ( k04_buttercup10244 @ SV10 )
        | ( k04_buttercup10012 @ SV10 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1106]) ).

thf(1208,plain,
    ! [SV11: $i] :
      ( ( ~ ( k04_buttercup10252 @ SV11 )
        | ( k04_buttercup10012 @ SV11 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1107]) ).

thf(1209,plain,
    ! [SV12: $i] :
      ( ( ~ ( k04_buttercup10282 @ SV12 )
        | ( k04_buttercup10012 @ SV12 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1108]) ).

thf(1210,plain,
    ! [SV13: $i] :
      ( ( ~ ( k04_buttercup10293 @ SV13 )
        | ( k04_buttercup10012 @ SV13 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1109]) ).

thf(1211,plain,
    ! [SV14: $i] :
      ( ( ~ ( k04_buttercup10312 @ SV14 )
        | ( k04_buttercup10012 @ SV14 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1110]) ).

thf(1212,plain,
    ! [SV15: $i] :
      ( ( ~ ( k04_buttercup10316 @ SV15 )
        | ( k04_buttercup10012 @ SV15 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1111]) ).

thf(1213,plain,
    ! [SV16: $i] :
      ( ( ~ ( k04_buttercup10325 @ SV16 )
        | ( k04_buttercup10012 @ SV16 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1112]) ).

thf(1214,plain,
    ! [SV17: $i] :
      ( ( ~ ( k04_buttercup10329 @ SV17 )
        | ( k04_buttercup10012 @ SV17 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1113]) ).

thf(1215,plain,
    ! [SV18: $i] :
      ( ( ~ ( k04_buttercup10333 @ SV18 )
        | ( k04_buttercup10012 @ SV18 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1114]) ).

thf(1216,plain,
    ! [SV19: $i] :
      ( ( ~ ( k04_buttercup10337 @ SV19 )
        | ( k04_buttercup10012 @ SV19 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1115]) ).

thf(1217,plain,
    ! [SV20: $i] :
      ( ( ~ ( k04_buttercup10356 @ SV20 )
        | ( k04_buttercup10012 @ SV20 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1116]) ).

thf(1218,plain,
    ! [SV21: $i] :
      ( ( ~ ( k04_buttercup10016 @ SV21 )
        | ( k04_buttercup10012 @ SV21 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1117]) ).

thf(1219,plain,
    ! [SV22: $i] :
      ( ( ~ ( k04_buttercup10026 @ SV22 )
        | ( k04_buttercup10012 @ SV22 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1118]) ).

thf(1220,plain,
    ! [SV23: $i] :
      ( ( ~ ( k04_buttercup10039 @ SV23 )
        | ( k04_buttercup10012 @ SV23 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1119]) ).

thf(1221,plain,
    ! [SV24: $i] :
      ( ( ~ ( k04_buttercup10048 @ SV24 )
        | ( k04_buttercup10012 @ SV24 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1120]) ).

thf(1222,plain,
    ! [SV25: $i] :
      ( ( ~ ( k04_buttercup10053 @ SV25 )
        | ( k04_buttercup10012 @ SV25 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1121]) ).

thf(1223,plain,
    ! [SV26: $i] :
      ( ( ~ ( k04_buttercup10057 @ SV26 )
        | ( k04_buttercup10012 @ SV26 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1122]) ).

thf(1224,plain,
    ! [SV27: $i] :
      ( ( ~ ( k04_buttercup10079 @ SV27 )
        | ( k04_buttercup10012 @ SV27 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1123]) ).

thf(1225,plain,
    ! [SV28: $i] :
      ( ( ~ ( k04_buttercup10084 @ SV28 )
        | ( k04_buttercup10012 @ SV28 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1124]) ).

thf(1226,plain,
    ! [SV29: $i] :
      ( ( ~ ( k04_buttercup10089 @ SV29 )
        | ( k04_buttercup10012 @ SV29 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1125]) ).

thf(1227,plain,
    ! [SV30: $i] :
      ( ( ~ ( k04_buttercup10095 @ SV30 )
        | ( k04_buttercup10012 @ SV30 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1126]) ).

thf(1228,plain,
    ! [SV31: $i] :
      ( ( ~ ( k04_buttercup10100 @ SV31 )
        | ( k04_buttercup10012 @ SV31 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1127]) ).

thf(1229,plain,
    ! [SV32: $i] :
      ( ( ~ ( k04_buttercup10117 @ SV32 )
        | ( k04_buttercup10012 @ SV32 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1128]) ).

thf(1230,plain,
    ! [SV33: $i] :
      ( ( ~ ( k04_buttercup10125 @ SV33 )
        | ( k04_buttercup10012 @ SV33 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1129]) ).

thf(1231,plain,
    ! [SV34: $i] :
      ( ( ~ ( k04_buttercup10132 @ SV34 )
        | ( k04_buttercup10012 @ SV34 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1130]) ).

thf(1232,plain,
    ! [SV35: $i] :
      ( ( ~ ( k04_buttercup10135 @ SV35 )
        | ( k04_buttercup10012 @ SV35 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1131]) ).

thf(1233,plain,
    ! [SV36: $i] :
      ( ( ~ ( k04_buttercup10139 @ SV36 )
        | ( k04_buttercup10012 @ SV36 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1132]) ).

thf(1234,plain,
    ! [SV37: $i] :
      ( ( ~ ( k04_buttercup10147 @ SV37 )
        | ( k04_buttercup10012 @ SV37 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1133]) ).

thf(1235,plain,
    ! [SV38: $i] :
      ( ( ~ ( k04_buttercup10153 @ SV38 )
        | ( k04_buttercup10012 @ SV38 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1134]) ).

thf(1236,plain,
    ! [SV39: $i] :
      ( ( ~ ( k04_buttercup10164 @ SV39 )
        | ( k04_buttercup10012 @ SV39 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1135]) ).

thf(1237,plain,
    ! [SV40: $i] :
      ( ( ~ ( k04_buttercup10172 @ SV40 )
        | ( k04_buttercup10012 @ SV40 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1136]) ).

thf(1238,plain,
    ! [SV41: $i] :
      ( ( ~ ( k04_buttercup10181 @ SV41 )
        | ( k04_buttercup10012 @ SV41 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1137]) ).

thf(1239,plain,
    ! [SV42: $i] :
      ( ( ~ ( k04_buttercup10364 @ SV42 )
        | ( k04_buttercup10012 @ SV42 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1138]) ).

thf(1240,plain,
    ! [SV43: $i] :
      ( ( ~ ( k04_buttercup10369 @ SV43 )
        | ( k04_buttercup10012 @ SV43 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1139]) ).

thf(1241,plain,
    ! [SV44: $i] :
      ( ( ~ ( k04_buttercup10380 @ SV44 )
        | ( k04_buttercup10012 @ SV44 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1140]) ).

thf(1242,plain,
    ! [SV45: $i] :
      ( ( ~ ( k04_buttercup10382 @ SV45 )
        | ( k04_buttercup10012 @ SV45 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1141]) ).

thf(1243,plain,
    ! [SV46: $i] :
      ( ( ~ ( k04_buttercup10385 @ SV46 )
        | ( k04_buttercup10012 @ SV46 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1142]) ).

thf(1244,plain,
    ! [SV47: $i] :
      ( ( ~ ( k04_buttercup10389 @ SV47 )
        | ( k04_buttercup10012 @ SV47 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1143]) ).

thf(1245,plain,
    ! [SV48: $i] :
      ( ( ~ ( k04_buttercup10391 @ SV48 )
        | ( k04_buttercup10012 @ SV48 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1144]) ).

thf(1246,plain,
    ! [SV49: $i] :
      ( ( ~ ( k04_buttercup10397 @ SV49 )
        | ( k04_buttercup10012 @ SV49 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1145]) ).

thf(1247,plain,
    ! [SV50: $i] :
      ( ( ~ ( k04_buttercup10400 @ SV50 )
        | ( k04_buttercup10012 @ SV50 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1146]) ).

thf(1248,plain,
    ! [SV51: $i] :
      ( ( ~ ( k04_buttercup10404 @ SV51 )
        | ( k04_buttercup10012 @ SV51 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1147]) ).

thf(1249,plain,
    ! [SV52: $i] :
      ( ( ~ ( k04_buttercup10415 @ SV52 )
        | ( k04_buttercup10012 @ SV52 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1148]) ).

thf(1250,plain,
    ! [SV53: $i] :
      ( ( ~ ( k04_buttercup10419 @ SV53 )
        | ( k04_buttercup10012 @ SV53 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1149]) ).

thf(1251,plain,
    ! [SV54: $i] :
      ( ( ~ ( k04_buttercup10424 @ SV54 )
        | ( k04_buttercup10012 @ SV54 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1150]) ).

thf(1252,plain,
    ! [SV55: $i] :
      ( ( ~ ( k04_buttercup10430 @ SV55 )
        | ( k04_buttercup10012 @ SV55 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1151]) ).

thf(1253,plain,
    ! [SV56: $i] :
      ( ( ~ ( k04_buttercup10437 @ SV56 )
        | ( k04_buttercup10012 @ SV56 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1152]) ).

thf(1254,plain,
    ! [SV57: $i] :
      ( ( ~ ( k04_buttercup10445 @ SV57 )
        | ( k04_buttercup10012 @ SV57 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1153]) ).

thf(1255,plain,
    ! [SV58: $i] :
      ( ( ~ ( k04_buttercup10449 @ SV58 )
        | ( k04_buttercup10012 @ SV58 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1154]) ).

thf(1256,plain,
    ! [SV59: $i] :
      ( ( ~ ( k04_buttercup10470 @ SV59 )
        | ( k04_buttercup10012 @ SV59 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1155]) ).

thf(1257,plain,
    ! [SV60: $i] :
      ( ( ~ ( k04_buttercup10473 @ SV60 )
        | ( k04_buttercup10012 @ SV60 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1156]) ).

thf(1258,plain,
    ! [SV61: $i] :
      ( ( ~ ( k04_buttercup10477 @ SV61 )
        | ( k04_buttercup10012 @ SV61 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1157]) ).

thf(1259,plain,
    ! [SV62: $i] :
      ( ( ~ ( k04_buttercup10492 @ SV62 )
        | ( k04_buttercup10012 @ SV62 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1158]) ).

thf(1260,plain,
    ! [SV63: $i] :
      ( ( ~ ( k04_buttercup10495 @ SV63 )
        | ( k04_buttercup10012 @ SV63 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1159]) ).

thf(1261,plain,
    ! [SV64: $i] :
      ( ( ~ ( k04_buttercup10499 @ SV64 )
        | ( k04_buttercup10012 @ SV64 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1160]) ).

thf(1262,plain,
    ! [SV65: $i] :
      ( ( ~ ( k04_buttercup10504 @ SV65 )
        | ( k04_buttercup10012 @ SV65 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1161]) ).

thf(1263,plain,
    ! [SV66: $i] :
      ( ( ~ ( k04_buttercup10510 @ SV66 )
        | ( k04_buttercup10012 @ SV66 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1162]) ).

thf(1264,plain,
    ! [SV67: $i] :
      ( ( ~ ( k04_buttercup10516 @ SV67 )
        | ( k04_buttercup10012 @ SV67 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1163]) ).

thf(1265,plain,
    ! [SV68: $i] :
      ( ( ~ ( k04_buttercup10524 @ SV68 )
        | ( k04_buttercup10012 @ SV68 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1164]) ).

thf(1266,plain,
    ! [SV69: $i] :
      ( ( ~ ( k04_buttercup10529 @ SV69 )
        | ( k04_buttercup10012 @ SV69 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1165]) ).

thf(1267,plain,
    ! [SV70: $i] :
      ( ( ~ ( k04_buttercup10535 @ SV70 )
        | ( k04_buttercup10012 @ SV70 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1166]) ).

thf(1268,plain,
    ! [SV71: $i] :
      ( ( ~ ( k04_buttercup10544 @ SV71 )
        | ( k04_buttercup10012 @ SV71 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1167]) ).

thf(1269,plain,
    ! [SV72: $i] :
      ( ( ~ ( k04_buttercup10551 @ SV72 )
        | ( k04_buttercup10012 @ SV72 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1168]) ).

thf(1270,plain,
    ! [SV73: $i] :
      ( ( ~ ( k04_buttercup10555 @ SV73 )
        | ( k04_buttercup10012 @ SV73 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1169]) ).

thf(1271,plain,
    ! [SV74: $i] :
      ( ( ~ ( k04_buttercup10567 @ SV74 )
        | ( k04_buttercup10012 @ SV74 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1170]) ).

thf(1272,plain,
    ! [SV75: $i] :
      ( ( ~ ( k04_buttercup10578 @ SV75 )
        | ( k04_buttercup10012 @ SV75 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1171]) ).

thf(1273,plain,
    ! [SV76: $i] :
      ( ( ~ ( k04_buttercup10581 @ SV76 )
        | ( k04_buttercup10012 @ SV76 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1172]) ).

thf(1274,plain,
    ! [SV77: $i] :
      ( ( ~ ( k04_buttercup10586 @ SV77 )
        | ( k04_buttercup10012 @ SV77 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1173]) ).

thf(1275,plain,
    ! [SV78: $i] :
      ( ( ~ ( k04_buttercup10593 @ SV78 )
        | ( k04_buttercup10012 @ SV78 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1174]) ).

thf(1276,plain,
    ! [SV79: $i] :
      ( ( ~ ( k04_buttercup10608 @ SV79 )
        | ( k04_buttercup10012 @ SV79 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1175]) ).

thf(1277,plain,
    ! [SV80: $i] :
      ( ( ~ ( k04_buttercup10611 @ SV80 )
        | ( k04_buttercup10012 @ SV80 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1176]) ).

thf(1278,plain,
    ! [SV81: $i] :
      ( ( ~ ( k04_buttercup10619 @ SV81 )
        | ( k04_buttercup10012 @ SV81 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1177]) ).

thf(1279,plain,
    ! [SV82: $i] :
      ( ( ~ ( k04_buttercup10626 @ SV82 )
        | ( k04_buttercup10012 @ SV82 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1178]) ).

thf(1280,plain,
    ! [SV83: $i] :
      ( ( ~ ( k04_buttercup10628 @ SV83 )
        | ( k04_buttercup10012 @ SV83 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1179]) ).

thf(1281,plain,
    ! [SV84: $i] :
      ( ( ~ ( k04_buttercup10631 @ SV84 )
        | ( k04_buttercup10012 @ SV84 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1180]) ).

thf(1282,plain,
    ! [SV85: $i] :
      ( ( ~ ( k04_buttercup10635 @ SV85 )
        | ( k04_buttercup10012 @ SV85 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1181]) ).

thf(1283,plain,
    ! [SV86: $i] :
      ( ( ~ ( k04_buttercup10643 @ SV86 )
        | ( k04_buttercup10012 @ SV86 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1182]) ).

thf(1284,plain,
    ! [SV87: $i] :
      ( ( ~ ( b48_buttercup10307 @ SV87 )
        | ( b48_buttercup10300 @ SV87 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1183]) ).

thf(1285,plain,
    ! [SV88: $i] :
      ( ( ~ ( b48_buttercup10308 @ SV88 )
        | ( b48_buttercup10300 @ SV88 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1184]) ).

thf(1286,plain,
    ! [SV89: $i] :
      ( ( ~ ( b48_buttercup10300 @ SV89 )
        | ( b48_buttercup10007 @ SV89 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1185]) ).

thf(1287,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( b48_buttercup10308 @ SX0 )
            | ( k04_buttercup10303 @ SX0 ) )
      | ~ ~ ( ~ ( k04_buttercup10303 @ sK14_X620 )
            | ~ ~ ( b48_buttercup10308 @ sK14_X620 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1192]) ).

thf(1288,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( b48_buttercup10300 @ SX0 )
            | ( k04_buttercup10303 @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( k04_buttercup10303 @ SX0 )
            | ( b48_buttercup10300 @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1193]) ).

thf(1289,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( k04_buttercup10012 @ SX0 )
            | ( b48_buttercup10007 @ SX0 ) )
      | ~ ~ ( ~ ( b48_buttercup10007 @ sK11_X522 )
            | ~ ~ ( k04_buttercup10012 @ sK11_X522 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1194]) ).

thf(1290,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( b48_buttercup10307 @ SX0 )
            | ( k04_buttercup10303 @ SX0 ) )
      | ~ ~ ( ~ ( k04_buttercup10303 @ sK15_X324 )
            | ~ ~ ( b48_buttercup10307 @ sK15_X324 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1195]) ).

thf(1291,plain,
    ( ( ~ ~ ( ~ ( b48_buttercup10305 @ sK4_X1060 )
            | ~ ( k04_buttercup10303 @ sK4_X1060 ) )
      | ~ ~ ( ~ ~ ( ~ ( sK6_REN
                      | ! [SX0: $i] :
                          ( ~ ( k04_buttercup10303 @ SX0 )
                          | ( b48_buttercup10305 @ SX0 ) ) )
                  | ~ ( ~ sK6_REN
                      | ~ ( ~ ( b48_buttercup10305 @ sK3_X1058 )
                          | ~ ~ ( k04_buttercup10303 @ sK3_X1058 ) ) ) )
            | ~ ~ ( ~ ~ ( ~ ( ~ ( b48_buttercup10305 @ sK2_X1055 )
                            | ~ ( k04_buttercup10303 @ sK2_X1055 ) )
                        | ~ ( ( b48_buttercup10305 @ sK2_X1055 )
                            | ( k04_buttercup10303 @ sK2_X1055 ) ) )
                  | ~ ~ ( ~ ( sK5_REN
                            | ! [SX0: $i] :
                                ( ~ ( b48_buttercup10305 @ SX0 )
                                | ( k04_buttercup10303 @ SX0 ) ) )
                        | ~ ( ~ sK5_REN
                            | ~ ( ~ ( k04_buttercup10303 @ sK1_X1056 )
                                | ~ ~ ( b48_buttercup10305 @ sK1_X1056 ) ) ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1196]) ).

thf(1292,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( b48_buttercup10305 @ SX0 )
            | ( k04_buttercup10303 @ SX0 ) )
      | ~ ~ ( ~ ( k04_buttercup10303 @ sK16_X320 )
            | ~ ~ ( b48_buttercup10305 @ sK16_X320 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1197]) ).

thf(1293,plain,
    ! [SV1: $i] :
      ( ( ( ~ ( k04_buttercup10303 @ SV1 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV1 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1198]) ).

thf(1294,plain,
    ! [SV2: $i] :
      ( ( ( ~ ( b48_buttercup10305 @ SV2 ) )
        = $true )
      | ( ( b48_buttercup10300 @ SV2 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1199]) ).

thf(1295,plain,
    ! [SV3: $i] :
      ( ( ( ~ ( k04_buttercup10184 @ SV3 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV3 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1200]) ).

thf(1296,plain,
    ! [SV4: $i] :
      ( ( ( ~ ( k04_buttercup10190 @ SV4 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV4 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1201]) ).

thf(1297,plain,
    ! [SV5: $i] :
      ( ( ( ~ ( k04_buttercup10200 @ SV5 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV5 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1202]) ).

thf(1298,plain,
    ! [SV6: $i] :
      ( ( ( ~ ( k04_buttercup10204 @ SV6 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV6 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1203]) ).

thf(1299,plain,
    ! [SV7: $i] :
      ( ( ( ~ ( k04_buttercup10221 @ SV7 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV7 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1204]) ).

thf(1300,plain,
    ! [SV8: $i] :
      ( ( ( ~ ( k04_buttercup10225 @ SV8 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV8 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1205]) ).

thf(1301,plain,
    ! [SV9: $i] :
      ( ( ( ~ ( k04_buttercup10234 @ SV9 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV9 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1206]) ).

thf(1302,plain,
    ! [SV10: $i] :
      ( ( ( ~ ( k04_buttercup10244 @ SV10 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV10 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1207]) ).

thf(1303,plain,
    ! [SV11: $i] :
      ( ( ( ~ ( k04_buttercup10252 @ SV11 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV11 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1208]) ).

thf(1304,plain,
    ! [SV12: $i] :
      ( ( ( ~ ( k04_buttercup10282 @ SV12 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV12 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1209]) ).

thf(1305,plain,
    ! [SV13: $i] :
      ( ( ( ~ ( k04_buttercup10293 @ SV13 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV13 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1210]) ).

thf(1306,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( k04_buttercup10312 @ SV14 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1211]) ).

thf(1307,plain,
    ! [SV15: $i] :
      ( ( ( ~ ( k04_buttercup10316 @ SV15 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV15 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1212]) ).

thf(1308,plain,
    ! [SV16: $i] :
      ( ( ( ~ ( k04_buttercup10325 @ SV16 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV16 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1213]) ).

thf(1309,plain,
    ! [SV17: $i] :
      ( ( ( ~ ( k04_buttercup10329 @ SV17 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV17 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1214]) ).

thf(1310,plain,
    ! [SV18: $i] :
      ( ( ( ~ ( k04_buttercup10333 @ SV18 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV18 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1215]) ).

thf(1311,plain,
    ! [SV19: $i] :
      ( ( ( ~ ( k04_buttercup10337 @ SV19 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV19 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1216]) ).

thf(1312,plain,
    ! [SV20: $i] :
      ( ( ( ~ ( k04_buttercup10356 @ SV20 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV20 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1217]) ).

thf(1313,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( k04_buttercup10016 @ SV21 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV21 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1218]) ).

thf(1314,plain,
    ! [SV22: $i] :
      ( ( ( ~ ( k04_buttercup10026 @ SV22 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV22 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1219]) ).

thf(1315,plain,
    ! [SV23: $i] :
      ( ( ( ~ ( k04_buttercup10039 @ SV23 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV23 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1220]) ).

thf(1316,plain,
    ! [SV24: $i] :
      ( ( ( ~ ( k04_buttercup10048 @ SV24 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV24 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1221]) ).

thf(1317,plain,
    ! [SV25: $i] :
      ( ( ( ~ ( k04_buttercup10053 @ SV25 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV25 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1222]) ).

thf(1318,plain,
    ! [SV26: $i] :
      ( ( ( ~ ( k04_buttercup10057 @ SV26 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV26 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1223]) ).

thf(1319,plain,
    ! [SV27: $i] :
      ( ( ( ~ ( k04_buttercup10079 @ SV27 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV27 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1224]) ).

thf(1320,plain,
    ! [SV28: $i] :
      ( ( ( ~ ( k04_buttercup10084 @ SV28 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV28 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1225]) ).

thf(1321,plain,
    ! [SV29: $i] :
      ( ( ( ~ ( k04_buttercup10089 @ SV29 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV29 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1226]) ).

thf(1322,plain,
    ! [SV30: $i] :
      ( ( ( ~ ( k04_buttercup10095 @ SV30 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV30 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1227]) ).

thf(1323,plain,
    ! [SV31: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV31 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV31 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1228]) ).

thf(1324,plain,
    ! [SV32: $i] :
      ( ( ( ~ ( k04_buttercup10117 @ SV32 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV32 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1229]) ).

thf(1325,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( k04_buttercup10125 @ SV33 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV33 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1230]) ).

thf(1326,plain,
    ! [SV34: $i] :
      ( ( ( ~ ( k04_buttercup10132 @ SV34 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV34 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1231]) ).

thf(1327,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( k04_buttercup10135 @ SV35 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV35 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1232]) ).

thf(1328,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( k04_buttercup10139 @ SV36 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV36 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1233]) ).

thf(1329,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( k04_buttercup10147 @ SV37 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV37 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1234]) ).

thf(1330,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( k04_buttercup10153 @ SV38 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV38 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1235]) ).

thf(1331,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( k04_buttercup10164 @ SV39 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV39 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1236]) ).

thf(1332,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( k04_buttercup10172 @ SV40 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV40 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1237]) ).

thf(1333,plain,
    ! [SV41: $i] :
      ( ( ( ~ ( k04_buttercup10181 @ SV41 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV41 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1238]) ).

thf(1334,plain,
    ! [SV42: $i] :
      ( ( ( ~ ( k04_buttercup10364 @ SV42 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV42 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1239]) ).

thf(1335,plain,
    ! [SV43: $i] :
      ( ( ( ~ ( k04_buttercup10369 @ SV43 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV43 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1240]) ).

thf(1336,plain,
    ! [SV44: $i] :
      ( ( ( ~ ( k04_buttercup10380 @ SV44 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV44 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1241]) ).

thf(1337,plain,
    ! [SV45: $i] :
      ( ( ( ~ ( k04_buttercup10382 @ SV45 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV45 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1242]) ).

thf(1338,plain,
    ! [SV46: $i] :
      ( ( ( ~ ( k04_buttercup10385 @ SV46 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV46 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1243]) ).

thf(1339,plain,
    ! [SV47: $i] :
      ( ( ( ~ ( k04_buttercup10389 @ SV47 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV47 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1244]) ).

thf(1340,plain,
    ! [SV48: $i] :
      ( ( ( ~ ( k04_buttercup10391 @ SV48 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV48 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1245]) ).

thf(1341,plain,
    ! [SV49: $i] :
      ( ( ( ~ ( k04_buttercup10397 @ SV49 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV49 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1246]) ).

thf(1342,plain,
    ! [SV50: $i] :
      ( ( ( ~ ( k04_buttercup10400 @ SV50 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV50 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1247]) ).

thf(1343,plain,
    ! [SV51: $i] :
      ( ( ( ~ ( k04_buttercup10404 @ SV51 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV51 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1248]) ).

thf(1344,plain,
    ! [SV52: $i] :
      ( ( ( ~ ( k04_buttercup10415 @ SV52 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV52 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1249]) ).

thf(1345,plain,
    ! [SV53: $i] :
      ( ( ( ~ ( k04_buttercup10419 @ SV53 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV53 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1250]) ).

thf(1346,plain,
    ! [SV54: $i] :
      ( ( ( ~ ( k04_buttercup10424 @ SV54 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV54 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1251]) ).

thf(1347,plain,
    ! [SV55: $i] :
      ( ( ( ~ ( k04_buttercup10430 @ SV55 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV55 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1252]) ).

thf(1348,plain,
    ! [SV56: $i] :
      ( ( ( ~ ( k04_buttercup10437 @ SV56 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV56 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1253]) ).

thf(1349,plain,
    ! [SV57: $i] :
      ( ( ( ~ ( k04_buttercup10445 @ SV57 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV57 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1254]) ).

thf(1350,plain,
    ! [SV58: $i] :
      ( ( ( ~ ( k04_buttercup10449 @ SV58 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV58 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1255]) ).

thf(1351,plain,
    ! [SV59: $i] :
      ( ( ( ~ ( k04_buttercup10470 @ SV59 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV59 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1256]) ).

thf(1352,plain,
    ! [SV60: $i] :
      ( ( ( ~ ( k04_buttercup10473 @ SV60 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV60 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1257]) ).

thf(1353,plain,
    ! [SV61: $i] :
      ( ( ( ~ ( k04_buttercup10477 @ SV61 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV61 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1258]) ).

thf(1354,plain,
    ! [SV62: $i] :
      ( ( ( ~ ( k04_buttercup10492 @ SV62 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV62 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1259]) ).

thf(1355,plain,
    ! [SV63: $i] :
      ( ( ( ~ ( k04_buttercup10495 @ SV63 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV63 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1260]) ).

thf(1356,plain,
    ! [SV64: $i] :
      ( ( ( ~ ( k04_buttercup10499 @ SV64 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV64 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1261]) ).

thf(1357,plain,
    ! [SV65: $i] :
      ( ( ( ~ ( k04_buttercup10504 @ SV65 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV65 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1262]) ).

thf(1358,plain,
    ! [SV66: $i] :
      ( ( ( ~ ( k04_buttercup10510 @ SV66 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV66 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1263]) ).

thf(1359,plain,
    ! [SV67: $i] :
      ( ( ( ~ ( k04_buttercup10516 @ SV67 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV67 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1264]) ).

thf(1360,plain,
    ! [SV68: $i] :
      ( ( ( ~ ( k04_buttercup10524 @ SV68 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV68 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1265]) ).

thf(1361,plain,
    ! [SV69: $i] :
      ( ( ( ~ ( k04_buttercup10529 @ SV69 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV69 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1266]) ).

thf(1362,plain,
    ! [SV70: $i] :
      ( ( ( ~ ( k04_buttercup10535 @ SV70 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV70 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1267]) ).

thf(1363,plain,
    ! [SV71: $i] :
      ( ( ( ~ ( k04_buttercup10544 @ SV71 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV71 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1268]) ).

thf(1364,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( k04_buttercup10551 @ SV72 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV72 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1269]) ).

thf(1365,plain,
    ! [SV73: $i] :
      ( ( ( ~ ( k04_buttercup10555 @ SV73 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV73 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1270]) ).

thf(1366,plain,
    ! [SV74: $i] :
      ( ( ( ~ ( k04_buttercup10567 @ SV74 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV74 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1271]) ).

thf(1367,plain,
    ! [SV75: $i] :
      ( ( ( ~ ( k04_buttercup10578 @ SV75 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV75 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1272]) ).

thf(1368,plain,
    ! [SV76: $i] :
      ( ( ( ~ ( k04_buttercup10581 @ SV76 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV76 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1273]) ).

thf(1369,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( k04_buttercup10586 @ SV77 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV77 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1274]) ).

thf(1370,plain,
    ! [SV78: $i] :
      ( ( ( ~ ( k04_buttercup10593 @ SV78 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV78 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1275]) ).

thf(1371,plain,
    ! [SV79: $i] :
      ( ( ( ~ ( k04_buttercup10608 @ SV79 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV79 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1276]) ).

thf(1372,plain,
    ! [SV80: $i] :
      ( ( ( ~ ( k04_buttercup10611 @ SV80 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV80 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1277]) ).

thf(1373,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ SV81 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV81 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1278]) ).

thf(1374,plain,
    ! [SV82: $i] :
      ( ( ( ~ ( k04_buttercup10626 @ SV82 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV82 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1279]) ).

thf(1375,plain,
    ! [SV83: $i] :
      ( ( ( ~ ( k04_buttercup10628 @ SV83 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV83 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1280]) ).

thf(1376,plain,
    ! [SV84: $i] :
      ( ( ( ~ ( k04_buttercup10631 @ SV84 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV84 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1281]) ).

thf(1377,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( k04_buttercup10635 @ SV85 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV85 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1282]) ).

thf(1378,plain,
    ! [SV86: $i] :
      ( ( ( ~ ( k04_buttercup10643 @ SV86 ) )
        = $true )
      | ( ( k04_buttercup10012 @ SV86 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1283]) ).

thf(1379,plain,
    ! [SV87: $i] :
      ( ( ( ~ ( b48_buttercup10307 @ SV87 ) )
        = $true )
      | ( ( b48_buttercup10300 @ SV87 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1284]) ).

thf(1380,plain,
    ! [SV88: $i] :
      ( ( ( ~ ( b48_buttercup10308 @ SV88 ) )
        = $true )
      | ( ( b48_buttercup10300 @ SV88 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1285]) ).

thf(1381,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( b48_buttercup10300 @ SV89 ) )
        = $true )
      | ( ( b48_buttercup10007 @ SV89 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1286]) ).

thf(1382,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( b48_buttercup10308 @ SX0 )
            | ( k04_buttercup10303 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1287]) ).

thf(1383,plain,
    ( ( ~ ~ ( ~ ( k04_buttercup10303 @ sK14_X620 )
            | ~ ~ ( b48_buttercup10308 @ sK14_X620 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1287]) ).

thf(1384,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( b48_buttercup10300 @ SX0 )
            | ( k04_buttercup10303 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1288]) ).

thf(1385,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( k04_buttercup10303 @ SX0 )
            | ( b48_buttercup10300 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1288]) ).

thf(1386,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( k04_buttercup10012 @ SX0 )
            | ( b48_buttercup10007 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1289]) ).

thf(1387,plain,
    ( ( ~ ~ ( ~ ( b48_buttercup10007 @ sK11_X522 )
            | ~ ~ ( k04_buttercup10012 @ sK11_X522 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1289]) ).

thf(1388,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( b48_buttercup10307 @ SX0 )
            | ( k04_buttercup10303 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1290]) ).

thf(1389,plain,
    ( ( ~ ~ ( ~ ( k04_buttercup10303 @ sK15_X324 )
            | ~ ~ ( b48_buttercup10307 @ sK15_X324 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1290]) ).

thf(1390,plain,
    ( ( ~ ~ ( ~ ( b48_buttercup10305 @ sK4_X1060 )
            | ~ ( k04_buttercup10303 @ sK4_X1060 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1291]) ).

thf(1391,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ( sK6_REN
                      | ! [SX0: $i] :
                          ( ~ ( k04_buttercup10303 @ SX0 )
                          | ( b48_buttercup10305 @ SX0 ) ) )
                  | ~ ( ~ sK6_REN
                      | ~ ( ~ ( b48_buttercup10305 @ sK3_X1058 )
                          | ~ ~ ( k04_buttercup10303 @ sK3_X1058 ) ) ) )
            | ~ ~ ( ~ ~ ( ~ ( ~ ( b48_buttercup10305 @ sK2_X1055 )
                            | ~ ( k04_buttercup10303 @ sK2_X1055 ) )
                        | ~ ( ( b48_buttercup10305 @ sK2_X1055 )
                            | ( k04_buttercup10303 @ sK2_X1055 ) ) )
                  | ~ ~ ( ~ ( sK5_REN
                            | ! [SX0: $i] :
                                ( ~ ( b48_buttercup10305 @ SX0 )
                                | ( k04_buttercup10303 @ SX0 ) ) )
                        | ~ ( ~ sK5_REN
                            | ~ ( ~ ( k04_buttercup10303 @ sK1_X1056 )
                                | ~ ~ ( b48_buttercup10305 @ sK1_X1056 ) ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1291]) ).

thf(1392,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( b48_buttercup10305 @ SX0 )
            | ( k04_buttercup10303 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1292]) ).

thf(1393,plain,
    ( ( ~ ~ ( ~ ( k04_buttercup10303 @ sK16_X320 )
            | ~ ~ ( b48_buttercup10305 @ sK16_X320 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1292]) ).

thf(1394,plain,
    ! [SV1: $i] :
      ( ( ( k04_buttercup10303 @ SV1 )
        = $false )
      | ( ( k04_buttercup10012 @ SV1 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1293]) ).

thf(1395,plain,
    ! [SV2: $i] :
      ( ( ( b48_buttercup10305 @ SV2 )
        = $false )
      | ( ( b48_buttercup10300 @ SV2 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1294]) ).

thf(1396,plain,
    ! [SV3: $i] :
      ( ( ( k04_buttercup10184 @ SV3 )
        = $false )
      | ( ( k04_buttercup10012 @ SV3 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1295]) ).

thf(1397,plain,
    ! [SV4: $i] :
      ( ( ( k04_buttercup10190 @ SV4 )
        = $false )
      | ( ( k04_buttercup10012 @ SV4 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1296]) ).

thf(1398,plain,
    ! [SV5: $i] :
      ( ( ( k04_buttercup10200 @ SV5 )
        = $false )
      | ( ( k04_buttercup10012 @ SV5 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1297]) ).

thf(1399,plain,
    ! [SV6: $i] :
      ( ( ( k04_buttercup10204 @ SV6 )
        = $false )
      | ( ( k04_buttercup10012 @ SV6 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1298]) ).

thf(1400,plain,
    ! [SV7: $i] :
      ( ( ( k04_buttercup10221 @ SV7 )
        = $false )
      | ( ( k04_buttercup10012 @ SV7 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1299]) ).

thf(1401,plain,
    ! [SV8: $i] :
      ( ( ( k04_buttercup10225 @ SV8 )
        = $false )
      | ( ( k04_buttercup10012 @ SV8 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1300]) ).

thf(1402,plain,
    ! [SV9: $i] :
      ( ( ( k04_buttercup10234 @ SV9 )
        = $false )
      | ( ( k04_buttercup10012 @ SV9 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1301]) ).

thf(1403,plain,
    ! [SV10: $i] :
      ( ( ( k04_buttercup10244 @ SV10 )
        = $false )
      | ( ( k04_buttercup10012 @ SV10 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1302]) ).

thf(1404,plain,
    ! [SV11: $i] :
      ( ( ( k04_buttercup10252 @ SV11 )
        = $false )
      | ( ( k04_buttercup10012 @ SV11 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1303]) ).

thf(1405,plain,
    ! [SV12: $i] :
      ( ( ( k04_buttercup10282 @ SV12 )
        = $false )
      | ( ( k04_buttercup10012 @ SV12 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1304]) ).

thf(1406,plain,
    ! [SV13: $i] :
      ( ( ( k04_buttercup10293 @ SV13 )
        = $false )
      | ( ( k04_buttercup10012 @ SV13 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1305]) ).

thf(1407,plain,
    ! [SV14: $i] :
      ( ( ( k04_buttercup10312 @ SV14 )
        = $false )
      | ( ( k04_buttercup10012 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1306]) ).

thf(1408,plain,
    ! [SV15: $i] :
      ( ( ( k04_buttercup10316 @ SV15 )
        = $false )
      | ( ( k04_buttercup10012 @ SV15 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1307]) ).

thf(1409,plain,
    ! [SV16: $i] :
      ( ( ( k04_buttercup10325 @ SV16 )
        = $false )
      | ( ( k04_buttercup10012 @ SV16 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1308]) ).

thf(1410,plain,
    ! [SV17: $i] :
      ( ( ( k04_buttercup10329 @ SV17 )
        = $false )
      | ( ( k04_buttercup10012 @ SV17 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1309]) ).

thf(1411,plain,
    ! [SV18: $i] :
      ( ( ( k04_buttercup10333 @ SV18 )
        = $false )
      | ( ( k04_buttercup10012 @ SV18 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1310]) ).

thf(1412,plain,
    ! [SV19: $i] :
      ( ( ( k04_buttercup10337 @ SV19 )
        = $false )
      | ( ( k04_buttercup10012 @ SV19 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1311]) ).

thf(1413,plain,
    ! [SV20: $i] :
      ( ( ( k04_buttercup10356 @ SV20 )
        = $false )
      | ( ( k04_buttercup10012 @ SV20 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1312]) ).

thf(1414,plain,
    ! [SV21: $i] :
      ( ( ( k04_buttercup10016 @ SV21 )
        = $false )
      | ( ( k04_buttercup10012 @ SV21 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1313]) ).

thf(1415,plain,
    ! [SV22: $i] :
      ( ( ( k04_buttercup10026 @ SV22 )
        = $false )
      | ( ( k04_buttercup10012 @ SV22 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1314]) ).

thf(1416,plain,
    ! [SV23: $i] :
      ( ( ( k04_buttercup10039 @ SV23 )
        = $false )
      | ( ( k04_buttercup10012 @ SV23 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1315]) ).

thf(1417,plain,
    ! [SV24: $i] :
      ( ( ( k04_buttercup10048 @ SV24 )
        = $false )
      | ( ( k04_buttercup10012 @ SV24 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1316]) ).

thf(1418,plain,
    ! [SV25: $i] :
      ( ( ( k04_buttercup10053 @ SV25 )
        = $false )
      | ( ( k04_buttercup10012 @ SV25 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1317]) ).

thf(1419,plain,
    ! [SV26: $i] :
      ( ( ( k04_buttercup10057 @ SV26 )
        = $false )
      | ( ( k04_buttercup10012 @ SV26 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1318]) ).

thf(1420,plain,
    ! [SV27: $i] :
      ( ( ( k04_buttercup10079 @ SV27 )
        = $false )
      | ( ( k04_buttercup10012 @ SV27 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1319]) ).

thf(1421,plain,
    ! [SV28: $i] :
      ( ( ( k04_buttercup10084 @ SV28 )
        = $false )
      | ( ( k04_buttercup10012 @ SV28 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1320]) ).

thf(1422,plain,
    ! [SV29: $i] :
      ( ( ( k04_buttercup10089 @ SV29 )
        = $false )
      | ( ( k04_buttercup10012 @ SV29 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1321]) ).

thf(1423,plain,
    ! [SV30: $i] :
      ( ( ( k04_buttercup10095 @ SV30 )
        = $false )
      | ( ( k04_buttercup10012 @ SV30 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1322]) ).

thf(1424,plain,
    ! [SV31: $i] :
      ( ( ( k04_buttercup10100 @ SV31 )
        = $false )
      | ( ( k04_buttercup10012 @ SV31 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1323]) ).

thf(1425,plain,
    ! [SV32: $i] :
      ( ( ( k04_buttercup10117 @ SV32 )
        = $false )
      | ( ( k04_buttercup10012 @ SV32 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1324]) ).

thf(1426,plain,
    ! [SV33: $i] :
      ( ( ( k04_buttercup10125 @ SV33 )
        = $false )
      | ( ( k04_buttercup10012 @ SV33 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1325]) ).

thf(1427,plain,
    ! [SV34: $i] :
      ( ( ( k04_buttercup10132 @ SV34 )
        = $false )
      | ( ( k04_buttercup10012 @ SV34 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1326]) ).

thf(1428,plain,
    ! [SV35: $i] :
      ( ( ( k04_buttercup10135 @ SV35 )
        = $false )
      | ( ( k04_buttercup10012 @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1327]) ).

thf(1429,plain,
    ! [SV36: $i] :
      ( ( ( k04_buttercup10139 @ SV36 )
        = $false )
      | ( ( k04_buttercup10012 @ SV36 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1328]) ).

thf(1430,plain,
    ! [SV37: $i] :
      ( ( ( k04_buttercup10147 @ SV37 )
        = $false )
      | ( ( k04_buttercup10012 @ SV37 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1329]) ).

thf(1431,plain,
    ! [SV38: $i] :
      ( ( ( k04_buttercup10153 @ SV38 )
        = $false )
      | ( ( k04_buttercup10012 @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1330]) ).

thf(1432,plain,
    ! [SV39: $i] :
      ( ( ( k04_buttercup10164 @ SV39 )
        = $false )
      | ( ( k04_buttercup10012 @ SV39 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1331]) ).

thf(1433,plain,
    ! [SV40: $i] :
      ( ( ( k04_buttercup10172 @ SV40 )
        = $false )
      | ( ( k04_buttercup10012 @ SV40 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1332]) ).

thf(1434,plain,
    ! [SV41: $i] :
      ( ( ( k04_buttercup10181 @ SV41 )
        = $false )
      | ( ( k04_buttercup10012 @ SV41 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1333]) ).

thf(1435,plain,
    ! [SV42: $i] :
      ( ( ( k04_buttercup10364 @ SV42 )
        = $false )
      | ( ( k04_buttercup10012 @ SV42 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1334]) ).

thf(1436,plain,
    ! [SV43: $i] :
      ( ( ( k04_buttercup10369 @ SV43 )
        = $false )
      | ( ( k04_buttercup10012 @ SV43 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1335]) ).

thf(1437,plain,
    ! [SV44: $i] :
      ( ( ( k04_buttercup10380 @ SV44 )
        = $false )
      | ( ( k04_buttercup10012 @ SV44 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1336]) ).

thf(1438,plain,
    ! [SV45: $i] :
      ( ( ( k04_buttercup10382 @ SV45 )
        = $false )
      | ( ( k04_buttercup10012 @ SV45 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1337]) ).

thf(1439,plain,
    ! [SV46: $i] :
      ( ( ( k04_buttercup10385 @ SV46 )
        = $false )
      | ( ( k04_buttercup10012 @ SV46 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1338]) ).

thf(1440,plain,
    ! [SV47: $i] :
      ( ( ( k04_buttercup10389 @ SV47 )
        = $false )
      | ( ( k04_buttercup10012 @ SV47 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1339]) ).

thf(1441,plain,
    ! [SV48: $i] :
      ( ( ( k04_buttercup10391 @ SV48 )
        = $false )
      | ( ( k04_buttercup10012 @ SV48 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1340]) ).

thf(1442,plain,
    ! [SV49: $i] :
      ( ( ( k04_buttercup10397 @ SV49 )
        = $false )
      | ( ( k04_buttercup10012 @ SV49 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1341]) ).

thf(1443,plain,
    ! [SV50: $i] :
      ( ( ( k04_buttercup10400 @ SV50 )
        = $false )
      | ( ( k04_buttercup10012 @ SV50 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1342]) ).

thf(1444,plain,
    ! [SV51: $i] :
      ( ( ( k04_buttercup10404 @ SV51 )
        = $false )
      | ( ( k04_buttercup10012 @ SV51 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1343]) ).

thf(1445,plain,
    ! [SV52: $i] :
      ( ( ( k04_buttercup10415 @ SV52 )
        = $false )
      | ( ( k04_buttercup10012 @ SV52 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1344]) ).

thf(1446,plain,
    ! [SV53: $i] :
      ( ( ( k04_buttercup10419 @ SV53 )
        = $false )
      | ( ( k04_buttercup10012 @ SV53 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1345]) ).

thf(1447,plain,
    ! [SV54: $i] :
      ( ( ( k04_buttercup10424 @ SV54 )
        = $false )
      | ( ( k04_buttercup10012 @ SV54 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1346]) ).

thf(1448,plain,
    ! [SV55: $i] :
      ( ( ( k04_buttercup10430 @ SV55 )
        = $false )
      | ( ( k04_buttercup10012 @ SV55 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1347]) ).

thf(1449,plain,
    ! [SV56: $i] :
      ( ( ( k04_buttercup10437 @ SV56 )
        = $false )
      | ( ( k04_buttercup10012 @ SV56 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1348]) ).

thf(1450,plain,
    ! [SV57: $i] :
      ( ( ( k04_buttercup10445 @ SV57 )
        = $false )
      | ( ( k04_buttercup10012 @ SV57 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1349]) ).

thf(1451,plain,
    ! [SV58: $i] :
      ( ( ( k04_buttercup10449 @ SV58 )
        = $false )
      | ( ( k04_buttercup10012 @ SV58 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1350]) ).

thf(1452,plain,
    ! [SV59: $i] :
      ( ( ( k04_buttercup10470 @ SV59 )
        = $false )
      | ( ( k04_buttercup10012 @ SV59 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1351]) ).

thf(1453,plain,
    ! [SV60: $i] :
      ( ( ( k04_buttercup10473 @ SV60 )
        = $false )
      | ( ( k04_buttercup10012 @ SV60 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1352]) ).

thf(1454,plain,
    ! [SV61: $i] :
      ( ( ( k04_buttercup10477 @ SV61 )
        = $false )
      | ( ( k04_buttercup10012 @ SV61 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1353]) ).

thf(1455,plain,
    ! [SV62: $i] :
      ( ( ( k04_buttercup10492 @ SV62 )
        = $false )
      | ( ( k04_buttercup10012 @ SV62 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1354]) ).

thf(1456,plain,
    ! [SV63: $i] :
      ( ( ( k04_buttercup10495 @ SV63 )
        = $false )
      | ( ( k04_buttercup10012 @ SV63 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1355]) ).

thf(1457,plain,
    ! [SV64: $i] :
      ( ( ( k04_buttercup10499 @ SV64 )
        = $false )
      | ( ( k04_buttercup10012 @ SV64 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1356]) ).

thf(1458,plain,
    ! [SV65: $i] :
      ( ( ( k04_buttercup10504 @ SV65 )
        = $false )
      | ( ( k04_buttercup10012 @ SV65 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1357]) ).

thf(1459,plain,
    ! [SV66: $i] :
      ( ( ( k04_buttercup10510 @ SV66 )
        = $false )
      | ( ( k04_buttercup10012 @ SV66 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1358]) ).

thf(1460,plain,
    ! [SV67: $i] :
      ( ( ( k04_buttercup10516 @ SV67 )
        = $false )
      | ( ( k04_buttercup10012 @ SV67 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1359]) ).

thf(1461,plain,
    ! [SV68: $i] :
      ( ( ( k04_buttercup10524 @ SV68 )
        = $false )
      | ( ( k04_buttercup10012 @ SV68 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1360]) ).

thf(1462,plain,
    ! [SV69: $i] :
      ( ( ( k04_buttercup10529 @ SV69 )
        = $false )
      | ( ( k04_buttercup10012 @ SV69 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1361]) ).

thf(1463,plain,
    ! [SV70: $i] :
      ( ( ( k04_buttercup10535 @ SV70 )
        = $false )
      | ( ( k04_buttercup10012 @ SV70 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1362]) ).

thf(1464,plain,
    ! [SV71: $i] :
      ( ( ( k04_buttercup10544 @ SV71 )
        = $false )
      | ( ( k04_buttercup10012 @ SV71 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1363]) ).

thf(1465,plain,
    ! [SV72: $i] :
      ( ( ( k04_buttercup10551 @ SV72 )
        = $false )
      | ( ( k04_buttercup10012 @ SV72 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1364]) ).

thf(1466,plain,
    ! [SV73: $i] :
      ( ( ( k04_buttercup10555 @ SV73 )
        = $false )
      | ( ( k04_buttercup10012 @ SV73 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1365]) ).

thf(1467,plain,
    ! [SV74: $i] :
      ( ( ( k04_buttercup10567 @ SV74 )
        = $false )
      | ( ( k04_buttercup10012 @ SV74 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1366]) ).

thf(1468,plain,
    ! [SV75: $i] :
      ( ( ( k04_buttercup10578 @ SV75 )
        = $false )
      | ( ( k04_buttercup10012 @ SV75 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1367]) ).

thf(1469,plain,
    ! [SV76: $i] :
      ( ( ( k04_buttercup10581 @ SV76 )
        = $false )
      | ( ( k04_buttercup10012 @ SV76 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1368]) ).

thf(1470,plain,
    ! [SV77: $i] :
      ( ( ( k04_buttercup10586 @ SV77 )
        = $false )
      | ( ( k04_buttercup10012 @ SV77 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1369]) ).

thf(1471,plain,
    ! [SV78: $i] :
      ( ( ( k04_buttercup10593 @ SV78 )
        = $false )
      | ( ( k04_buttercup10012 @ SV78 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1370]) ).

thf(1472,plain,
    ! [SV79: $i] :
      ( ( ( k04_buttercup10608 @ SV79 )
        = $false )
      | ( ( k04_buttercup10012 @ SV79 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1371]) ).

thf(1473,plain,
    ! [SV80: $i] :
      ( ( ( k04_buttercup10611 @ SV80 )
        = $false )
      | ( ( k04_buttercup10012 @ SV80 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1372]) ).

thf(1474,plain,
    ! [SV81: $i] :
      ( ( ( k04_buttercup10619 @ SV81 )
        = $false )
      | ( ( k04_buttercup10012 @ SV81 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1373]) ).

thf(1475,plain,
    ! [SV82: $i] :
      ( ( ( k04_buttercup10626 @ SV82 )
        = $false )
      | ( ( k04_buttercup10012 @ SV82 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1374]) ).

thf(1476,plain,
    ! [SV83: $i] :
      ( ( ( k04_buttercup10628 @ SV83 )
        = $false )
      | ( ( k04_buttercup10012 @ SV83 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1375]) ).

thf(1477,plain,
    ! [SV84: $i] :
      ( ( ( k04_buttercup10631 @ SV84 )
        = $false )
      | ( ( k04_buttercup10012 @ SV84 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1376]) ).

thf(1478,plain,
    ! [SV85: $i] :
      ( ( ( k04_buttercup10635 @ SV85 )
        = $false )
      | ( ( k04_buttercup10012 @ SV85 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1377]) ).

thf(1479,plain,
    ! [SV86: $i] :
      ( ( ( k04_buttercup10643 @ SV86 )
        = $false )
      | ( ( k04_buttercup10012 @ SV86 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1378]) ).

thf(1480,plain,
    ! [SV87: $i] :
      ( ( ( b48_buttercup10307 @ SV87 )
        = $false )
      | ( ( b48_buttercup10300 @ SV87 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1379]) ).

thf(1481,plain,
    ! [SV88: $i] :
      ( ( ( b48_buttercup10308 @ SV88 )
        = $false )
      | ( ( b48_buttercup10300 @ SV88 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1380]) ).

thf(1482,plain,
    ! [SV89: $i] :
      ( ( ( b48_buttercup10300 @ SV89 )
        = $false )
      | ( ( b48_buttercup10007 @ SV89 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1381]) ).

thf(1483,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( b48_buttercup10308 @ SX0 )
          | ( k04_buttercup10303 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1382]) ).

thf(1484,plain,
    ( ( ~ ( ~ ( k04_buttercup10303 @ sK14_X620 )
          | ~ ~ ( b48_buttercup10308 @ sK14_X620 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1383]) ).

thf(1485,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( b48_buttercup10300 @ SX0 )
          | ( k04_buttercup10303 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1384]) ).

thf(1486,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( k04_buttercup10303 @ SX0 )
          | ( b48_buttercup10300 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1385]) ).

thf(1487,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( k04_buttercup10012 @ SX0 )
          | ( b48_buttercup10007 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1386]) ).

thf(1488,plain,
    ( ( ~ ( ~ ( b48_buttercup10007 @ sK11_X522 )
          | ~ ~ ( k04_buttercup10012 @ sK11_X522 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1387]) ).

thf(1489,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( b48_buttercup10307 @ SX0 )
          | ( k04_buttercup10303 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1388]) ).

thf(1490,plain,
    ( ( ~ ( ~ ( k04_buttercup10303 @ sK15_X324 )
          | ~ ~ ( b48_buttercup10307 @ sK15_X324 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1389]) ).

thf(1491,plain,
    ( ( ~ ( ~ ( b48_buttercup10305 @ sK4_X1060 )
          | ~ ( k04_buttercup10303 @ sK4_X1060 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1390]) ).

thf(1492,plain,
    ( ( ~ ( ~ ~ ( ~ ( sK6_REN
                    | ! [SX0: $i] :
                        ( ~ ( k04_buttercup10303 @ SX0 )
                        | ( b48_buttercup10305 @ SX0 ) ) )
                | ~ ( ~ sK6_REN
                    | ~ ( ~ ( b48_buttercup10305 @ sK3_X1058 )
                        | ~ ~ ( k04_buttercup10303 @ sK3_X1058 ) ) ) )
          | ~ ~ ( ~ ~ ( ~ ( ~ ( b48_buttercup10305 @ sK2_X1055 )
                          | ~ ( k04_buttercup10303 @ sK2_X1055 ) )
                      | ~ ( ( b48_buttercup10305 @ sK2_X1055 )
                          | ( k04_buttercup10303 @ sK2_X1055 ) ) )
                | ~ ~ ( ~ ( sK5_REN
                          | ! [SX0: $i] :
                              ( ~ ( b48_buttercup10305 @ SX0 )
                              | ( k04_buttercup10303 @ SX0 ) ) )
                      | ~ ( ~ sK5_REN
                          | ~ ( ~ ( k04_buttercup10303 @ sK1_X1056 )
                              | ~ ~ ( b48_buttercup10305 @ sK1_X1056 ) ) ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1391]) ).

thf(1493,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( b48_buttercup10305 @ SX0 )
          | ( k04_buttercup10303 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1392]) ).

thf(1494,plain,
    ( ( ~ ( ~ ( k04_buttercup10303 @ sK16_X320 )
          | ~ ~ ( b48_buttercup10305 @ sK16_X320 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1393]) ).

thf(1495,plain,
    ! [SV90: $i] :
      ( ( ~ ( b48_buttercup10308 @ SV90 )
        | ( k04_buttercup10303 @ SV90 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1483]) ).

thf(1496,plain,
    ( ( ~ ( k04_buttercup10303 @ sK14_X620 )
      | ~ ~ ( b48_buttercup10308 @ sK14_X620 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1484]) ).

thf(1497,plain,
    ! [SV91: $i] :
      ( ( ~ ( b48_buttercup10300 @ SV91 )
        | ( k04_buttercup10303 @ SV91 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1485]) ).

thf(1498,plain,
    ! [SV92: $i] :
      ( ( ~ ( k04_buttercup10303 @ SV92 )
        | ( b48_buttercup10300 @ SV92 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1486]) ).

thf(1499,plain,
    ! [SV93: $i] :
      ( ( ~ ( k04_buttercup10012 @ SV93 )
        | ( b48_buttercup10007 @ SV93 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1487]) ).

thf(1500,plain,
    ( ( ~ ( b48_buttercup10007 @ sK11_X522 )
      | ~ ~ ( k04_buttercup10012 @ sK11_X522 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1488]) ).

thf(1501,plain,
    ! [SV94: $i] :
      ( ( ~ ( b48_buttercup10307 @ SV94 )
        | ( k04_buttercup10303 @ SV94 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1489]) ).

thf(1502,plain,
    ( ( ~ ( k04_buttercup10303 @ sK15_X324 )
      | ~ ~ ( b48_buttercup10307 @ sK15_X324 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1490]) ).

thf(1503,plain,
    ( ( ~ ( b48_buttercup10305 @ sK4_X1060 )
      | ~ ( k04_buttercup10303 @ sK4_X1060 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1491]) ).

thf(1504,plain,
    ( ( ~ ~ ( ~ ( sK6_REN
                | ! [SX0: $i] :
                    ( ~ ( k04_buttercup10303 @ SX0 )
                    | ( b48_buttercup10305 @ SX0 ) ) )
            | ~ ( ~ sK6_REN
                | ~ ( ~ ( b48_buttercup10305 @ sK3_X1058 )
                    | ~ ~ ( k04_buttercup10303 @ sK3_X1058 ) ) ) )
      | ~ ~ ( ~ ~ ( ~ ( ~ ( b48_buttercup10305 @ sK2_X1055 )
                      | ~ ( k04_buttercup10303 @ sK2_X1055 ) )
                  | ~ ( ( b48_buttercup10305 @ sK2_X1055 )
                      | ( k04_buttercup10303 @ sK2_X1055 ) ) )
            | ~ ~ ( ~ ( sK5_REN
                      | ! [SX0: $i] :
                          ( ~ ( b48_buttercup10305 @ SX0 )
                          | ( k04_buttercup10303 @ SX0 ) ) )
                  | ~ ( ~ sK5_REN
                      | ~ ( ~ ( k04_buttercup10303 @ sK1_X1056 )
                          | ~ ~ ( b48_buttercup10305 @ sK1_X1056 ) ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1492]) ).

thf(1505,plain,
    ! [SV95: $i] :
      ( ( ~ ( b48_buttercup10305 @ SV95 )
        | ( k04_buttercup10303 @ SV95 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1493]) ).

thf(1506,plain,
    ( ( ~ ( k04_buttercup10303 @ sK16_X320 )
      | ~ ~ ( b48_buttercup10305 @ sK16_X320 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1494]) ).

thf(1507,plain,
    ! [SV90: $i] :
      ( ( ( ~ ( b48_buttercup10308 @ SV90 ) )
        = $true )
      | ( ( k04_buttercup10303 @ SV90 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1495]) ).

thf(1508,plain,
    ( ( ~ ( k04_buttercup10303 @ sK14_X620 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1496]) ).

thf(1509,plain,
    ( ( ~ ~ ( b48_buttercup10308 @ sK14_X620 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1496]) ).

thf(1510,plain,
    ! [SV91: $i] :
      ( ( ( ~ ( b48_buttercup10300 @ SV91 ) )
        = $true )
      | ( ( k04_buttercup10303 @ SV91 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1497]) ).

thf(1511,plain,
    ! [SV92: $i] :
      ( ( ( ~ ( k04_buttercup10303 @ SV92 ) )
        = $true )
      | ( ( b48_buttercup10300 @ SV92 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1498]) ).

thf(1512,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( k04_buttercup10012 @ SV93 ) )
        = $true )
      | ( ( b48_buttercup10007 @ SV93 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1499]) ).

thf(1513,plain,
    ( ( ~ ( b48_buttercup10007 @ sK11_X522 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1500]) ).

thf(1514,plain,
    ( ( ~ ~ ( k04_buttercup10012 @ sK11_X522 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1500]) ).

thf(1515,plain,
    ! [SV94: $i] :
      ( ( ( ~ ( b48_buttercup10307 @ SV94 ) )
        = $true )
      | ( ( k04_buttercup10303 @ SV94 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1501]) ).

thf(1516,plain,
    ( ( ~ ( k04_buttercup10303 @ sK15_X324 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1502]) ).

thf(1517,plain,
    ( ( ~ ~ ( b48_buttercup10307 @ sK15_X324 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1502]) ).

thf(1518,plain,
    ( ( ~ ( b48_buttercup10305 @ sK4_X1060 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1503]) ).

thf(1519,plain,
    ( ( ~ ( k04_buttercup10303 @ sK4_X1060 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1503]) ).

thf(1520,plain,
    ( ( ~ ~ ( ~ ( sK6_REN
                | ! [SX0: $i] :
                    ( ~ ( k04_buttercup10303 @ SX0 )
                    | ( b48_buttercup10305 @ SX0 ) ) )
            | ~ ( ~ sK6_REN
                | ~ ( ~ ( b48_buttercup10305 @ sK3_X1058 )
                    | ~ ~ ( k04_buttercup10303 @ sK3_X1058 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1504]) ).

thf(1521,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ( ~ ( b48_buttercup10305 @ sK2_X1055 )
                      | ~ ( k04_buttercup10303 @ sK2_X1055 ) )
                  | ~ ( ( b48_buttercup10305 @ sK2_X1055 )
                      | ( k04_buttercup10303 @ sK2_X1055 ) ) )
            | ~ ~ ( ~ ( sK5_REN
                      | ! [SX0: $i] :
                          ( ~ ( b48_buttercup10305 @ SX0 )
                          | ( k04_buttercup10303 @ SX0 ) ) )
                  | ~ ( ~ sK5_REN
                      | ~ ( ~ ( k04_buttercup10303 @ sK1_X1056 )
                          | ~ ~ ( b48_buttercup10305 @ sK1_X1056 ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1504]) ).

thf(1522,plain,
    ! [SV95: $i] :
      ( ( ( ~ ( b48_buttercup10305 @ SV95 ) )
        = $true )
      | ( ( k04_buttercup10303 @ SV95 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1505]) ).

thf(1523,plain,
    ( ( ~ ( k04_buttercup10303 @ sK16_X320 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1506]) ).

thf(1524,plain,
    ( ( ~ ~ ( b48_buttercup10305 @ sK16_X320 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1506]) ).

thf(1525,plain,
    ! [SV90: $i] :
      ( ( ( b48_buttercup10308 @ SV90 )
        = $false )
      | ( ( k04_buttercup10303 @ SV90 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1507]) ).

thf(1526,plain,
    ( ( k04_buttercup10303 @ sK14_X620 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1508]) ).

thf(1527,plain,
    ( ( ~ ( b48_buttercup10308 @ sK14_X620 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1509]) ).

thf(1528,plain,
    ! [SV91: $i] :
      ( ( ( b48_buttercup10300 @ SV91 )
        = $false )
      | ( ( k04_buttercup10303 @ SV91 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1510]) ).

thf(1529,plain,
    ! [SV92: $i] :
      ( ( ( k04_buttercup10303 @ SV92 )
        = $false )
      | ( ( b48_buttercup10300 @ SV92 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1511]) ).

thf(1530,plain,
    ! [SV93: $i] :
      ( ( ( k04_buttercup10012 @ SV93 )
        = $false )
      | ( ( b48_buttercup10007 @ SV93 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1512]) ).

thf(1531,plain,
    ( ( b48_buttercup10007 @ sK11_X522 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1513]) ).

thf(1532,plain,
    ( ( ~ ( k04_buttercup10012 @ sK11_X522 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1514]) ).

thf(1533,plain,
    ! [SV94: $i] :
      ( ( ( b48_buttercup10307 @ SV94 )
        = $false )
      | ( ( k04_buttercup10303 @ SV94 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1515]) ).

thf(1534,plain,
    ( ( k04_buttercup10303 @ sK15_X324 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1516]) ).

thf(1535,plain,
    ( ( ~ ( b48_buttercup10307 @ sK15_X324 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1517]) ).

thf(1536,plain,
    ( ( b48_buttercup10305 @ sK4_X1060 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1518]) ).

thf(1537,plain,
    ( ( k04_buttercup10303 @ sK4_X1060 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1519]) ).

thf(1538,plain,
    ( ( ~ ( ~ ( sK6_REN
              | ! [SX0: $i] :
                  ( ~ ( k04_buttercup10303 @ SX0 )
                  | ( b48_buttercup10305 @ SX0 ) ) )
          | ~ ( ~ sK6_REN
              | ~ ( ~ ( b48_buttercup10305 @ sK3_X1058 )
                  | ~ ~ ( k04_buttercup10303 @ sK3_X1058 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1520]) ).

thf(1539,plain,
    ( ( ~ ( ~ ~ ( ~ ( ~ ( b48_buttercup10305 @ sK2_X1055 )
                    | ~ ( k04_buttercup10303 @ sK2_X1055 ) )
                | ~ ( ( b48_buttercup10305 @ sK2_X1055 )
                    | ( k04_buttercup10303 @ sK2_X1055 ) ) )
          | ~ ~ ( ~ ( sK5_REN
                    | ! [SX0: $i] :
                        ( ~ ( b48_buttercup10305 @ SX0 )
                        | ( k04_buttercup10303 @ SX0 ) ) )
                | ~ ( ~ sK5_REN
                    | ~ ( ~ ( k04_buttercup10303 @ sK1_X1056 )
                        | ~ ~ ( b48_buttercup10305 @ sK1_X1056 ) ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1521]) ).

thf(1540,plain,
    ! [SV95: $i] :
      ( ( ( b48_buttercup10305 @ SV95 )
        = $false )
      | ( ( k04_buttercup10303 @ SV95 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1522]) ).

thf(1541,plain,
    ( ( k04_buttercup10303 @ sK16_X320 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1523]) ).

thf(1542,plain,
    ( ( ~ ( b48_buttercup10305 @ sK16_X320 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1524]) ).

thf(1543,plain,
    ( ( b48_buttercup10308 @ sK14_X620 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1527]) ).

thf(1544,plain,
    ( ( k04_buttercup10012 @ sK11_X522 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1532]) ).

thf(1545,plain,
    ( ( b48_buttercup10307 @ sK15_X324 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1535]) ).

thf(1546,plain,
    ( ( ~ ( sK6_REN
          | ! [SX0: $i] :
              ( ~ ( k04_buttercup10303 @ SX0 )
              | ( b48_buttercup10305 @ SX0 ) ) )
      | ~ ( ~ sK6_REN
          | ~ ( ~ ( b48_buttercup10305 @ sK3_X1058 )
              | ~ ~ ( k04_buttercup10303 @ sK3_X1058 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1538]) ).

thf(1547,plain,
    ( ( ~ ~ ( ~ ( ~ ( b48_buttercup10305 @ sK2_X1055 )
                | ~ ( k04_buttercup10303 @ sK2_X1055 ) )
            | ~ ( ( b48_buttercup10305 @ sK2_X1055 )
                | ( k04_buttercup10303 @ sK2_X1055 ) ) )
      | ~ ~ ( ~ ( sK5_REN
                | ! [SX0: $i] :
                    ( ~ ( b48_buttercup10305 @ SX0 )
                    | ( k04_buttercup10303 @ SX0 ) ) )
            | ~ ( ~ sK5_REN
                | ~ ( ~ ( k04_buttercup10303 @ sK1_X1056 )
                    | ~ ~ ( b48_buttercup10305 @ sK1_X1056 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1539]) ).

thf(1548,plain,
    ( ( b48_buttercup10305 @ sK16_X320 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1542]) ).

thf(1549,plain,
    ( ( ~ ( sK6_REN
          | ! [SX0: $i] :
              ( ~ ( k04_buttercup10303 @ SX0 )
              | ( b48_buttercup10305 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1546]) ).

thf(1550,plain,
    ( ( ~ ( ~ sK6_REN
          | ~ ( ~ ( b48_buttercup10305 @ sK3_X1058 )
              | ~ ~ ( k04_buttercup10303 @ sK3_X1058 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1546]) ).

thf(1551,plain,
    ( ( ~ ~ ( ~ ( ~ ( b48_buttercup10305 @ sK2_X1055 )
                | ~ ( k04_buttercup10303 @ sK2_X1055 ) )
            | ~ ( ( b48_buttercup10305 @ sK2_X1055 )
                | ( k04_buttercup10303 @ sK2_X1055 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1547]) ).

thf(1552,plain,
    ( ( ~ ~ ( ~ ( sK5_REN
                | ! [SX0: $i] :
                    ( ~ ( b48_buttercup10305 @ SX0 )
                    | ( k04_buttercup10303 @ SX0 ) ) )
            | ~ ( ~ sK5_REN
                | ~ ( ~ ( k04_buttercup10303 @ sK1_X1056 )
                    | ~ ~ ( b48_buttercup10305 @ sK1_X1056 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1547]) ).

thf(1553,plain,
    ( ( sK6_REN
      | ! [SX0: $i] :
          ( ~ ( k04_buttercup10303 @ SX0 )
          | ( b48_buttercup10305 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1549]) ).

thf(1554,plain,
    ( ( ~ sK6_REN
      | ~ ( ~ ( b48_buttercup10305 @ sK3_X1058 )
          | ~ ~ ( k04_buttercup10303 @ sK3_X1058 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1550]) ).

thf(1555,plain,
    ( ( ~ ( ~ ( ~ ( b48_buttercup10305 @ sK2_X1055 )
              | ~ ( k04_buttercup10303 @ sK2_X1055 ) )
          | ~ ( ( b48_buttercup10305 @ sK2_X1055 )
              | ( k04_buttercup10303 @ sK2_X1055 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1551]) ).

thf(1556,plain,
    ( ( ~ ( ~ ( sK5_REN
              | ! [SX0: $i] :
                  ( ~ ( b48_buttercup10305 @ SX0 )
                  | ( k04_buttercup10303 @ SX0 ) ) )
          | ~ ( ~ sK5_REN
              | ~ ( ~ ( k04_buttercup10303 @ sK1_X1056 )
                  | ~ ~ ( b48_buttercup10305 @ sK1_X1056 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1552]) ).

thf(1557,plain,
    ( ( sK6_REN = $true )
    | ( ( ! [SX0: $i] :
            ( ~ ( k04_buttercup10303 @ SX0 )
            | ( b48_buttercup10305 @ SX0 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1553]) ).

thf(1558,plain,
    ( ( ( ~ sK6_REN )
      = $true )
    | ( ( ~ ( ~ ( b48_buttercup10305 @ sK3_X1058 )
            | ~ ~ ( k04_buttercup10303 @ sK3_X1058 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1554]) ).

thf(1559,plain,
    ( ( ~ ( ~ ( b48_buttercup10305 @ sK2_X1055 )
          | ~ ( k04_buttercup10303 @ sK2_X1055 ) )
      | ~ ( ( b48_buttercup10305 @ sK2_X1055 )
          | ( k04_buttercup10303 @ sK2_X1055 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1555]) ).

thf(1560,plain,
    ( ( ~ ( sK5_REN
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10305 @ SX0 )
              | ( k04_buttercup10303 @ SX0 ) ) )
      | ~ ( ~ sK5_REN
          | ~ ( ~ ( k04_buttercup10303 @ sK1_X1056 )
              | ~ ~ ( b48_buttercup10305 @ sK1_X1056 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1556]) ).

thf(1561,plain,
    ! [SV96: $i] :
      ( ( ( ~ ( k04_buttercup10303 @ SV96 )
          | ( b48_buttercup10305 @ SV96 ) )
        = $true )
      | ( sK6_REN = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1557]) ).

thf(1562,plain,
    ( ( sK6_REN = $false )
    | ( ( ~ ( ~ ( b48_buttercup10305 @ sK3_X1058 )
            | ~ ~ ( k04_buttercup10303 @ sK3_X1058 ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1558]) ).

thf(1563,plain,
    ( ( ~ ( ~ ( b48_buttercup10305 @ sK2_X1055 )
          | ~ ( k04_buttercup10303 @ sK2_X1055 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1559]) ).

thf(1564,plain,
    ( ( ~ ( ( b48_buttercup10305 @ sK2_X1055 )
          | ( k04_buttercup10303 @ sK2_X1055 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1559]) ).

thf(1565,plain,
    ( ( ~ ( sK5_REN
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10305 @ SX0 )
              | ( k04_buttercup10303 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1560]) ).

thf(1566,plain,
    ( ( ~ ( ~ sK5_REN
          | ~ ( ~ ( k04_buttercup10303 @ sK1_X1056 )
              | ~ ~ ( b48_buttercup10305 @ sK1_X1056 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1560]) ).

thf(1567,plain,
    ! [SV96: $i] :
      ( ( ( ~ ( k04_buttercup10303 @ SV96 ) )
        = $true )
      | ( ( b48_buttercup10305 @ SV96 )
        = $true )
      | ( sK6_REN = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1561]) ).

thf(1568,plain,
    ( ( ( ~ ( b48_buttercup10305 @ sK3_X1058 )
        | ~ ~ ( k04_buttercup10303 @ sK3_X1058 ) )
      = $false )
    | ( sK6_REN = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1562]) ).

thf(1569,plain,
    ( ( ~ ( b48_buttercup10305 @ sK2_X1055 )
      | ~ ( k04_buttercup10303 @ sK2_X1055 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1563]) ).

thf(1570,plain,
    ( ( ( b48_buttercup10305 @ sK2_X1055 )
      | ( k04_buttercup10303 @ sK2_X1055 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1564]) ).

thf(1571,plain,
    ( ( sK5_REN
      | ! [SX0: $i] :
          ( ~ ( b48_buttercup10305 @ SX0 )
          | ( k04_buttercup10303 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1565]) ).

thf(1572,plain,
    ( ( ~ sK5_REN
      | ~ ( ~ ( k04_buttercup10303 @ sK1_X1056 )
          | ~ ~ ( b48_buttercup10305 @ sK1_X1056 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1566]) ).

thf(1573,plain,
    ! [SV96: $i] :
      ( ( ( k04_buttercup10303 @ SV96 )
        = $false )
      | ( ( b48_buttercup10305 @ SV96 )
        = $true )
      | ( sK6_REN = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1567]) ).

thf(1574,plain,
    ( ( ( ~ ( b48_buttercup10305 @ sK3_X1058 ) )
      = $false )
    | ( sK6_REN = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1568]) ).

thf(1575,plain,
    ( ( ( ~ ~ ( k04_buttercup10303 @ sK3_X1058 ) )
      = $false )
    | ( sK6_REN = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1568]) ).

thf(1576,plain,
    ( ( ( ~ ( b48_buttercup10305 @ sK2_X1055 ) )
      = $true )
    | ( ( ~ ( k04_buttercup10303 @ sK2_X1055 ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1569]) ).

thf(1577,plain,
    ( ( ( b48_buttercup10305 @ sK2_X1055 )
      = $true )
    | ( ( k04_buttercup10303 @ sK2_X1055 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1570]) ).

thf(1578,plain,
    ( ( sK5_REN = $true )
    | ( ( ! [SX0: $i] :
            ( ~ ( b48_buttercup10305 @ SX0 )
            | ( k04_buttercup10303 @ SX0 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1571]) ).

thf(1579,plain,
    ( ( ( ~ sK5_REN )
      = $true )
    | ( ( ~ ( ~ ( k04_buttercup10303 @ sK1_X1056 )
            | ~ ~ ( b48_buttercup10305 @ sK1_X1056 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1572]) ).

thf(1580,plain,
    ( ( ( b48_buttercup10305 @ sK3_X1058 )
      = $true )
    | ( sK6_REN = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1574]) ).

thf(1581,plain,
    ( ( ( ~ ( k04_buttercup10303 @ sK3_X1058 ) )
      = $true )
    | ( sK6_REN = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1575]) ).

thf(1582,plain,
    ( ( ( b48_buttercup10305 @ sK2_X1055 )
      = $false )
    | ( ( ~ ( k04_buttercup10303 @ sK2_X1055 ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1576]) ).

thf(1583,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( b48_buttercup10305 @ SV97 )
          | ( k04_buttercup10303 @ SV97 ) )
        = $true )
      | ( sK5_REN = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1578]) ).

thf(1584,plain,
    ( ( sK5_REN = $false )
    | ( ( ~ ( ~ ( k04_buttercup10303 @ sK1_X1056 )
            | ~ ~ ( b48_buttercup10305 @ sK1_X1056 ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1579]) ).

thf(1585,plain,
    ( ( ( k04_buttercup10303 @ sK3_X1058 )
      = $false )
    | ( sK6_REN = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1581]) ).

thf(1586,plain,
    ( ( ( k04_buttercup10303 @ sK2_X1055 )
      = $false )
    | ( ( b48_buttercup10305 @ sK2_X1055 )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1582]) ).

thf(1587,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( b48_buttercup10305 @ SV97 ) )
        = $true )
      | ( ( k04_buttercup10303 @ SV97 )
        = $true )
      | ( sK5_REN = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1583]) ).

thf(1588,plain,
    ( ( ( ~ ( k04_buttercup10303 @ sK1_X1056 )
        | ~ ~ ( b48_buttercup10305 @ sK1_X1056 ) )
      = $false )
    | ( sK5_REN = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1584]) ).

thf(1589,plain,
    ! [SV97: $i] :
      ( ( ( b48_buttercup10305 @ SV97 )
        = $false )
      | ( ( k04_buttercup10303 @ SV97 )
        = $true )
      | ( sK5_REN = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1587]) ).

thf(1590,plain,
    ( ( ( ~ ( k04_buttercup10303 @ sK1_X1056 ) )
      = $false )
    | ( sK5_REN = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1588]) ).

thf(1591,plain,
    ( ( ( ~ ~ ( b48_buttercup10305 @ sK1_X1056 ) )
      = $false )
    | ( sK5_REN = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1588]) ).

thf(1592,plain,
    ( ( ( k04_buttercup10303 @ sK1_X1056 )
      = $true )
    | ( sK5_REN = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1590]) ).

thf(1593,plain,
    ( ( ( ~ ( b48_buttercup10305 @ sK1_X1056 ) )
      = $true )
    | ( sK5_REN = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1591]) ).

thf(1594,plain,
    ( ( ( b48_buttercup10305 @ sK1_X1056 )
      = $false )
    | ( sK5_REN = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1593]) ).

thf(1595,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[1097,1594,1592,1589,1586,1585,1580,1577,1573,1548,1545,1544,1543,1541,1540,1537,1536,1534,1533,1531,1530,1529,1528,1526,1525,1482,1481,1480,1479,1478,1477,1476,1475,1474,1473,1472,1471,1470,1469,1468,1467,1466,1465,1464,1463,1462,1461,1460,1459,1458,1457,1456,1455,1454,1453,1452,1451,1450,1449,1448,1447,1446,1445,1444,1443,1442,1441,1440,1439,1438,1437,1436,1435,1434,1433,1432,1431,1430,1429,1428,1427,1426,1425,1424,1423,1422,1421,1420,1419,1418,1417,1416,1415,1414,1413,1412,1411,1410,1409,1408,1407,1406,1405,1404,1403,1402,1401,1400,1399,1398,1397,1396,1395,1394,1190,1189,1188,1187,1098]) ).

thf(1596,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[1595]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYO580+1 : TPTP v8.1.0. Released v5.5.0.
% 0.11/0.13  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34  % Computer : n025.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jul  9 12:25:45 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.49  ..............
% 0.57/0.77  
% 0.57/0.77   No.of.Axioms: 885
% 0.57/0.77  
% 0.57/0.77   Length.of.Defs: 0
% 0.57/0.77  
% 0.57/0.77   Contains.Choice.Funs: false
% 0.64/0.86  .............................
% 0.70/0.89  (rf:2,axioms:100,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:887,loop_count:0,foatp_calls:0,translation:fof_full)............................
% 0.78/1.02  
% 0.78/1.02  ********************************
% 0.78/1.02  *   All subproblems solved!    *
% 0.78/1.02  ********************************
% 0.78/1.02  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:2,axioms:100,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1595,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.93/1.15  
% 0.93/1.15  %**** Beginning of derivation protocol ****
% 0.93/1.15  % SZS output start CNFRefutation
% See solution above
% 0.93/1.16  
% 0.93/1.16  %**** End of derivation protocol ****
% 0.93/1.16  %**** no. of clauses in derivation: 811 ****
% 0.93/1.16  %**** clause counter: 1595 ****
% 0.93/1.16  
% 0.93/1.16  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:2,axioms:100,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1595,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------